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nikitadnepr [17]

3 years ago

8

A bar gr agh shows that sports books received 9votes .if the scale is 0to20 by twos ,where should the bar end for the sports boo

ks ?

1 answer:

Viefleur [7K]3 years ago

8 0

Between 8 and 10. Because the number graph goes in two's and not in one's, the odd numbers go in between the even numbers.

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If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.

zmey [24]

Answer:

$a=3$ and $b=5$ .

Step-by-step explanation:

So I believe the problem is this:

$\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}$

where we are asked to find values for $a$ and $b$ such that the equation holds for any $x$ in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

$\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)$

$2(4x+3)=a(x+7)+b(x-3)$

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

$2(4\cdot -7+3)=a(-7+7)+b(-7-3)$

$2(-28+3)=a(0)+b(-10)$

$2(-25)=0-10b$

$-50=-10b$

Divide both sides by -10:

$\frac{-50}{-10}=b$

$5=b$

Now we have:

$2(4x+3)=a(x+7)+b(x-3)$ with $b=5$

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

$2(4\cdot 3+3)=a(3+7)+b(3-3)$

$2(12+3)=a(10)+b(0)$

$2(15)=10a+0$

$30=10a$

Divide both sides by 10:

$\frac{30}{10}=a$

$3=a$

So $a=3$ and $b=5$ .

4 0

2 years ago

Read 2 more answers

Which of the following is a solution of 12 x - 7 > 6?<br><br> -1<br> 0<br> 1<br> 2

Mkey [24]

Answer:

The answer to your question is "2"

Step-by-step explanation:

Data

12x - 7 > 6

Process

1.- Add +7 in both sides of the inequality

12x - 7 + 7 > 6 + 7

2.- Simplify

12x > 13

3.- Divide by 12 both sides

12x/12 > 13/12

x > 13/12 or x > 1.08

4.- Conclusion

All the numbers higher than 1.08 are solutions of this inequality

Then, from the choices, the only possible solution is 2.

5 0

3 years ago

If you ask the first 50 females who enter a restaurant to complete a survey about their experience, who is the sample?

Anettt [7]

Answer:

the first girl

Step-by-step explanation:

because the first girl to take the survey is a sample but the rest that follows are just extras(can i get brainliest pls)

6 0

2 years ago

Read 2 more answers

Clarice Sloan is a shift supervisor for Ace

Igoryamba

The net pay is the amount left after taxes and deductions have been removed from the gross pay.

Her monthly gross pay is: $4111.93

The deductions are:

$\mathbf{FIT = \$102}$

$\mathbf{SIT = 3.2\%}$

$\mathbf{CIT = 1.8\%}$

Let her gross pay be x.

So, we have:

$\mathbf{Net = x - FIT - x \times SIT - x \times CIT}$

So, we have:

$\mathbf{3804.33 = x - 102 - x \times 3.2\%- x \times 1.8\%}$

Express percentage as decimals

$\mathbf{3804.33 = x - 102 - x \times 0.032- x \times 0.018}$

$\mathbf{3804.33 = x - 102 - 0.032x - 0.018x}$

Add 102 to both sides

$\mathbf{3906.33 = x - 0.032x - 0.018x}$

$\mathbf{3906.33 = 0.95x}$

Divide both sides by 0.95

$\mathbf{4111.93 = x}$

Rewrite as:

$\mathbf{x = 4111.93 }$

Hence, her monthly gross pay is: $4111.93

Read more about gross and net pay at:

brainly.com/question/8952173

4 0

2 years ago

How to find the base and altitude of a rectangle if its area is 70 and its perimeter is 34?

kicyunya [14]

The area of a rectangle is base * altitude, and the perimeter is 2*base + 2*altitude,

base = 10cm and altitude = 7cm

6 0

2 years ago