Mr. Walker gave his class the function f(x) = (x + 3)(x + 5). Four students made a claim about the function. Each student’s claim is below.

Jeremiah: The y-intercept is at (15, 0).
Lindsay: The x-intercepts are at (–3, 0) and (5, 0).
Stephen: The vertex is at (–4, –1).
Alexis: The midpoint between the x-intercepts is at (4, 0).


Which student’s claim about the function is correct?

Answer:

C. [tex]F(x) = -x^2 - 3[/tex]

Step-by-step explanation:

The function, F(x), has flipped over the x-axis (as seen) meaning that the function has to have a negative sign in front. The function has also shifted downwards 3 units, meaning that 3 has to have been subtracted from the function.

This makes "C," the correct answer, as it fulfills these requirements.

Answer:

  9

Step-by-step explanation:

After 81 passengers get off, only 9 passengers remain on the train of the original 90.

The correct pairs of angles in the figure which are vertical angles is,

⇒ ∠AKC and ∠TKI

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

To find correct pairs of angles in the figure which are vertical angles.

Now, By definition of vertical opposite angle,

We get;

The correct pairs of angles in the figure which are vertical angles is,

⇒ ∠AKC and ∠TKI

Thus, The correct pairs of angles in the figure which are vertical angles is,

⇒ ∠AKC and ∠TKI

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ7

Answer:

question 7 is 9

question 8 is 11

Step-by-step explanation:

7) the square root of 81 is 9

8) the square root of 25 is 5 and the square root of 36 is 6

5+6=11

Answer:

7) 9

8) 11

Step-by-step explanation:

√81=9

√25=5           √36=6

5+6=11

Answer:

A

Step-by-step explanation:

Answer:

75−4(4−2)^3

=43

Answer:

60

Step-by-step explanation:

since its a square, and has four sides then you would divide total length by four to find the length of each side

Answer:

FIRST option is the correct answer

Step-by-step explanation:

First option is the correct answer.

[tex] (x+11)^2 + (y+ 6)^2 = 324\\

(x+11)^2 + (y+ 6)^2 = 18^2 \\[/tex]

Equating it with:

[tex] (x-h)^2 + (y-k)^2 = r^2 \\

- h = 11\implies h = - 11\\

- k= 6\implies k = - 6\\

Center = (-h, \: - k) = (11,\: 6)\\

r^2 = 18^2 \\

Radius= 18\: units [/tex]

Answer:

Step-by-step explanation:

Givens

We know that the area of a square is

[tex]A=s^{2}[/tex]

Where [tex]s=12 \ ft[/tex], according to the problem.

Replacing this value, we have

[tex]A=(12 \ ft)^{2} =144 \ ft^{2}[/tex]

Therefore, the area of the square roof is 144 square feet.

Answer: the area of the roof is 144 feet squared for each side (up and down), adding to a total of 288 ft^2

Step-by-step explanation:

If the roof is a square with a side lenght L =  12 feet, then we use the fact that the area of a square is equal to the square of the side lenght of the square, this is:

A = L^2  = (12 ft)^2 = 144 ft^2

Now, Mr. wilson uses the equation A = s, this is because the roof has 2 surfaces, one up and one bottom, then the total area is 2 times the value that we find earlier:

2*144 ft^2 = 288 ft^2

Answer:

[tex]x^{2} + y^{2} - 10\cdot y = 0[/tex]

Step-by-step explanation:

The following expressions are used to transform from polar into rectangular form:

[tex]r = \sqrt{x^{2}+y^{2}}[/tex]

[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex]

Now, the variables are substituted and equation is finally simplified:

[tex]\sqrt{x^{2}+y^{2}} = 10\cdot \frac{y}{\sqrt{x^{2}+y^{2}} }[/tex]

[tex]x^{2}+y^{2} = 10\cdot y[/tex]

The equivalent equation in rectangular coordinates is:

[tex]x^{2} + y^{2} - 10\cdot y = 0[/tex]

Answer:

Is A I think

Step-by-step explanation:

I hope this was helpful I did it on my book :)

Answer:

b) 14°

Step-by-step explanation:

To solve this, you need to make an equation. since a line is equal to 180°, you can add the two angles together. for example, x+96+5x=180. you would write this because these two angles are on a line, which makes the total sum 180°. now you solve: 6x+96=180. 6x=84. x=14°. :)

Answer:

14

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

13*4=52

Answer:

We would advise her to choose Country Route because in this route time consistent between 15 and 18 minutes.

Step-by-step explanation:

We are given that Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can take to the school, one through the city and one through the countryside.

Jean sets up a randomized experiment where each day she tosses a coin to decide which route to take that day. She records the following data for 5 days of travel on each route.

Country Route - 17, 15, 17, 16, 18  (in minutes)

City Route - 18, 13, 20, 10, 16 (in minutes)

Now, we have to decide which route is better for Jean to go to college.

As we can see from the data that the Country route timings is consistent between 15 to 18 minutes which means most of the times she will reach college between these minutes only.

While on the other hand, we can observe that City route timings are very much consistent as it has a low value of 10 minutes and high value of 20 minutes which means Jean can't be sure that at which time she will reach college.

Hence, we would advise her to choose Country route.

Answer:

250 hours

Step-by-step explanation:

The first charge is 10 hours, the second charge is 10(0.96) hours, and so on -- the total of these two is 10+10(0.96)  and we need to keep adding our battery usage up until there is no more battery. The third one is 10(0.96)*(0.96), or 10(0.96)².

This can be seen as a geometric series, with 10 as the first tern, or a, and 0.96 as the common ratio, or r. The sum of this is

[tex]a\frac{1-r^{n}}{1-r}[/tex], with n being the number of terms. Since 0.96 to the power of n never actually reaches 0 no matter how high n goes if the number is not infinite, we can say n is infinity. As r^n is really close to 0 when n equals infinity (so close that, for our purposes in this equation, we can just assume it's 0), our equation is then

[tex]10\frac{1}{0.04} =10*25=250[/tex]

Answer:

I think is C

Step-by-step explanation:

Answer:

X=-2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1/2(6x-10)=2x-7

(1/2)(6x)+(1/2)(-10)=2x+-7(Distribute)

3x+-5=2x+-7

3x-5=2x-7

Step 2: Subtract 2x from both sides.

3x-5-2x=2x-7-2x

X-5=-7

Step 3: Add 5 to both sides.

X-5+5=-7+5

X=-2

Hope this helps

Answer:

hty

Step-by-step explanation:

Answer:

a triangle

Step-by-step explanation:

if you cut the shape in half, it would be a triangle but at an angle.

hope this helps!

Answer:

The radius of the circle with 4 inch diameter is 2 inches

Step-by-step explanation:

This is the formula here:

d = 2r

The radius is solved here:

r = [tex]\frac{d}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2 inches

Answer:

10 (positive 10)

Step-by-step explanation:

5 times -2 is equal to -10.

-10 times -1 is equal to 10.

Answer:

postive 10

Step-by-step explanation:

345 cm

this is because cm is the abbreviation of centimeters.

Answer: c, -3.2 + 1.5n less-than-or-equal-to 8.6

Step-by-step explanation:

I got it right on the quiz

Answer:

the answer is c

Step-by-step explanation:

just did the assignment got 100%

Answer:

Step-by-step explanation:

because , they determined as slope !

hope it helpful !

mark as brainliest

Answer:

B

Step-by-step explanation:

The lines have equal slopes

-6/3= -2

And

-8/4 = -2 so both slopes are equal hence the lines are parallel

Answer:

B and D

Step-by-step explanation:

10x^2 -vx [ has the highest power of X as 2 , so it is to degree 2].

6x^2 - 6x + 5[ has the highest power of x as 2; hence it is to degree 2]

Answer: 85%

Step-by-step explanation:

You can use proportions to solve this answer.

17/20=x/100

Solve for X

17(100)/20=x

85=x

Answer:

15% incorrect

Step-by-step explanation:

17/20 = x/100

17 ×5= 85

20×5 = 100

85/100 correct

15/100 incorrect

Answer:

4

Step-by-step explanation:

20x.2 or 20x(1/5)

Answer:

4

Step-by-step explanation:

Answer:

87.5%

Step-by-step explanation:

First we find the number of students that did wear green which is 120-15=105. Then we need to find what percentage of these students who did wear green so we divide 105 by 120 which is .875. To find this number in percent form, we multiply this number by 100 which gives us 87.5%.

Answer:

87.5%

Step-by-step explanation:

Hope this helps have a wonderful day

Answer:

(-2,-2) and (3,4)

Step-by-step explanation:

Edge 2020

Answer:

the other person is right -2, -2 and 3, 4

Step-by-step explanation:

I had to do this

Answer:

cos x = 5

Step-by-step explanation:

[tex] = > sinx.cotx = 5 \\ \\ = > \cancel{sinx}. \frac{cosx}{ \cancel{sinx}} = 5 \\ \\ = > cosx = 5[/tex]

Answer:

a)  The yield for the circular area is the triple of the original yield so it is 1,050 bushels.

Average yield for the square plot= 899 bushels.

b) The ratio of irrigated area to the total area of the square plot is the same if we put the sprinkler in the center (with half side as the ratio) or in the corner (with ratio of the side of the square).

Step-by-step explanation:

The arm of the sprinkler goes half the length of the square plot, so the area irrigated is the circumscribed circle. See the picture attached (irrigated area).

The yield will triple in the irrigated area and the same as before in the non-irrigated area. The irrigated area is the area of the circle with radius equal to half the side of the square.

[tex]Y_c=3Y_0=3\cdot350=1,050[/tex]

The non-irrigated area is the area of the square less the area of the circle.

We can calculate the yield as:

[tex]Y=\dfrac{(3Y_o)\cdot A_c}{A_s}+\dfrac{Y_0(A_s-A_c)}{A_s}[/tex]

where Y0: original yield (350 bushels), Ac: area of the circle, and As: area of the square.

The ratio between the area of the circle and the area of the square is:

[tex]\dfrac{A_c}{A_s}=\dfrac{\pi r^2}{l^2}\\\\\\r=l/2\\\\\\\dfrac{A_c}{A_s}=\dfrac{\pi (l/2)^2}{l^2}=\dfrac{\pi l^2}{4l^2}=\dfrac{\pi}{4}\approx0.78[/tex]

We can now solve for the yield:

[tex]Y=\dfrac{(3Y_o)\cdot A_c}{A_s}+\dfrac{Y_0(A_s-A_c)}{A_s}\\\\\\Y=3Y_0\dfrac{\pi}{4}+Y_0(1-\dfrac{\pi}{4})=Y_0\left(\dfrac{3\pi}{4}+1-\dfrac{\pi}{4}\right)=Y_0\left(\dfrac{\pi}{2}+1\right)\\\\\\Y\approx2.57Y_0=2.57\cdot350=899.5[/tex]

b) If the arm is located in one corner of the square and the arm has a length of the side of the square, we have an irrigated area that is a quarter of a circle with radius l.

We can calculate the proportion of irrigated area in the square plot, and if it is bigger than the proportion of irrigated area when we have the sprinkler in the center (proportion of 0.78 of irrigated area), then it is better to put the sprinkler in the corner.

The ratio of the irrigated area to the total area is:

[tex]\dfrac{Aq}{A_s}=\dfrac{\pi r^2/4}{l^2}\\\\\\r=l\\\\\dfrac{Aq}{A_s}=\dfrac{\pi l^2/4}{l^2}=\dfrac{\pi}{4}\approx 0.78[/tex]

The ratio of irrigated area to the total area of the square plot is the same if we put the sprinkler in the center (with half side as the ratio) or in the corner (with ratio of the side of the square).