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3 years ago

Given -3(2x+7)=-29-4x prove x=4

Mathematics

2 answers:

sveta [45]3 years ago

5 0

$-3(2x+7)=-29-4x\\-3(2(4)+7)=-29-4(4)\\-3(8+7)=-29-16\\-3(15)=-45\\-45=-45$

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Doss [256]3 years ago

4 0

Answer:

x = 4

Step-by-step explanation:

Given

- 3(2x + 7) = - 29 - 4x ← distribute parenthesis on left side

- 6x - 21 = - 29 - 4x ( add 4x to both sides )

- 2x - 21 = - 29 ( add 21 to both sides )

- 2x = - 8 ( divide both sides by - 2 )

x = 4 ← as required

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3 years ago

Consider the function represented by the equation y minus 6 x minus 9 = 0. Which answer shows the equation written in function n

Nataly [62]

Answer: First option.

Step-by-step explanation:

You know that the function represented by the equation is the following:

$y-6x-9=0$

Then, you can follow these steps in order write the equation in function notation with "x" as the independent variable:

1. Solve for "y":

Add $6x$ to both sides:

$y-6x-9+6x=0+6x\\\\y-9=6x$

Add 9 to both sides:

$y-9+9=6x+9\\\\y=6x+9$

2. Since $f(x)$ is a common way of representing "y", you get:

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8 0

3 years ago

Read 2 more answers

What is the length of line segment YX? 8 units 8 StartRoot 3 EndRoot units 12 units 12 StartRoot 3 EndRoot units.

timurjin [86]

Length of line segment <em>YX </em>is distance of both the ends of it. The length of line segment <em>YX </em>is $8\sqrt{3}$ units.

<h3>What is length of a line segment?</h3>

The length of a line segment is the measurement of the distance of both the ends of it.

Given information-

In the rectangle $YVWX$ the length of line line segment YV is 24 units.

The rectangle $YVWX$ is shown in the image below.

The angle given in the figure is,

$m\angle X=30\\m\angle W=90\\m\angle V=60$

Now in the figure of rectangle shown below, the triangle <em>XWV </em>is the right angle triangle.

In this right angle triangle the tan of angle is the ratio perpendicular to the base. thus,

$\tan 60=\dfrac{24}{VW}\\\sqrt{3}=\dfrac{24}{VW}\\VW=8\sqrt{3}$

As the opposite side of a rectangle are equal. Thus, the length of line segment is <em>VW </em>is equal to the length of the line segment <em>YX</em>. Therefore,

$YX=VW=8\sqrt{3}$

Hence, the length of line segment <em>YX </em>is $8\sqrt{3}$ units. The option B is the correct option.

Learn more about the line segment here;

brainly.com/question/2437195

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2 years ago

Kevin calculated the product of 3.2 × 104 and 3.6 × 102 as 11.52 × 106. Which is the next step that Kevin should apply to his so

JulsSmile [24]

Let's rewrite the numbers correctly:
3.2 × 10 ^ 4
3.6 × 10 ^ 2
Now let's do the multiplication step by step:
Step 1:
The step Kevin made:
(3.2 * 3.6) * ((10 ^ 4) * (10 ^ 2))
11.52 * (10 ^ (4 + 2))
11.52 * 10 ^ 6
Step 2:
Rewrite the expression:
11.52 * 1000000
Step 3:
Roll the comma to the right:
11520000
Answer:
the next step that Kevin should apply to his solution is:
Step 2:
Rewrite the expression:
11.52 * 1000000
Step 3:
Roll the comma to the right:
11520000

6 0

3 years ago

Read 2 more answers

Nadia needs one cup of ice cream for every student in her class for their year-end party. The ice cream is only sold in pints. I

hoa [83]

The pints of ice cream for the students is an illustration of metric units

Nadia needs 12 pints of ice cream for the 24 students

<h3>How to determine the pints of ice cream?</h3>

The given parameter is:

Students = 24

She needs one cup for each student in the class.

So, the number of cups needed is:

Cups = 24

1 cup makes 1/2 pint.

So, we have:

Pint = 1/2 * 24

Pint = 12

Hence, Nadia needs 12 pints of ice cream for the 24 students