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3 years ago

Y = 7x + 10 what is the slope?

Mathematics

1 answer:

Slav-nsk [51]3 years ago

5 0

Answer:

The slope would be 7

it could also be represented as m = 7

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PLEASE HELP I DONT HAVE MUCH TIME

vaieri [72.5K]

Answer: Choice A. 1/64

Work Shown:

f(x) = 4^x

f(-3) = 4^(-3)

f(-3) = 1/(4^3) ... see note below

f(-3) = 1/64

Note: I'm using the rule that a^(-b) = 1/(a^b)

4 0

3 years ago

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if we use a number cube with the numbers 1-6 and assign 1-4 as temperature above 80 degrees F and a 5-6 as a temperature of 80 d

Andreas93 [3]

Answer:

Keep track of every 1,2,3 or 4 rolled in 30 rolls. These represent the number of days the temperatures is above 80 degrees F. Repeat this 100 times

Step-by-step explanation:

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3 years ago

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3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre

g100num [7]

Answer:

A.10000

B.25 more trees must be planted

Step-by-step explanation:

⇒Given:

The intial average yield per acre $y_{i}$ = 150

The initial number of trees per acre $t_{i}$ = 100

For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
Total yield = (number of trees per acre) $*$ (average yield per acre)

A.

⇒If the total trees per acre is doubled , which means :

total number of trees per acre $t_{f}$ = $2*t_{i}$ = 200

the yield will decrease by : $t_{f}$ - $y_{i}$

$y_{f}= 150-100= 50$

⇒total yield = $50*200=10000$

B.

⇒to maximize the yield ,

let's take the number of trees per acre to be 100+y ;

and thus the average yield per acre = 150 - y;

total yield = $(100+y)*(150-y)\\=15000+50y-y^{2} \\$

this is a quadratic equation. this can be rewritten as ,

⇒ $=15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}$

In this equation , the total yield becomes maximum when y=25;

⇒Thus the total number of trees per acre = 100+25 =125;

3 0

3 years ago

a carpenter estimates that it will take one person 54 hours to complete a job he plans to have three people work on the job for

strojnjashka [21]

2 days = 54/2 = 27 hours a day
Your welcome

5 0

3 years ago

What is the solution of log (t minus 3) = log (17 minus 4 t)? 4 5 15 20

Tcecarenko [31]

Option A: 4 is the solution

Explanation:

The given expression is $\log (t-3)=\log (17-4 t)$

We need to determine the solution of the expression.

Solution:

The solution of the expression can be determined by solving the expression for t.

Let us solve the given expression.

Applying the log rule, if $\log _{b}(f(x))=\log _{b}(g(x))$ then $f(x)=g(x)$

Thus, we have;

$t-3=17-4 t$

Adding both sides of the equation by 4t, we get;

$5t-3=17$

Adding both sides of the equation by 3, we have;

$5t=20$

Dividing both sides of the equation by 5, we get;

$t=4$

Hence, the value of t is 4.

Therefore, the solution of the given expression is 4.

Thus, Option A is the correct answer.

3 0

3 years ago

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