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3 years ago

1. Fill in the blanks: For the line 3.x - y = 2, the x-intercept is and the y-intercept is-

Mathematics

1 answer:

Allushta [10]3 years ago

4 0

Answer:

x-intercept: (2/3, 0)

y-intercept: (0, -2)

Step-by-step explanation:

x-intercept: when y = 0

3x - y = 2

3x - 0 = 2

x = 2/3

y-intercept: when x = 0

3x - y = 2

0 - y = 2

y = -2

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Jelanis family is putting a fence around their yard. They need 106 feet of fencing. The length of the yard is 5x+8. Find the len

aleksley [76]

Answer:

The length of the yard is $48\ ft$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The perimeter of the yard required to be fenced is equal to

$P=(5x+8)+2(3x-1)+2(x-2)\\P=13x+2$

$P=106\ ft$

$106=13x+2$

solve for x

$13x=106-2$

$13x=104$

$x=104/13=8\ ft$

Find the length of the yard

$5x+8=5(8)+8=48\ ft$

5 0

3 years ago

I need help with this question

Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

f(x) = 6x³-x²+4x+5

g(x) = 9x³-1

(f+g)(x) = {6x³-x²+4x+5} + {9x³-1}

open brackets

6x³-x²+4x+5 + 9x³-1

choose like terms

6x³+ 9x³-x²+4x+5 -1

15x³-x²+4x+4= x²(15x-1)+4(x+1)= (x²+4)(x+1)(15x-1)

(f+g)(x)= 15x³-x²+4x+4 = (x²+4)(x+1)(15x-1)

(f+g)(2) = 15(2)³-(2)²+4(2)+4 = 15(8)-4+8+4 = 120+8 = 128

(f-g)(x) = {6x³-x²+4x+5} - {9x³-1}

open brackets

6x³-x²+4x+5 - 9x³+1

choose like terms

6x³- 9x³-x²+4x+5 +1

-3x³-x²+4x+6= -x²(3x+1)+2(2x+3)= (-x²+2)(3x+1)(2x+3) = (2-x²)(3x+1)(2x+3)

(f-g)(x) = -3x³-x²+4x+6 = (2-x²)(3x+1)(2x+3)

(f-g)(-3) = -3(-3)³-(-3)²+4(-3)+6 = -3(-3x-3x-3)-(-3x-3)-12+6=-3(-27)-3(9)-12+6= 81-27-12+6 = 54-6= 48

(f-g)(-3) = 48

4 0

3 years ago

A stem and leaf plot titled High Temperatures in degrees Fahrenheit. The stems are 4, 5, 6, 7. The first column of leaves are 9,

ad-work [718]

Answer:

The temperature with the highest frequency is 54

Step-by-step explanation:

Given

The above data

Required

The temperature with the highest frequency

The first step, is to plot the stem and leaf plot.

$\begin{array}{cc}{4} & {9\ \ } & {5} & {2\ 4\ 4\ 6\ 8} & {6} & {0\ 1\ } & {7} & {2\ 3\ } \ \end{array}$

Next, is to identify the leaf with the highest frequency.

The leaf is 4 (with frequency 2)

Next, is to identify the accompanying stem of the leaf

The stem is 5

<em>Hence, the temperature with the highest frequency is 54</em>

5 0

3 years ago

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What type of correlation is shown in the graph?

Studentka2010 [4]

The answer is A, positive. As you can see all the dots are all moving upwards.

4 0

3 years ago

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What is the value of this expression 1/4−3 ? 12 1/12 64 1/64

kompoz [17]

1/4^(-3) = 4^3 = 64.

8 0

3 years ago