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2 years ago

Help me please!!!!!!!!!

Mathematics

1 answer:

nasty-shy [4]2 years ago

4 0

Answer:

(x - 6) (x + 6)

Step-by-step explanation:

Given the quadratic equation $x^{2} - 36$ , we can rewrite it as the product of two binomials using the formula: $u^{2} - v^{2} = (u - v )(u + v )$ . Therefore, the two binomials as factor of $x^{2} - 36$ are (x - 6) (x + 6).

To verify whether this answer is correct, you can use the FOIL method:

(x - 6) (x + 6) = $x^2$ + 6x - 6x - 36 = $x^{2} - 36$ .

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Joshua's goal is to sell more than 20 items at a farmers' market. So far, he has sold 6 items. Each of his customers buys 2 item

amid [387]

Answer:

More than 7

Step-by-step explanation:

Given that:

Joshua's goal is to sell more than 20 items at a farmer's market.

Number of items already sold = 6

So, number of more items to be sold > Total number of items to be sold - Number of items already sold > 20 - 6 > 14

Given that each customer buys 2 items.

Let $c$ be the number of customers.

So, number of items bought be the customers = Number of items bought by each customer multiplied by the number of customers = $2c$

And as per the question statement,

Number of more items to be sold > 14 (as calculated in above step)

$2c>14\\\Rightarrow \bold{c>7}$

Therefore, the answer is: More than 7 additional customers are required.

3 0

3 years ago

Work out the equation of a line which has a gradient of 2 and passes through the line (1, 4).

KATRIN_1 [288]

The equation of the line which has a gradient of 2 and passes through the point (1,4) is y = 2x + 2.

We have given that,

A line that has a gradient of 2 and passes through the line (1, 4).

We have to determine the equation of the line,

<h3>What is the gradient?</h3>

The gradient also known as the slope is the defined as

Gradient (m) = change in y coordinate / change in x coordinate

The equation of a line passing through a given point is given by the following equation

y – y₁ = m(x – x₁)

How to determine the equation of the line passing through point (1,4)

x coordinate (x₁) = 1

y coordinate (y₁) = 4

Gradient (m) = 2

Equation =

y – y₁ = m(x – x₁)

y – 4 = 2(x – 1)

Clear bracket

y – 4 = 2x – 2

Make y the subject by adding 4 to both sides

y – 4 + 4 = 2x – 2 + 4

y = 2x + 2

The equation of the line which has a gradient of 2 and passes through the point (1,4) is y = 2x + 2.

To learn more about the line visit:

brainly.com/question/5396646

#SPJ1

3 0

1 year ago

Find -3 3/4 +1/2, i-Ready quiz

Fofino [41]

Answer: I think the answer is -3 2/5✨

4 0

3 years ago

Can someone please help ty!

AVprozaik [17]

Answer:

function

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Question in picture A) 16/63 B)-16/63 C) 63/16 D) -63/16

Orlov [11]

ANSWER
$\tan(x + y) = - \frac{63}{16}$

EXPLANATION

We were given that,

$\csc(x) = \frac{5}{3}$

This implies that,

$\sin(x) = \frac{3}{5}$

We use the Pythagorean identity

$\sin^{2} (x) + \cos^{2} (x)= 1$
to get,

$\cos(x) = \sqrt{1 - ( { \frac{3}{5} })^{2}} = \frac{4}{5}$

We were also given that,

$\cos(y) = \frac{5}{13}$

This means that,

$\sin(y) = \sqrt{1 - {( \frac{5}{13}) }^{2} } = \frac{12}{13}$

This is because,

$0 < \: x \: < \frac{\pi}{2}$

$0 < \: y \: < \frac{\pi}{2}$

This angles are in the first quadrant so we pick the positive values.

$\tan(x + y) = \frac{ \sin(x + y) }{ \cos(x + y) }$

$\tan(x + y) = \frac{ \sin(x ) \cos(y) + \sin(y) \cos(x) }{ \cos(x) \cos(y) - \sin(x) \sin(y) }$

$\tan(x + y) = \frac{ \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} }{ \frac{4}{5} \times \frac{5}{13} - \frac{3}{5} \times \frac{12}{13} }$

$\tan(x + y) = - \frac{63}{16}$

The correct answer is D

4 0

3 years ago