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jeka57 [31]
3 years ago
11

When 3^2 – 2 + 7 is subtracted from 5^3 – 4^2 + 10, what is the difference?

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
6 0
The difference is 105
3^2 - 2 + 7 =
(3 x 3) - 2 + 7 =
9 - 2 + 7 = 14

5^3 - 4^2 + 10 =
( 5 x 5 x 5) - ( 4 x 4) + 10
125 - 16 + 10 = 119

119 - 14 = 105
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Please help! 15 points to whoever graphs and solves it!
monitta

First you have to get the equation into slope/intercept format: y = mx + b

3y > -3+6x\\\\\frac{3y}{3} >\frac{-3+6x}{3} \\y >\frac{3(-1+2x)}{3} \\y > -1+2x\\\\y>2x-1

So the slope m = 2, and the y-intercept b = -1.

b tells you where the line intersects the y axis. The slope is rise (vertical distance) over run (horizontal distance). I have attached my best attempt at drawing this without graph paper.  The dotted line represents the inequality, and the solution set includes the values above the line which is why it is shaded. Hope this helps!

4 0
3 years ago
Solve -7/2=-28 please solve and show work
Assoli18 [71]

Step-by-step explanation:

-7/2 = -28

-7 = -28 × 2

-7 = -56

5 0
3 years ago
I am donating packages for Christmas drive. After the first week, I spent 126 to donate three children packages and 8 adult pack
anastassius [24]

Answer:

Step-by-step explanation:

Let the price for children and adults package be represented with x and y respectively.

For the first week the sum of the package will be as follows:

3x+8y = 126

For the two weeks after:

6x+4y= 108

So, we will be having two equations

3x+8y = 126..... (1)

6x+4y= 108.......(2)

These are simultaneous equations

From equation 1

3x+8y = 126

3x = 126-8y

X = 126-8y/3 ............. (3)

Put equation 3 into 2

6 ( 126-8y)/3 +4y = 108

756-48y/3 +4y = 108

756-48y+12y/3 = 108

Cross multiplying

756-48y+12y= 108×3

756-48y+ 12y = 324

Collecting like terms

756-324 = 48y-12y

432= 36y

Divide both sides by 36

432/36 = 36y/36

y= 12

Substituting y into equation 1

3x+8= 126

3x+96=126

3x= 126-96

3x= 30

Divide both sides by 3

3x/3 = 30/3

x = 10

Hence for each of the packages for children and adults. It will be 10 and 12 respectively.

8 0
3 years ago
8^x=2 write down the value of x
e-lub [12.9K]

Answer:

x = \frac{1}{3}

Step-by-step explanation:

Using the rule of exponents

a^m^{n} = a^{mn}

Note that 8 = 2³ and 2 = 2^{1}, then

(2^3)^{x} = 2^{1}, that is

2^{3x} = 2^{1}

Since the bases on both sides are equal, equate the exponents

3x = 1 ( divide both sides by 3 )

x = \frac{1}{3}

4 0
3 years ago
A number reckoned on the basis of a whole divided into 100 parts is known as a
VladimirAG [237]

The answer for the question is: Percentage.

The explanation for this answer is shown below:

By definition, a percentage is a number that is computed on the basis of a whole divided into one hundred parts. Therefore, based on this definition, you can write a percent as percentage (with the symbol %), as a fraction (with a numerator and a denominator) and you can also express it as a decimal, as following:

20%=\frac{1}{5}=0.2

8 0
3 years ago
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