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2 years ago

Could you guys help meee

Mathematics

1 answer:

Alisiya [41]2 years ago

7 0

1. y= 2x

2. (0, 5)

3. y = 3x + 12

<h3>What is Algebra?</h3>

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

1. let us take (0,0) and (1, 2)

m= 2-0/1-0

m= 2

So equation of line

y- 0 = 2(x-0)

2. y= 3x+5

passes through (0, 5)

3. y= 3x+5

m = 3

We need the equation of a line with slope 3 that passes through point (0, 12).

y - y1 = m(x - x1)

y - 12 = 3(x - 0)

y - 12 = 3x

y = 3x + 12

Learn more about algebra here:

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Question 25 Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its widt

ludmilkaskok [199]

Answer:

Option A - 342 feet

Step-by-step explanation:

Given : Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width.

To find : What is the perimeter of Janice fence if the area of her garden is 5,670 square feet?

Solution :

Let the width of the garden be w=x feet.

The garden has a length that is 9 feet less than 3 times its width.

The length of the garden be l=3x-9 feet

The area of the garden is A=5670 square feet.

The formula of area of garden is $A=l\times w$

$5670=(3x-9)\times x$

$5670=3x^2-9x$

$3x^2-9x-5670=0$

$x^2-3x-1890=0$

$x^2-45x+42x-1890=0$

$x(x-45)+42(x-45)=0$

$(x-45)(x+42)=0$

$x=45,-42$

Reject x=-42 as measurement cannot be negative.

The width of the garden is w=45 feet.

The length of the garden is l=3(45)-9=135-9=126 feet.

The perimeter of the garden is $P=2(l+w)$

$P=2(126+45)$

$P=2(171)$

$P=342$

The perimeter of Janice fence is 342 feet.

Therefore, Option A is correct.

5 0

4 years ago

If f(x) = -2x + 7 and g(x) = x^2 – 2, what is (f•g)(3)?

svetlana [45]

Answer:

(f•g)(3) = -7

Step-by-step explanation:

f(x)=-2x + 7

g(x) = x^2 – 2

(f•g)(3) = -2(x² - 2) + 7

(f•g)(3) = -2x² + 4 +7

(f•g)(3) = -2x² + 11

(f•g)(3) = -2(3)² + 11

(f•g)(3) = -2(9) + 11

(f•g)(3) = -18 + 11

(f•g)(3) = -7

5 0

3 years ago

Read 2 more answers

(HELP) what is 10 1/2 ÷ 9 2/6 = ? (show ur work)

Readme [11.4K]

Answer:

9/8 or 1.125

Step-by-step explanation:

10 1/2 ÷ 9 2/6

= 21/2 ÷ 56/6

= 9/8

= 1.125

=》 See the attachment.

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2 years ago

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tyreek invested $8,000 into an account that pays 12% simple interest annually. what will the balance of his account be after ten

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Answer:

I belive it would be $17,600

Step-by-step explanation:

The way I did it might be confusing but.

12% of 8,000 is 960

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3 years ago

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Answer:

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Step-by-step explanation:

Calculate the z-scores corresponding to a GPA of 1.23 and 3.81.

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We want to find the area between the z-scores of -3 and 3.

The Empirical Rule tells us that 99.7% of the data lies within three standard deviations under the normal curve.

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