Simplify the expression by combining like terms.
15 + 12z– 5z + 4y- 7

Answers

Answer 1

Answer: = 4y + 7z + 8

Answer 2

Answer:

7z+4y+8

Step-by-step explanation:

Collect the like terms so 12z-5z would be 7z, then since there is only 1 y term it would be 4y, and -7 + 15= 8


Related Questions

NEED HELP ASAP!!! 50 pts (Algebra 2, Systems of Equations)
The Smith family is trying to decide what theme park to visit on their vacation. Family Fun Land costs $12 per person and $40 for parking. Blue Jay Bay costs $22 per person and $12 for parking. Explain their different options depending on how many people go.

Answers

Answer: For groups with over 3 people, Family Fun Land is the best option. It's cheapest for groups of 1 or 2 to go to Blue Jay Bay.

Step-by-step explanation:

Family Fun Land | y = total $, x = # of people

y = 12x + 40

Blue Jay Bay

y = 22x + 12

2 People

y = 12(2) + 40

y = 64

y = 22(2) + 12

y = 56

3 People

y = 12(3) + 40

y = 76

y = 22(3) + 12

y = 78

A line passes through the point (10,-7) and has a slope of 1/2
Write an equation in slope-intercept for this line

Answers

Answer:

1/2x -12

Step-by-step explanation:

y- -7 = 1/2 (x-10)

y + 7 = 1/2x - 5

-7              -7

y= 1/2x -12

write a system of linear equations in which (3,-5) is a solution of equation 1 but not a solution of equation 2 and (-1,7) is a solution of the system

Answers

Answer:

Examine this system of linear equations.

y – 3x = –2,

y = 4

Which is a solution of the system of equations?

(0, 4)

(2, 2)

(2, 4)=this is the correct answer

(4, 2)

Step-by-step explanation:

thats the answer

(2,4)

Need help with this ASAP and all you have to do is match the siblings with the options and the options are group a, group b, and group c. Please

Answers

Answer: oldest sibling is B, middle sibling is C, youngest sibing is A

2.010010001
is this rational or irrational?

Answers

Answer:

It is irrational

Step-by-step explanation:

is a non-terminating & non-recurring decimal

2 3/4 devided by 1/6

Answers

Step-by-step explanation:

16.5

I'm pretty sure that this is the correct answer.

Find the equation of line that passes through the points (2.0) and (4.6). Write the equation in slope-intercept form

Answers

Answer:

y = 3x - 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (4, 6)

m = [tex]\frac{6-0}{4-2}[/tex] = [tex]\frac{6}{2}[/tex] = 3, then

y = 3x + c ← is the partial equation

To find c, substitute either of the 2 points into the partial equation

Using (2, 0 ) , then

0 = 6 + c ⇒ c = 0 - 6 = - 6

y = 3x - 6 ← equation of line

Shane has a piece of fabric that is 4 1/3 yards long. He plans to cut the fabric into 3 pieces, each measuring 3/5 of a yard. What is the length of fabric left over after Shane cuts the 3 pieces.

Answers

Answer:

Is it 2 and 8/15 for the answer?

Step-by-step explanation:

3/5 times 3/1 = 9/5 = 1 4/5, then 4 1/3 - 1 4/5= 2 8/15

Solve for X the mini box in the corner is 90 degree angle

Answers

x = 12

A triangle has a sum of interior angles equaling 180 degrees. Since the triangle has a right angle, 90 degrees, subtract 90 from 180.

There are 90 degrees left in the triangle. An angle of 35 degrees is given. 90 - 35 = 55. Thus, the final angle must equal 55 degrees.

Solve for x
3x + 19 = 55
- Subtract 19 from each side
3x = 36
- Divide by 3 to isolate x
x = 12

answer correctly please take ur time and i will give you brainliest

Answers

Answer:

15

Step-by-step explanation:45-30 OVER 3-2= 15

please help me with y-intercept and slope

Answers

Slope =4
Y intercept =4
Y=4x+4

Which expression represents each mathematical phrase?

Drag the answer into the box to match each phrase.

(1) the product of 7 and a number
(2) the sum of 7 and a number
(3) 7 less than a number
(4) 7 more than twice a number

(a) 2+x+7
(b) 7+x
(c) 2x+7
(d) x-7
(e) 7x
(f) 7-x

Answers

Answer:

(1) = (e) 7x. (2) = (b) 7+x. (3) = (d) x-7. (4) = (c) 2x+7

Find the value of c that completes the square for the function f(x)= x2 + 4x + C.
Your answer:
- 4
4
16
81/
4

Answers

Answer:

[tex] = - 4 \times 2 + 4 \times ( - 4) + c \\ = - 8 - 16 + c \\ = 24 + c \\ \frac{ - c}{ - 1} = \frac{24}{ - 1} \\ c = - 24[/tex]

Solve 4 - x= -8.
Correct answer please

Answers

Answer:

12!

Step-by-step explanation:

Heya! What you're searching for is the value of x that would bring you to -8. 4 minus the value of x is what would get you to -8, so I simply plugged 12 in for the value of x. 12 subtracted from 4 gives you -8, so I hope that this helped! (Please mark as brainliest if I was right <3)

Answer:

X = 12

Step-by-step explanation:

4 - x = -8

or. -x = -8 - 4

or. -x = -12

or. x = 12

How do you know if you have to divide or multiply in a ratio problem?

Answers

Answer: you looking for ways to calculate ratio problems quickly and accurately? Learn the best methods here, with useful diagrams – and find out what to avoid too. … Ratios can be scaled up or down by multiplying both parts of the ratio … the ratio by the largest number that they can both be divided by

Step-by-step explanation:

you looking for ways to calculate ratio problems quickly and accurately? Learn the best methods here, with useful diagrams – and find out what to avoid too. ... Ratios can be scaled up or down by multiplying both parts of the ratio ... the ratio by the largest number that they can both be divided by[tex]did this help[/tex]

Prove that:
(A cos x + B sin x)^2 - (B cos x + A sin x)^2 = (A^2 - B^2) (cos^2x - sin^2x)

Answers

Answer:

see explanation

Step-by-step explanation:

Consider the left side

(Acosx + Bsinx)² - (Bcosx + Asinx)² ← expand factors using FOIL

= A²cos²x + 2ABsinxcosx + B²sin²x - (B²cos²x + 2ABsinxcosx + A²sin²x)

= A²cos²x + 2ABsinxcosx + B²sin²x - B²cos²x - 2ABsinxcosx - A²sin²x

= A²cos²x - Bcos²x + B²sin²x - A²sin²x ← factor first/second and third/fourth terms

= cos²x(A² - B²) - sin²x(A² - B²) ← factor out (A² - B²) from each term

= (A² - B²)(cos²x - sin²x)

= right side ⇒ proven

Consider the triangle. Which statement is true about the length of the sides?
Each side has a different length.

Two sides have the same length, which is less than the length of the third side.

The three sides have the same length.

The sum of the lengths of two sides is equal to the length of the third side.

Answers

Answer:For this case we observe that the 2 angles of the triangle are equal. Also, we have by definition:

A triangle is , when the three sides are connected(in addition, the three internal angles measure 2 angles 45 degrees and 1 angle 90

Step-by-step explanation:

f(x)=5(1+0.25)^x,f(4)

Please show step by step of how you got the answer

Answers

Answer:

f(4) = 12.2

Step-by-step explanation:

we are given that x = 4, plug in 4 into the equation

f(4) = 5(1+0.25)^(4)

f(4) = 5(1.25)^(4)

raise 1.25 to the 4th, which is equal to 2.44

f(4) = 5(2.44)

f(4) = 12.2

Answer:

12.20703125

Step-by-step explanation:

Given that f(x) = x2 + 5x + 6 and g(x) = x + 2, find (fºg)(x) and
express the result in standard form.
US

Answers

Answer:

[tex](f\circ g)(x)=x^2+9x+20[/tex]

Step-by-step explanation:

We have the two functions:

[tex]f(x)=x^2+5x+6\text{ and } g(x)=x+2[/tex]

And we want to find:

[tex](f\circ g)(x)[/tex]

This is equivalent to:

[tex](f\circ g)(x)=f(g(x))[/tex]

Therefore, we will have:

[tex]f(x+2)[/tex]

By substitution:

[tex]f(x+2)=(x+2)^2+5(x+2)+6[/tex]

Simplify. Square and distribute:

[tex]f(x+2)=(x^2+4x+4)+(5x+10)+6[/tex]

Rearrange:

[tex]f(x+2)=(x^2)+(4x+5x)+(4+10+6)[/tex]

Combine like terms:

[tex]f(x+2)=(f\circ g)(x)=x^2+9x+20[/tex]

As an estimation we are told £3 is €4.
Convert €24 to pounds.

Answers

Answer:

18 pounds

Step-by-step explanation:

assuming a 3:4 rate

24 Euros is

24/4 * 3 = 18 pounds

The solution is £ 18

The value of €24 in pounds is 18 pounds or £ 18

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the value of £3 be = €4

So , the equation will be

The value of €1 = £ ( 3/4 )

So , the value of €24 is calculated by the equation

The value of €24 in pounds = value of €1 x 24

Substituting the values in the equation , we get

The value of €24 in pounds = £ ( 3/4 ) x 24

The value of €24 in pounds = £ 3 x 6

The value of €24 in pounds = £ 18

Therefore , the value of €24 in pounds is £ 18

Hence , The value of €24 in pounds is 18 pounds or £ 18

To learn more about equations click :

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LaTeX: \frac{25}{35} 2535 in simplest form is _______

Answers

Answer:

:] go 2 circle's to the right and go to circles to the left

Step-by-step explanation:

you'll get the right answer, it works good

13
A local business is calculating the total profit made f(x) after selling
x cupcakes. The business would like to predict their profit by creating an equation for the function.

Write an equation that models the total profit for the business below.
​Drag and drop the numbers into the boxes to create the function's equation. Not all numbers listed will be used.

x | f(x)​​
_____
3 | -5
7 | -2
11 | 1
15 |4
(it won’t allow me to send another pic with the chart so i hope this helps. & the picture i did attach are the things you have to use to create the problem it has to be in the form f(x) = _ x + _

Answers

Answer:

The required equation is: [tex]\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}[/tex]

Step-by-step explanation:

We need to find equation from the table given

x     f(x)

3     -5

7     -2

11     1

15    4

We can write equation in the form of [tex]y=mx+b[/tex]

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table we have: [tex]x_1=3, y_1=-5, x_2=7, y_2=-2[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}[/tex]

So, we get slope [tex]m=\frac{3}{4}[/tex]

Now, finding y-intercept

Using the slope [tex]m=\frac{3}{4}[/tex] and point (3,-5) we can find y-intercept

[tex]y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}[/tex]

The y-intercept is [tex]b=\frac{-29}{4}[/tex]

So, the equation having slope [tex]m=\frac{3}{4}[/tex] and y-intercept [tex]b=\frac{-29}{4}[/tex] will be:

[tex]y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}[/tex]

The required equation is: [tex]\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}[/tex]

four and seventy-two thousandths

Answers

Answer:

4.072

Step-by-step explanation:

Answer:

72,004

Step-by-step explanation:

Brainliest? Thanks!

During a round of golf, Tim's score on hole eights is -7. After hole eighteen, Tim's score increases by 18. What is Tim's score after whole eighteen? show your work​

Answers

Answer:

man went from 7 under to 11 over. tuff. its 11

Step-by-step explanation:

Marsha Lynch opened a savings account on January 1st with a lump sum $625.00 deposit. Interest is compounded on a quarterly basis at a rate of 5.7%. What is her balance at the end of 2 years?

Answers

Answer:

698.28

Step-by-step explanation:

Ms Lucas has 9 cases of crayon with 52 boxes in each case Ms Bruns has 6 cases of crayon with a 104 in each case How many boxes of crayons do both teachers have? Use RDW strategy to solve.Write your answer as a statement.

Answers

Answer:

1092

Step-by-step explanation:

Step one:

given data

Ms Lucas has 9 cases of crayon with 52 boxes in each case

total crayon is

9*52= 468

Ms Bruns has 6 cases of crayon with a 104 in each case

total crayon is

6*104= 624

The total crayon is

468+624= 1092

Determine the slope of
the line that passes
through (2,5) and (3, 7).

Answers

Answer:

1/2

Step-by-step explanation:

A customer purchased a total of 10 hats and scarves. Each hat cost $4.50 and each scarf cost $3.00. The customer spent $36.00 all together.

How many hats did the customer buy?

Enter your answer in the box.

Answers

Answer:

The customer bought 4 hats, and 6 scarves.

Step-by-step explanation:

$4.50x4 = $18

$3.00x6 = $18

$18 + $18 = $36!

Please mark "Brainliest"!?

- Pricespidey

treating prostate disease a large study used records from canada’s national health care system to compare the effectiveness of two ways to treat prostate disease. the two treatments are traditional surgery and a new method that does not require surgery. the records described many patients whose doctors had chosen each method. the study found that patients treated by the new method were sig- nificantly more likely to die within 8 years.38

Answers

The cost and the patient's condition are other factors. For instance, a doctor might decide against suggesting surgery if a patient has very bad health because of the potential for additional difficulties. Then, we won't be able to tell if a higher death rate is a result of the therapy or the participants' pre-existing health.

What distinguishes surgical treatment from medicinal treatment? What distinguishes surgical procedures from nonsurgical ones?What Kinds of Practices Are Not Surgical?

Any condition that necessitates a localised treatment, such as surgery or one of the many vascular procedures or radiation methods, is referred to as a surgical disease. A more comprehensive, pharmacological strategy to treat a medical issue is required.

"Non-surgical" treatments are also referred to as "non-invasive" procedures in the cosmetic industry. These techniques don't need cutting the skin or inserting tools into the body, in contrast to "invasive" surgical therapies.

To learn more about Surgical treatment  visit:

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A cylinder shaped container is used to hold watef . This cylinder has a height of 12 inches and a diameter of 7 inches . A spherical ball with a diameter of 6 inches is dropped into the container . Explain how the ball changes the volhme of the water the container can hold and calculate the amount of water the cylinder can hold after the ball is dropped into the cylinder . Let pi = 3.14

Answers

Answer:

423.9 inches³

Step-by-step explanation:

First we will calculate the volume of the cylinder using the formula

Vc = hπr²

Vc = 12π(3.5)²     [radius is 1/2 diameter]

Vc = 147π

Next we calculate the volume of the sphere using 4/3*πr³

Vs = 4/3 πr³

Vs = 4/3π3³

Vs = 12π

Finally, we subtract the volume of the cylinder by the volume of the sphere to get the remaining volume in the cylinder that can be filled with water.

147π - 12π = 135π

Using the approximate 3.14, the answer is 423.9 inches³

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