Find the value of x.

Answer:

[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]

Step-by-step explanation:

Given

[tex]x_1 = -2[/tex]

[tex]x_2 = 3[/tex]

[tex](x,y) = (-1,2)[/tex] --- a point on the parabola

Required

The equation

First, calculate the equation from the zeros

[tex]y =k(x - x_1)(x - x_2)[/tex]

Substitute [tex]x_1 = -2[/tex] and [tex]x_2 = 3[/tex]

[tex]y =k(x - -2)(x - 3)[/tex]

[tex]y =k(x +2)(x - 3)[/tex]

To solve for k, we substitute [tex](x,y) = (-1,2)[/tex]

[tex]2 = k(-1+2)(-1-3)[/tex]

[tex]2 = k(1)(-4)[/tex]

[tex]2 = -4k[/tex]

Divide by -4

[tex]k=\frac{2}{-4}[/tex]

[tex]k=-\frac{1}{2}[/tex]

So, the equation is:

[tex]y =k(x +2)(x - 3)[/tex]

[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]

Answer: c

Step-by-step explanation:

Answer:

the pursuit can affect your hands

Answer:

B.

Step-by-step explanation:

4x + 4x - 4x = 4x

24x ÷ 2 = 12x

3x • 4x = [tex]12x^2[/tex]

15x - 3 = 15x - 3

Answer:

B. 24x/2

Step-by-step explanation:

12x

A. 4x + 4x - 4x = 8x - 4x = 4x

B. 24x/2  = 24/2 x = 12x

C. (3x)(4x) = 12 x^2

D. 15x - 3​ = 15x -3  ( no like terms

Answer:

[tex]254.5 m^2[/tex]

Step-by-step explanation:

Area of a Circle: [tex]A=\pi r^2[/tex]

The r is the length of the radius of the circle

The radius of the shown circle is 9 m

[tex]A=\pi 9^2[/tex]

[tex]A=81\pi=254.469004941[/tex]

Answer:

254.57 square meters

Step-by-step explanation:

first we need to know the details given in the question . in this question we are given radius of the circle which is eight 9m.

then we need to know the formula for finding the area of the circle.

which is πr^2 ,value of pie is 3.14

3.14*9*9=254.57.

Answer:

26 cm

Step-by-step explanation:

[tex]a^{2} +b^2=c^2[/tex]

[tex]24^2+10^2=c^2[/tex]

576 + 100 = 676

[tex]\sqrt{676}[/tex] = 26 cm

The answer to this is C because one X vslue can not have more than y value. 8 has two y values which means that this is not a function, it should only have one.

Answer:

153.86

Step-by-step explanation:

So first off, what is the formula for finding area of a circle?

Its [tex]\pi r^{2}[/tex]

We know that r(radius), is the distance from one point of the circle to its center.

In this case it is 7.

Note that in other cases, you might see a line going strait through the middle of the circle.

This is the diamater, and is 2x the radius. If you see the diamater, divide it in half, and you will find radius.

Now, back to the problem.

We know our radius is 7, so lets plug that into [tex]\pi r^{2}[/tex]:

[tex]\pi *7^{2}[/tex]

=

[tex]\pi *49[/tex]

=

153.93

So tecnically, this test is wrong. THe actual answer is .07 bigger than what they give.

However, it is the only possible answer, so it is correct.

Answer:

153.86

Hope this helps!

Answer:

15c+70b[tex]\leq[/tex]112000

Step-by-step explanation:

Truck could carry 7000 pounds.

There are 15 ounce cans and 70 ounce bottles.

There are 'c' number of 15 ounce cans and 'b' is the number of 70 ounce bottles.

So, C number of cans can  carry 15C ounces

'b' number of bottles can carry 70b ounces

So, we can set up inequality as

15c+70b[tex]\leq[/tex]112000

Answer: 130

Step-by-step explanation:

The five rounds up making it 130

Answer:

x = 100

It is on a straight line and so, it equals to 180.

180 - 80 = 100

Answer:

No the shop did not meet the 65 mean.

Step-by-step explanation:

The mean is the same thing as the average of the sales. So the first six months sales were 52, 82, 71, 92, 51, and 28. the average of these six numbers is 62.66667 which is short of the 65 mean.

52+82+71+92+51+28=376

take that number 376 and divide by the number of months (6)

376/6=62.66667

Answer:

-7x^2 - x - 10

Step-by-step explanation:

Rewriting a polynomial in standard form most often involves writing the x terms in descending order by power:  x^2, x^1, x^0

Rewrite -x -7x^2 -10 as -7x^2 - x^1 - 10x^0, which is usually simplified to:

                                       -7x^2 - x - 10

This result is in "standard form."

[tex]-7x^2-x-10

[/tex]

Answer:

r

Step-by-step explanation:

Answer:

$52 is the sale price.

Step-by-step explanation:

First find 35% of $80. Multiply .35 x 80 to do this.

.35 x 80 = 28

Then subtract 28 from the original price 80.

80 - 28 = 52

Answer:

D is the correct answer.

Answer:

Probability of an event = 1 / 10

Step-by-step explanation:

Given:

Total number of people in particular area = 1,600

Number of people vaccinated = 160

Find:

Probability[people vaccinated]

Computation;

Probability of an event = Number of favorable outcomes / Total number of outcome

Probability of an event = 160 / 1600

Probability of an event = 16 / 160

Probability of an event = 1 / 10

Answer: [tex]371.8\ \text{Pounds}[/tex]

Step-by-step explanation:

Given

Dimensions of rectangular granite countertop is [tex]72\times 42\times 1.25\ in.^3[/tex]

Density of granite is [tex]\rho=170\ \text{Pounds per cubic ft}[/tex]

Volume of granite countertop

[tex]\Rightarrow V=72\times 42\times 1.25\\\Rightarrow V=3780\ in.^3[/tex]

We know, 1 ft=12 inch

[tex]\therefore V=2.187\ cm^3[/tex]

Weight of granite

[tex]\Rightarrow m=\rho \times V\\\Rightarrow m=170\times 2.1875\\\Rightarrow m=371.8\ \text{Pounds}[/tex]

Answer:

17.7 ft

Step-by-step explanation:

A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.

We solve using the Trigonometric function of sin

sin = Opposite/Hypotenuse

Opposite = Height = ?

Hypotenuse = Length of the ladder = 20 ft

Hence:

sin 62 = h/20 ft

Cross Multiply

h = sin 62 × 20 ft

h = 17.658951857 ft

Approximately = 17.7 ft

Answer:

5 grams/metres squared = 50 kg/hectares

Step-by-step explanation:

We need to convert 5 grams/metres squared to kilograms/hectares.

We know that,

1 kg = 1000 g

1 hectare = 10000 m²

So,

[tex]5\ \dfrac{g}{m^2}=5\times \dfrac{0.001}{\dfrac{1}{10000}}\\\\=50[/tex]

Hence, 5 grams/metres squared = 50 kg/hectares

Answer: 13 degrees

Step-by-step explanation:

1. - 2<0

2. (- 2)-(-15)=(-2)+15=13

Answer:

a3) x= 83

y= 180-71 = 109

a4) x=53

w= 180-53...

y=x=53

z= 180-y

Answer:

jeff has 3 apples left. kyle has 2 apples left. kelsea had 4 apples left.

Step-by-step explanation:

5-2=3

3-1=2

8-4=4

Answer:

jeff 3 apples, kyle 2 apples, kelsea 4 apples

total apples left = 9 apples

total apples eaten = 7 apples

total apples = 16 apples

Step-by-step explanation:

Answer:

x= 80

Step-by-step explanation:

Angle Formed by Two Chords = 1/2(sum of Intercepted Arcs)

50 = 1/2 ( 20+x)

Multiply each side by 2

2*50 = 20+x

100 =20+x

Subtract 20 from each side

80 =x

Answer:

2x²+5x-6 = 0

using the quadratic formula

x = 0.886 and x= -3.386

Given:

Consider the below figure attached with this question.

To find:

The measure of angle 3.

Solution:

According to intersecting secant theorem, if two secants of a circle intersect each other outside the circle, then the angle on the intersection is half of the difference of the intercepted arc.

[tex]\text{Angle on intersection}=\dfrac{1}{2}(\text{Major arc}-\text{Minor arc})[/tex]

Using the intersecting secant theorem, we get

[tex]m\angle 3=\dfrac{1}{2}(m(arcXY)-m(arcWZ))[/tex]

[tex]m\angle 3=\dfrac{1}{2}(85^\circ-25^\circ)[/tex]

[tex]m\angle 3=\dfrac{1}{2}(60^\circ)[/tex]

[tex]m\angle 3=30^\circ[/tex]

Therefore, the measure of angle 3 is 30 degrees.

Answer: 30 degrees

Step-by-step explanation:

need the points

Answer:

6

Step-by-step explanation:

7=42 is 7*6

6=30 is 6*5

5=20 is 5*4; it's multiplied by the number below it, so 3 will be 3*2

3 = 6

Step-by-step explanation:

Given: 7 = 42, 6 = 30, 5 = 20

7 (x 6) = 42

6 (x 5) = 30

5 (x 4) = 20

Follow the pattern

4 (x 3) = 12

3 (x 2) = 6

3 = 6

Answer:

the second one

Step-by-step explanation:

Answer:

20%

Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.