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3 years ago

PLEASE HELP!!!!!!!!!!!!!

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

5 0

If you go from point (-1, -3) to point (4, 4), you can find the slope of the line using the slope formula. $m= \frac{4-(-3)}{4-(-1)}= \frac{7}{5}$ . So our slope is 7/5. The line goes through the y axis at -3/2, so putting that together we get an equation for the line that is $y= \frac{7}{5}x- \frac{3}{2}$ , choice D from above.

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What would be the best estimate for the height of a front door?

solmaris [256]

Answer: The height of a standard door is about 2 m. The length of an adult pace is about 1 m. The length of a size 8 shoe is about 30 cm. Most adults are between 1.5 m and 1.8 m in height.

Step-by-step explanation:

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3 years ago

Given that f(x) = X + 3 2 a) Find f(2) b) Find f'(x) c) Find f"(12)

joja [24]

Answer:

Step-by-step explanation:

Unclear. Did you mean f(x) = 2^(x + 3)? If so, the parentheses are mandatory.

Assuming that f(x) = 2^(x + 3) is correct, then:

a) f(2) = 2^(2 + 3) = 2^5 = 32

b) f'(x) = 2^(x + 3)*(x + 3)' = 2^(x + 3)(1) = 2^(x + 3)

c) f"(x) = 2^(x + 3) (same as in (b)), so that:

f"(12) = 2^15

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3 years ago

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torisob [31]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The area of a rectangular wall of a barn is 45 square feet. Its length is 12 feet longer than the width. Find the length and wid

ValentinkaMS [17]

Answer:

Mark as brainliest

Step-by-step explanation:

by using the formula for area: A= L x W substitute in what you know: A = 54 , the length in terms of the width so use

L=12 + 2W.

Now when everything is plugged in you now have: 54 = (12 + 2W) x W

Then use the Distributive Property to simplify: 54 = 12W + 2W2

Since you know have a quadratic to solve get it in the form ax2+bx + c = 0 so that you can solve it:

You do this by subtracting 54 from both sides and putting the 2W2 first so now it looks like this:

2W2 + 12W -54 = 0

Using the quadratic formula where a =2, b = 12, and c = -54.

Find b2-4ac which is the discriminant:

(12)2-4*2*(-54)=576

Take the square root of 576= 24

Now substitute the rest of the values into the Quadratic Formula:

It will look something like this: W = (-b plus or minus the square root of the discriminant)/2a

The two possible answers are:

W = (-12 + 24)/4 and W = (-12 - 24)/4

W = 12/4= 3 and W = -36/4= -9 (This second answer isn't possible because length can't be negative)

So the answer is:

Width = 3 feet Length = 12 + 2W = 12 + 2*3= 12 + 6 = 18 feet

This checks because A = L x W and 54 = 18 x 3

4 0

3 years ago

Three candidates were running for president of a student council. Altogether, 1524 students cast a vote in the election. The sec

Leya [2.2K]

Answer:

48%

Step-by-step explanation:

The total number of votes casted = 1524 votes = 100%

Let a = votes of first place candidate

b = votes of second place candidate

c = votes of third place candidate

The second place candidate had 140 votes less than the winner

b = a - 140 votes...... Equation 1

Hence,

a = b + 140.......... Equation 2

Second place candidate has 395 votes more than the last place candidate

b = c + 395.......Equation 3

Hence,

c = b - 395......Equation 4

a + b + c = 1524 votes....... Equation 5

If a = b + 140 and c = b - 395

The number of votes by b(second place candidate ) =

b + 140 + b + b - 395 = 1524 votes

3b = 1524 + 395 - 140

3b = 1779

b = 1779/3

b = 593 votes.

Therefore, the second place candidate had 593 votes.

Now we can calculate how many votes, the other candidates had.

The second place candidate had 140 votes less than the winner

Votes for the winner( first place candidate)

b = a - 140 votes...... Equation 1

Hence,

a = b + 140.......... Equation 2

Since b = 593

a = 593 + 140

a = 733 votes

Votes for the last place candidate

Since, Second place candidate has 395 votes more than the last place candidate

b = c + 395.......Equation 3

Hence,

c = b - 395......Equation 4

b = 593

c = 593 - 395

c = 198

From the above calculation,

a = votes of first place (winner) candidate = 733

b = votes of second place candidate = 593

c = votes of third(last) place candidate = 198

In the above question, we were asked to calculate the percentage of all the votes cast were received by the winner.

This is calculated as

= Voted received by winner/ Total number of votes casted × 100

= 733/1524 × 100

= 48.09711286%

Approximately to the nearest percent = 48%

Therefore, the percentage of all the votes cast were received by the winner = 48%

5 0

3 years ago