Answers
Answer:
C
Step-by-step explanation:
Start with the vertex. It is the lowest point. It is located at (-2,4)
The axis of symmetry is always the x value when the parabola opens upward or down ward. This parabola opens upward so it is x = - 2.
The answer is C
Related Questions
The cost of a class field trip is $15 per person, plus $50 for a bus ride. Which function can be used to find the total cost C(x) of a field trip for x students
Answers
what can 7 and 5 both be divided by
Answers
7/1=7 and 5/1=5
Or you can divide 35 by both of them
35/7=5 and 35/5=7
please help me with these 4 questions will mark branliest whoever gets all of it right
Answers
Answer:
1. The answer is 40 degrees
2. Adjacent angles are sometimes congruent.
3. UPR is vertical to TPQ
4. The answer is 132 Degrees
The table shows the shoe sizes of women of different ages. A 2-column table with 4 rows. The first column is labeled age with entries 18, 30, 52, 64. The second column is labeled shoe size with entries 7, 10, 6, 9. Which best describes the strength of the model? a weak positive correlation a strong positive correlation a weak negative correlation a strong negative correlation
Answers
Answer:
A.) weak positive correlation
The person above just wanted to steal points.
Step-by-step explanation:
Answer:
The correct answer is a weak positive correlation
or
A
Step-by-step explanation:
In a triple batch of spice mix, there are 6 teaspoons of garlic powder and 15 teaspoons of salt. Answer the following questions about the mix. If you get stuck, create a double number line.
Answers
In a double number line diagram, equal ratios are represented by two parallel number lines. On both number lines, the tick marks are in the same places. Though the other numbers are frequently varied, the tick marks labeled with 0 always line up.
How to create a double number line?According to question:-
How much more garlic powder than salt is in the triple batch?
Answer: 6 teaspoons of garlic powder - 15 teaspoons of salt = -9 teaspoons. So there is 9 teaspoons less garlic powder than salt in the triple batch.
How much spice mix is in the triple batch?
Answer: 6 teaspoons of garlic powder + 15 teaspoons of salt = 21 teaspoons of spice mix.
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To be able to walk to the center $C$ of a circular fountain, a repair crew places a 16-foot plank from $A$ to $B$ and then a 10-foot plank from $D$ to $C$, where $D$ is the midpoint of $\overline{AB}$ . What is the area of the circular base of the fountain
Answers
The area of the circular base of the fountain is 179 square feet.
What is the area of the circular base ?A circle's area is equal to its radius, r, squared, then multiplied by the mathematical constant pi: A = pi x r2.
A cylinder has two bases that are two congruent circles at the top and bottom. The radius r of a cylinder is only the radius of the circular bases, and the height h of a cylinder is the perpendicular distance between these bases.
Combined area of the walkway and fountain: (3.14)112=379.94 ft2.
Fountain area: (3.14)8*2=200.96 feet
Walkway area: 379.94-200.96=178.98 square feet, which is also rounded to 179 square feet.
The area of the circular base of the fountain is 179 square feet.
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What is the nature of the roots of the quadratic equation 5x^2 4x 1?
Answers
The nature of roots of quadratic equation 5x² = 4x - 1 is imaginary roots.
The standard form of a quadratic equation is:
ax² + bx + c = 0
The discriminant is defined as:
D = b² - 4ac
Using the value of discriminant, we can determine the nature of roots of a quadratic equation.
If:
D > 0, the quadratic equation has two distinct real roots or the roots are real and distinct.
D = 0, the quadratic equation has 1 real equal roots or the roots are unique
D < 0, the quadratic equation has complex conjugate roots or the roots are imaginary.
In this case, the quadratic equation is:
5x² = 4x - 1
transform it into the standard form:
5x² - 4x + 1 = 0
Calculate the discriminant:
D = (-4)² - 4 (5)(1)
= 16 - 20 = -4
Since D < 0, the roots are imaginary.
Your question is incomplete, but most probably your question was:
What is the nature of roots of quadratic equation 5x² = 4x - 1?
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Mr. Mutler posts his students' artwork on a bulletin board.
The width and length of the bulletin board are whole
numbers. What could be the dimensions of the bulletin board
Mr. Butler uses?
Area - 15 square feet
Answers
The dimensions of the bulletin board could be as follows:
length = 5 ft.
width = 3 ft.
What is the are of rectangle?[tex]A = l\times w[/tex]
where, 'l' represents the length of the rectangle
and 'w' represents the width of the rectangle
What are factors?"If multiplying two whole numbers gives us a number, then the numbers we are multiplying are the factors of the product number."
For given example,
An area of the rectangular bulletin board is 15 sq. ft.
⇒ A = 15 sq. ft.
⇒ l × w = 15
Given that, the width and length of the bulletin board are whole
numbers.
Factors of 15 are,
15 = 5 × 3
15 = 15 × 1
From given figure we can say that he could use the dimension 5 ft. × 3 ft. for the bulletin board.
This means, the length of the bulletin board could be 5 ft. and the width could be 3 ft.
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What is the volume of the composite shape to the nearest whole number? (Pls answer, due today!)
A. 1,178 in^3
B. 1,035 in^3
C. 960 in^3
D. 2,138 in^3
Answers
Answer:
2,138 in^3
Step-by-step explanation:
I know this is old but other people can find this helpful
I need help on this question: Triangle ABC is similar to triangle XYZ. What is the length of AC in inches?
Answers
Answer: 3√13
Step-by-step explanation:
To find the length of AC we need to use the Pythagorean theorem.
Which is AC^2 = BC^2 + AB^2
AC^2 = 6^2 + 9^2
AC^2 = 36 + 81
AC^2 = 117
AC = √117
You accumulated a balance of $2,300 on your credit card that carries an interest rate of 17%. You can't afford to pay the $2,300 all at once, but you can pay the minimum payment, which is 2% per month or $25, whichever is greater. What is the balance on your card after 5 years?
Answers
Answer:
$1,591.67
Step-by-step explanation:
The computation of the balance after 5 years is shown below:
Given that
Accumulated Balance on Credit Card = P = $2,300
r = Monthly interest amount = 17% ÷ 12 = 1.41666667%
M = Minimum payment = 2%
Now
Balance on Credit Card after t year = P × (1+r) ×(1-M)
= $2,300 × (1+1.41666667%)^t × (1 - 2%)^t
= $2,300 × (0.993883337)^t
SO,
Balance on Credit Card after 5 years is
= $2,300 × (0.993883337)^60
= $2,300 × 0.692029437
= $1,591.66771
= $1,591.67
A small business makes bottles of
temonade. Today, they have 528 ounces
of lemonade to bottle. Each bottle holds
24 ounces of lemonade. They sell each
bottle for $2.
Write two equations with variables that
can be used to find how many dollars
the business will receive by selling all of
the bottles.
Answers
The amount of money that the business will receipt is $44.
given:
Small business makes bottles of lemonade today they have 528 oz of lemonade to the bottle each bottle holds 24 oz of lemonade they sell each bottle for $2 how much money will the business receipt
From the above question:
24oz of Lemonade = 1 bottle
528 oz of Lemonade = x
Cross Multiply
24 × x = 528
x = 528/24
x = 22 bottles
We are told that: they sell each bottle for $2
Hence:
1 bottle = $2
22 bottles = y
Cross Multiply
y = 22 × $2
y = $44
Therefore, the amount of money that the business will receipt = $44
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Please answer these questions with steps explaining how to solve them. Also please go step by step explaining what you did.
x/3 - 3 = x/9 + 3
Answers
Answer:
what does x mean, like what number does it represent in this situation
Answer:
x = 27
Step-by-step explanation:
I made '3' into 9/3
x/3 - 9/3 = x/9 + 9/3
convert terms to fractions with a denominator of 9
x/3 = 3x/9
9/3 = 27/9
3x/9 - 27/9 = x/9 + 27/9
(3x-27)/9 = (x+27)/9
since each denominator equals 9 we can set the numerators equal to each other:
3x - 27 = x + 27
3x = x + 54
2x = 54
x = 27
6. Which inequality is shown in the graph? Why? Show or explain.
A. Y S x + 2
B. ys x+1
C. y > 2x + 1
D. y < 2x + 1
Answers
It would be letter C
What is the relation between direction cosines of a vector?
Answers
The direction cosines of a vector are the cosines of the angles between the vector and the three mutually perpendicular axes of a coordinate system.
The direction cosines of a vector [tex]$\mathbf{a}$[/tex] are denoted by l, m and n. Mathematically, the relation between these direction cosines is given by:
[tex]$$\mathbf{a}=l\mathbf{\hat{i}}+m\mathbf{\hat{j}}+n\mathbf{\hat{k}}$$[/tex]
where i,j and k are unit vectors along the three axes of the coordinate system.
To calculate the direction cosines of a given vector [tex]$\mathbf{a}$[/tex] with components [tex]$a_x$, $a_y$ and $a_z$[/tex], we can use the following formula:
[tex]$$l = \frac{a_x}{\sqrt{a_x^2+a_y^2+a_z^2}}$$[/tex]
[tex]$$m = \frac{a_y}{\sqrt{a_x^2+a_y^2+a_z^2}}$$ \\ $$n = \frac{a_z}{\sqrt{a_x^2+a_y^2+a_z^2}}$$[/tex]
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a number is 6.14 what way represent the value of the 4 in 6.14
Answers
Answer:
Step-by-step explanation:
the value of the 4 in 6.14 is 0.04.
this is because the 4, or in this case 0.04
is in the hundredths place. So it is
suppose to have 0, where the 6 goes (also
the ones or units) The decimal point, another 0
where the 1 goes, ( the tenths) and finally back
to the 4. (Like I said, it’s the hundredths place)
so there you have it. Your answer will be 0.04
A plane flying with an air speed of 300 mph at 50 degrees and it crosses the jet stream, which is blowing at 200 mph at an angle of 160 degrees. The plane's actual velocity with respect to the ground is the vector sum of these two velocities. Find the actual velocity to the nearest whole mph and degree (add the sum of the vectors).
Answers
Answer:
298.24 mph at an angle of 89 degrees
Step-by-step explanation:
[tex]v_p[/tex] = Velocity of plane = 300 mph at 50 degrees
[tex]v_j[/tex] = Velocity of jet stream = 200 mph at 160 degrees
The velocity of the plane in component form is
[tex]v_p=300\cos50^{\circ}\hat{i}+300\sin50^{\circ}\hat{j}[/tex]
The velocity of the jet stream in component form is
[tex]v_j=200\cos160^{\circ}\hat{i}+200\sin160^{\circ}\hat{j}[/tex]
Resultant velocity is given by
[tex]v=(300\cos50^{\circ}+200\cos160^{\circ})\hat{i}+(300\sin50^{\circ}+200\sin160^{\circ})\hat{j}\\\Rightarrow v=4.9\hat{i}+298.2\hat{j}[/tex]
Magnitude is given by
[tex]|v|=\sqrt{4.9^2+298.2^2}\\\Rightarrow |v|=298.24\ \text{mph}[/tex]
Angle is given by
[tex]\theta=\tan^{-1}\dfrac{298.2}{4.9}=89^{\circ}[/tex]
The velocity of the plane is 298.24 mph at an angle of 89 degrees.
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.1 gallons. A previous study found that for an average family the variance is 5.76 gallons and the mean is 19.5 gallons per day. If they are using a 90% level of confidence, how large of a sample is required to estimate the mean usage of water? Round your answer up to the next integer.
Answers
Answer:
The right solution is "1559".
Step-by-step explanation:
The given values are:
Variance,
[tex]\sigma=\sqrt{5.76}[/tex]
[tex]=2.40[/tex]
Maximum error,
[tex]M.E=0.1[/tex]
At 90% confidence level,
[tex]\alpha=0.1[/tex]
According to the z-table, the critical value will be:
[tex]Zc=1.645[/tex]
Now,
The sample size will be:
⇒ [tex]n=(Zc\times \frac{\sigma}{E} )^2[/tex]
On substituting the values, we get
⇒ [tex]=(1.645\times \frac{2.4}{0.1} )^2[/tex]
⇒ [tex]=(1.645\times 24)^2[/tex]
⇒ [tex]=(39.48)^2[/tex]
⇒ [tex]=1558.67[/tex]
or,
⇒ [tex]=1559[/tex]
•18 POINTS• don’t explain
a.) neither
b.)SAS
c.)HL
Answers
SAS congruence theorem should be used.
Option (B) is correct.
What is the SAS congruence theorem?
In Euclidean geometry, the SAS congruence theorem states that if two triangles have two sides of one triangle congruent (equal in length) to two sides of the other triangle, and the included angle is congruent, then the triangles are congruent. This theorem is often abbreviated as SAS, and is used in combination with other congruence theorems, such as ASA and SSS, to prove that triangles are congruent.
In the given picture, we can say both triangles has the same side of length 7 and along with it, one more side is of equal length.
and both triangles are having the right-angle,
so we can say that we can prove these triangles congruent by using SAS congruence theorem.
Hence, SAS congruence theorem should be used.
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Which area model represents the factorization x2+3x+2=(x+2)(x+1)?
Answers
The factorization of the polynomial x² + 3x + 2 gives (x + 1)(x + 2)
What is an equation?An equation is an expression that shows how numbers and variables relate with each other.
A polynomial is an expression consisting of variables and their exponents with operations of addition and subtraction. Polynomials are classified based on degree as linear, quadratic and cubic.
The standard form of a quadratic equation is:
y = ax² + bx + c
where a, b and c are constants.
Given the polynomial:
x² + 3x + 2
Factorizing the polynomial:
x² + 2x + x + 2
= x(x + 2) + 1(x + 2)
= (x + 1)(x + 2)
The factorization gives (x + 1)(x + 2)
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What is the AAA equation?
Answers
If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.
Consider two triangles ABC and XYZ, if ∠ A = ∠X and ∠C = ∠Z then
ΔABC ~ΔXYZ.
If, two triangles ΔABC and ΔXYZ are similar only if,
i)∠A =∠X, ∠B =∠Y and ∠C=∠Z
ii)AB/XY=BC/YZ=AC/XZ
"AAA" means "Angle, Angle, Angle" when we know all three angles of a triangle, but no sides.
If two triangles have their corresponding angles equal if and only if their corresponding sides are proportional.
An AAA triangle is a triangle where only the three angles are defined:
α + β + γ = 180°
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A. X=9
B. X=14
C. X=16
D. X=12
E. X=10
Answers
Answer:
Angle K is 1/2 the measure of arc JL, so JL = 228. Add arc KL to arc JL to get 268 and subtract from 360. 360 - 268 = 92. 8x - 36 = 92. X = 16.
Step-by-step explanation:
Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 112.
x+4
Answers
The inequality to discover the values of x for which the rectangle's perimeter is under 112 is x< 26.
what is inequality ?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal symbol (). Different inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
given
perimeter of a rectangle = length + length + width + width
length + length + width + width = perimeter of a rectangle
(x +4) + (x+4) + x + x < 112
x + 4 + x + 4 + x + x < 112
4x + 8 < 112
4x < 104
x < 26
So ,The inequality to discover the values of x for which the rectangle's perimeter is under 112 is x< 26.
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Find the perimeter of the parallelogram using the Pythagorean Theorem
Answers
Answer:
The perimeter of the paralellogram is [tex]24 + 2\sqrt{34}[/tex] units.
Step-by-step explanation:
We shall use the Pythagorean Theorem to determine the length of the two oblique line of the figure. From Geometry, we know that the perimeter of the parallelogram is the sum of the lengths of the four sides of the parallelogram.
First, we calculate the length of the oblique line, that is:
[tex]l_{O} = \sqrt{5^{2} + 3^{2}}[/tex]
[tex]l_{O} = \sqrt{34}[/tex]
Second, we determine the length of the vertical line by direct observation, that is:
[tex]l_{V} = 12[/tex]
Lastly, the perimeter is determined by the following formula:
[tex]p = 2\cdot (l_{O}+l_{V})[/tex]
[tex]p = 24+2\sqrt{34}[/tex]
The perimeter of the paralellogram is [tex]24 + 2\sqrt{34}[/tex] units.
Answer: 35.7
(This is the answer squared by the way)
Step-by-step explanation:
Which graph represents the following system of inequalities? y>(1)/(2)x-1 y<=-x+1 y>-2x-1
Answers
Answer:
? We don't see any graphs to choose from
Step-by-step explanation:
[tex]y>\frac{1}{2}x-1[/tex] Graph a dotted line (to show it's not included) with y-intercept 1 and slope 1/2. Test the origin (0, 0) in the inequality:
[tex]0 > \frac{1}{2}0 - 1 = -1[/tex] This is true, so shade the side of the line that the origin is on (above the line).
Next inequality...
[tex]y \le x+1[/tex] Graph a solid line with y=intercept 1 and slope 1. Test the origin.
[tex]0 \le 0+1=1[/tex] True! Shade the side of the line the origin is on (below the line). See image2, attached.
[tex]y>-2x-1[/tex] Graph a dotted line with y-intercept -1 and slope -2. Test the origin (0, 0).
[tex]0>-2(0)-1=-1[/tex] True, so shade the side the origin is on (above the line).
The solutions are located where all the shadings intersect. See image3. The solutions are above the red line, above the green line and below the blue line.
Select the theorem that can be used to prove that RST = VUT
Answers
Reasoning:
Although it appears the two triangles only contain a pair of corresponding, congruent angles and an included pair of corresponding, congruent sides, there is one more angle pair. Angles STR and UTV are vertical angles, making them congruent. Therefore, we know have a pair of corresponding, congruent angels, a pair of the included corresponding, congruent sides, and another pair of corresponding, congruent angles. Thus, ASA can be used.
Angel missies 4% of the free throws he attempts in a season. How many total free throws did he attempt if he missed 55
Answers
Answer:
Step-by-step explanation:
55 times 25, making Angel attempt 1375 free throws
Answer:
Step-by-step explanation:
Its 700% because 7x3 = 11
Gianna has $760 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $356.46.
She buys 2 bicycle reflectors for $10.01 each and a pair of bike gloves for $20.72.
She plans to spend some or all of the money she has left to buy new biking outfits for $45.35 each.
Write and solve an inequality which can be used to determine
o
o, the number of outfits Gianna can purchase while staying within her budget.
Answers
Answer:
Gianna has $760 to spend and she has already spent $356.46 on a new bicycle, $10.01 on 2 bicycle reflectors, and $20.72 on a pair of bike gloves.
The total amount spent on these items is $356.46 + $10.01 + $20.72 = $387.19.
Gianna has $760 - $387.19 = $<<760-387.19=372.81>>372.81 left to spend on biking outfits.
She wants to buy biking outfits that cost $45.35 each.
We can write an inequality to represent the number of outfits Gianna can purchase while staying within her budget as follows:
45.35o <= 372.81
This inequality can be solved by dividing both sides by 45.35:
o <= 8.24
Therefore, Gianna can purchase 8 biking outfits while staying within her budget.
Step-by-step explanation:
HELP ASAP
A snail is moving away from a rock.
The equation d=3t represents the relationship between the distance, d , in inches that the snail is from the rock and time, t, in minutes. What does the number 3 represent in this equation?
Answers
Distance and time here is directly proportional to each other and the term '3' shows that the distance is increasing, is 3 times of the time, increased.
Given,
A snail is moving away from a rock.
The equation d=3t represents the relationship between the distance, d , in inches that the snail is from the rock and time, t, in minutes.
The number '3' is constant term, which basically represents the the distance covered by the snail, in terms of time or, the rate of increment of distance is terms of time.
Distance and time here is directly proportional to each other and the term '3' shows that the distance is increasing, is 1/3 of the time, increased.
For example if the snail is moving for 1 unit time, the t will be considered as 1. so, the d will be 3*1 = 3, i.e. 3 unit distance will be covered by the snail in 1 unit time.
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Select the correct answer. Which logarithmic equation is equivalent to this exponential equation? 2,400=7,500 (10) ^ -x
Answers
The logarithmic equation that is equivalent to this exponential equation 2,400=7,500 (10) ^ -x is [tex]x = -log_{10} \frac{8}{25}[/tex]. Option C
How to solve for the equationfrom the question we have:
2400 = 7500(10)⁻ˣ
we would have to transform the equation that we have here into the logarithm form.
This is written as:
[tex]\frac{2400}{7500}=10^-^x[/tex]
from here we are to reduce the division
hence we would have:
[tex]10^-^x = \frac{8}{25}[/tex]
-x = log₁₀8/25
then
[tex]x = -log_{10} \frac{8}{25}[/tex]
option c is correct
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