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3 years ago

What is the value of x in the equation 7x − 27 = 69? 6 −6 96/7 -96/7

2 answers:

8 0

96/7 because if it was any negative number the whole answer would be thrown off so that brings it down to 6 and 96/7 when you plug 6 in the number is to low and when you plug 96/7 in it works perfectly so the answer is c

wolverine [178]3 years ago

3 0

Answer: The correct option is

(C) $\dfrac{96}{7}.$

Step-by-step explanation: We are given to find the value of x in the following equation :

$7x-27=69~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the value of x, we must solve the given equation.

The solution of equation (i) is as follows :

$7x-27=69\\\\\Rightarrow 7x=69+27\\\\\Rightarrow 7x=96\\\\\Rightarrow x=\dfrac{96}{7}.$

Thus, the required value of x is $\dfrac{96}{7}.$

Option (C) is CORRECT.

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What is the slope-intercept form of the function that contains the point (8, 12) and has a slope of _2?

Crank

The function has a slope : m = - 2 and contains the point ( 8, 12 ).
y = m x + b
12 = ( - 2 ) * 8 + b
12 = - 16 + b
b = 12 + 16
b = 28
The slope-intercept form of the function is:
y = - 2 x + 28

3 0

3 years ago

Read 2 more answers

Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with

yan [13]

Answer:

<em>The volume of pyramid B is 64 times the volume of pyramid A.</em>

Step-by-step explanation:

Given:

Two square pyramids A and B.

Side Length of A, $s_A =$ 12 inches

Height of A, $h_A =$ 8 inches

Side Length of B, $s_B =$ 48 inches

Height of B, $h_B =$ 32 inches

To find:

How many times bigger is the volume of pyramid B than pyramid A?

$V_B$ is how many times bigger than $V_A$ ?

Solution:

First of all, let us have a look at the formula for volume of a pyramid:

$V=\dfrac{1}{3} \times \text{Area of Base} \times \text{Height}$

Here, base is square, so:

$V=\dfrac{1}{3} \times s^2 \times h$

Volume of pyramid A:

$V_A=\dfrac{1}{3} \times s_A^2 \times h_A$

$\Rightarrow V_A=\dfrac{1}{3} \times 12^2 \times 8 = 384\ inch^3$

Volume of pyramid B:

$V_B=\dfrac{1}{3} \times s_B^2 \times h_B$

$\Rightarrow V_B=\dfrac{1}{3} \times 48^2 \times 32 \\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 4^2 \times 4\\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 64\\\Rightarrow V_B= 24576\ inch^3 = 384\times 64\ inch^3\\\Rightarrow V_B = V_A\times 64\ inch^3$

<em>The volume of pyramid B is 64 times the volume of pyramid A.</em>

3 0

3 years ago

Please tell me the slope ontercept forn of this equation step by step 11x-4y=32

Afina-wow [57]

Answer:

Gradient is 11/4 and y intercept -8

Step-by-step explanation:

11X -4Y =32

transfer 11x on other side

-4y = -11x +32

multiply all termsby -1 so that coefficient of y is positive

4Y = 11X -32

DIVIDE ALL TERMS BY 4

Y = (11/4)X -8

COMPARE THIS WITH Y=mX +C

GRADIENT m is 11/4 and Y intercept C is -8

Gradient is 11/4 and y intercept -8

4 0

3 years ago

Read 2 more answers

A=1/2w(b+c) solve for c

kaheart [24]

9514 1404 393

Answer:

c = 2A/w -b

Step-by-step explanation:

Multiply by the inverse of the coefficient of the parentheses.

$A=\dfrac{w}{2}(b+c)\\\\\dfrac{2A}{w}=b+c\\\\\boxed{c=\dfrac{2A}{w}-b} \qquad\text{subtract $b$}$

3 0

3 years ago

Please help me solve this

andrew-mc [135]

A function assigns the values. The value of (p·p)(x) is x⁴ + 10x³ + 30x² + 25x.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given p(x)= x²+5x, therefore, the value of (p·p)(x) can be written as,

(p·p)(x) = p(p(x))

= (x²+5x)²+5(x²+5x)

= x⁴ + 25x² + 10x³ + 5x² + 25x

= x⁴ + 10x³ + 30x² + 25x

Hence, the value of (p·p)(x) is x⁴ + 10x³ + 30x² + 25x.

Learn more about Function:

brainly.com/question/5245372

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4 0

2 years ago