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3 years ago

Given the function: f (x) = (3 x + 4) minus (2 minus x) Evaluate for f (5).

Mathematics

1 answer:

Alina [70]3 years ago

7 0

Your answer is 22

Hope this helps!

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RectangleABCD has vertices at A(– 3, 1),B(– 2, – 1),C(2, 1), andD(1, 3). What is the area, in square units, of this rectangle? A

Anna [14]

Answer:

Option A. $10\ units^{2}$

Step-by-step explanation:

we know that

The area of the rectangle is equal to

A=LW

where

L is the length of rectangle

W is the width of rectangle

we have

$A(-3,1),B(-2,-1),C(2,1),D(1,3)$

Plot the vertices

see the attached figure

L=AD=BC

W=AB=DC

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AD

$A(-3,1),D(1,3)$

substitute in the formula

$AD=\sqrt{(3-1)^{2}+(1+3)^{2}}$

$AD=\sqrt{(2)^{2}+(4)^{2}}$

$AD=\sqrt{20}$

$AD=2\sqrt{5}\ units$

Find the distance AB

$A(-3,1),B(-2,-1)$

substitute in the formula

$AB=\sqrt{(-1-1)^{2}+(-2+3)^{2}}$

$AB=\sqrt{(-2)^{2}+(1)^{2}}$

$AB=\sqrt{5}$

$AB=\sqrt{5}\ units$

Find the area

$A=(2\sqrt{5})*(\sqrt{5})=10\ units^{2}$

4 0

3 years ago

Find x if f(x) = 2x + 7 and f(x) = -1. A.5 B.-4 C.-4

faltersainse [42]

Answer:

x = - 4

Step-by-step explanation:

Hi there !

if f(x) = 2x + 7 and f(x) = -1 =>

2x + 7 = - 1

2x = - 1 - 7

2x = - 8

x = - 8 ÷ 2

x = - 4

Good luck !

5 0

3 years ago

Which part of the expression is a factor 7(x+8) A. 21 B.8 C. 3x D. 7

Sever21 [200]

It is 7. None of the other ones fit at all

8 0

3 years ago

Read 2 more answers

Find the most important variable in the problem.

natali 33 [55]

Answer:

Step-by-step explanation:

Let

x = the number of phone available

If it would require 8 more phones, then the total number of phones will be x + 8.

A company hired an additional 12 employees, and every employee needed a phone, then

x + 8 = 12

x = 4

This means 4 phones were available (and 8 more needed to total in 12 phones for 12 new employees)

Hence, correct option is option A.

3 0

3 years ago

The figure shown is a rhombus. A rhombus with diagonals is shown. The diagonals form 4 triangles. The measures of the angles are

Vaselesa [24]

Answer:

Step-by-step explanation:

I just took the test and i got it correct! :)

3 0

3 years ago