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3 years ago

6

Solve the equation using zero-product property

2 answers:

dusya [7]3 years ago

7 0

X=2 or -7(answer choice A)

IgorLugansk [536]3 years ago

3 0

A) 2, -7

This is because you can view each (x-2) and (x+7) as a number. Thinking like this you have two numbers multiplied together to give you 0. The only way to multiply two numbers and get 0 is if either one or both of the numbers are 0. (As anything times 0 is 0.) So:

(x - 2) could be 0 or (x + 7) could be 0

Mathematically:

x - 2 = 0 and x+ 7 =0
+2 +2 -7 -7
x = 2 x = -7

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Approximately three out of every 25 Americans live in California about three out of every 50 Americans live in New York in about

pickupchik [31]

3 out of 25 = 12 out of 100
3 out of 50 = 6 out of 100
2 out of 25 = 8 out of 100
12 + 6 + 8 = 26
100 - 26 = 74%

4 0

3 years ago

With a detailed explanation from the internet<br> 1/(x-5)+3/(x+2)=4

irga5000 [103]

Answer:

$\boxed{ \sf x=\dfrac{4\pm\sqrt{43}}{2}}$

Explanation:

$\rightarrow \sf \dfrac{1}{x-5}+\dfrac{3}{x+2}=4$

<u>make the denominators same</u>

$\rightarrow \sf \dfrac{1(x+2)}{(x-5)(x+2)}+\dfrac{3(x-5)}{(x+2)(x-5)}=4$

<u>join the fractions together</u>

$\rightarrow \sf \dfrac{x+2+3x-15}{(x-5)(x+2)}=4$

<u>cross multiply</u>

$\rightarrow \sf x+2+3x-15=4(x-5)(x+2)$

<u>simplify</u>

$\rightarrow \sf 4x-13=4x^2-12x-40$

<u>group the variables</u>

$\rightarrow \sf 4x^2-16x-27 = 0$

<u>use quadratic formula</u>

$\rightarrow \sf x = \dfrac{-\left(-16\right)\pm \sqrt{\left(-16\right)^2-4\cdot \:4\left(-27\right)}}{2\cdot \:4}$

<u>simplify the following</u>

$\rightarrow \sf x=\dfrac{4\pm\sqrt{43}}{2}$

7 0

2 years ago

Read 2 more answers

If (a^x a ^y) - a^z = a^m then express m in terms of x, y and z.

omeli [17]

Answer:

m = x+y-z

Step-by-step explanation:

Given the expression.

(a^x a ^y) ÷ a^z = a^m

We are to express m in terms of x, y and z.

Using the multiplicative law of indices, the expression becomes:

a^{x+y} ÷ a^z = a^m

Applying the division rule in indices

a^{x+y} ÷ a^z = a^{x+y-z}

The equation becomes

a^{x+y-z} = a^m

Cancel out the base and equate the powers as shown:

x+y-z = m

Hence the expression of m in terms of x, y and z is m = x+y-z

8 0

3 years ago

What is the area of this parallelogram? A. 364 cm² B. 143 cm² C. 91 cm² D. 52 cm²

Tanzania [10]

The answer would be b

8 0

3 years ago

Read 2 more answers

Why will the value of y for the function y equals 5x + 1 always be greater than that of y equals 4x + 1 when X is greater than 1

mezya [45]

"Why?" in math has various meanings.

Let's solve

5x +1 > 4x + 1

That's easily solved,

5x - 4x > 1 - 1

x > 0

Since x>1 is included in x>0, it's in the solution set to the above inequality, so all such x make the inequality true.

6 0

4 years ago