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2 years ago

How do you solve this equation? 4 - 2x| + 5 = 9

Mathematics

1 answer:

Savatey [412]2 years ago

7 0

Answer:

x=−2

Step-by-step explanation:

−2x+5−5=9−5

−2x=4

-2x/-2 = 4/-2

x=−2

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at a certain university, 23% of students will graduate with a math degree, 31% will graduate with a computer science degree and

Tpy6a [65]

<h3>Answer: B) 47%</h3>

Work Shown:

A = event that the person has math degree

B = event that the person has a computer science degree

P(A) = 0.23, since 23% of the people have a math degree

P(B) = 0.31, similar reasoning as above, just different number

P(A and B) = 0.07

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.23 + 0.31 - 0.07

P(A or B) = 0.47

The decimal value 0.47 then converts to 47% after moving the decimal 2 spots to the right.

There's a 47% chance that we pick someone who has a math degree or a computer science degree (or both).

It might help to set up a venn diagram to see why that formula above works.

5 0

2 years ago

What is the area of the rectangle?

den301095 [7]

Answer:

$50\ units^{2}$

Step-by-step explanation:

Plot the figure to better understand the problem

see the attached figure

we know that

If the figure is a rectangle

then

$AB=CD \\AD=BC$

The area of the rectangle is equal to

$A=B*h$

where

B is the base

h is the height

the base B is equal to the distance AB

the height h is equal to the distance AD

Step 1

Find the distance AB

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

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

$A(-5,5)\\B(0,-5)$

substitute the values

$d=\sqrt{(-5-5)^{2}+(0+5)^{2}}\\d=\sqrt{(-10)^{2}+(5)^{2}}\\dAB=\sqrt{125}\ units$

Step 2

Find the distance AD

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

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

$A(-5,5)\\D(-1,7)$

substitute the values

$d=\sqrt{(7-5)^{2}+(-1+5)^{2}}\\d=\sqrt{(2)^{2}+(4)^{2}}\\dAD=\sqrt{20}\ units$

Step 3

Find the area of the rectangle

$A=AB*AD$

we have

$dAB=\sqrt{125}\ units\\dAD=\sqrt{20}\ units$

substitute

$A=\sqrt{125}*\sqrt{20}\\A=\sqrt{2,500}\\A=50\ units^{2}$

7 0

3 years ago

19. “40 of what number is 34” i need work

mel-nik [20]

Answer:

85%

40% × ? = 34

? =

34 ÷ 40% =

34 ÷ (40 ÷ 100) =

(100 × 34) ÷ 40 =

3,400 ÷ 40 =

3 0

2 years ago

What are the factors to the equation 4x2-52x + 169 121? A 4(x-1)(x+12) B 4(x + 1)(x - 12) C. 4(x + 1)(x+12) D. 4(x-1)(x - 12)

Bingel [31]

The given equation is,

$4x^2-52x+169=121$

Simplifying the above equation,

$\begin{gathered} 4x^2-52x+169-121=0 \\ 4x^2-52x+48=0 \end{gathered}$ $\begin{gathered} 4x^2-13\times4x+4\times12=0 \\ 4(x^2-13x+12)=0 \\ 4(x^2-12x-1x+12\times1)=0 \\ 4(x(x-12)-1(x-12))=0 \\ 4(x-12)(x-1)=0 \end{gathered}$

Therefore, the factors of the given expression is 4(x-1)(x-12).

5 0

3 months ago

What decimal represents the portion of silver in sterling silver?

Aleks [24]

The answer is 92.5%.

5 0

3 years ago