Simplify the polynomial expression
(-2m2 + m - 15) - (4m2 + 7m - 2)

Answers

Answer 1

Answer:

-6m^2-6m-13

Step-by-step explanation:

(-2m^2+m-15)-(4m^2+7m-2)

-2m^2+m-15-4m^2-7m+2

-6m^2-6m-13


Related Questions

find the value of x in the following..... 3^x = 8​

Answers

Find logarithm of both sides

log (3^x) = log 8

xlog3 = log8

x = log8/log3

x = 1.893

Answer:

x ≈ 1.893 ( to 3 dec. places )

Step-by-step explanation:

Using the rule of logarithms

log [tex]x^{n}[/tex] = n logx

Given

[tex]3^{x}[/tex] = 8 ( take the log of both sides )

log[tex]3^{x}[/tex] = log8, that is

xlog3 = log8 ( divide both sides by log3 )

x = [tex]\frac{log8}{log3}[/tex] ≈ 1.893

Which equation represents the given statement "Eight times a number minus 2 equals 33
more than the number." *

Answers

Answer:

8N-2=33+N

Step-by-step explanation:

The value of a car is $30.000and depreciates at a rate of 6.5% each year.
What will the value of the car be after 5 years?

Answers

find interest and subtract it from 30,000

The square root of 30

Answers

Answer:

square root of 30 is 30

because it comes in a point =5.477225575

Tennis great Roger Federer made 63% of his first serves in a recent season. When Federer made his first serve, he won 78% of the points. When Federer missed his first serve and had to serve again, he won only 57% of the points. Suppose you randomly choose a point on which Federer served. You get distracted before seeing his first serve but look up in time to see Federer win the point. What's the probability that he missed his first serve?

Answers

Sounds like a Bayes Theorem problem.

Events:

F: Roger makes his first serve.  We'll write ~F for "not F".

P(F) = .63

P(~F) = 1 - .63 = .37

W: Roger wins the point.  We don't know P(W) but we are given

P(W | F) = .78

P(W | ~F) = .57

We're asked for

P(~F | W)

The basic conditional probability theorem is

P(~F and W) = P(~F | W) P(W) = P(W | ~F) P(~F)

P(~F | W) = ( P(W | ~F) P(~F) ) / P(W)

We write

P(W) =  P(W | F) P(F) +  P(W | ~F) P(~F)

Substituting gives Bayes' Theorem:

P(~F | W) = ( P(W | ~F) P(~F) ) / ( P(W | F) P(F) +  P(W | ~F) P(~F) )

We know all the parts so we substitute,

P(~F|W) = ( .57(.37) ) / (.78(.63) + .57(.37) ) = 0.30029901751388294

Let's call that 30%

Answer: 30%

Answer:

0.3

Step-by-step explanation:

We need to reverse this because we only know the outcome. P(A|B) = P(B|A) * P(A) / P(B), so P(B|A) is B given that A happens, P(A) in this case is the probability that he missed the first serve. P(B) is the probability of winning the point. P(B) = P(B|A') * P(A') + P(B|A) * P(A), which means P(B) is the probability  of the point scored given that the serve was made multiplied by the probability of the serve being made plus the probability of B given that serve is missed multiplied by the probability that the serve is missed. This is 57% * 37% + 78% * 63%=0.21+0.49=0.7. So P(B)=0.7. P(B|A)*P(A)/P(B) would be 57% * 37% / 70% = 0.3. The probability that Federer missed his first serve given that he scored the point is 0.3.

How do you find the radius if you know the area of the circle?

Answers

Answer:

sqrt(A /pi ) = r

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

Divide each side by pi

A / pi = r^2

Take the square root of each side

sqrt(A /pi ) = sqrt(r^2)

sqrt(A /pi ) = r

Answer:

sqrt(A /pi ) = r

Step-by-step explanation:

NEED HELP! ASAP PLEASE!

Answers

Answer:

(0,-41)

Step-by-step explanation:

You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!

According to the function shown in the graph above are there two x intercepts? If so are they both meaningful?

Answers

Answer:

Graph has one x-intercept only

Step-by-step explanation:

Given: Graph of the function

To check: If there are two x-intercepts

Solution:

x-intercepts are the x-coordinate of the point where the graph intersects the x-axis.

The graph of the function intersects x-axis at one point only. So, the graph has one x-intercept only. From the graph, the graph can not be extended further on the left as the distance can not be negative.

Unit 6. 5) Please help. Which equation shows the correct use of the addition rule to determine the probability that a randomly selected show had animals in it or aired more than 10 times?

Answers

Answer:

D.) 0.7+0.4−0.2=0.9

Determine the projection of w onto v. U=9i-6j, v= -3i-2j, w=19i+15j

Answers

Answer:

w·v = -87

Step-by-step explanation:

The projection of a vector on another vector is given by the dot product between the vectors.

Thus, you calculate the dot product between w and v:

[tex]\vec{w}=(19,15)\\\\\vec{v}=(-3,-2)\\\\\vec{w}\cdot \vec{v}=(19,15)\cdot (-3,-2)\\\\\vec{w}\cdot \vec{v}=-57-30=-87[/tex]

So, the projection of w on v is -87

A box is laid on its side and the white label wrapped around the box covers 30% of the lateral surface area of the box. Find the length x of the box.

Answers

Answer:

6

Step-by-step explanation:

Find the area

Please help me thank you!

Answers

The answer to your question is 20

PLS HELP ME
M^2- 7m+1 ?

Answers

Answer:

Step-by-step explanation:

factorize the given equation like this

m^2-7m+1

m^2-2m+1-5m

(m-1)^2-([tex]\sqrt{5m}[/tex])^2

(m-1+[tex]\sqrt{5m}[/tex])(m-1-[tex]\sqrt{5m}[/tex])

Natalie draws an acute triangle.

Which attributes describe her triangle?

Select each correct answer.


exactly one acute angle

exactly three acute angles

exactly 2 acute angles

three straight sides

polygon

one right angle

Answers

Answer:

Exactly three acute angles

Three straight sides

Polygon

Step-by-step explanation:

Exactly three acute angles because that is the definition of an acute triangle.

Three straight sides, because that is the definition of a triangle.

Polygon because a triangle is a polygon.

You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.

Answers

Answer:

69.8%

Step-by-step explanation:

The weekly interest rate is computed using 52 weeks a year as per standard investment practice.

FV=PV*(1+r/52)^n*52

FV is the future value of $2000

PV is the present worth of $1,000

r is the unknown

n is the number of years which is 1

2000=1000*(1+r/52)^1*52

divide both sides by 1000

2000/1000=(1+r/52)^52

divide the index of the both sides by 52

(2000/1000)^(1/52)=1+r/52

1.013418991 =1+r/52

r/52=1.013418991 -1

r/52=0.013418991

r=0.013418991 *52=69.8%

Answer:

4%

Step-by-step explanation:

not really sure if thats right but i hopes it helps

Suppose x,y and z are positive real numbers. Prove that x+z/y+z>xy if and only if x Question has also been attached...PLS HELP!!!

Answers

Let's manipulate the expression a little bit and see what we come up with: we have

[tex]\dfrac{x+z}{y+z}>\dfrac{x}{y} \iff \dfrac{x+z}{y+z}-\dfrac{x}{y}>0 \iff \dfrac{y(x+z)-x(y+z)}{y(y+z)}>0[/tex]

We can simplify the fraction as

[tex]\dfrac{xy+yz-xy-xz}{y(y+z)}=\dfrac{yz-xz}{y(y+z)}=\dfrac{z(y-x)}{y(y+z)}[/tex]

Since both [tex]y[/tex] and [tex]z[/tex] are positive, their sum will be positive as well. In other words, we can rewrite the fraction as

[tex]\underbrace{z}_{>0}\cdot\underbrace{\dfrac{1}{y}}_{>0}\cdot\underbrace{\dfrac{1}{y+z}}_{>0}\cdot (y-x)[/tex]

So, the sign of this fraction depends on the sign of [tex]y-x[/tex]. If its positive, then the whole fraction is positive (product of 4 positive factors). If it's negative, then the whole fraction is negative (product of 3 positive factors and a negative one).

In other words, we arrived to the desired conclusion:

[tex]\dfrac{x+z}{y+z}>\dfrac{x}{y}\iff y-x>0 \iff y>x[/tex]

can someone help? 25 points

Answers

Answer:

Triangle A: acute

Triangle B: acute

Triangle C: obtuse

Triangle D: right

Step-by-step explanation:

acute= less than 90 degrees each angle

obtuse=more than 90 degrees for one angle

right=equal exactly 90 degrees for one angle

Answer:

A=Acute

B. Acute

C.Obtuse

D.Right

Step-by-step explanation:

a,and b, and  are acute becuase there angles are less than 90 degrees.

d is obtuse beucase the angleismore than 90 degrees

D is right beucase the angle is 90 degrees and it hasthat square in the corner.

what is absolute diviation

Answers

It’s the average distance between each data value and the mean.

Answer:

one measure of variability; the average of how much the individual scores of a data set differ from the mean of the set. - abbreviation: MAD

Step-by-step explanation:

Can someone tell me the rate of change on this graph?? Please!

Answers

Rate of change: 25L of water per minute

1. Look on the x axis at the 1
2. Look at the y coordinate to identify the rate of change.
(You can do extra steps with rise and run and scaling down but this is the easier way ;) )

please help meh
Juanita planted 20 rosebushes. 3/4
of the bushes were red.
The rest were white. How many bushes of each colour
did she plant? Show your work. Include a diagram.
please help me

Answers

There are 20 rosebushes, Juanita painted 3/4 of them.

So, we can convert 3/4 into a decimal or just multiply it by 20 to get the number of rose bushes that were painted red. Either way works.

Work:

20 x 3/4 = 15

3/4 = .75

.75 x 20 = 15

20 - 15 = 5

Therefore, 15 rosebushes were painted red and 5 rosebushes were painted white.

Which expression has the same value as 5(4x+4)

Answers

Answer: 20x + 20

Step-by-step explanation: In this problem, the 5 "distributes" through the parentheses, multiplying by each of the terms inside.

So we have 5(4x) + 5(4) which simplifies to 20x + 20.

What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?

–4
8
12
24

Answers

Answer:

8

Step-by-step explanation:

0 = –x^2 + 4x – 2

This is of the form

ax^2 +bx +c

a = -1  b = 4  x = -2

The discriminant is

b^2 -4ac

4^2 - 4(-1)(-2)

16 - 8

8

You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows an even number.



help and thanks!!

Answers

Answer:

1/6

Step-by-step explanation:

If you're asking for the probability that the coin is heads and the die is even. Hope this helps :)

1/3*1/2= 1/6

Answer:

The answer is 1/6

Step-by-step explanation:

This is because the dice has 6 sides so the possibility of getting a even is 1/6

Can someone please help me? I keep losing points...

CORRECT ANSWERS ONLY PLEASE!!!!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Round your answer to the nearest cent.

Answers

Answer:

She will have $78,080 dólars in her account and $17,080 is the interest she will earn in 2 years

Step-by-step explanation:

i = prt

i = ($61,000)(.14)(2)

i = $17,080

$78,080

Answer:

$78080

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 61000 × 14/100 × 2

I = $17080

She have = 61000 + 17080 = $78080

A fire truck parks 16 feet away from a building. The fire truck extends its ladder 30 feet to the very top of the building. How tall is the building? will give brainlist
❤️

Answers

Answer:

46 feet high!

Step-by-step explanation:

a. 9
b. 10
c. 16
d. 17

Answers

The answer should be A. 9 .

What is the equation of a line that is parallel to (1/2)y + x = 4 that passes through the point (0,14)?

Answers

Answer:

i cant answer that i'm only in 8th

Selecting 5 out of the 13 students will ride in a car instead of a van.


A) Permutation

B) Combination

C) Circular permutation

Answers

Answer:

combination

Step-by-step explanation:

permutation is when there is a specific order, whereas combination is when they are not in any specific pattern (in this case, 5/13 students, not in any particular order. just 5.

I don't want to explain circular permutation right now (it's difficult to explain), but it's not it from my knowledge

The number of ways selecting 5 out of the 13 students will ride in a car instead of a van is 1287.

The way of selecting 5 out of the 13 students will ride in a car instead of a van is evaluated by the combinations.

We consider the group of 5 students can be selected to ride in a car instead of a van.

Thus, for selecting a random group of the data from the universal data, we have to apply combinations to evaluate it.

Therefore, the ways can be formulated as:

[tex]^{13}C_5=\dfrac{13!}{5! \times 6!}\\=1287\;\rm{ways}[/tex]

Thus, the number of ways selecting 5 out of the 13 students will ride in a car instead of a van is 1287.

To know more about the combinations, please refer to the link:

https://brainly.com/question/10699405

Can anyone pls help me out in dis!!!

Answers

Answer:

1. Since you have to square the number of units to use the Pythagorean theorem, the dashes represent the number you would use in the equation(without squaring afterwards) . So if its 3 units long, there are 9 dashes. (3^2=9)

2. You can't use the number of boxes because that wouldn't give you the correct answer for C, since all of the variables have to be squared first for the formula to work.

Step-by-step explanation:

What is the value for x when solving the equation –x + (–1) = 3x + (–5) using alegbra tiles?

Answers

Answer:

x=1

Step-by-step explanation:

just use this app called photomath its free on apple and gives you answers.

Answer:  x = 1

Step-by-step explanation:

–x + (–1) = 3x + (–5)

−x−1−3x=3x−5−3x

−4x−1=−5

Add 1 to both sides.

−4x−1+1=−5+1

−4x=−4

Divide both sides by -4.

x = 1

Hope this helps :)

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