Two math classes took the same quiz. The scores of 10 randomly selected students from each class are listed below.

Which function has zeros at x = -2 and x = 5?

riadik2000 [5.3K]

Answer:

<em>f(x)=x²-3x-10</em>

Step-by-step explanation:

\begin{gathered}f(x) = x {}^{2} - 3x - 10 \\ to \: find \: x \: intercept \:o r \: zero \: substitute \: f(x) = 0\: \\ 0 = x {}^{2} - 3x - 10 \\ x {}^{2} - 3x - 10 = 0 \\ x {}^{2} + 2x - 5x - 10 = 0 \\ x(x + 2) - 5x - 10 = 0 \\ x(x + 2) - 5(x + 2) = 0 \\ (x + 2).(x - 5) = 0 \\ x + 2 = 0 \\ x - 5 = 0 \\ x = - 2 \\ x = 5\end{gathered}

f(x)=x

2

−3x−10

tofindxinterceptorzerosubstitutef(x)=0

0=x

2

−3x−10

x

2

−3x−10=0

x

2

+2x−5x−10=0

x(x+2)−5x−10=0

x(x+2)−5(x+2)=0

(x+2).(x−5)=0

x+2=0

x−5=0

x=−2

x=5

therefore the zeros of the equation are x₁=-2,x₂=5

3 0

1 year ago

Dec 4,

sasho [114]

Answer:

y = -0.8x - 5

Step-by-step explanation:

x1 = (XA + XB) / 2 = -5

y1 = (YA + YB) / 2 = -1

m = (XA - XB) / (YA - YB) = -0

__________________________________________

(y - -1) = -0.8(x - -5)

y - -1 = -0.8x - 4

y = -0.8x - 4 + -1

y = -0.8x - 5

8 0

2 years ago

Which of the two circles in this figure is larger?<br><br> A Shape and Lines

faltersainse [42]

Answer: Shapes

Step-by-step explanation: Lines is simple and soft, Shapes is sharp and hard

6 0

2 years ago

Anybody need help with some work?

otez555 [7]

Answer:

nope. im done with school :D

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

1. Jackson has 75¢ in dimes, d, and nickels, n, in his pocket. Which equation could be solved to find the possible combinations

SpyIntel [72]

Answer:

Part 1) Option D $75=10d+5n$

Part 2) Option B $(4, -2), (0, -1), (-4, 0)$

Part 3) Option A $50=2LW$

Part 4) Option A Ms. Monti bought $4$ adult tickets and $3$ children’s tickets

Part 5) Option D The kitten weighed $14$ ounces when it was $4$ weeks old

Step-by-step explanation:

Part 1)

we know that

$1\ dime=\$0.10$

$1\ nickel=\$0.05$

Let

d-------> the number of dimes

n-----> the number of nickels

so

$0.10d+0.05n=0.75$

Multiply by $100$ both sides

$10d+5n=75$

Part 2)

we have

$y=(-\frac{1}{4})x-1$

To calculate the solutions of the equation for an x value, substitute the value of x in the equation and find the value of y

For $x=4$ -----> $y=(-\frac{1}{4})(4)-1=-2$ ----> $(4,-2)$

For $x=0$ -----> $y=(-\frac{1}{4})(0)-1=-1$ ----> $(0,-1)$

For $x=-4$ -----> $y=(-\frac{1}{-4})(4)-1=0$ ----> $(-4,0)$

Part 3)

we know that

The perimeter of a rectangle is equal to

$P=2(L+W)$

we have

$P=50\ ft$

substitute

$50=2(L+W)$ ------> $50/2=(L+W)$ -----> $50=2L+2W$

Par 4)

Let

x------> the number of adult tickets

y------> the number of children tickets

we have

$25x + 15y = 145$

The ordered pair $(4,3)$ represent

$x=4\ adult\ tickets$

$y=3\ children\ tickets$

therefore

Ms. Monti bought $4$ adult tickets and $3$ children’s tickets

Part 5)

Let

x------> the number of weeks after it was born

y-----> the kitten’s weight in ounces

we have

$y=2.5x+4$

The ordered pair $(4,14)$ represent

$x=4\ weeks$

$y=14\ ounces$

therefore

The kitten weighed $14$ ounces when it was $4$ weeks old

8 0

2 years ago