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3 years ago

The trinomial x2 – 3x – 4 is represented by the model.

Mathematics

1 answer:

Nina [5.8K]3 years ago

5 0

Answer:

(x - 4)(x + 1)

Step-by-step explanation:

Given

x² - 3x - 4

To factor the trinomial

Consider the factors of the constant term (- 4) which sum to give the coefficient of the x- term (- 3)

The factors are - 4 and + 1, since

- 4 × 1 = - 4 and - 4 + 1 = - 3, hence

x² - 3x - 4 = (x - 4)(x + 1)

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jessica will babysit children for $8 an hour. ciara will babysit for an appointment fee of $12 and $4 an hour. how many hours wo

SSSSS [86.1K]

Answer:

Answer are in bold below

Step-by-step explanation:

Question: 1

Jessica = $8

Ciara = $12 + 4 $16

Now we times both values.

16 x 8 = $128

8 x 16 = $128

They would both need to work 8 hours ft=or the same money.

Question 2:

$8 x 5 = $40

$16 x 5 =$80

Jessica will be less expensive.

5 0

3 years ago

Read 2 more answers

Find the volume of a pyramid with a square base, where the perimeter of the base is 8.2\text{ cm}8.2 cm and the height of the py

7nadin3 [17]

Answer:

$V=18.2cm^3$

Step-by-step explanation:

The volume of the pyramid is given by:

$V=\frac{A_{b}h}{3}$

where $A_{b}$ is the area of the base and $h$ is the height.

We know that the height is:

$h=13cm$

Thus we need to find the area of the square at the base.

The perimeter of the square is:

$p=8.2cm$

this means that the length of the sides of the square is :

$l=\frac{p}{4}\\ \\l=\frac{8.2cm}{4}\\ \\l=2.05cm$

Now we can find the area of the base which the area of the square:

$A_{b}=l^2\\A_b=(2.05cm)^2\\A_b=4.2025cm^2$

and finally we find the volume:

$V=\frac{A_{b}h}{3}$

$V=\frac{(4.2025cm^2)(13cm)}{3}\\ \\V=\frac{54.6325cm^3}{3}\\ \\V=18.2108cm^3$

Which rounded to the nearest tenth of a cubic centimeter is: $V=18.2cm^3$

3 0

3 years ago

if the price of an article is without tax is ₹ 800, and the price with tax is ₹ 860 the sales tax rate is_____________

vivado [14]

9514 1404 393

Answer:

7.5%

Step-by-step explanation:

The tax as a proportion of the selling price is ...

₹(860 -800)/₹800 = 60/800 = 0.075 = 7.5%

7 0

2 years ago

Which statement is true about the graphs shown? A) Only graph A represents a proportional relationship. B) Only graph B represen

tekilochka [14]

Answer:

I believe the answer is B.

Step-by-step explanation:

Because a proportional relationship is one where x is proportional (equal) to y, and Graph A does not fall into that category, and Graph B does, the answer should be B.

7 0

3 years ago

Read 2 more answers

Find the slope of the line through the points (3,2) and (4,5).

igomit [66]

Answer:

<h2>The answer is 3</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question we have

$m = \frac{5 - 2}{4 - 3} = \frac{3}{1} = 3 \\$

We have the final answer as

Hope this helps you

5 0

3 years ago