Mathematics Middle School

Select all the expressions that are equivalent to the polynomial below.

(4x+5)(-3x-1)

A (-16x2 + 10x - 3) + (4x2 - 29x - 2)
B 3(x - 5) - 2(6x2 + 9x + 5)
C 2(x - 1) - 3(4x2 + 7x + 1)
D (2x2 - 11x - 9) - (14x2 + 8x - 4)
E (-15x2 + 9x - 10) + (3x2 - 10x - 5)
F (4x2 - 13x - 7) - (16x2 + 9x - 5)

Answers

Answer 1

Answer:

Options A,C and D

Step-by-step explanation:

(4x+5)(-3x-1) = -12x²-19x-5

Option A:

    (-16x² + 10x - 3) + (4x² - 29x - 2) = -12x²-19x-5

    Option A is correct.

Option B:

    3(x - 5) - 2(6x² + 9x + 5) = -12x²-15x-25

    Option B is wrong.

Option C:

    2(x - 1) - 3(4x² + 7x + 1) = -12x²-19x-5

    Option C is correct.

Option D:

    (2x² - 11x - 9) - (14x² + 8x - 4) = -12x²-19x-5

    Option D is correct.

Option E:

    (-15x² + 9x - 10) + (3x² - 10x - 5) = -12x²-x-15

    Option E is wrong.

Option F:

    (4x² - 13x - 7) - (16x² + 9x - 5) = -12x²-22x-2

    Option F is wrong.

Related Questions

A triangle has base 15ft and area 60ft2. What is the height?j

Answers

The height is 4 feet. You calculate the area by length times height. So what multiplied by 15 is 60? Well, 15ft x 4ft = 60ft^2

I need help ..........

Answers

Answer:

The answer is B

Step-by-step explanation:

You need to graph the equation from the left of equality sign which is y=x*1/6 and the other is -2x+5

The first has a point (0,0) and other point could be (6,1) from there you can have your graph

The second has one point in (2.5, 0) and (0,5)

Evaluate 13 + ab, when a = 2.5 and b = 3. A. 46.5 B. 20.5 C. 18.5 D. 19.5

Answers

When variables are touching, that means after plugging them in, we multiply.
So the equation becomes 13 + axb 
Lets fill a and b in:
13+(2.5)(3)
In the order of operations (or PEMDAS),we must multiply first. 
2.5 x 3 =7.5
Then the equation becomes:
13 + 7.5
No you just add to get your answer which is (B)20.5
Hope this helps!

Answer:

the answer is b



Which is a true statement about the line x − 4y = 8?




a


The y-intercept of the line is (0, 2).


b


The line passes through the origin.


c


The slope of the line is 1/4


d


The x-intercept of the line is (2, 0).

Answers

the y-intercept of the line is (0, -2), the x-intercept is (8, 0). the slope of the line is in fact 1/4

so your answer is C.

hope this helps, God bless!

How do you solve -10=10(k-9)

Answers

-10=10k-90
add 90 on both sides that would be 
80=10k 
divide by 10 
8=k or k=8
HOPE THIS HELPED!!! :)
-10=10(k-9)
1 step: Distributive Property
2nd step: Addition Property of Equality or added 90 to both sides
3rd step: Division Property of equality or divided by 10 on both sides.
k=8

Which pair of numbers is relatively prime? A. 102 and 321 B. 10 and 45 C. 3 and 51 D. 35 and 72

Answers

Which pair of numbers is relatively prime?


D. 35 and 72

The pair of numbers 35 and 72 are relatively prime, which is the correct answer would be option (D).

What is the pair of relatively prime?

If there is no integer greater than 1 that divides both integers, they are expressed to be relatively prime.

Consider the given pair of numbers to determine which pair is more prime.

A. Consider 102 and 321

3 is the number that divides by 102 and 321 both. Therefore, they are not relatively prime.

B. Consider 10 and 45

5 is the number that divides by 10 and 45 both. Therefore, they are not relatively prime.

C. Consider 3 and 51

3 is the number that divides by 3 and 51  both. Therefore, they are not relatively prime.

D.  Consider 35 and 72

As there is no number greater than one, this divides both numbers. As a result, they are relatively prime numbers.

Therefore, the correct answer would be an option (D).

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The O'Malley family is driving tlcross-country to see their cousins. So far, they have traveled 275 miles. This is 1/5 of the way to their cousins' house. How far do the O'Malleys live from their cousins?

Answers

To find the distance from their house to their cousins you would do 275x5=1375 miles. Hope this helps.

A square pyramid has a height “h” and a base with side length “b”. The side lengths of the base increase by 50% write a formula for the volume of the new pyramid in terms of b and h.

Answers

1/2 (b*h) is the formula for finding base and hight. Since its 50% i would say its a dilation.
[(h×b)×1.5]=v
h-height
b-base
1.5- an increase
v- volume

how do i evaluate 256 1/4 .? this is algebra 2.

Answers

Look it up on photomath

The value of the 256 1/4 is 384.25

What is a fraction?

A fraction represents a part of a number or any number of equal parts.

A fraction consisting of a quotient and a remainder is a mixed fraction. we can convert the mixed fraction to an improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and the remainder as the numerator of the proper fraction keeping the denominator.

We have the fraction as 256 1/4

First, we will multiply 256 with 4.

256 x 4 = 1536

1536 + 1

= 1537

Then

1537 / 4 = 384.25

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the tax on a property with an assessed value of $120,000 is $300. find the tax on a property with an assessed value of $140,000.

Answers

the answer is $12,300 not $140,000
$12,300 is the answer

1. simplify 6^2+ 3^2
2. 4^3+ 4.5

Answers

1. 45
2. 68.5


please mark me brainliest!!!
1. Use the correct order of operations and do the exponents first.
Remember that an exponent of 2 means to multiply the base by itself, not multiply the base by 2.

6^2+ 3^2 = 6 * 6 + 3 * 3 = 36 + 9 = 45

2. 4^3 + 4.5 = 4 * 4 * 4 + 4.5 = 64 + 4.5 = 68.5

A ladder is leaning against the side of a building. The building and the ground form a right angle. How high on the building will the ladder touch if the ladder is 10 ft long and the base of the ladder is 6 ft from the base of the building?

Answers

B) 
8 ft 
6, 8, 10 are lengths of a Pythagorean triple 
6^2 + 8^2 = 10^2

The height of wall where the ladder touches it is 8 ft.

Given that, a ladder is leaned against a wall, the building and the ground form a right angle, we need to find that how high on the building will the ladder touch,

So, here using the Pythagoras theorem,

Formula =

a²+b² = c²,  a, b and c are the sides of a right triangle,

Here, c = 10 ft, b = 6 ft we need to find the a,

a²+6² = 10²

a² = 100-36

a² = 64

a = 8

Hence, the height of the wall where the ladder touches it is 8 ft.

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find the coordinates of the orthocenter for a triangle with vertices (1,3) , (1,12) , (8,10)

Answers

the orthocenter is (3,10) I think
For convenience, I'll name the three points: A(1, 3), B(1,12), C(8,10)

The orthocenter is where the three altitudes of the triangle meet. That is, where the perpendicular lines from each vertex to the opposite side meet.

the goal in this case is to find out where the perpendicular line from C to AB, the perpendicular line from B to AC, and the perpendicular line form A to BC meet.
It is enough to find two perpendicular lines.

step one: find the equation of two perpendicular lines

find the slope of AB: m=(12-3)/(1-1), notice the denominator is 0, so the slope doesn't exist, that means AB is a vertical line parallel to the y axis, so the perpendicular line has a slope of o, a horizontal line. this horizontal line goes through C(8,10), so the equation is y=10
use the same method, slope of AC: (10-3)/(8-1)=1, so the perpendicular line from B to AC has a slope of -1. y=-x+b
Now use the point B(1,12) to find b: 12=-1+b =>b=13

so the equation for this line is y=-x+13

Step two: solve the system of equations: y=10
                                                                  y=-x+13
we get x=3, y=10, which are the coordinates of the orthocenter.

I've also found the equation of the third line, which is y=(7/2)x-1/2, the point (3,10) is also on this line. So it works!

What is 3v+6v(4v-2v)

Answers

3v + 6v(4v - 2v)
3v + 6v(2v)
3v + 12v²

3v(4v + 1)   is your answer

hope this helps
9v(2v) which equal 18v

Michell bought 5 packs of crayons for $13.75 what's the coust of one pack?

Answers

All you would do is divide for this problem so, 


13.75 ÷ 5 = 2.75

So one pack would cost 2.75

(:
The answer is two dollars and seventy five cents

What is the product in lowest terms?
1/6 x 5/7. ( / means fractions)

1. 6/13
2. 5/13
3. 1/7
4. 5/42

Thank you so much, if you could answer as fast and best as you can you really are very helpful!

Answers

Hi again!

Your answer is D. 5/42. Here's how we got that.

1) Multiply across. 1 * 5 / 6 * 7.

2) 1 * 5 = 5. 6 * 7 = 42.

Put solved form of 1 * 5 and 6 * 7 into fraction.

5 / 42.

Hope this helps! ☺♥

Which describes the difference between the two sequences? First Sequence: 1, 6, 36, 216 ... Second Sequence: 3, 6, 9, 12, ...

Answers

The difference between the sequence is that the second sequence counts by 3 and the 1st sequence it doesn’t
sequence one multiplies each number by 6 to get the next number in the sequence while the second sequence adds 3 to each number to get the next in the sequence.

Rosa scored 174,325points playing a video game.to the nearest ten thousand,how many points did Rosa scored?

Answers

170,000 points. Hope this helps!
170000 points should be the answer

a plane takes off at 6 am, traveling north at 270 mph. a jet takes iff at 7 am, traveling north at 460 mph. at what time will the jet overtake the plane?

Answers

Remember the distance-rate-time f[tex]t = 0.704 hrs[/tex]ormula:
[tex]d=rt[/tex]

Now, if the jet overtakes the plane, then at some point their distances will be the same. This means their rate * time will be equal.

Let's call the rate for the first plane, r1, and the rate for the second plane, r2. If we set time as t, then we can create ourselves a formula. However, we have to add one to the time of the first plane since it leaves one hour earlier. In the end, we should have something like this:
[tex]r_{1}(t+1)= r_{2}t [/tex]

If you plug in the values, you should get:
[tex]t = 0.704h[/tex]


A turtle fell to the bottom of a deep well. The turtle climbed up 2 meters on the first day, but slipped back 1 meter as he rested. The second day, the turtle climbed double the distance of the previous day, but slipped and lost ½ of the day’s climbed distance as he rested. This pattern continued until the end of the fourth day, when the turtle realized he was halfway to the top of the well. How deep was the well?

Answers

22 meters and your welcome m8.

Analyzing the climbing pattern of the turtle for four days shows that it climbed 15 meters which is halfway to the top, thus the entire depth of the well is 30 meters.

The question asks for the determination of the depth of a well based on a pattern observed in a turtle's attempt to climb out of it. To do this, we need to analyze the climbing and slipping pattern for four days until the turtle is halfway out of the well.

On the first day, the turtle climbed up 2 meters and slipped back 1 meter, netting a 1 meter gain. On the second day, the distance climbed is double that of the previous day (2 meters x 2 = 4 meters), but the turtle loses half of it while resting, which means a gain of 2 meters for the second day (4 meters / 2 = 2 meters). Following the pattern:

Day 1: +2 - 1 = +1 meterDay 2: +(2 x 2) - (4 / 2) = +2 metersDay 3: +(4 x 2) - (8 / 2) = +4 metersDay 4: +(8 x 2) - (16 / 2) = +8 meters

The total distance climbed after four days is 1 + 2 + 4 + 8 = 15 meters. Since this is halfway to the top, the entire depth of the well would be 15 meters  imes 2 = 30 meters.

3868000000 in scientific notation

Answers

the scientific notation is 3.868x10^9

two sides of a triangle have lengths of 10 and 15. Between what two numbers does the length of the third side lie?

Answers

Since the sum of two sides of a triangle must be greater than the third. You must subtract the two known to get the lower bound. And add the two to get the upper bound. This will give you between 5 and 25

I need to find the LCD or LCM for this equation I Also need with n is please help ... 3/4n-18=1/4n-14

Answers

3/4n - 18 = 1/4n - 14

We need to isolate "n"

So, add 18 to both sides.

3/4n = 1/4n - 14 - 18

Then, subtract 1/4n from both sides.

3/4n - 1/4n = -14 - 18

*Note : Since "n" has the same denominator (bottom number in a fraction), then we simply need to look at the top numbers (numerators) and simplify those.

Simplify.

2/4n = -32

Then, multiply both sides by 4 so that we get rid of fractions.

4 · 2/4n = -32 · 4

Simplify.

2n = -128

Now, divide both sides by 2.

2 ÷ 2n = -128 ÷ 2

Simplify.

n = -64

~Hope I helped!~ 

:)

The volume of a rectangular prism can be computed using the formula V = lwh. What is the height of a prism that has a volume of 2376 cubic centimeters, a length of 18 centimeters, and a width of 11 centimeters

Answers

18x11=198
198x12= 2376






Answer:

The height of the prism is approximately [tex]\(12\)[/tex] centimeters.

Explanation:

To find the height ([tex]\(h\)[/tex]) of the prism, we can rearrange the formula for volume to solve for [tex]\(h\):[/tex]

[tex]\[ V = lwh \][/tex]

We can rewrite this formula to solve for [tex]\(h\):[/tex]

[tex]\[ h = \frac{V}{lw} \][/tex]

Given:

- Volume ([tex]\(V\)[/tex]) = 2376 cubic centimeters

- Length ([tex]\(l\)[/tex]) = 18 centimeters

- Width ([tex]\(w\)[/tex]) = 11 centimeters

Substitute these values into the formula to find the height:

[tex]\[ h = \frac{2376}{18 \times 11} \][/tex]

[tex]\[ h = \frac{2376}{198} \][/tex]

[tex]\[ h \approx 12 \text{ centimeters} \][/tex]

So, the height of the prism is approximately [tex]\(12\)[/tex] centimeters.

A Town's population went from 25800 to 42600 in 15 years. What was the percentage of change?

Answers

25800/42600*100=60% increase

What is a multiplication problem with a product that is greater than 0.1 but less than 0.2

Answers

3 x 0.05 = 0.15

3 x 0.05 can be one of your answers

hope this helps
A multiplication problem with a product (answer) that is greater than 0.1 but less than 0.2 can be many things, for example: 0.051x2=0.1.02, 0.06x2=0.12
Both of these are good examples. I hope I was able to help you, and if you have any more questions, please let me know!

find A common denominator of 1/6 and 1/9. rewrite the pair of fractions using common denominator.

Answers

Answer:

the pair would be 3/18 and 2/18

The pair of fractions, 1/6 and 1/9, can be rewritten as 3/18 and 2/18, respectively, using the common denominator of 18.

We have,

The prime factorization of 6 is 2 * 3.

The prime factorization of 9 is 3 * 3.

To find the LCM, take the highest power of each prime factor:

LCM = 2 * 3 * 3 = 18

The common denominator for 1/6 and 1/9 is 18.

To rewrite the fractions using the common denominator of 18:

1/6 = (1/6) * (3/3) = 3/18

1/9 = (1/9) * (2/2) = 2/18

Thus,

The pair of fractions, 1/6 and 1/9, can be rewritten as 3/18 and 2/18, respectively, using the common denominator of 18.

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8+x/-9=9

Please solve this equation and show your work!

Answers

8+(x/-9)=9               subtract 8 

x/-9= 1                     multiply by -9 

x= -9

(8+x)/-9=9
-9×9=8+x

-81-8=x

X=-89

Fashion Phreddy buys 5 shirts and 3 ties for 91 on the bargain bus. Billy joe bob buys 8 shirts and 5 ties for 146. If all the shirts sold for the same price and each ties were priced identically. How much was each shirt and tie.

Answers

Assume that the price of the T-shirt is x and the price of the tie is y.

Fashion Phreddy buys 5 shirts and 3 ties for 91. This means that:
5x + 3y = 91 .........> equation I
5x = 91-3y
x = 18.2 - (3/5) y ..........> equation II
Billy joe bob buys 8 shirts and 5 ties for 146. This means that:
8x + 5y = 146 ...........> equation III

Substitute with equation II in equation III:
8(18.2 - (3/5) y) + 5y = 146
145.6 - 4.8y + 5y = 146
0.2y = 0.4
y = 2
Substitute in equation II to get the value of x:
x = 18.2 - (3/5) (2) = 17

Based on the above calculations:
price of T-shirt = x = 17
price of tie = y = 2 

help i dont get this question!

Answers

Because the perimeter is all the sides added:

P = side + side + side
4x + 3y = x + y + x + y + s
2x + y = s

Hope this helps!
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