Dr. Concha Gómez is an Italian, Cuban American who received a Ph. D. in Mathematics at the University of California at Berkeley. Dr. Gomez currently works at the University of
Wisconsin where she teaches her students how to find the solutions to a quadratic function. To start, she asks her students to find the factors for the quadratic expression,
7z^2 -38z + 15.
Select the factors of this quadratic expression.

Answers

Answer 1

Answer:

7z - 3 and z - 5

Step-by-step explanation:

Answer 2

The factors of the given quadratic expression is (z-5((7z-5).

The given quadratic expression is 7z² -38z + 15.

What is the quadratic expression?

An expression of the form ax² + bx + c, where a ≠ 0 is called a quadratic expression. In other words, any expression with the variables of the highest exponent or the expression's degree as 2 is a quadratic expression.

The given quadratic expression 7z² -38z + 15 can be solved as follows:

Using spitting middle term

7z² -35z-3z + 15

= 7z(z-5)-3(x-5)

= (z-5((7z-5)

Therefore, the factors of the given quadratic expression is (z-5((7z-5).

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Related Questions

15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:

Answers

Answer:

y=2x-1

Step-by-step explanation;

First step you have to do is get you desmos graphing calculator

input the equation- 1/2x+4 when you put it you get your line

from there you have to find one of the equations from the answer choices which one is parallel from there input your four answer choices on your graphing calculator then look which of the equations is parallel to the equation -1/2x+4 when you do that you get y=2x-1

Hope this helps :)

A recipe for pizza dough calls for 3 teaspoons of salt for every 4 cups of flour how many teaspoons of salt will be needed for 28 cups of flour.

Please show a tape diagram for this too

Answers

Its gonna be 7, im not sure how i can provide a tape diagram

Hello! I need help ASAP. Can anyone help please?
(reward: 19 points, brainliest, 5 rating)

Two groups of people need to get across a lake. The first group has 36 people. Its boats can carry 5 passengers. The second group has 24 people. Its boats can carry only 4 passengers.

Which group needs more boats?
follow the steps to solve the problem.

1. Group 1 is represented by the equation 5x = 36. Solve this equation for x. Show your work.

2. How many boats does group 1 need? Explain your answer.

3. Write and solve an equation to find how many boats group 2 needs. Show your work.

Answers

Answer:

Both groups need more boats

1.) 5x=36

36/5

=7.2 boats

2.) 7.2 but you can't split a boats nor can you decrease the amount of people so 8 boats.

3.)4x=24

24/4

=6 boats

I hope this helps u :)

At a college bookstore, Tanisha bought a Math Textbook and a Novel for $54. If the price of the Math Textbook is $8 more than 3 times the price of the Novel, then how much is the price of each book?

Answers

Answer: Price of Math Textbook= $42.5,  Price of the Novel= $11.5

Step-by-step explanation:

Let x = price of the Novel.

Price of Math Textbook = 8+3x

As per given , we have

Price of Math Textbook + Price of the Novel = $54

⇒ 8+3x+x = 54

⇒ 8+4x=54

⇒ 4x = 46     [subtract 8 from both sides]

⇒ x = 11.5

Price of Math Textbook = 8+3(11.5) = 8+34.5= $42.5

Hence, Price of Math Textbook= $42.5,  Price of the Novel= $11.5

Please help me I need an answer fast

Answers

roughly 37.5 but 37.3 should work

help plsssssssss. cm.

Answers

It is -2.1 cm

Hope this helps

Dianne went to the grocery store and bought 4 pounds of chicken at $3 per pound, 5 cans of green beans at $0.88 each and 2 pounds of potatoes at $1.80 per pound. If she paid with a . $50 bill, how much change will Dianne have?​

Answers

Answer:

30 dollars is the amount of change she will have

Answer:

$30 is the amount of change she will have.

Step-by-step explanation:

Your family goes out for dinner on Sunday night. If the total bill came out to $175 but your parents had a 20% off coupon. How much will the entire meal cost if you also must pay 8% sales tax and a 18% tip?

Answers

Answer:

Step-by-step explanation:

175-20%= 35 off

175-35=140

140*8% tax= 11.20 tax

140+11.20= 151.20

151.20*18% tip= 27.216

151.20+27.22=178.42 total

tom started his hike at 2:15pm. he arrived at his destination at 4:30pm. how long did he hike??

Answers

Answer:2:15 minutes is how long he hiked

Step-by-step explanation:

Answer: 2 hours and 15 minutes

Step-by-step explanation:

What is the coefficient of q in the sum of these two expressions?
(23q – 34) and (–16q – r)

A. 2/3
B. 3/4
C. 1/2
D. 1

Answers

answer:

1/2 bc 2/3-1/6 is equal to 4/6-1/6=3/6.

3/6=1/2

Step-by-step explanation:

love the oikawa pfp

The coefficient of {q} in the sum of the given expressions is 7.

What is expression?

A mathematical expression is a combination of terms both constants and variables. For example, we can write -

2x + 3y + 5

4x + 5

Given are the expressions as -

(23q – 34) and (–16q – r)

We can write the sum of the given expressions as -

(23q – 34) + (–16q – r)

(23q - 16q) - r - 34

7q - r - 34

Here -

(7)q - r - 34

(7) is the coefficient of {q}.

Therefore, the coefficient of {q} in the sum of the given expressions is 7.

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Work out the value of x! Will award brainiest

Answers

Answer:

X=67.5

Step-by-step explanation:

90+X +3x =360

4x=360-90

X=270/4=67.5

a rectangle has vertices (0,0), (2k,0) and (0,k) find the fourth vertex

Answers

(2k,k)

Since it is at the same x-axis as (2k,0) and the same y-axis as (0,k), that is the answe

If a rectangle has vertices (0,0), (2k,0), and (0,k)  the fourth vertex will be (4,8).

What is a rectangle?

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is given that the rectangle has vertices (0,0), (2k,0), and (0,k).

A(0,0)
B(2k,0)

C(0,k)

D(x,y)

Since the opposite of the rectangle is the same it will be opposite to one of the coordinates shown in the graph.

To uniquely identify points on a plane, use ordered pairs and the rectangular coordinate system (x,y). Pairs that are ordered show position in relation to the origin.

The x-coordinate shows the left and right sides of the origin. Y-coordinate positions are above or below the origin.

Thus, if a rectangle has vertices (0,0), (2k,0), and (0,k)  the fourth vertex will be (4,8).

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Can someone please help me with this

Answers

Answer:

Yes

Step-by-step explanation:

Because I can assist you hit my inbox

Answer:

help you with what?

Step-by-step explanation:

post the question and I am probably 90% sure I can answer it for you I just need to know what the question is . if you've already got it done then no need to answer back .

One ninth of the students in Mr. Beck’s class list red as their favorite color. Twice as many students call blue their favorite, and three times as many students prefer pink. The rest name green as their favorite color. If 6 students call blue their favorite color, how many students are in Mr. Beck’s class?

Answers

Answer:

27

Step-by-step explanation:

this is because 6 students is 2/9th of the class and if we divide that by two we get 3. 3 is 1/9th od the class so we multiply it by 9 to get 27 which is how many students should be in his class if i am right

Which polynomials have 2 roots

Answers

Answer:

Option D

Step-by-step explanation:

Option A

x² - 3x² + 2x² = 0

Therefore, the given polynomial has no roots.

Option B

x² + 2x + 8

By quadratic formula,

x = [tex]\frac{-2\pm \sqrt{4-32} }{2}[/tex]

  = [tex]\frac{-2\pm \sqrt{-28} }{2}[/tex]

Therefore, roots are imaginary and for a polynomial with degree 1 or more than 1, both the roots can't be imaginary.

So the polynomial can't have exactly two roots.

Option C

99x³ - 33x + 1

Since the polynomial is of degree 3, so it will have three roots.

Therefore, the polynomial will not have exactly 2 roots.

Option D

√2x - 3x² + 7√2

By quadratic formula,

x = [tex]\frac{-\sqrt{2}\pm\sqrt{(\sqrt{2})^2-4(-3)(7\sqrt{2} )}}{2(-3)}[/tex]

x = [tex]\frac{-\sqrt{2}\pm\sqrt{2+84\sqrt{2} )}}{(-6)}[/tex]

There are exactly two real roots.

Therefore Option D is the answer.

Option E

4x + 11x - 111

Since this polynomial is of a degree 1.

There will be only one root.

Please helpppp !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

6.3

Step-by-step explanation:

7squared - 3squared

49-9= 40

square root of 40 = 6.3

can someone please help me with this whole page asap !!!

Answers

what answers do u need

Alejandro uses the steps below to convert StartFraction 5 over 8 EndFraction to a percent. Five-eighths right arrow 8.0 divided by 5 = 1.6. 1.6 = 160 percent. Which best explains Alejandro’s error? The division was computed incorrectly. The division was completed in the incorrect order. The decimal was moved to the right too many times. The decimal was moved to the right instead of the left.

Answers

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

7) let f(x)=2x squared - 5x +9
find a, b, and c
a) 1, 5, and 9
b) 2,- 5, and 9
c) 0,5, and 9
d) none of these answers is correct.

Answers

Answer:

a

Step-by-step explanation:

ITS RIGHT

Determine if the pair of lines are parallel perpendicular or intersecting

Answers

Answer:

1. y= 2/3x + 4, and y = 2/3x - 1 are parallel

2. y = 1/3x - 3  and y = 2x + 5 are perpendicular

3. y =2/5x +4 and y = 0.2x - 1 are intersecting

4. y = -x + 13 and y = x-14 are perpendicular

Step-by-step explanation:

The equation of lines are solved and parallel lines are

a) y = 2/3x + 4 , y = ( 2/3 )x - 1

Perpendicular lines , y = -( 1/2 )x - 3 , y = 2x + 5

Intersecting lines

a) y = ( 2/5 )x + 4 , y = 0.2x - 1

b) y = -x + 13 , y = x - 14

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

y = 2/3x + 4 , y = ( 2/3 )x - 1

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = 2/3

So , the slopes of the two lines are same and they are parallel lines

And , y = -( 1/2 )x - 3 , y = 2x + 5

The slopes are negative reciprocals of each other , so they are perpendicular lines

Now , the intersecting lines are a) y = ( 2/5 )x + 4 , y = 0.2x - 1

b) y = -x + 13 , y = x - 14

Hence , the equation of line is solved

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if f(x)=9x-2 find the value of expression f(5)

Answers

Answer:

f(x)=43

Step-by-step explanation:

you put the 5 in the places where the x is so

F(5)=9(5)-2

45-2=43


Twice the square of a number is less than another number. Negating the square of that number and adding 5 causes
it to be larger than the other number. Which represents the solution set?

Answers

Answer:

d

Step-by-step explanation:

took it on edg

The graph d represents the solution set of the inequalities 2x^2 < y and -x^2 + 5 > y

How to represent the solution set?

First, we represent the mathematical statements as an equation or inequalities

Mathematically, the statements in the questions are:

2x^2 < y-x^2 + 5 > y

Where x and y represents the two numbers

So, we plot the graphs of 2x^2 < y and -x^2 + 5 > y

The graph d represents the solution set of the inequalities 2x^2 < y and -x^2 + 5 > y

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A company makes steel rods shaped like cylinders. Each rod has a radius of 2 centimeters and height of 70 centimeters. How much steel will the company need to make 243 rods? Use 3.14 for pie, and round your answer to one decimal

Answers

Answer:

213,645.6cm³

Step-by-step explanation:

Area of a cylinder is expressed as;

V = πr²h

r is the radius = 2cm

h is the height = 70cm

Get the volume of one rod;

V = πr²h

V = (3.14)(2)²(70)

V = (3.14)(4)(70)

V = 879.2cm³

one steel = 879.2cm³

243 rods = x

Cross multiply;

x = 879.2 * 243

x = 213,645.6

The company will need 213,645.6cm³ volume of steel to make 243 rods

The Dubois family has $5000 set aside for an upcoming vacation in the family plans to spend 1/4 of this amount on gasoline for the drive and motel rooms along the way and 1/2 of the remainder on meals how much does the Dubois family spend on meal

Answers

Answer:

$1875

Step-by-step explanation:

Money available with Dubois family = $5000

Money to be spent on gasoline and motel room = [tex]\frac{1}{4}[/tex] of the total amount

Therefore,

Money to be spent on gasoline and motel room = [tex]\frac{1}{4} \times 5000 = \$1250[/tex]

Remaining amount of money = Total amount - Money spent on gasoline and motel room  

Remaining amount of money = $5000 - $1250 = $3750

As per question statement:

Half of the remaining money is to be spent on meals.

i.e. Money to be spent on meals = [tex]\frac{1}{2}\times \$3750 = \bold{\$1875}[/tex]

Therefore, the answer is:

$1875

Raju took 5/6 h to complete his mathematics homework. He took 1/5 h less to complete his english homework. how many hours did raju take to complete his english homework? what was the total time spent by raju on his homework?

Answers

Answer:

English homework = 19/30h or 38 minutes

Total time spent = 22/15h or 88 minutes

Step-by-step explanation:

Mathematics homework = 5/6h

= 5/6 × 60

= 300/6

= 50 minutes

He took 1/5 h less to complete his english homework.

English = 5/6h - 1/5h

= 25h-6h/30

= 19/30h

= 19/30 × 60

= 1,140/30

= 38 minutes

English homework = 19/30h or 38 minutes

Total time spent on his homework = mathematics homework + English homework

= 5/6h + 19/30h

= 25h+19h/30

= 44/30h

= 22/15h

= 22/15 × 60

= 1,320 / 15

= 88 minutes

find the length of x and y

Answers

Answer:

x = 10.296

y = 5.831

Step-by-step explanation:

You can use the Pythagorean theorem to solve the triangles shown in various ways.

9²+5²=x²

x = 10.296

5²+3²=y²

y = 5.831

Abdul buys dress pants from a clothing Company for P dollars he sells each pair of pants in his men's clothing shop at 40% markup select all the expressions below represent the new retail price of a pair of dress pants

Answers

Answer:

$P + 0.4P or 1.4P

Step-by-step explanation:

Given that:

Cost of dress pants = $P

Markup on cost price = 40%

The new retail price of a pair of dress pant :

(Cost price of the dress pant + markup on cost price)

$P + 40% of P

$P + 0.4P

New retail price = $P + 0.4P = 1.4P

Shanice won 88 pieces of gum playing the bean bag toss at the county fair. That was 4 more than twice as many as Greg. How many pieces of gum did Greg win?

Answers

Answer:

20 students

Step-by-step explanation:20 students cos 88 divided by 4 =22 and it said she had 8 left so 20 student in her class

There are 20 kids in her class. 88-8 = 80 80 divided by 4 = 20

find the answer and when you find it you get 10 point.

Answers

Answer:

5

Step-by-step explanation:

Somebody help me.. Make sure it's right.

Answers

I am the one who commented on your question "Who's good at Math", I am the locrival one to be specific but for me, the answer would be the first choice which is the "f(x)=400+15(x-40)". The first choice is my answer because if you compute it the equivalent is 13.3, it is also my answer because for all the choices, it is the only one positive.

Brainliest? Thanks!
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