Factor and find the zeros. z^2-z+56

Answers

Answer 1

Answer:

Sry its long but if your to lazy to look thru it here is the answer=   z = {-7, 8}

Step-by-step explanation:

Simplifying

z2 + -1z + -56 = 0

Reorder the terms:

-56 + -1z + z2 = 0

Solving:

-56 + -1z + z2 = 0

Solving for variable 'z'.

Factor a trinomial.

(-7 + -1z)(8 + -1z) = 0

Subproblem 1

Set the factor '(-7 + -1z)' equal to zero and attempt to solve:

Simplifying:

-7 + -1z = 0

Solving:

-7 + -1z = 0

Move all terms containing z to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + -1z = 0 + 7

Combine like terms: -7 + 7 = 0

0 + -1z = 0 + 7

-1z = 0 + 7

Combine like terms: 0 + 7 = 7

-1z = 7

Divide each side by '-1'.

z = -7

Simplifying:

z = -7

Subproblem 2

Set the factor '(8 + -1z)' equal to zero and attempt to solve:

Simplifying:

8 + -1z = 0

Solving:

8 + -1z = 0

Move all terms containing z to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + -1z = 0 + -8

Combine like terms: 8 + -8 = 0

0 + -1z = 0 + -8

-1z = 0 + -8

Combine like terms: 0 + -8 = -8

-1z = -8

Divide each side by '-1'.

z = 8

Simplifying:

z = 8

Solution

z = {-7, 8}


Related Questions

PLS HELP ME I CANT DO IT AND JMBEING TIMED

Answers

Answer:

For A+B

a. 0.3+0.8 = 1.1

b. 1.2+1.4 = 2.6

c. 3.4 + 4.2 = 7.6

d. 2.25 + 2.95 = 5.20

For B-A

a. 0.8-0.3 = 0.5

b. 1.4-1.2 = 0.2

c. 4.2-3.4 = 1.2

d. 2.95-2.25 = .070

Volunteer drivers are needed to bring ​24 students​ to the championship baseball game. Drivers either have cars, which can seat ​4 students​, or vans, which can ​seat 6 students​. There is a​ total of 5 cars and vans​.

Answers

Answer:

34

Step-by-step explanation:

you invest $4500 into an interest earning account that compounds daily at 5%.How much will you have in 6 years.How much interest will you earn​

Answers

Answer:

4500*1.05^(365*6) = 1.1422929e+50

A recipe calls for 1 1/2
teaspoons of cinnamon to make 2 oatmeal cookies.

How many teaspoons
of cinnamon are needed to make 60 oatmeal cookies?

Answers

Answer:

45

Step-by-step explanation:

There are 240 students going on a field trip each school bus can hold 48 students complete the equation to show which operation to use and how many school buses are needed then complete the sentence to explain your reasoning

Answers

if you calculate 240/48, you will get 5 without any remainder, which means if you get 5 buses it can exactly take all students?

Evaluate the expression 9x for x= 2.
9x = when x = 2.
(Simplify your answer.)

Answers

Plug in 2 for x so 9x when x=2 is 9(2) nine times two is
18

Consider these three squares with known area 25, 144,169

Answers

Answer:

Step-by-step explanation:

three squares with known area 25, 144,169...

1) area of the square =25

Side ×side=25

Side^2=25

Side=√25

Side =5.

Answer is 5.

2) area of the square =144

Side ×side=144

Side^2=144

Side=√144

Side =12

Answer is 12.

3)area of the square =169

Side ×side=169

Side^2=169

Side=√169

Side =13

Answer is 13.

The two boxes shown are cuboids.
20 cm
4 cm
30 cm
3 cm
50 cm
10 cm
Work out how many of the smaller boxes you would need
to completely fill the larger one.

Answers

Answer:

250.

The area of the larger box is 30,000 cm squared. Once you find the total area of the small box, divide that by the area of the larger box and you have your answer.

Answer:

205

Step-by-step explanation:

To estimate a proportion of students with a grade point average of 3.7 and higher in a college, a random sample of 200 students was taken and the number of successes counted to be 35. The 95% confidence interval for a population proportion is:

Answers

Answer: [tex](0.1481323,\ 0.2018677)[/tex]

Step-by-step explanation:

The confidence interval for population proportion :

[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] , where n= sample size, [tex]\hat{p}[/tex] = sample proportion , z*= Critical  z-value.

Let p = population proportion of successes.

Given: n= 200 , [tex]\hat{p}=\dfrac{35}{200}=0.175[/tex]

Critical z value for 95% confidence = 1.96

The 95% confidence interval for a population proportion is:

[tex]0.175\pm (1.96)\sqrt{\dfrac{(0.175)(1-0.175)}{200}}\\\\=\ 0.175\pm (1.96)\sqrt{0.000721875}\\\\= 0.175\pm (1.96)(0.0268677)\\\\=(0.175-0.0268677,0.175+0.0268677)\\\\= (0.1481323,\ 0.2018677)[/tex]

Required confidence interval: [tex](0.1481323,\ 0.2018677)[/tex]

Cuánto le falta a 3/5para llegar a 9/10

Answers

Answer:

3/10

Step-by-step explanation:

3/5 se puede convertir en 6/10

(3x2)/(5x2).

9/10 - 6/10 = 3/10

le falta 3/10 para llegar a 9/10.

How many ?!!!!
?!!!
?!!

Answers

15

hope this helps you alot☺✌❤

6. In his car, John can drive 75 miles on 5 gallons of gas. He drove
825 miles to visit his sister, how many gallons of gas did he use?

Answers

Answer: 55 Miles

Step-by-step explanation:

75x11=825

11x5=55

2. Joanne's car insurance is reduced by 10% for each year that she has not had an
accident.
The normal cost of her insurance is £420 but she has a 3-years' no claims bonus.
How much is her insurance?​

Answers

Answer:

220

Step-by-step explanation:


13. (a) A man bought two books for Rs 1040. He sold one at a loss of 15% and other at a profit of 36%
then he found that each book was sold for the same price. Find the cost price of each book.
(b) Shastika bought two watches for R's​

Answers

Answer:

Let the price of one book be Rs. x

price of next book is = 1040 - X

C.P of 1st book is Rs. x

Loss = 15%

S.P of 1st book = 85x / 100

C.P of 2nd book = 1040 - X

Profit = 36%

S.P of 2nd book = (1040 - x × 136)/100

(85x)/ 100 - (1040 - x × 136) / 100

85 x= 1040 x 136 - 136 x

85 x + 136 x= 1040 × 136

221 x = 1040 x 136

X = (1040 x 136) / 221

X = 640

So, Cost price for 1st book is 640 Rs. and 2nd book is 1040 - 640 = 400 Rs.

What are the partial products that result from multiplying 17*32?

Answers

Answer:

544

Step-by-step explanation:

What is the approximate ratio of the difference in means to the MADs of the data sets? 4 6 7 31

Answers

Answer: The answer is 6

Step-by-step explanation:

Edginuity

Answer:

B: 6

Step-by-step explanation:

edg2020

Simplify
92
97

1. 95
2.1/99
3.1/9-5
4. 1/95

Answers

Answer:

D : 1/9^5

Step-by-step explanation:

you would first start off by subtracting the powers ( 7-2 ), which gives us 5. That then gives you 9^5, however, 9^5 gives you 59049, and the original problem's answer was 1/59049. When you divide 1 by 9^5, you get 1/59049, which is the same as the original answer.

How do I solve problems like

5 + 2y = 1

Answers

Answer:

y=-2

Step-by-step explanation:

its like in the paper sorry it if crops out

Every 125 pages that Raul reads during his summer reading challenge, he will collect 5 book points to use at his local library. Which graph models a relationship with the same unit rate?

Answers

Answer:

The answer is "[tex]\frac{1}{25}[/tex]"

Step-by-step explanation:

They might claim that perhaps the ratio to Raul would've been:[tex]\frac{y}{x} = \frac{5}{125} = \frac{1}{25}[/tex] per each 125(x) page, which he reviewed throughout a summer competition.

Raul's cost per unit for each paragraph reads is [tex]\frac{1}{25}[/tex] page points, that's why the model a link with the same unit rate. please find the graph in the attached file.

If there are 7 girls and 8 boys on the school’s track team, what is the ratio of girls to boys? how would I answer in three different ways.

Answers

Answer:

7:8

7 to 8

7/8

Step-by-step explanation:

Answer:

49:56

7/8

.875

Step-by-step explanation:

Here's 3 different ways

Ezra wants to buy a toy car that was 50% off. The original price is $4. How much will Ezra pay if he buys it during the sale?​

Answers

Answer:

She will pay $2.

Step-by-step explanation:

During the summer months, the prices of nonsmoking rooms with a king-sized bed in hotels in a certain area are roughly Normally distributed with a mean of $131.80 and a standard deviation of $29.12. A travel agent randomly selects prices of nonsmoking rooms with a king-sized bed from 15 hotels in the area. What is the probability that their average cost will be more than $150?
a) 0.0077
b) 0.3678
c) 0.2660
d) 0.1125

Answers

C

If you have a graphing calculator, go to 2nd vars, normalcdf(.

Put 150 for the lower bound and 99999999 for the upper bound. You want to know the probability of all the values over 150. Put 131.8 for the mean and 29.12 for the standard deviation. Click paste.

Your answer will be .266

hvfygcicgdigcigcicticigcdbgvbug​

Answers

Answer:

This is a hw site pls dont post this, if you dont need help. I dont want your account to be deleted. :) Hope u have a great day tho, but in the future dont post this.

Step-by-step explanation:

a rectanguluar parking lot has a length that is 5 yards greater than the width the area of the parking lot is 300 square yards find the length and the width use formula area =length * width the -parking lot width is of yards is? the length is?

Answers

Answer:

Required Answer:-Area=300yards^2

Let

Breadth =x

length=x+5

As we know that in a rectangle

[tex]{\boxed{\sf Area=lb}}[/tex]

Substitute the values

[tex]{:}\longrightarrow[/tex][tex]\sf x (x+5)=300[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x^2+5x=300 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x^2+5x-300=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x^2+20x-15x-300=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x (x+20)-15 (x+20)=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf (x+20)(x-15)=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x+20=0\:or\:x-15=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=-20 (Impossible)\:or \;x=15 [/tex]

Width=15yardsLength=15+5=20yards

8x + 13x

PLEAsE HLEP ME SLOVE THIS PLEASE SHOW WORK TO? THANK YOU

Answers

Answer & Step-by-step explanation:

Since they are like terms (meaning they are in the same form), you can add:

[tex]8x+13x=21x[/tex]

:Done

I need the answer
I don't need you to make it a whole paragraph

Answers

Answer:

3

Step-by-step explanation:

Answer:

3 cups

Step-by-step explanation:

A. 0.75s+0.4t=980

B. 0.75s-0.4t=980

C. 0.75s+0.04t=980

D. 0.75s-0.04t=980

Answers

c is the correct answer

Write the equation of the green line.

Answers

Y=-1/2x+2 is the correct answer in slope intercept form:)

Answer:

y = -1/2x + 2

Step-by-step explanation:

Let the equation of the green line be y = mx + c

From the graph, (-6, 5) and (0, 2) are 2 points on the green line.

m = (2-5)/(0-(-6)) = -1/2 (using gradient/slope formula)

sub (0, 2) and m = -1/2:

2 = -1/2(0) + c

2 = c

therefore,

equation of the line: y = -1/2x + 2

which statement about 3/4 multiplied by 16/5 is true?

A. The product is greater than 5
B. The product is less than 3/4
C. The product is between 3/4 and 16/5
D. The product is between 16/5 and 5

Answers

Answer:

Option c

Step-by-step explanation:

3/4 multiplied by 16/5

3/4×16/5

12/5

Option c is correct

The product between 3/4 and 16/5

The figure below shows two triangles on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x axis and from positive 6 to negative 6 on the y axis. A triangle ABC is shown with vertex A on ordered pair 4, 1, vertex B on ordered pair 3, 1, and vertex C on ordered pair 3, 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 4, 4, vertex B prime on ordered pair negative 3, 4, and vertex C prime on ordered pair negative 3, 1. What set of transformations is performed on triangle ABC to form triangle A′B′C′? (5 points) A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin A translation 5 units down, followed by a 270-degree counterclockwise rotation about the origin A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units down

Answers

Answer:

A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin

Step-by-step explanation:

Plz mark as Brainliest!

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