which is the correct graph and solution for the following system of equations y=2x+3 y=-x-6

Answer:

C

Step-by-step explanation:

slope intercept is y=mx+b

The y-intercept is at 2 so b=2.

The slope is rise/run, equaling -3

so y= -3x+2

Answer:

345 calories

Step-by-step explanation:

The easiest way to do this is to find out how many calories there are for 1 ounce. So 230 divided by 4, equals 57.5. So if 57.5 calories are in one ounce, then you just multiply by 6 to get your answer.

57.5 x 6 = 345 calories

Answer:22

Step-by-step explanation:

Answer:

-4,0

Step-by-step explanation:

Answer:

It is a decreasing function for 0 < b < 1.

Step-by-step explanation:

Logarithm function:

The logarithm function is given by:

[tex]F(x) = \log_{b}{(x)}[/tex]

The base b determines if the function increases or decreases.

For 0 < b < 1, the function decreases.

For b > 1, the function increases.

In this question:

By the definition above, it is a decreasing function for 0 < b < 1.

Answer:

B. y = 3x - 14

Answer:

X = 33.3 percent

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Answer:

x=70

Step-by-step explanation:

To solve this problem, you set up the equation 45+(2x-5)=180

Next, subtract 45 from 180 to get the equation 2x-5=135

After that, add 5 to 135 to get 2x=140

Divide 140 by 2 to get X=70

Answer:

6

i think the - was meant to be an = instead of -

Step-by-step explanation:

rate of change is the same as slope

that is slope-intercept form.

y=mx+b

m is slope

slope= 6

Answer:

The rate of change is 6

Step-by-step explanation:

Set the equation equal to 0:

y-6x+3=0

Now solve for y because we want the equation in y=mx+b form where m is the rate

Subtract 3:

y-6x=-3

add 6x

y=6x-3

Now in y=mx+b form

m would equal 6

Answer:hey besties

Step-by-step explanation:

Pew pew

Answer:

12.94

Step-by-step explanation:

5.75x125%=7.19

7.19+5.75=12.94

Ok ill answer the question but do you want me to evaluate it or find it to the simplest form ?

Answer:

Step-by-step explanation:

Answer:

3 1/2 units cubed.

1 3/4 · 1 · 2 = 3 1/2

Answer:

30

Step-by-step explanation:

I think that's the answer but if I'm wrong tell me right away I'll try another method.

Answer:

C

Step-by-step explanation:

Hope this help and have a nice day

Answer:

$3.25 per gallon

Step-by-step explanation:

Answer: he paid 3.25 for each gallon

Step-by-step explanation:

Divide the money (16.25) by the gallon (5) and get 1 gallon for 3.25

Answer:

a. Above 337.8 grams.

b. Between 318.25 grams and 331.75 grams.

c. Above 316.59 grams.

d. Below 312.2 grams

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 325 grams and a standard deviation of 10 grams.

This means that [tex]\mu = 325, \sigma = 10[/tex]

a. Highest 10 percent

This is X when Z has a pvalue of 1 - 0.1 = 0.9, so X when Z = 1.28.

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

[tex]1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 10*1.28[/tex]

[tex]X = 337.8[/tex]

So 337.8 grams.

b. Middle 50 percent

Between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile.

25th percentile:

X when Z has a pvalue of 0.25, so X when Z = -0.675.

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

[tex]-0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.675*10[/tex]

[tex]X = 318.25[/tex]

75th percentile:

X when Z has a pvalue of 0.75, so X when Z = 0.675.

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

[tex]0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 0.675*10[/tex]

[tex]X = 331.75[/tex]

Between 318.25 grams and 331.75 grams.

c. Highest 80 percent

Above the 100 - 80 = 20th percentile, which is X when Z has a pvalue of 0.2. So X when Z = -0.841.

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

[tex]-0.841 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.841*10[/tex]

[tex]X = 316.59[/tex]

Above 316.59 grams.

d. Lowest 10 percent

Below the 10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.

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

[tex]-1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -1.28*10[/tex]

[tex]X = 312.2[/tex]

Below 312.2 grams

Answer:

120

Step-by-step explanation:

number of hours sold = fraction of houses sold this year x number of houses built last year

4/7 x 210 = 120 houses

Answer:

a = 6

Step-by-step explanation:

Given:

[tex]-8 + \sqrt{5a-5} = -3[/tex]

Assuming that the goal is to solve for a, we should aim to isolate a using a backwards process.

First step: add 8 to both sides, resulting in:

[tex]\sqrt{5a-5} = 5[/tex]

Second step: Next we need to square both sides, getting us:

[tex]5a - 5 = 25[/tex]

Third step: We now can add 5 to get an isolated monomial:

[tex]5a = 30[/tex]

Fourth Step: Finally, divide by 5 to get:

[tex]a = 6[/tex]

the answer is 24 water pour into the vase

Answer:

A

Step-by-step explanation:

Given

P(t) = 60 [tex](3)^{\frac{t}{2} }[/tex]

Then

P(1) = 60 × [tex]3^{\frac{1}{2} }[/tex] = 60[tex]\sqrt{3}[/tex]

P(2) = 60 × 3 = 180

P(3) = 60 × [tex]3^{\frac{3}{2} }[/tex] = 60 ×[tex]\sqrt{3^{3} }[/tex] = 60 × 3[tex]\sqrt{3}[/tex] = 180[tex]\sqrt{3}[/tex]

P(4) = 60 × 3² = 60 × 9 = 540

P(5) = 60 × [tex]3^{\frac{5}{2} }[/tex] = 60 × [tex]\sqrt{3^{5} }[/tex] = 60 × 9[tex]\sqrt{3}[/tex] = 540[tex]\sqrt{3}[/tex]

P(6) = 60 × 3³ = 60 × 27 = 1620

From these 6 results we see that

P(3) = 3 × P(1)

P(4) = 3 × P(2)

P(5) = 3 × P(3)

P(6) = 3 × P(4)

The predicted number of organisms triples every 2 days → A

Answer:

$14.20

Step-by-step explanation:

$42.60 ÷ 3

$14.20

Answer:

x = 9

Step-by-step explanation:

The line splits the sides of the triangle in proportion (the ratios of the pieces is the same for both sides).

Setup:

[tex]\frac{8}{3x+1}=\frac{2}{x-2}[/tex]

"Cross multiply."

[tex]2(3x+1)=8(x-2)\\6x+2=8x-16\\18=2x\\9=x[/tex]

Answer:

$9.60 for 1 hour

The unit rate is $9.60

Step-by-step explanation:

Answer:

The answer is

1375ft3

Step-by-step explanation: