7z2−38z+15 Select the factors of this quadratic expression.

Answers

Answer 1

Answer:

(7z-3)(z-5)

Step-by-step explanation:

7z^2-38z+15

(7z-3)(z-5)

Answer 2

Answer:

(z - 5)(7z - 3)

Step-by-step explanation:

Given

7z² - 38z + 15

Consider the product of the factors of the coefficient of the z² term and the constant term which sum to give the coefficient of the z- term

product = 7 × 15 = 105 and sum = - 38

The factors are - 35 and - 3

Use these factors to split the z- term

7z² - 35z - 3z + 15 ( factor the first/second and third/fourth terms )

= 7z(z - 5) - 3(z - 5) ← factor out (z - 5) from each term

= (z - 5)(7z - 3) ← in factored form


Related Questions

Fourteen of the people signed up for the ski classes are beginners. If 56% of those signed up are beginners, how many people signed up for classes?

Answers

Answer:

25

Step-by-step explanation:

An unknown number of people signed up for the class. Let the total number of people who signed up be x.

56% of the people who signed up are beginners. 14 people are beginners.

That means that

56% of the people who signed up is 14 people.

56% of x = 14

56% * x = 14

0.56x = 14

Divide both sides by 0.56.

0.56x/0.56 = 14/0.56

x = 25

Answer: 25

what is the solution to y=2x+3 y=3x+3

Answers

(2,7) is the solution which is the same as x=2, y=7
If the problem you are trying to ask is a simultaneous equation, the solution is:

( x, y )= ( 0, 3 )

2+2= 4 because there is too two's and there for it =4

Answers

Answer:

Yes, that is correct. Congrats 7 year old.

Step-by-step explanation:

2 plus 2 equals 4

:)

thanks for points

Divide using any method 2x^2+5x+1 ÷ X+3​

Answers

Question:

Solve the equation 2x2−5x+3=0 by the method of completing square.

Answer:

We have,

2x2−5x+3=0

⇒x2−25x+23=0 (Dividing throughough by 2)

⇒x2−25x=−23 (Shifting the constant term on RHS)

⇒x2−2(45)x+(45)2=(45)2−23 (Adding (21Coeff.ofx)2 onboth sides)

⇒(x−45)2=1625−23⇒(x−45)2=16

I don’t know this some one please help

Answers

Answer:

A

Step-by-step explanation:

Antonia: 150 x 12 + 4,500 = 6,300

Cal: 250 x 12 + 3,400 = 6,400

Given: RST, RS = 15, ST = 20, and TR = 29
Which inequality correctly compares the measures of the angles of RST?

Answers

Answer:

can i see a picture?

4 of 5
Sarah, Fiona and David share £40 in a ratio 3:3:2. How much
money does each person get?
Sarah: £
Fiona: £
David: £

Answers

Answer:

Sarah: £15

Fiona: £15

David: £10

Step-by-step explanation:

3 + 3 + 2 = 8

40 ÷ 8 = 5

3 × 5 = 15

3 × 5 = 15

2 × 5 = 10

ABCD is a parallelogram. If mZCDA = 63, then mZABC = _?_ The diagram is not to scale.

Answers

Answer:

b. 63

Step-by-step explanation:

A Parallelogram is known to be a flat shape quadrilateral which has four opposite sides Each two opposite sides are parallel and are equal in length. The opposite angles are equal.

The above answer is correct because opposite angles of a parallelogram are equal:

m∠CDA = m∠ABC

where m∠CDA = 63

∴ m∠ABC = 63 (answer)

Over what interval is f(x) negative? Justify your answer.

Answers

Answer in interval notation is  (-3, 1)

This is the same as saying -3 < x < 1

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

Explanation:

Since y = f(x), this means we're looking for points on the red curve such that they have a negative y coordinate. Visually, we're looking for points that are below the horizontal x axis.

These points are shown in the diagram below. I've marked the section we're after in blue. This blue section spans from x = -3 to x = 1. We exclude both endpoints because each x value leads to f(x) = 0, but we want f(x) values smaller than zero.

help pls. Question 4(Multiple Choice Worth 1 points)
(01.05 MC)
Which shows the expressions in the order they would appear on a number line from least to greatest?

Answers

Answer:

Second choose

Step-by-step explanation:

We know that 4^3 is the greatest

And 14/9 is the least

It’s B because the fraction is the least one and the square roots are greater

Below are two similar triangles.
A base= 7 cm
B base= 14cm

The area of triangle A is 20cm^2
Work out the area of triangle B​

Answers

Answer:

Area of B =80

I hope it's helps you

help me pls I'm so confused and this is due in the morning pls help. look at pic​

Answers

I’m not sure but may be the answer is: m= 11

What’s the connection between input and output in this question

Answers

ITS MUltipling by 3 silly its 243

Answer:

243,y = 3^x

Step-by-step explanation:

We can observe that:

3^1 = 33^2 = 93^3 = 273^4 = 813^5 = 243

The rule is:

y = 3^x

Please please please help!! I need this URGENT
Dan buys a car for £2700.
It depreciates at a rate of 1.4% per year.
How much will it be worth in 5 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years

Step-by-step explanation:

Answer:

£

 

2516.22

Step-by-step explanation:

£

 

2516.22

ABC is translated left 3 units to form the image ∆A′B′C′.

What are the coordinates of the vertices of ∆A′B′C′ ?

Enter your answer by filling in the boxes.

Answers

Answer:

The coordinates of triangle A'B'C' are A'(-5,-1) B'(-1,-1) C'(-1,2)

Step-by-step explanation:

Translations

Given a point A(x,y), translating A by h units to the left will map it to A'(x-h,y).

The triangle ABC has coordinates: A(-2,-1) B(2,-1) C(2,2). Then translating the triangle left by h=3 units, the points are:

A'(-2-3,-1) B'(2-3,-1) C'(2-3,2)

A'(-5,-1) B'(-1,-1) C'(-1,2)

The coordinates of triangle A'B'C' are A'(-5,-1) B'(-1,-1) C'(-1,2)

A stainless steel pipe is used as a vent over a restaurant stove. The pipe is 6 feet long and its diameter is 12 inches. The pipe is open at both ends. To the nearest whole number, how many square feet of steel is the outer surface of the pipe?

Answers

Answer: 18 feet

Step-by-step explanation:

Well, first we need to find the circumference because that is the outside of the pipe.

Circumference = 2 x Pi x Radius

Radius is half of diameter.

So we plug in all the values in to the formula.

2 x Pi x 6 inches = Circumference

12Pi = 37.69911184 inches

37 inches to feet = about 3 feet.

3 x 6 = 18 feet.

The line CD passes through the points C (2, -1) and D (1.1). Which of the
following represents the equation of the line in Point-Slope Form?

Answers

Answer:

what

Step-by-step explanation:

Ali, Ben, and Cliff plant seedlings in their neighborhood park. Ali plants 40% of the total number of seedlings, Ben plants 45% of the total number of seedlings, and Cliff plants the rest of the seedlings. If Cliff plants 87 seedlings, how many seedlings do the three boys plant altogether?

Answers

Answer:

580 seedlings altogether.

Step-by-step explanation:

Given that,

Ali plants 40% of the total number of seedlings, Ben plants 45% of the total number of seedlings, and Cliff plants the rest of the seedlings. Cliff plants 87 seedlings.

The percentage of the seedling planted by Cliff = 100% - 45% - 40% = 15%

Let x = the total number of seedlings

[tex]15\%\ of\ x=87\\\\x=\dfrac{87\times 100}{15}\\\\x=580[/tex]

Hence, three boys plant 580 seedlings altogether.

6. Ray Rodriguez will be eligible for retirement benefits in 72 months. How many years remain before Ray
can retire?

Answers

6 calandre years hope y get it correct and mark me brainliest plsssss

solve 8u<35 plz help

Answers

Answer:

u < 35/8

Step-by-step explanation:

u < 35/8 (divide by 8)

Can someone please help me

Answers

9514 1404 393

Answer:

  41.7 nautical miles

Step-by-step explanation:

It can help to draw yourself a diagram. It will show you the desired distance is the hypotenuse of a right triangle with side lengths 36 and 21. The Pythagorean theorem can be used to find the distance of interest.

  d² = 36² +21²

  d² = 1296 +441 = 1737

  d = √1737 ≈ 41.6773

The ship is about 41.7 nautical miles from the starting point.

Solve for a :4a-7=5a+1

Answers

Answer:

A= -8

Step-by-step explanation:

Subtract 5a from both sides.

Combine 4a and −5a to get −a.

Add 7 to both sides.

Finally, Multiply both sides by −1.

Pls mark brainliest.

Answer:

a = -8

Step-by-step explanation:

4a - 7 = 5a + 1

subtract 1 from both sides of the equation

4a - 7 - 1 = 5a + 1 - 1

4a - 7 - 1 = 5a

4a - 8 = 5a

subtract 4a from both sides of the equation

4a - 4a - 8 = 5a - 4a

-8 = 5a - 4a

-8 = 1a

-8 = a

Look at the following numbers:
-6, 0, 6, 12
Which pair of numbers has a sum of O?
O 6, 12
O 0,6
O-6,0
O 6, -6

Answers

Answer: 6,-6

Step-by-step explanation:

Because when you add the same number and one of them is a negative it will always be a zero. For example: (-2+2)= 0

I'm sorry if this didn't help.

Find the slope that contains the points (-1, 4) and (2,6).

Answers

Answer:

slope = 2/3

Step-by-step explanation:

A school is arranging a field trip to the zoo. The school spends 537.57 dollars on passes for 30 students and 3 teachers. The school also spends 290.40 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student

Answers

Answer:

$17.22 was spent on a pass and $8.94 on lunch for each student and that implies a total of $26.16 was spent on each student

Step-by-step explanation:

i need help with this
2(5x+4)=

Answers

4/5


2(5x+4)=

distribute the 2

10x+8=

subtract 8 from both sides

10x=8

divide 10 from both sides

x=8/10

simplify by 2

x= 4/5
Baby Darling is already the answer is 10x+8

are there any maths genius here can help?​

Answers

Answer:

1 》let equal side be X and other side y

now, length of y= 2x sin teta/2

=12.3×sin42/2

=12.3 × sin21

=4.407

Plzzzzzxxzxz hellppppp meeeeeee

Answers

Answer:

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

(1/8)^2 is actually just (1/8)*(1/8)

We multiple the numerators, 1*1, to get 1,

And the denominators, 8*8, to get 64

So the anwser is (1/64)

ILL GIVE BRAINLIEST AND EVERYTHING ELSEEE HELP

Answers

Answer:

Its the second option

Step-by-step explanation:

PLEASE HELP. WILL GIVE BRAINLIEST AND WORTH 60 POINTS.

Solve each equation using substitution. Answers are on the right and questions are on the left.

Answers

Answer:

Q1. No solutionQ2. (5, 6)Q3. Infinitely many solutionsQ4. No solutionQ5. (2, 3)

Step-by-step explanation:

Q1.

y = -1/3x - 1x + 3y = -12

Solution

x + 3(-1/3x - 1) = -12x - x - 3 = -12-3 = -12

No solution

Q2

y = 2x - 4y = x + 1

Solution

2x - 4 = x + 1x = 5y = 6

(5, 6)

Q3

y = -3x + 36x + 2y = 6

Solution

6x + 2(-3x + 3) = 66x - 6x + 6 = 66 = 6

Infinitely many solutions

Q4

- 5x + y = 1- 10x + 2y = -2 ⇒ -5x + y = -1

Solution

1 = -1

No solution

Q5

y = 1/2x + 2y = x + 1

Solution

1/2x + 2 = x + 11/2x = 1x = 2y = 3

(2, 3)

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