Solve the following quadratic equation by factoring.
f (x) = -x^2-11x – 28

Answer:

x(less than or equal to)5

Step-by-step explanation:

add 10 to both sides

20x-10(less than or equal to) 90

       +10                                  +10

20x (less than or equal to) 100

divide by 20 to isolate the variable

20x(less than or equal to) 100

/20                                       /20

x (less than or equal to) 5

Answer:

θ = 36.86°

Step-by-step explanation:

Given that,

The shadow of a 60 foot pole is a 100 feet long.

We need to find the angle of elevation from the end of the shadow to the top of the pole.

Height, h = 60 foot

Hypotenuse, H = 100 feet

Using trigonometry to find it.

[tex]\sin\theta=\dfrac{\text{Height}}{\text{Hypotenuse}}\\\\\sin\theta=\dfrac{60}{100}\\\\\theta=\sin^{-1}(\dfrac{60}{100})\\\\\theta=36.86^{\circ}[/tex]

So, the angle of elevation is 36.86 degrees.

Answer:

The x intercept is -1 and the y intercept is 2.

Step-by-step explanation:

The intercepts are the points where the line crosses an axis. The line crosses the x axis at the point (-1,0) with the x value being -1. The line crosses the y axis at the point (0,2) with the y value being 2.

Answer:

16.65 cups

Step-by-step explanation:

Step one:

height =12 cm, and

the base has a radius =5.5 cm

Volume of the cup = πr^2h

substitute we have

volume= 3.142*5.5^2*12

volume= 3.142*30.25*12

volume=1140.546cm^3

Step two:

volume of cooler=  18,997 cm^3

hence the number of cups to fill it is

=18,997/1140.546

=16.65 cups

Answer:

In all you have 800 students.

The ratio of girls to boys is 300:500

500 x 300 = 150000

Step-by-step explanation:

Hope this helps?

Answer:

6 servings

Step-by-step explanation:

1,25x6=7.5

The number of servings can you make deep-fried chicken will be 6.

Inequality is defined as an equation that does not contain an equal sign.

You have 8 cups of milk.

You need 1.25 cups to make one serving of deep-fried chicken.

Let x be the number of the deep-fried chicken.

Then the inequality will be

1.25x ≤ 8

On solving, we have

x ≤ 6.4

Then the number of servings can you make deep-fried chicken will be 6.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

Answer:

⬇

Step-by-step explanation:

2 :

B has the largest value

A has the smallest

A is closer to 0

3:

Largest value is A

Smallest is B

A is closer

4:

B has the largest value

A is smallest

B is closer to 0

I really hope this helps!

Answer:

A would be your answer if I'm not mistaken

Answer:

he earns 69 dollars

Step-by-step explanation:

1st grade question now give brainliest 5 stars and heart

Answer:

Step-by-step explanation:

Part A.  

6x-2=68

  +2       +2

6x=70

/6      /6

x=11.66

x≈12

Part B.

6x-2+8x=68

14x-2=68

   +2  +2

14x=70

/14      /14

70/14=5

x=5

I hope this helps:

Answer:

Resposta:

x = 1

Explication

10x – 9 = x *

10x - x = + 9

9x = 9

x = 9 / 9

x = 1

S= { 1 }

Answer:

x< -9

Step-by-step explanation:

-5x>10+20+15

-5x>45

-5x/-5<45/-5

x<-9

Answer:

(3,0) is the answer.

Step-by-step explanation:

for first inequality,

3 + 7×0 ≤ 14

or, 3 ≤ 14

for second inequality,

3 - 2×0 ≤ 10

or, 3 ≤ 10

As you can see (3,0) satisfies both equations. so (3,0) is the answer.

If Angle A is 71°, E is 355°.

Answer:

Angle E: 289

Step-by-step explanation:

If there are only 2 angles, and they would add up to be 360, then it is 289.

Just subtract 360-71 to get 289

Answer:

The answer is 64

Step-by-step explanation:

34 + 6(5)

34 + 30 = 64

Answer:

2(c+1)

=

2c+2

Step-by-step explanation:

Answer:

4) 8:1

Step-by-step explanation:

well on the first perfect point there are 8 cups of raspberry juice and 1 cup of lemon-lime soda and it is comparing them in that order so since 1 is the unit it would be 8:1

Answer:

c is correct answer is yes then please

Hi...

Co's 15=x/33...

Cos 15=0.96...

X=31.68

Answer:

The answer to the question provided is 37.5.

Answer:

a) 0.8708 = 87.08% probability that x is less than 60

b) 0.9641 = 96.41% probability that x is greater than 16.

c) 0.8349 = 83.49% probability that x is between 16 and 60

d) 0.1292 = 12.92% probability that x is more than 60.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 43, \sigma = 15[/tex]

a. x is less than 60

This is the pvalue of Z when X = 60. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{60 - 43}{15}[/tex]

[tex]Z = 1.13[/tex]

[tex]Z = 1.13[/tex] has a pvalue of 0.8708

0.8708 = 87.08% probability that x is less than 60

b. x is greater than 16

This is 1 subtracted by the pvalue of Z when X = 16. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16 - 43}{15}[/tex]

[tex]Z = -1.8[/tex]

[tex]Z = -1.8[/tex] has a pvalue of 0.0359

1 - 0.0359 = 0.9641

0.9641 = 96.41% probability that x is greater than 16.

c. x is between 16 and 60

This is the pvalue of Z when X = 60 subtracted by the pvalue of Z when X = 16. We found those in a and b, si:

0.8708 - 0.0359 = 0.8349

0.8349 = 83.49% probability that x is between 16 and 60

d. x is more than 60

This is 1 subtracted by the pvalue of Z when X = 60.

So

1 - 0.8708 = 0.1292

0.1292 = 12.92% probability that x is more than 60.

Answer:

Sedan: 4 passengers

Minivan: 6 passengers

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}2s+1m=14 \\2s+2m=20\end{cases}[/tex], where [tex]s[/tex] represents the number of people a sedan can seat and [tex]m[/tex] represents the number of people a minivan can seat.

Subtracting the first equation from the second, we have:

[tex]2s+2m-(2s+1m)=20-14,\\\\m=6[/tex]

Now plug in [tex]m=6[/tex] in any of the equations to solve for [tex]s[/tex]:

[tex]2s+1(6)=14, \\2s=8, \\s=4[/tex]

Verify that the solution pair [tex](4, 6)[/tex] works:

[tex]2(4)+1(6)=14\: \checkmark \\2(4)+2(6)=20 \: \checkmark[/tex]

Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.

Answer:

18 boys

Step-by-step explanation:

24 divided by 4 gives you 6 girls so multiply the amount of boys (3) and you will get how many boys are in her class.

Answer:

Step-by-step explanation:

The ratio is:

24 girls in the , then number of boys is:

Answer:

y = 5

Step-by-step explanation:

The diagonals of the isosceles EFGH are equal. Therefore:

EG = FH

EG = 3y + 19

FH = 11y - 21

Thus:

3y + 19 = 11y - 21

Collect like terms

3y - 11y = -19 - 21

-8y = -40

Divide both sides by -8

y = 5

Answer:

hmmmmm

Step-by-step explanation:

Answer:

∠3 = 108

Step-by-step explanation:

∠1 + ∠2=180 because a straight line is 180°

∠1=5x+10  and  ∠2=9x+2

5x+10  +  9x+2 = 14x+12

14x+12=180

180-12=168

168/14=12

x=12

∠2 = 9x+2 = 110

180-110 = 70

∠4 = 70

∠4 + ∠3 + ∠5 = 180

∠5 = 90 -5x = 30

i messed up the process here lol but the answer is for sure right

Answer:

Read this section of the text:

These raptors eat primarily flying insects, so they do most of their hunting on the wing.

What does primarily mean in this sentence?

Step-by-step explanation:

Answer:

g(3) = 0

Step-by-step explanation:

You know g(x) = 3x - 9. So, to find g(3), you have to replace x by 3 on the other side.

g(3) = 3(3) - 9

You can solve this.

g(3) = 9 - 9

g(3) = 0

Answer:

0

Step-by-step explanation: