1-2 Write an equation for each situation.
1. A bookstore ordered boxes of pencils for resale. The cost of the pencils was
$2.25 per box, and the shipping cost of the order was $2.80.

Answer:

The function of g(x) = 5x + 2

Step-by-step explanation:

Let us use the composite function to solve the question

∵ f(x) = 2x - 1

∵ f(g(x)) = 10x + 3

→ f(g(x)) means substitute x in f(x) by g(x)

∴ f(g(x)) = 2[g(x)] - 1

→ Equate the two right sides of f(g(x))

∴ 2[g(x)] - 1 = 10x + 3

→ Add 1 to both sides

∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1

∴ 2[g(x)] = 10x + 4

→ Divide each term into both sides by 2

∵ [tex]\frac{2[g(x)]}{2}[/tex] = [tex]\frac{10x}{2}[/tex] + [tex]\frac{4}{2}[/tex]

∴ g(x) = 5x + 2

∴ The function of g(x) = 5x + 2

Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:

First:

1. Find out the price of one can

A: $2.50 is per can

B: $1.92 is per can

C: $2.22 is per can

D: $1.54 is per can

The second step is:

Eliminate the most expensive

So, what we have left is

B: $1.92 is per can

D: $1.54 is per can

Hope this helped,

Kavitha Banarjee

Answer:

27

Step-by-step explanation:

Just add all numbers together.

Answer:

D. (4, 0)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

-x + 5y = -4

4x + 3y = 16

Step 2: Rewrite systems

x = 5y + 4

4x + 3y = 16

Step 3: Solve for y

Step 4: Solve for x

And we have our final answer!

Answer:

63.5

Step-by-step explanation:

248/4=62

the numbers are

60.5, 61.5, 62.5, 63.5

Answers:

======================================================

Explanation:

We'll use the zero product property to solve.

[tex]3(x^2+5)^2(x^2-25)^3(x-8)^4 = 0\\\\(x^2+5)^2=0 \text{ or } (x^2-25)^3=0 \text{ or } (x-8)^4 = 0\\\\x^2+5=0 \text{ or } x^2-25=0 \text{ or } x-8 = 0\\\\x^2=-5 \text{ or } x^2=25 \text{ or } x = 8\\\\x=\pm\sqrt{-5} \text{ or } x=\pm\sqrt{25} \text{ or } x = 8\\\\x=\pm i\sqrt{5} \text{ or } x=\pm 5 \text{ or } x = 8\\\\[/tex]

where [tex]i = \sqrt{-1}[/tex]

----------------------

The notation [tex]x=\pm i\sqrt{5}[/tex] breaks up into [tex]x=i\sqrt{5} \text{ or } x=-i\sqrt{5}[/tex]. The multiplicity of these two roots is 2 as it's the exponent of the factor [tex](x^2+5)^2[/tex]. Focus on the outermost exponent.

The notation [tex]x = \pm 5[/tex] becomes [tex]x = 5 \text{ or } x = -5[/tex]. The multiplicity of these two roots is 3 since it's the outermost exponent of the factor [tex](x^2-25)^3[/tex]

And finally, the multiplicity of the root x = 8 is 4 because it is the outermost exponent of the factor [tex](x-8)^4[/tex]

Answer:

Step-by-step explanation:

isosceles triangles are ones that have two equal sides and angles. this would mean that ab is equal to bc. then you substitute the values in for AB=BC, 3x-4=5x-10. you bring the variables to one side and you flip everything which is then 2x=6 and then divide by 2. this would be x=3. then you have to figure out the AB. 3(3)-4=5. then you can always check for BC, 5(3)-10=5. and they are equal! hope i helped!

Answer:

The answer is 36 adults and 88 children.

Step-by-step explanation:

The two equations are:

x+y=124 and 5x+3y=444

Using substitution method:

5x+3(124+x)=444

5x+372-3x=444

2x=72

x=36

5(36)+3y=444

180+3y=444

3y=264

y=88

Answer:

8 is 7 and 9 is no, because charlie only saves around 1/4 but melody saves around 1/3

Step-by-step explanation:

Answer:

8:  7

9: No

Step-by-step explanation:

Answer:

Depth=3.18cm

Step-by-step explanation:

V=πr2h

1LITRE=1000CM3

v=1000cm³

1000cm3=3.142×10²×Depth

Depth= 1000/3.142×100

Depth=3.18cm

Answer:

Please check the explanation.

Step-by-step explanation:

Solving the expressions

7)

given the expression

[tex]\left(-7\right)+\:\left(-10\right)\:-\:5\:+2[/tex]

so

[tex]=\left(-7\right)-10-5+2[/tex]

[tex]=-17-5+2[/tex]

[tex]=-22+2[/tex]

[tex]=-20[/tex]

8)

[tex]\left(-9\right)+4+\left(-8\right)-\left(-7\right)[/tex]

so

[tex]=-5+\left(-8\right)-\left(-7\right)[/tex]

[tex]=-5-8-\left(-7\right)[/tex]

[tex]=-13-\left(-7\right)[/tex]

[tex]=-13+7[/tex]

[tex]=-6[/tex]

9)

[tex]\left(-6\right)\:-\:\left(2\:\times \:4\right)\:-\:\left(-1\right)\:[/tex]

so

[tex]\left(-6\right)-\left(2\times \:4\right)-\left(-1\right)[/tex]

Calculate within parentheses

[tex]=\left(-6\right)-8-\left(-1\right)[/tex]

[tex]=-14-\left(-1\right)[/tex]

[tex]=-14+1[/tex]

[tex]=-13[/tex]

10)

[tex]\left(-8\right)\:+\:\left(-4\:\div \:-4\right)\:-\:8[/tex]

solving

[tex]\left(-8\right)+\left(-\frac{4}{-4}\right)-8[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a[/tex]

[tex]=-8-\frac{4}{-4}-8[/tex]

[tex]=-8-\left(-1\right)-8[/tex]

[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]

[tex]=-8+1-8[/tex]

[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-8+1-8=-15[/tex]

[tex]=-15[/tex]

The value of the given expression 7) (-7) + (-10) – 5 +2 is -20, 8) (-9) + 4 + (-8) – (-7) is -6, 9) (-6) – (2 x 4) – (-1) is -11, 10) (-8) + (-4 ÷ -4) – 8 is -15.

BODMAS stands for B- bracket, O- order, D-division, M-multiplication, A- addition, S- subtraction. We use this rule when there is more than one operation are present in the mathematical expression.

7)  (-7) + (-10) – 5 +2

here, we will use the BODMAS rule, the addition and subtraction will go from left to right.

= -7 -10 -5 + 2

= -17 -5 + 2

= -22 + 2

= -20

8) (-9) + 4 + (-8) – (-7)

=  -9 +4 -8 +7

= -5 -8 +7

= -13 + 7

= -6

9) (-6) – (2 x 4) – (-1)

= -6 - 8 +1

= -12 + 1

= -11

10) (-8) + (-4 ÷ -4) – 8

= -8 -4/ (-4) - 8

= -8 +1 -8

= -7 -8

= -15

Therefore, the value of the given expression 7) (-7) + (-10) – 5 +2 is -20, 8) (-9) + 4 + (-8) – (-7) is -6, 9) (-6) – (2 x 4) – (-1) is -11, 10) (-8) + (-4 ÷ -4) – 8 is -15.

Learn more about the BODMAS rule here:

https://brainly.com/question/24383445

Answer:

x = 1

Step-by-step explanation:

(4x/3) - 3x + 1 = 10

(4x/3) -3x = 9

4x - x = 3

3x = 3

x = 1

Answer:

y=19.6

Step-by-step explanation:

Answer:

to get y you subtract 12.4 from both side and that is your answer.

Step-by-step explanation:

19.6 hope it correct mark brainliest if so thank u have an nice day

Answer:

18 students are making a B or higher

Step-by-step explanation:

24 * 75% = 18

Answer:

we are looking for the part

Answer: 8 times more 8*2 1/2 = 20 pounds.

Step-by-step explanation: If 2.5 pounds cover 1/8 then simply multiply the 2.5 by 8, since you'll need 8/8. 8/8=1.

I hope this helps :)

Answer:

5 feet

mark above answer BRILLIANT

Answer:

11.3kg

Step-by-step explanation:

if 700=20

therefore 400=400*20÷700=11.3

Answer:

6 1/4 inches

Step-by-step explanation:

Answer:

y=7x

Step-by-step explanation:

When finding the slope intercept form using 2 points, we do the following.

y=mx+b (Slope intercept from)

y=7x+b (7 is slope)

Substitute the point

7=7(1)+b

7=7+b

b=0

y=7x

The slope intercept equation is y = 7x

Answer:

f(x) = (x+1)^2 - 9

Answer:

A = 1

B = 2

C = -8

Y intercept is (0,8)

The line of symmetry is x = -1

Min/max is (-1, -9)

Opens up

Domain is (-infinity, infinity)

Range is (-9, infinity)

The vertex is (-1,-9)

Answer:

2n + 1 to find the first odd number.

Step-by-step explanation:

that is it

Answer:

D

Step-by-step explanation:

The rate at which the pool is filled is 1 gallon per 9 minutes. If you divide all the numbers of minutes in the left side of the table with the number of gallons on the right you get 9 minutes per gallon for each of them so they follow the rate.

9514 1404 393

Answer:

  4, 5, 6

Step-by-step explanation:

Let x represent the middle one. Then the sum of the first two is ...

  (x -1) +x

And we want that to be 3 more than the third:

  (x -1) +x = (x +1) +3

  2x = x +5 . . . . . . . . . add 1, simplify

  x = 5 . . . . . . . . . . . . . subtract x

Since 5 is the middle integer, the three integers are ...

  4, 5, 6