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3 years ago

13

What is the factored form of 3x + 21x-24?

1 answer:

anastassius [24]3 years ago

4 0

Answer:

factorize form of the equation is $24(x-1)=0$ , where $x=1$

Step-by-step explanation:

Given Equation:

$3x + 21x-24=0$

Adding the terms of 'x' and taking constants on the other side.

$24x-24=0$

The sign of the constant will change on changing the side of it.

$24x=24$

$x=\frac{24}{24}$

$x=1$

So, the value of 'x' is 1

The factorized form of the equation can be made by taking the common value from the equation i.e

$24x-24=0\\$

$24(x-1)=0$

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For each sentence below, find the value of x that makes each sentence true.

vitfil [10]

<u>ANSWER</u>

1. $x=\frac{1}{2}$

2. $x=1$

<u>QUESTION 1</u>

The first sentence is $(5^{\frac{1}{5}})^5=25^x$ .

Recall that;

$(a^m)^n=a^{mn}$

We simplify the left hand side by applying this property to get;

$5^{\frac{1}{5}\times 5}=25^x$ .

$\Rightarrow 5^{1}=25^x$ .

We now rewrite the right hand side too in an index form to obtain;

$\Rightarrow 5^{1}=5^{2x}$

We now equate the exponents to get;

$\Rightarrow 1=2x$ .

$\Rightarrow \frac{1}{2}=x$

$\Rightarrow x=\frac{1}{2}$ .

<u>QUESTION 2</u>

The second sentence is $(8^{\frac{1}{3}})^2=4^x$

We simplify the left hand side first to get;

$(2^{3\times \frac{1}{3}})^2=4^x$

$2^2=4^x$

We now rewrite the left hand side too in index form to obtain;

$2^2=2^{2x}$

We equate the exponents to get;

$2=2x$

This implies that;

$1=x$

or

$x=1$

4 0

2 years ago

Answer correct for brainliest and also get a thanks ! :-) please help !!

Alenkasestr [34]

It should be the first one since the x and y cross each other out and leave only =-10

5 0

3 years ago

Help please! Identify an equation in point slope form for the line perpendicular to Y =-4x + 8 that passes through (-2, 7)

777dan777 [17]

Answer:

D. $y-7=\frac{1}{4}(x+2)$

Step-by-step explanation:

The point-slope form of a line is given by:

$y-y_1=m(x-x_1)$

The line given to us has equation; $y=-4x+8$ .

The slope of this line is -4. The of the line perpendicular to this line is the negative reciprocal of the slope of the given line.

Our slope of interest is therefore; $m=\frac{1}{4}$

Since the point goes through (-2,7), we have $x_1=-2,y_1=7$ .

We plug in the slope and the point into the point-slope formula to obain;

$y-7=\frac{1}{4}(x--2)$

The required equation is:

$y-7=\frac{1}{4}(x+2)$

3 0

2 years ago

A cargo truck weighs 8750 lb the weight limit for a certain bridge is 5 tons how many pounds of cargo can be added to the truck

Vaselesa [24]

Answer:

1,250 lbs

Step-by-step explanation:

There are 2,000 in 1 ton, so 5 * 2,000 = 10,000 lbs weight limit for the bridge.

10,000-8750 = 1,250 lbs can be added to the truck before they reach the bridge weight limit.

7 0

3 years ago

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What are the zeros of the quadratic function in the graph?

blagie [28]

Answer:

C

Step-by-step explanation:

1. Define word "zeros"

zeros = x-intercepts

2. Find x-intercepts

(-2, 0) and (-4, 0)

x-intercepts = -2, -4 or -4, -2

6 0

2 years ago

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