Factor the trinomial 7x2 – 3x – 4.

Which pair of numbers has a product of ac and a sum of b?



What is the factored form of the trinomial?

Answers

Answer 1

Answer:

(x - 1)(7x + 4)

Step-by-step explanation:

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 7 × - 4 = - 28 and sum = - 3

The factors are - 7 and + 4

Use these factors to split the x- term

7x² - 7x + 4x - 4 ( factor first/second and third/fourth terms )

= 7x(x - 1) + 4(x - 1) ← factor out (x - 1) from each term

= (x - 1)(7x + 4) ← in factored form

Answer 2

Answer:

-7 and 4

(7x+4)(x-1)

Step-by-step explanation:


Related Questions

pls help:( algebra 1 btw


17(2 + 12g) + 14

Answers

Answer:

204g + 48

Step-by-step explanation:

simplifying the expression

Answer: 204g+48


Step 1: Rewrite equation

To start off, let’s rewrite the equation to better understand the problem we are working with.

17(2+12g)+14

Step 2: Distribute

In this type of equation, we will not find an exact answer. Rather, we will simplify the equation by distribution and combining like terms. Let’s start by distributing. To do so, multiply the numbers outside of the parentheses with the numbers on the inside of the parentheses. This will be 17•2 and 17•12g. Let’s do so now.

17(2+12g)+14
34+204g+14

Step 3: Combine like terms

As the final step, we need to combine like terms. This means we add/subtract terms that share the same variable, or lack of. In this case, we need to add 34 and 14 together. Let’s do this now.

34+204g+14
204g+48

This is your final answer. 204g+48 is the new equation. Hope this helps! Comment below for more questions.

100 points and brainliest please:)

what is the square root of 256?
a 16
b 14
c 12
d 4

Answers

The square root of 256 = X^2

X ^2 = X x X

A) 16 x 16 = 256

The answer is a) 16

Answer:

A. ) 16

Step-by-step explanation:

[tex] \small \sf \: \sqrt{256} [/tex]

Write 256 in the exponential form with the base of 16

[tex] \small \sf \: \sqrt{16 {}^{2} } [/tex]

Reduce the index of the radical and exponent with 2

16

Maths assignment
9p^2-16q^2

Answers

Answer:

[tex]9p^2-16q^2[/tex]

[tex](3p)^{2} -(4p)^{2}[/tex]

[tex]\underline{x^2-y^2=\left(x+y\right)\left(x-y\right)}[/tex]

[tex]\left(3p\right)^2-\left(4q\right)^2=\left(3p+4q\right)\left(3p-4q\right)[/tex]

[tex]=\left(3p+4q\right)\left(3p-4q\right)[/tex]

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

hope it helps....

have a great day!!

Question 4 of 10
Which describes the graph of y=-(x - 3)^2 + 2?
O A. Vertex at (-3,2)
O B. Vertex at (3,-2)
C. Vertex at (3,2)
O D. Vertex at (-3,-2)

Answers

The correct answer is b

Answer:Vertex at (3, -2)

Step-by-step explanation:

The price of a radio is marked as rs 7500 if shopkeeper allows 20 % Discount and adds 13 % VAT . how much customer pay for radio​

Answers

Answer:

a) A shopkeeper marked the price of an article a certain percentage above the cost price and he allowed 16% discount to make 5% profit. If a customer paid Rs 9.492 with 13% VAT to buy the article, by what percent is the marked price above the cost of the price article? (I hope this helps)

Can someone help me with this math homework please!

Answers

Here, t represents time, which is the input of the function, so we know that 10 is the time in minutes. h(t) represents the altitude, which is the output of the function after time, t.

So, we need to substitute 10 into 210 -15t in place of t.

On simplifying 210 -15(10), we get that 60 is the altitude in feet. So, after 10 minutes, the hot air balloon is at 60 feet.

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]h(10) \text{- the altitude of the hot air balloon after 10 minutes.}\\\\\boxed{h(10)=60}[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

As described in the question, the function [tex]h(t)[/tex] models the total altitude of a hot air balloon over time. 't' represents the number of minutes that would be given.[tex]h(10)[/tex] would be the total altitude over 10 minutes time. To solve for the value, we would replace 't' with 10 and then evaluate.

⸻⸻⸻⸻

[tex]\boxed{\text{Evaluating the function...}}\\\\h(t) = 210 - 15t; \text{ } h(10)\\-------------\\\rightarrow h(10) = 210 - 15(10)\\\\\rightarrow h(10)=210 - 150\\\\\rightarrow \boxed{h(10) = 60}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

CAN YALL HELP ME WITH THIS ONEEE!!!!! PLZ

Answers

Answer:

b

Step-by-step explanation:

12x12

11x11

10x10

9x9

8x8

7x7

6x6

5x5

4x4

3x3

2x2

1x1

add em together equal 650

The answer is b I’ve already taking that question

You want to buy juices while shopping at ShopRite but are stuck between buying a bottle of apple juice and orange juice. The apple juice is 2 Liters and costs $3.00 while the orange juice is 3 Liters and costs $3.99. Which juice bottle is the better deal?

Answers

Answer:

Orange juice

Step-by-step explanation:

The bottle of apple juice costs 3 dollars for 2 liters, and the bottle of orange juice costs 3.99 dollars for 3 liters. To see which bottle has the better deal, we need to make the liters the same so we can compare them.

We can divide the 2 liters for 3 dollars ratio by 2 to get that 1 liter of apple juice costs 1.5 dollars, and we can divide the orange juice ratio by 3 to get that 1 liter of orange juice costs 1.33 dollars. We see that for 1 liter, orange juice is cheaper, so it is the better deal.

What value of c makes the equation true?
(PLEASE HELP, and look at the picture)

Answers

Answer:

[tex]\displaystyle c = 8[/tex]

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \frac{3}{6} = \frac{4}{c}[/tex]

Step 2: Solve for c

Simplify [Reduce]:                                                                                             [tex]\displaystyle \frac{1}{2} = \frac{4}{c}[/tex][Multiplication Property of Equality] Cross-multiply:                                      [tex]\displaystyle c = 8[/tex]

Answer:

c = 8

Step-by-step explanation:

[tex] \small \sf \frac{3}{6} = \frac{4}{c } \\ [/tex]

Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6c, the least common multiple of 6,c.

c × 3 = 6 × 4

multiply 6 and 4 to get 24

3c = 24

divide both side by 3

[tex]\small \sf \frac{3c }{3} = \frac{ 24} {3} \\ [/tex]

[tex]\small \sf \frac{ \cancel{3}c }{ \cancel{3}} = \frac{ \cancel{24}} {\cancel{3}} \\ [/tex]

Divide 24 by 3 to get 8.

c = 8

Helppp and explain pls and thankyou

Answers

Answer:

None of both

Step-by-step explanation:

It say y = lxl

so it mean if y = 3 so x = 3 or -3

find the value of 5 + 8 / 4 * 3​

Answers

Answer:

44

Step-by-step explanation:

5+8/4*3

5+24/4

20+24

44

In one week, Alex worked 35 hours at $ 12.50 per hour plus 5 hours overtime at 'time and half'. How much would Alex have earned for the week? *

Answers

Find out how much Alex earned in 35 hours first.

1 hour = $12.50

35 hours = $12.50 x 35 = $437.50

Since ‘time and a half’ pays 1.5 times more than their usual pay, find out how much Alex earned per hour at ‘time and a half’

1 hour = 12.50 x 1.5 = $18.75

5 hours = 18.75 x 5 = $93.75

$437.50 + $93.75 = $531.25

Alex would have earned $531.25 for the week.

HELP ASAP PLEASE!! calculate the expected gain or loss for stock jkl

Answers

Answer: $8.50

Step-by-step explanation:

The expected gain (loss) is a weighted average of the probability of the different gains (losses) and the gains or losses.

Expected gain or loss for stock JKL:

= (Probability of losing $25 * -25) + ( Probability of gaining $5 * 5) + ( Probability of gaining $45 * 45)

= (15% * -25) + (65% * 5) + (20% * 45)

= -3.75 + 3.25 + 9

= $8.50

Answer:8.50$

Step-by-step explanation:

Solve the equation and enter the value of x below. 3(x+11) + 5= 68​

Answers

[tex]\boxed{ \sf{Answer}} [/tex]

[tex]3(x + 11) + 5 = 68 \\ 3x + 33 + 5 = 68 \\ 3x + 38 = 68 \\ 3x = 68 - 38 \\ 3x = 30 \\ x = \frac{30}{3} \\ x = 10[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

[tex]3(x + 11) + 5 = 68 \\ 3 \times x + 3 \times 11 + 5 = 68 \\ 3x + 33 + 5 = 68 \\ 3x + 33= 68 - 5 \\ 3x + 33= 63 \\ 3x = 63 - 33 \\ 3x = 30 \\ x = \frac{30}{3} \\ x = 10[/tex]

WRITE THE FUNCTION FOR THE GIVEN TABLE PLS

Answers

Answer:

y=X²-4x+5

Step-by-step explanation:

substitute all the left side values to get the outputs..

y=(5)²-4(5)+5 =10

Answer:

A

Step-by-step explanation:

In fact, if we try to substitute, we have:

10 = 5^2 -4(5) +5

10 = 25 - 20 + 5

10 = 10 (ok)

17 = -2^2 - 4(-2) + 5

17 = 4 + 8 + 5

17 = 17 (ok)

and so on

Write the solution set of the equation x2 – 4=0 in roster form

Answers

Answer:

Step-by-step explanation:

x²-4=0

(x+2)(x-2)=0

x=-2,2

solution is x∈{-2,2}

Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of balloons as well. Each bag of balloons costs $2.50. The inequality below represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers.

10 + 2.5 x less-than-or-equal-to 40

Which best describes the number of bags of balloons she can buy?

Answers

Answer:

she can buy 0 to 12 bags but no more

Step-by-step explanation:

Given: P (-4; 7), Q ( 3;0) and R (-1;-4).
Determine:
1.1.1
the gradient of QR​

Answers

Slope or gradient = y2-y1/x2-x1

= -4-0/-1-3 = -4/-4 = 1

So final answer is :

Y=x

(By the way don’t get confused and wonder what happened to the 1 , it is with X , cause if you put 1x or x , it’s the same thing)

Who is sometimes referred to as the Columbus of statistics because his book made a fundamental contribution by attempting to demonstrate the quantitative characteristics of birth and death data

Answers

Answer: John Graunt

Step-by-step explanation:

John Graunt is referred to as the Columbus of statistics because his book made a fundamental contribution by attempting to demonstrate the quantitative characteristics of birth and death data.

He's regarded as the founder of demography which is the statistical study of the population of human beings.

A square and an equilateral triangle have the same perimeter. The length of the side of the square os x+10. The length of the side of the triangle os 4x. What is the length of the triangle side

Answers

Answer:

20

Step-by-step explanation:

the perimeter of the square and the triangle are the same

4×(x + 10) = 3×4x

4x + 40 = 12x

40 = 8x

x = 5

=>

a triangle side is 4x = 4×5 = 20

Solve for x. Thank you

Answers

Answer:  Choice A) 4

Work Shown:

Use the angle bisector theorem

15/(x+2) = 20/(14-(x+2))

15/(x+2) = 20/(-x+12)

15(-x+12) = 20(x+2) .... cross multiply

-15x+180 = 20x+40

180-40 = 20x+15x

140 = 35x

35x = 140

x = 140/35

x = 4 .... answer is choice A

Answer:

4

Step-by-step explanation:

cos^-1(15/20)=41.40962212

41.40962212/2=20.70481106

tan(20.70481106)x15=5.669467097

5.669467097-2=3.669467097

3.669467097 round up

4

Solve the problem Von rolls a ball on the ground at an angle of 23° to the right of his dog Bingo. If the ball rolls a total distance of 48 feet, and he is standing 30feet away, how far will Bingo have to run to retrieve the ball​

Answers

Answer:

Use the law of cosines:  a = 30,   b = 48, c = distance dog runs

a^2 + b^2 - 2 a b cos theta = c^2

900 + 2304 - 2650 = c^2  = 554       c = 23.5 ft

Write an equation of the form y = mx for the line shown below. If appropriate,
use the decimal form for the slope.

Answers

Answer:

y = - 0.5x

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 ) = (- 4, 2) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line

m = [tex]\frac{-1-2}{2-(-4)}[/tex] = [tex]\frac{-3}{2+4}[/tex] = [tex]\frac{-3}{6}[/tex] = - 0.5

The line crosses the y- axis at (0, 0 ) ⇒ c = 0

y = - 0.5x + 0 . that is

y = - 0.5x

HELP ASAP 10 POINTS AND BRAINLIST HURRY AND WILL GIVE 5 STAR AND A THANKS

Answers

A= 18 units squared
A of square = 9 units squared
A of triangles = 4.5 each unites squared

11t - 6t = 45 solve the equation and enter the value of t below ​

Answers

Answer:

[tex]t = 9[/tex]

Step-by-step explanation:

[tex]11t - 6t = 45[/tex]

[tex]5t = 45[/tex]

[tex]t = \frac{45}{5} [/tex]

[tex]t = 9[/tex]

Hope it is helpful....

Hey there!

[tex]\large\textsf{11t - 6t = 45}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{(11t - 6t) = \bf 5t}[/tex]

[tex]\large\textsf{NEW EQUATION: 5t = 45}[/tex]

[tex]\huge\textsf{DIVIDE 5 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{5t}{5}=\dfrac{45}{5}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{5}{5}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{\dfrac{45}{5}}\large\textsf{ because that helps solve for the t-value}[/tex]

[tex]\mathsf{\bold{t} = \dfrac{45}{5}}[/tex]

[tex]\huge\textsf{SIMPLIFY \& YOU HAVE YOUR ANSWER}[/tex]

[tex]\mathsf{\dfrac{45}{5}=\bf 9}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: t = \bf 9}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Need help on this!!! 7 points!!!!

Answers

Answer:

your answer is (2,3) i think so .......am i right...or wrong..

WILL GRANT BRAILIEST PLZ REAL ANSWERS ONLY OR REPORTING!​

Answers

Hello,

If the question is simplify then

we suppose x not equal to 5 and x not equal to -5

[tex]\dfrac{x^2-10x+25}{(x-5)(x+5)} \\\\=\dfrac{(x-5)^2}{(x-5)(x+5)} \\\\=\dfrac{x-5}{x+5} \\\\[/tex]

else

if the question is to find the euclidian 's quotient then

[tex]\dfrac{x^2-10x+25}{(x-5)(x+5)} \\\\= 1 + \dfrac{-10x+30}{x^2-25} \\\\=1-\frac{10}{x+5} \\[/tex]

euclian's quotient is 1

remainder is -10/(x+5)

Find the slope between the points (-3,1) and (-17,2)
(show your work pls) serious answers only

Answers

Answer:

-1/14

Step-by-step explanation:

The given points are

(-3,1) (-17,2)

The slope will be the difference of ordinate divided by difference of absicca .

> m = 2-1/-17+3

> m =1/-14

> m = -1/14

18. Ingrid usually runs 12 miles in 2 hours. If she
only has 40 minutes to run today, how many
miles can she run going at the same rate?
A. 2.4 miles
B. 3 miles
4 miles
2
D. 6-miles

Answers

Answer:

4 miles

Step-by-step explanation:

120min/12miles

10min/1mile

40min/4miles

The number of miles can she run, going at the same rate will be 4 miles. Then the correct option is C.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Ingrid usually runs 12 miles in 2 hours.

2 hours = 120 minutes

Then the speed will be

Speed = 12 / 120

Speed = 0.1 miles per minutes

If she only has 40 minutes to run today.

Then the number of miles can she run, going at the same rate will be

Distance = 0.1 x 40

Distance = 4 miles

Then the correct option is C.

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ2

which of the following is a geometric sequence

A. 6, 18, 54, 162
B. 1, 4, 5, 9, 14
C. 3, 6, 9, 12, 15
D. 3, 5, 8, 13, 21

Answers

I’m so sorry I need points
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