Answer:
19.
Step-by-step explanation:
Which of the following are solutions to the equation below?
Check all that apply.
4x^2 + 20x + 25 = 49
A. x = -1
B. x = 1
C. x = 6
D. x = -6
E. x = √7-5/2
F. x = -√7-5/2
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve the given equation ~
[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x + 25 = 49[/tex]
[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x + 25 - 49 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x - 24 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:4( {x}^{2} + 5x - 6) = 0[/tex]
[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 5x - 6 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 6x - x - 6 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:x(x + 6) - 1(x + 6) = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:(x + 6)(x - 1) = 0[/tex]
Hence, we get -6 and 1 as our roots ~
So, the correct choices are : B and D
Kristen is doing her math homework for each problem she uses 1/3 of a sheet of paper how many sheets of paper will she need for nine problems
Answer:
Step-by-step explanation:
because nine is greater than one, you get one whole for each time you can fit 9 in 3. The answer will be 3. (3x3 is nine)
Which of the following is the growing elderly population attributed to?
Baby boomers are now approaching elderly ages.
Lower death rates means more people live longer.
Advancements in science and medicine extend lives.
Preventive health care has eliminated deadly diseases.
Answer: lower death rates
Step-by-step explanation:
Determine the center and radius: x2 + y2 - 10x + 8y -8 = 0
So our equation currently is ⇒ [tex]x^2+y^2-10x+8y-8 = 0[/tex]
Let's first move all the constant to one side and group 'like variables' together:
[tex](x^2-10x)+(y^2+8y) = 8[/tex]
Now lets complete the square of both equations
[tex](x^2-10x+25)+(y^2+8y +16) = 8 + 25 + 16\\(x-5)^2+(y+4)^2 = 49\\(x-5)^2+(y+4)^2 = 7^2[/tex]
Now we know the circle's general equation format is:
⇒[tex](x-h)^2+(y-k)^2 = r^2[/tex]
(h, k) ⇒ coordinate of the center of the circler ⇒ length of radius of circleThus the radius of the circle is 7
Hope that helps!
a cube shaped shed has a 6 foot high walls if all the shed's walls are painted not including the floor or ceiling how much area will be painted
The tent shown is a triangular prism. What is the amount of space inside the tent?
A.What is the length of the tent, to the nearest foot, from the front to the back?
B. What formula will find the space inside the tent ? what is the space inside the tent?
The length of the tent to the nearest foot, from the front to the back is 42 ft. the total amount of space inside the tent is 816.83 cubic feet.
What is the volume of a right triangular prism?A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.
The volume of a right triangular prism = ( height × Base Area)
A. The length of the tent to the nearest foot, from the front to the back
= 15 + 6 + 15+ 6
= 42 ft
B. Given that the tent is in the shape of a triangular prism the volume of the prism will be given by:
The volume of a right triangular prism = ( height × Base Area)
height = √(36 - 9)
= √27
The volume of a right triangular prism = √27 × 157.2
= 816.83
Learn more about triangular prism;
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If somebody sells TVs and the formula they use is A = 800 + 200t and A = her total income and t = the amount they sell, how much money will they receive if they sell 9 TVs?
Answer:
$2600
Step-by-step explanation:
It is given that the variables:
A = total income
t = amount of TV they sell.
It is also given that they sold 9 TVs. Plug in 9 for t in the given equation:
A = 800 + 200t
A = 800 + 200(9)
A = 800 + 1800
A = 2600
$2600 is the total amount they will receive if they sell 9 TVs.
~
im not sure how to solve this can somebody help
The population of organisms is described by the following exponential equation:
P(t) = 18,000*(0.9966)^t
How to get the exponential equation?
The general exponential equation is:
P(t) = A*(b)^t
Where A is the initial value, b depends on the percentage that changes, and t is the variable.
In this case, the population decreases by 3.4%, then we have:
B = 1 - 3.4%/100% = 0.9966
And the initial value is 18,000 organisms, replacing that in the general equation we get:
P(t) = 18,000*(0.9966)^t
This is the equation that represents the population.
If you want to learn more about exponential equations, you can read:
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56 units needed, 6 units per case
Answer:
10 cases 4 units over
Step-by-step explanation:
Help with this math question please
Answer:ur doomed dude I don’t know
Step-by-step explanation:
A 200 pound person weighs 33 pounds on the moon. Type the answers in the boxes below. 1. How much did the person's weight decrease?
What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Answer:
please add the picture for us to see.
Step-by-step explanation:
PLEASE SOLVE ASAP!! 100 POINTS
Answer:
∠DBC = 155°
Step-by-step explanation:
Assuming that ABC is a straight line.
Angles on a straight line sum to 180°.
⇒ (2x² + 3x - 2) + ∠DBC = 180°
⇒ ∠DBC = 180° - (2x² + 3x - 2)
The sum of the interior angles of a triangle is 180°:
⇒ (x² + 1) + (4x + 3) + ∠DBC = 180°
⇒ ∠DBC = 180° - (x² + 1) - (4x + 3)
Therefore, we can equate the equations and solve for x:
⇒ ∠DBC = ∠DBC
⇒ 180 - (2x² + 3x - 2) = 180 - (x² + 1) - (4x + 3)
⇒ 180 - 180 = (2x² + 3x - 2) - (x² + 1) - (4x + 3)
⇒ (2x² + 3x - 2) - (x² + 1) - (4x + 3) = 0
⇒ 2x² + 3x - 2 - x² - 1 - 4x - 3 = 0
⇒ x² - x - 6 = 0
⇒ x² + 2x - 3x - 6 = 0
⇒ x(x + 2) - 3(x + 2) = 0
⇒ (x + 2)(x - 3) = 0
Therefore, x = -2, x = 3
As angles are positive, x = 3 only
Substituting found value of x into the angle expressions:
⇒ ∠BDC = x² + 1 = (3)² + 1 = 10°
⇒ ∠DCB = 4x + 3 = 4(3) + 3 = 15°
The sum of the interior angles of a triangle is 180°:
⇒ ∠DBC + ∠BDC + ∠DCB = 180°
⇒ ∠DBC = 180° - ∠BDC - ∠DCB
⇒ ∠DBC = 180° - 10° - 15°
⇒ ∠DBC = 155°
Sum of two interiors=exterior
x²+1+4x+3=2x²+3x-2x²+4x+4=2x²+3x-22x+6=x²x²-x+6=0(x-3)(x+2)=0Take it positive
x=3Now
2x²+3x-22(3)²+3(3)-22(9)+9-218+725Now
<DBC=180-25=155°
the 5 degree measures of 5 angles are 30 degrees, 40 degrees, 35 degrees, 50 dgrees, and 55 degrees. Find the measdian angle measure. Change it to radius. round your answer to the nearest hundredth.
Answer is The measure of median angle is 0.700 radians.
Help help math math math
Answer: The slope is 3
Step-by-step explanation:
The formula for slope is [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Where
[tex](x_1,y_1)[/tex]= coordinates of the first point in the line
[tex](x_2,y_2)[/tex]= coordinates of the second point in the line
Let's use (2,-3) for the first point and (4, 3) for the second point.
Sub the values into our formula
[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\\\frac{3-(-3)}{4-2}[/tex]
Now simplify
[tex]\frac{3-(-3)}{4-2}\\\frac{6}{2}\\3[/tex]
Answer:
The slope is 3
Step-by-step explanation:
Please help me understand the question
Answer:
○ [tex]\displaystyle \textcolor{black}{C.}\:triangle[/tex]
Explanation:
This is a triangular prism. Its faces are triangular, but the lateral faces are rectangular. All prisms will have lateral faces shaped as rectangles. Do not ever forget this.
I am joyous to assist you at any time.
Which point is not on the graph of the equation: y = 10 + x?
A. (0, 10)
B. (3, 13)
C. (8, 2)
D. (5, 15)
Al the points except (8, 2) will give us a true equation when substituted into the equaton, so, (8, 0) is not the graph of the equation.
What is a Point on a Graph of an Equation?Any coordinate point on a graph represented by an equation will give a true equation if the points are plugged into the equation and evaluated.
(8, 2) is not on the graph of y = 10 + x because substituting x = 8 and y = 2 into the equation will give us:
2 = 10 + 8
2 = 18 (not true).
The rest points will give us a true equation except (8, 2).
(8, 2) is not a point on the graph.
Learn more about point on a graph on:
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please read the picture and help
Answer:
A.) (-4,-2)
Step-by-step explanation:
Because the lines intersect
Find the midpoint M of the line segment joining the points C = (-1, 1) and D = (5, – 7).
=
=
Answer: (2,-3)
Step-by-step explanation:
If the rate of markup on selling price is 40%, what is the rate of markup on cost.
A phone sells for $245. It is now on sale for off the original price.
April has a coupon for an extra 10% off the sale price. To the nearest
dollar, how much less than the original price will April pay for the
phone?
A. $25
B. $49
C. $68
D. $69
Answer:
$25
Step-by-step explanation:
[tex]current \: selling \: price = 245 \\ 10 \: percent \: of \: 245 = \frac{10}{100} \times 245 \\ = 0.1 \times 245 = 24.5 \\ 25 \: to the nearest dollar \\ he \: will \: pay \: 25dollars \: less[/tex]
$25
PLEASE RATE AND MARK BRIANLIEST
Witch is a following radical to …
Answer:
B
Step-by-step explanation:
The circumference of a circle is37.68 kilometers. What is the circle's radius?
circumference= 37.68 km
to find:the circle's radius.
solution:[tex]r = \frac{c}{2\pi} [/tex]
[tex]r = \frac{37.68}{2\pi} [/tex]
[tex]r = 5.99696 \: km[/tex]
[tex]r =6 \: km[/tex]
what is the inverse of F(C) = 9 5 C + 32 is
basically f(c) is like y and 95c is like 95x. to find the inverse function you basically just reverse x and y and then solve for y again.
y=95x+32
x=95y+32
x-32=95y
(x/95)-(32/95)=y
John owns a clothing store
Answer:
I think John does not own a clothing store
What is the measure of the angle?
Answer: 50 degrees
Step-by-step explanation:
In an RPG game, each player can choose among 5 basic classes: Mage, Warrior, Archers, Priests, Monks. Each basic class can advance to 4 sub-classes. If each character can have two sub-classes at the same time, how many different combinations are there?
Answer:
In RPGs a Character Class is a designation that determines a player's abilities and fighting style (and depending on the game possibly even their origin, education, and home area) often in the form of a job or archetype. A character class is defined by the abilities that it lends to a character — as such, two different characters with the same class are theoretically interchangeable, in that they have the same "power set" and can play the same role in gameplay because of their similar abilities. However, character class systems can come with varying levels of customization — ranging from characters of a given class being literally identical to having so much variety that character class is no longer even a good indicator of that character's abilities. While most common in fantasy Role-Playing Games, they have recently began to appear in other genres, such as trading card games and MOBAs.
Step-by-step explanation:
Determine whether [3x + 12 + x] is equivalent to [4(3 + x)]. Use properties of operations to justify your answer.
Answer:
3x + 12 + x = 4x + 12 becuase 3x and x are like terms so you can add them
4(3 + x) = 12 + 4x because 4 times 3 is 12 and 4 times x is 4x so you add them to get 12 + 4x which can be rearranged to equal 4x + 12
So in short: 3x + 12 +x is equivalent to 4(3+x)
what is the sum of 10000+101010
Answer:
10000+101010 = 111010
[tex] \orange{ \boxed{ \sf{111010}}}[/tex]
Answer:
10000+101010 = 111010
Step-by-step explanation:
10000+101010 = 111010
what is the median for 55, 75, 45, 80, 50, 70, 45, 85, 60, 70
Answer:
it’s 60
Step-by-step explanation:
what you do is take the two middle numbers 50 and 70 add them both up get 120 then divide by 2 and get 60