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2 years ago

9

What value of x makes this equation true? -12 + 5x = -24 + x

1 answer:

Alex2 years ago

4 0

Answer:

Step-by-step explanation:

-12+5x=-24+x

4x=-12

x=-3

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Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2a

Vitek1552 [10]

Answer:

$2ab - 6a + 5b - 15$

Step-by-step explanation:

Given

$2ab - 6a + 5b + \_$

Required

Fill in the gap to produce the product of linear expressions

$2ab - 6a + 5b + \_$

Split to 2

$(2ab - 6a) + (5b + \_)$

Factorize the first bracket

$2a(b - 3) + (5b + \_)$

Represent the _ with X

$2a(b - 3) + (5b + X)$

Factorize the second bracket

$2a(b - 3) + 5(b + \frac{X}{5})$

To result in a linear expression, then the following condition must be satisfied;

$b - 3 = b + \frac{X}{5}$

Subtract b from both sides

$b - b- 3 = b - b+ \frac{X}{5}$

$- 3 = \frac{X}{5}$

Multiply both sides by 5

$- 3 * 5 = \frac{X}{5} * 5$

$X = -15$

Substitute -15 for X in $2a(b - 3) + 5(b + \frac{X}{5})$

$2a(b - 3) + 5(b + \frac{-15}{5})$

$2a(b - 3) + 5(b - \frac{15}{5})$

$2a(b - 3) + 5(b - 3)$

$(2a + 5)(b - 3)$

The two linear expressions are $(2a+ 5)$ and $(b - 3)$

Their product will result in $2ab - 6a + 5b - 15$

<em>Hence, the constant is -15</em>

3 0

3 years ago

The graph shows the distance a bicyclist traveled from a starting point in 10-second increments. Which of these is closest to th

myrzilka [38]

Answer:

C. 10 m/s

Step-by-step explanation:

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2 years ago

There are 60 apples and then add 59 apples two times . How many apples and there altogether

STALIN [3.7K]

Answer:

Step-by-step explanation:

59 apples two times = 59 x 2 = 118 apples

Total apples = 118 + 60 = 178 apples

7 0

2 years ago

For the function f(x)=(x+6)^3, rind f^-1(x)

qaws [65]

Answer:

$f^{-1}(x)=\sqrt[3]{x}-6$

Step-by-step explanation:

$f(x)=(x+6)^3$

$y=(x+6)^3$

$x=(y+6)^3$

$\sqrt[3]{x}=y+6$

$\sqrt[3]{x}-6=y$

5 0

2 years ago

Jaylon has 20 math problems for homework. He has completed 60% of the

garik1379 [7]

Answer:

Jaylon has completed 12 problems.

Step-by-step explanation:

(This is how I learned it- I'm not sure if you have been taught this way..)
Step 1. Set up a proportion
$\frac{60}{100} = \frac{x}{20}$
Step 2. Do 200x 60 to get 1200
Step 3. Get this equation
$\frac{1200}{100} = x$
Step 4. Get the answer of 12
I hope this helps! :)

3 0

2 years ago

Read 2 more answers