Answer: Choice B
Discriminant = -4; no real solutions
===========================================================
Explanation:
The given quadratic is x^2-4x+5, which is the same as 1x^2-4x+5
We see that
a = 1
b = -4
c = 5
The discriminant is
d = b^2 - 4ac
d = (-4)^2 - 4(1)(5)
d = 16 - 20
d = -4
The discriminant is -4. The negative discriminant means that we have no real solutions. Instead, the two solutions are nonreal complex values in the form [tex]a+bi[/tex] where [tex]i = \sqrt{-1}[/tex]
Answer:
The discriminant is -4, so the equation has no real solutions.
Step-by-step explanation:
The discriminant of the quadratic polynomial [tex]ax^2 + bx + c[/tex] with [tex]a\not= 0[/tex] is:
[tex]\Delta = b^2 -4ac[/tex]
So our variables are:
[tex]a = 1[/tex]
[tex]b = -4[/tex]
[tex]c = 5[/tex]
Replacing in the formula for find the discriminant we have:
[tex]4^2 - 4(1)(5) = 16 -20 = -4[/tex]
Now if you remember the quadratic formula is the next
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
The discriminant appear inside a square root that's meaning that is impossible have negative values inside an even root (in the real numbers).
If we try to find the square root of negative 4 that's meaning find a number that multiply by itself give me -4.
[tex]2 \cdot 2 = 4\\-2 \cdot -2 = 4[/tex]
How you can see is impossible get the solution of a negative base (the base is the number inside the root) when is an even root. In a general case this would be of the next form:
[tex]\sqrt[2n]{-a} = \text{not found}[/tex]
For this we can assure that doesn't exist solutions in the real numbers, so the equation has no real solutions.
b) Given that tan e = 3/4, calculate
i) the length of QR
ii) the value of cos 0
6cm
P
Q
R
Answer:
0+_+0
Step-by-step explanation:PLEASE HELP AD EXPLAIN WELL!
Answer:
y intercept is (0, -4)
equation is y = x - 4
Step-by-step explanation:
The slope is rise/run which you can find by choosing "any" two points on the line. For instance (0,-4) and (4,0)
The rise is the difference in y direction: 0 - - 4 = 4, the graph "rises" by 4.
The run is the difference in x direction: 4 - 0 = 4, the graph "runs" by 4.
So the slope is 4/4 = 1.
The y intercept is the point on the y axis where the line passes through. This is (0,-4). The intercept value is y= - 4.
The equation is slope times x plus y intercept value.
So putting this all together gives you an equation of
y = 1·x + -4
a.k.a.
y = x-4
candy comes in large bags of 75 candies, a 1 pound bag, and a large bags with multiple fun-size packs. Jenny randomly opened 12 of the fun-size packs of candies from a bag. The colors she found in each pack are shown in the table.
How does the mean number of reds found in the samples compare to the mean number of purples? Is Jenny more likely to get more of one particular color if she opened 12 more packs of candies.
Answer:
the mean of the red is 1.75, while the mean of the purple is 2.25
Step-by-step explanation:
LMK if this helps!
hope it does!
The mean number of red (1.75) is 0.5 less than the mean number of purple.
What is Mean?Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.
Candy comes in large bags of 75 candies, a 1 pound bag, and large bags with multiple fun-size packs.
Jenny randomly opened 12 of the fun-size packs of candies from a bag.
The mean number of reds will be
[tex]\rm Mean_{r} = \dfrac{2+1+4+2+1+2+1+0+1+3+3+1}{12}\\\\Mean_{r} = \dfrac{21}{12}\\\\Mean_{r} = 1.75[/tex]
The mean number of purples will be
[tex]\rm Mean_p = \dfrac{2+2+1+3+5+2+2+2+4+2+2+0}{12}\\Mean_p = \dfrac{27}{12}\\\\Mean_p =2.25[/tex]
The mean number of red (1.75) is 0.5 less than the mean number of purple.
More about the mean link is given below.
https://brainly.com/question/521501
What is an equation of the line that passes through the points (-6, -4)
and (-4, 0)?
Answer:
y=2x+8
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the points (-6, -4) and (-4, 0).
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptPoint-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negativeLet's write the equation in slope-intercept form, which is the most common way to do it.
We'll need to start by finding the slope of the line
The formula for the slope calculated from two points is [tex]\frac{y_2- y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
Even though we are already given two points, let's label their values in order to avoid any confusion and mistakes for later:
[tex]x_1=-6\\y_1=-4\\x_2=-4\\y_2=0[/tex]
Substitute these equations into the formula to find the slope (m):
m=[tex]\frac{y_2- y_1}{x_2-x_1}[/tex]
Substitute (remember: we have NEGATIVE numbers and SUBTRACTION, so we'll end up subtracting a negative):
m=[tex]\frac{0- -4}{-4--6}[/tex]
Simplify
m=[tex]\frac{0+4}{-4+6}[/tex]
Add the numbers together
m=[tex]\frac{4}{2}[/tex]
Divide
m=2
The slope of the line is 2
We can immediately plug it into the formula for slope-intercept form as m:
y=2x+b
Now we need to find b
As the equation passes through both (-6, -4) and (-4, 0), we can use either one of them to solve for b
Taking (-4, 0) for example:
Substitute -4 as x and 0 as y:
0=2(-4)+b
Multiply
0=-8+b
Add 8 to both sides
8=b
Substitute 8 as b into the equation
y=2x+8
Hope this helps!
The vertices of a triangle are A (-2, 3), B (5, 10), and C (12-4). Find the coordinates of the intersection of the medians.
The intesection of the 2 medians is at __
Answer:
a number
Step-by-step explanation:
not a letter
Tom knew that he needed to have at least
$60 to buy a bus ticket. He had $150 in his
bank account and each month he paid his
phone bill. If his phone bill is $30 a month,
how many months can he pay his phone bill
and still have enough for his bus ticket?
PLEASE HELP ME WILL MARK BRAINLIEST THIS IS DUE IN A HOUR
Answer:
There is no Question or no images...
Step-by-step explanation:
2/7 convert it into percentage
friends i only need solution i know the answer the one who answer i will mark them as brainleast
Answer:
22.22%
Step-by-step explanation:
2/7 = 0.22222...
Convert to a percent - move decimal over by 2
22.22
Answer:
≈ 28.57%
Step-by-step explanation:
To change a fraction to a percentage, multiply the fraction by 100% , that is
[tex]\frac{2}{7}[/tex] × 100%
= [tex]\frac{2(100)}{7}[/tex]
= [tex]\frac{200}{7}[/tex]
≈ 28.57% ( to 2 dec. places )
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
it's rise/run 3/2
Step-by-step explanation:
you rise positive 3 and run 2
Pls help me solve this
Answer:
F. Yes, by the SAS Congruence Theorem
Explanation:
In △ABC and △EDC:
BC = CD (given)AC = CE (given)∠ACB = ∠ECD (vertically opposite angles)Hence, by the SAS Congruence Theorem, which states two triangles, with two sides and one angle equal, as congruent.
△ABC ≅ △EDC
∠A and ∠B are complementary. m∠A=29°. find m∠B.
Answer:
55 degrees
Step-by-step explanation:
Add the expressions up and set up an equation.
( 2 x − 29 ) + ( x + 23 ) = 90 Simplify and solve for x.
3 x − 6 = 90 3 x = 96 x = 32 Find angle B.
x + 23 = 32 + 23 = 55
Hope this helps, have a nice day/night! :D
Answer:
m∠B = 61°
Step-by-step explanation:
Complementary means two angles that add up to the sum of 90°.
Since we are given m∠A = 29°, subtract 29° from 90°.
90 - 29 = 61
m∠B = 61°
Could someone help me figure this out?
Answer:
The area of a rectangle is the length multiplied by its breadth.
Since the length is [tex]3(n-1)[/tex] and the breadth is [tex]n+2[/tex] and the area is 54, you can form an equation as followed:
[tex]3(n-1)*n+2=54[/tex]
[tex]3n(n-1)+2=54[/tex]
Expand:
[tex](3n*n)-(3n*1)+2=54[/tex]
[tex]3n^2-3n+2=54[/tex]
Subtract both sides by 54:
[tex]3n^2-3n+2-54=54-54[/tex]
[tex]3n^2-3n-52=0[/tex]
Write the given equation of a line that passes through the given point (-2,-1) and (0,-5)
Step-by-step explanation:
2x+y+5=0 is the required equation of the line
SOMEONE PLEASE BE FAST!!! Which pair of fractions and mixed numbers have a common denominator of 42?
Three and two-thirds and Five-sevenths
Two and one-sixth and Three-fourths
Five and three-fourteenths and One-fifth
One and four-sevenths and Five-eighths
Answer:
It's the first one. Why?
I converted all the mixed fraction into simplified form.
3 [tex]\frac{1}{3}[/tex] to [tex]\frac{11}{3}[/tex] + [tex]\frac{5}{7}[/tex]
I divided the denominator of 11/3 by 42. 42/3=14
and 5/7. 42/7, which is 6.
So I concluded the first answer was right because it didn't work out for the other variables.
I hope the answer was right, and I hope you have a great day luv. Bye!
Find the perimeter. Simplify your answer.
The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average daily maximum temperature is:
____ °C higher than the average daily minimum temperature.
Answer:
26.55°C
Step-by-step explanation:
21.85 - - 4.7
21.85 + 4.7
26.55
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Which set of ordered pairs does not represent a function?
O {(-7, -8), (-7,5), (-6,0),(-1,8)}
O {(-2,4), (6,-5), (-6, -9), (1, -5)}
{(8, -2), (3,9), (-1, -5), (-3,9)}
{(9,7), (2,7), (-8, -3), (-1,1)}
Answer:(-7, -8), (-7,5), (-6,0),(-1,8)
Step-by-step explanation:
Functions are relations with one output (y) for any unique input (x).
The first set has two values of y when x = -7: -8 and 5.
The other sets have unique values for each x.
help me help me help me help me helpppppp me
Answer:
yes,
She has enough..She needs of 6 ounces+16/4=4 tantamount of 10 ounces, She would have extra one ounce.
Step-by-step explanation:
Decide which of the following numbers does not belong in the group.
108
502
603
360
And why does it not belong?
Answer:
603 because it’s odd
360 because it doesn’t have a 0 in the tens place
502 because the sum of the digits doesn’t equal 9
I need the answer FAST
Answer:
x = -9, 4
Step-by-step explanation:
The sides are marked congruent, so you have ...
x^2 +5x = 36
Subtracting 36 puts this in standard form:
x^2 +5x -36 = 0
To factor this, you need to find factors of -36 that have a sum of 5.
-36 = (-1)(36) = (-2)(18) = (-3)(12) = (-4)(9) = (-6)(6)
The sums of these factor pairs are 35, 16, 9, 5, 0.
The pair with a sum of 5 is (-4)(9), so the factorization of the quadratic is ...
(x -4)(x +9) = 0
The solutions are the values of x that make the factors zero:
x = 4, x = -9
Both of these solutions work in this problem.
The graph of a function is shown:
Answer: a) {-3, -1, 3, 4}
Step-by-step explanation:
f(x) is the output, and x is the input.
Hope it helps :) and let me know if you want me to elaborate.
30 POINTS:
Function f satisfies f(0) = 2 and f ′(0) = −2. Use this information to compute f^−1′(2).
Answer:
-1/2
Step-by-step explanation:
The relevant relationship is ...
f^-1'(x) = 1/f'(f^-1(x))
f^-1'(2) = 1/f'(f^-1(2)) = 1/f'(0) = 1/-2
f^-1'(2) = -1/2
_____
The attached graph shows the tangent lines at the relevant points. The red line is the tangent to f(0); the blue line is the tangent to f^-1(2).
The inverse function is the function reflected across the line y=x. So, too, for the tangent lines to the function. Each is a reflection of the other across the line y=x. For the purpose here, the tangent line is a suitable representation of the function at the point(s) of interest.
Sundas is making homemade greeting cards. The data table below represents the amount she spends in dollars, f(x), in terms of the number of cards she makes, х T(x) 4 7.50 6 9 9 11.25 10 12
Brainliest please if correct
the function that best represents the data is y = 0.75x + 4.5. The slope in this case represents the increase in the amount she spends in $ due to the number of cards she makes. The intercept with the Y axis (4.5) means that she has an expense of 4.5 $ without having made any card yet.
What is r(-4)=(-4+1)(-4-3)? It’s apart of evaluating functions.
Answer:
21
Step-by-step explanation:
r=-5.25 btw
A cupcake recipe needs 4/5 cups of batter per serving.you have 5 cups.How many servings can be made
Answer:
You can make 6 servings
Step-by-step explanation:
Chelsea borrowed P10,00 for 18 months at a rate of 10%.How much is the total amount due?
Answer:
11,536.89733 (rounded to 11,536.90)
Step-by-step explanation:
10,000(1+0.1)^1.5
P(1+r)^t
P=Principal
r=rate
t=time(in years)
What’s the slope or fraction?
Please help I’ll mark u as brilliant
Answer:
-2,3
Step-by-step explanation:
So that is the highest point marked on the graph.
HELP PLSSSSS TY
Health Club Fees You are choosing between two health clubs. Club A offers membership for a fee of $14 plus a monthly fee of $29. Club B offers membership for a fee of $28 plus a monthly fee of $22. After how many months will the total cost of each health club be the same?
Answer:
2 months
Step-by-step explanation:
To solve this equation create an expression for the cost of each club. Use the slope-intercept form of y=mx+b where m is the monthly fee and b is the flat fee. So the 2 expressions would be A) 29x+14 and B) 22x+28. Since we want to find when these are equal, set the expressions equal to each other. This gives the equation 29x+14=22x+28. Then, solve for x.
29x+14=22x+287x+14=287x=14x=2When solved, x=2. This means that after 2 months the cost of each will be the same.
Will give brainly if correct
Hi,
1 mile ≈ 1,6 kilometers
a.
11,9 miles ≈ 11,9 * 1,6 = 19,04 kilometers
b.
46,2 miles ≈ 46,2 * 1,6 = 73,92 kilometers
c.
121 miles ≈ 121 * 1,6 = 193,6 kilometers.
→ * = multiplication
✅(. ❛ ᴗ ❛.)