f(x)=x + 3 and ​g(x)=x2−x. Find and simplify the expression.
​(f+​g)(4​)

Answers

Answer 1

Answer:

11

Step-by-step explanation:


Related Questions

Please help solve this problem

Answers

Answer:

BCA and DCA

Step-by-step explanation:

Because the angle are next to each other. If you look at the others, none of them have the other listed beside them

Under what circumstance can the quadratic function not be written in factored form

Answers

Answer:

When the discriminant of a quadratic function is negative than it is not be written in factored form.

Step-by-step explanation:

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then

1. It is factorable if [tex]D=b^2-4ac\geq 0,[/tex] i.e., graph of function intersect the x-axis, roots of the function are real.

2. It is not factorable if [tex]D=b^2-4ac< 0,[/tex] i.e., graph of function does not intersect the x-axis, roots of the function are imaginary or complex.

It means, the quadratic function not be written in factored form when the discriminant of a quadratic function is negative.

I don't know the answer lol​

Answers

Answer:

The answer is B

Step-by-step explanation:

Can someone explain how to do this, I don't need a direct answer I just need an explanation.

Answers

Answer:

m[tex]\angle[/tex]STW = 40° m[tex]\angle[/tex] TSV = 140°

Step-by-step explanation:

Here it is given that ,l ines PV , QW and RX are parallel .That is ,

[tex]\longrightarrow PV \ || \ QW \ || RX [/tex]

And we would like to find out the value of ,

[tex]\longrightarrow m\angle STW \ \& \ \angle TSV [/tex]

As we know that when a transversal intersects two parallel lines then ,

Corresponding angles are equal .Also this is used as an axiom to prove that two lines are parallel .The sum of co- interior angles is 180° .

Here ,

[tex]\angle STW [/tex] and [tex]\angle TUX [/tex] are corresponding angles .So they must be equal.

[tex]\longrightarrow x = 2y \dots (i)[/tex]

Again here [tex]\angle VST[/tex] and [tex]\angle STW[/tex] are co- interior angles. So ,

[tex]\longrightarrow x + (x +5y) = 180^o \dots (ii) [/tex]

Substitute the value from equation (i) into (ii) ,

[tex]\longrightarrow 2y + 2y +5y =180^o \\[/tex]

[tex]\longrightarrow 9y = 180^o\\[/tex]

[tex]\longrightarrow y =\dfrac{180^o}{9}\\[/tex]

[tex]\longrightarrow y = 20^o [/tex]

[tex]\rule{200}4[/tex]

Therefore , we may find out the required angles as ,

[tex]\longrightarrow m\angle STW = x \\ [/tex]

[tex]\longrightarrow m\angle STW = 2y\\ [/tex]

[tex]\longrightarrow m\angle STW = 2(20^o)\\ [/tex]

[tex]\longrightarrow \underline{\underline{m\angle STW = 40^o}} [/tex]

[tex]\rule{200}4[/tex]

Again ,

[tex]\longrightarrow m\angle TSV = x + 5y \\ [/tex]

[tex]\longrightarrow m\angle TSV = 40^o 5(20^o)\\[/tex]

[tex]\longrightarrow m\angle TSV = 40^o + 100^o\\ [/tex]

[tex]\longrightarrow \underline{\underline{ m\angle TSV = 140^o }} [/tex]

And we are done!

[tex]\rule{200}4[/tex]

The length of a rectangle is 5 less than twice it’s width.The perimeter is 26 meters.Find the dimensions of the rectangle.

Answers

Let l be the symbol for length

Let w be the symbol for width

[tex]l = 2w - 5[/tex]

Our first equation is built according to the given that the length is twice the width subtracted by 5

Our second equation is built on the definition of perimeter. A perimeter is the sum of all sides of a polygon. A rectangle has 4 sides (2 lengths and 2 widths)

So the perimeter of a rectangle is=l+l+w+w=2l+2w

[tex]2l + 2w = 26[/tex]

This will be our second equation;

I can make a system of equations of 2 unknowns using my 2 equations;

[tex]2l + 2w = 26[/tex]

[tex]l -2w = - 5[/tex]

Add the two systems together by adding everything that is before the equal sign together and everything after it together.

[tex]2l + l + 2w - 2w = 26 - 5[/tex]

[tex]3l = 21[/tex]

[tex]l = \frac{21}{3} = 7 \: meters[/tex]

To find the width substitute L=7 in any equation;

[tex]l = 2w - 5[/tex]

[tex]7 = 2w - 5[/tex]

[tex]7 + 5 = 2w[/tex]

12=2w

w=12/2=6

The app is bugging, the width is 6 meters and the length is 7 meters

9+8 divided by (-4)-12

Answers

Answer:

-1 1/16 if mixed number. If you want decimal form: -1.0625

Step-by-step explanation:

Your question was this:

9+8/(-4)-12

I want you first to get rid of the -4-12 and be done with it so here are the steps:
Rule: If negative subtract a negative, that shall be an addition problem with the larger number's symbol.

In this case, we need to add 4 and 12 together and include the negative symbol in front of the answer.

That shall be -16

Our Question now:
9+8/-16

So do 9+8 which is 17.

Our question now:

17/-16

Your answer is an improper fraction so you could change it to a mixed number or you could simply divide 17 and -16 to get a negative decimal.

Here are the possible answers:
Mixed Number: -1 1/16

Decimal Form: -1.0625

9+8 divided by (-4)-12
divide 8 and -4 to get -2
the set it up like
9-2-12
subtract 2 from 9 to get 7
7-12
then subtract 12 from 7 to get

-5

One pipe can fill a tank in 5 hours. A second can fill it in 3 hours. How long would it take both pipes together to make the tank 4 of the way full?

Answers

Answer:

An hour and a half  1.5

Step-by-step explanation:

Find the area of this circle.
A= ?
5 in
Hint: First, plug in the value
of the radius into the
formula for r.

Answers

Answer:

25π

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^{2}[/tex]. In this case, [tex]r[/tex] is 5, to the area will we [tex]25\pi[/tex].

PLEEEAAAAAASE HELP!
What is the answer to this question?

Answers

Answer:

23 units

Step-by-step explanation:

Perimeter is the sum of side lengths

Let's find the sides first

AB = √(-2- 2)² + (-4+1)² = 5BC = (2 - (-1)) = 3CD = √(-1- 2)²+(5-2)² = √18 = 3√2 = 4.24DE = √(-4 -(-1))²+(2-5)²= √18 = 3√2 = 4.24AE = √(-4-(-2)²+(2-(-4))²=√40= 2√10 = 6.32

Perimeter is

P = 5 + 3 + 4.24 + 4.24 + 6.32 = 22.8 ≈ 23 rounded to the nearest whole number

Jasmine is riding on a carousal. She is sitting 9.5 feet from the center and it takes 20 seconds to
complete a rotation. What is Jasmine's linear speed (rounded to the nearest tenth)?

Answers

Answer:

2.983 ft/sec

Step-by-step explanation:

Given that

Distance between center and Jasmine riding on a carousal = 9.5 feet

Time taken to complete one rotation = 20 seconds

To find:

Jasmine's linear speed = ?

Solution:

Number of revolutions per minute = [tex]\frac{60}{20} = 3[/tex]

Formula for linear speed is given as:

[tex]v=\dfrac{2\pi}{60}\cdot r\cdot RPM[/tex]

Where [tex]r[/tex] is the radius of circular path and

[tex]RPM[/tex] is the number of revolutions per minute.

[tex]v=\dfrac{2\pi}{60}\times 9.5 \times 3\\\Rightarrow v=\dfrac{\pi}{10}\times9.5 \\\Rightarrow v = \bold{2.983\ ft/sec}[/tex]

Therefore, the linear speed is 2.983 ft/sec.

can someone answer this question now​

Answers

Answer:

1. C 20, 23

2. A 40, 36

3. 00:25, 00:20

4. 0:54, 1:00

5. 0:31, 0:30

Xavier drove his car 70 miles with 7 gallons of fuel. How many more miles can he drive if he added 1 gallon of fuel?

Answers

i think 10 more miles.

70/7=10

which means he gets 10 more miles for every gallon of fuel

Determine the absolute value. Type the numerical answer only. l4l​

Answers

Answer:

4

I hope this helps!

Heeeeeeeeeelllppppppp

Answers

Answer:

C

Step-by-step explanation:

Reflect over y axis translation down & left.

it’s the first one reflection then rotation

may anyone please help me with my math , Thank you very much. the choices are just S or N :)​

Answers

Answer:

1. N,  2. S,  3. S, 4.  S, 5.  N*

Step-by-step explanation:

By "similar," I'm assuming you mean the same thing as "like" terms.  Those are exactly the same (same variables and same exponents) but could have different coefficients (the number in front).

1. N  variables are not the same

2. S  variables are the same, exponents are the same

3. S  same variables; same exponents (x^3 y^2 is the same as y^2 x^3)

4. S

5. N first term has z^2 in it; the second does not

*P.S.  I'm having some trouble distinguishing your "two" from "zee."

If the 2nd expression is

[tex]\frac{1z zyx}{2}[/tex] then the terms are similar.

What is 12 5/25 as a mixed number simplest form?

Answers

Answer:

12 1/5

Step-by-step explanation:

5 can go into itself one time and 5 can go into 25 5 times hope that makes sense

Answer:

12 1/5

Step-by-step explanation:

Mary fills a container with water. It holds 6 liters. How many milliliters does the container hold?

Answers

Answer:

the container that holds

6 liters= 6,000mL

simplify the expression 14x^-2 for x is 7

Answers

9514 1404 393

Answer:

  2/7

Step-by-step explanation:

Put the number where x is and do the arithmetic.

  [tex]14x^{-2}=\dfrac{14}{x^2}=\dfrac{14}{7^2}=\dfrac{7\cdot2}{7\cdot7}=\boxed{\dfrac{2}{7}}[/tex]

In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in her class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, she decides to convert the test scores into z-scores relative to the mean and standard deviation of the students in the class. The mean test score in her upcoming class is 202, and the standard deviation is 38.2.
The following are the scores for some (not all) of her students. Complete the table using the dropdown menus.
Student Test Score z-score
A 126 1.25
B 98
C 97 -0.26
D 88
E 66 -1.88
F 95
G 111 0.47
H 105
The teacher wants to identify those students who may need extra challenge or extra help. As a first cut, she decides to look at students who have z-scores above z = 2.00 or below z = -2.00.
Identify the test score corresponding to each of the following z-scores. Round to the nearest whole number.
For z = 2.00, test score = ______.
For z - -2.00, test score = ______.

Answers

Answer:

A)

Student       Test Score     z-score

A                       126               1.25

B                        98                  -2.772

C                        97                -0.26

D                        88                  -2.984

E                        66                -1.88

F                        95                  -2.801

G                        111                  0.47

H                        105                -2.539

B)For z = 2.00, test score =278.4

For z - -2.00, test score =125.6

Step-by-step explanation:

Student       Test Score     z-score

A                       126               1.25

B                        98

C                        97                -0.26

D                        88

E                        66                -1.88

F                        95

G                        111                  0.47

H                        105

Mean = [tex]\mu = 202[/tex]

Standard deviation = [tex]\sigma = 38.2[/tex]

For Student B

x= 98

[tex]Z=\frac{x-\mu}{\sigma}=\frac{98-202}{38.2}=-2.722[/tex]

For Student D

x= 88

[tex]Z=\frac{x-\mu}{\sigma}=\frac{88-202}{38.2}=-2.984[/tex]

For Student F

x= 95

[tex]Z=\frac{x-\mu}{\sigma}=\frac{95-202}{38.2}=-2.8010[/tex]

For Student H

x= 105

[tex]Z=\frac{x-\mu}{\sigma}=\frac{105-202}{38.2}=-2.539[/tex]

Now we are supposed to find test scores :

For z = 2.00

[tex]Z=\frac{x-\mu}{\sigma}\\2=\frac{x-202}{38.2}\\(2 \times 38.2)+202=x\\278.4=x[/tex]

For z = -2.00

[tex]Z=\frac{x-\mu}{\sigma}\\-2=\frac{x-202}{38.2}\\(-2 \times 38.2)+202=x\\125.6=x[/tex]

Hence ,For z = 2.00, test score =278.4

For z - -2.00, test score =125.6

A school board randomly samples 80 students to determine their opinion on requiring school uniforms for the next school year. The table shows the results of the survey.
Opposed: 11
Undecided: 24
In favor: 45
A) If 1,200 students are in the district, how many students can be expected to oppose school uniforms?
B) Bernice says that based on the survey, a student is more likely to be undecided or opposed than in favor. Do you agree or disagree? Why or why not?

Answers

Using proportions, it is found that:

A. 165 students can be expected to oppose school uniforms.

B. From the sample, the most likely outcome is in favor, as it got the most responses, hence we should disagree with Bernice.

What is a proportion?

A proportion is a fraction of a total amount.

Item a:

Out of 80, 11 opposed, hence, out of 1200, we apply the proportion and find that the amount will be of:

1200 x 11/80 = 165.

Hence, 165 students can be expected to oppose school uniforms.

Item b:

From the sample, the most likely outcome is in favor, as it got the most responses, hence we should disagree with Bernice.

More can be learned about proportions at https://brainly.com/question/24372153

Is the discriminant of f positive, zero, or negative ?

Answers

Answer:

Negative

Step-by-step explanation:

A quadratic that does not touch the x-axis always has a negative discriminant.

Answer:

positive

Step-by-step explanation:

[tex]As\ shown\ in\ the\ figure[/tex]

[tex]when\ g(x)=0,\ have\ 2\ real\ roots\ (b^2-4ac > 0,\ \ have\ 2\ real\ roots)[/tex]

[tex]So\ the\ discriminant\ of\ g\ positive[/tex]

I hope this helps you

:)

Find the value of cos theta for the angle shown.

Answers

Answer:

Step-by-step explanation:

X = 4,0

hypotenuse = sqrt(4^2  + (-sqrt(33))^2 )

hypotenuse = sqrt(16 + 33)

hypotenuse = sqrt(49)

hypotenuse = 7

Cos(theta) =  4/ 7

The cos looks like it should be negative, but it is positive in quad 4.

The middle of the upper half of a set of organized data is called

Answers

The middle of the upper half of a set of organized data is called the upper quarter.

How is called the middle of the upper half?

We can divide the organized data in two halfs or in 4 quartiles (the interquartile range), where each quartile contains 25% of the data.

Such that each of the two halfs would be divided into two quartiles.

The middle of the upper half (where the third quartile ends and the fourth starts) is called the upper quarter.

So, concluding, the middle of the upper half of a set of organized data is called the upper quarter.

If you want to learn more about organized data, you can read:

https://brainly.com/question/3514929

Tony spent $60.54 and bought 3packs if notebooks and a calculator.How much does a pack of notebooks cost if a calculator costs $45.87

Answers

They Could Cost Around 4.00$

hi can u guys help me thank u and its worth 50 points :)

Answers

Answer:

The answer is the second option

Step-by-step explanation:

because the first two numbers 3 and 4 are a and b on a triangle and 6 is the hypothos

Write 689,802,473 in numerals​

Answers

Step-by-step explanation:

Tulis 689.802.473 dalam angka

six hundred eighty nine million eight hundred two four hundred and seventy three

sorry if wrong

Three more than "n" is no more than -8.

Pls Help

Answers

Answer:

n + 3 ≤ -8

Step-by-step explanation:

"three more than n" means n + 3" is no more than n" means less than or equal to, so this symbol: ≤"-8" just means -8n + 3 ≤ -8

Answer: n + 3 is greater than or less than to -8


The symbol ≤ means less than or equal to.


I hope this helped remember any number that has a negative combined with a positive depending on the number it will rise or fall. In this matter we are adding a positive to a negative so the number gets closer to 0.

Find the 7th term in the sequence -1,-5,-25

Answers

Answer:

-125

Step-by-step explanation:

-1 × 5 = -5

-5 × 5 = -25

-25 × 5 = -125

How much cash would you need to invest today if you knew you had to pay $1,000 each month for the next 5 years. Assume the annual interest rate is 12%. Round your answer to the nearest dollar.

Answers

Answer:

5600 $

Step-by-step explanation:

1000 multiply by 5 = 5000 multiply by 12 percent

600 add by 5000

5600

One of the angle measures of a right triangle is 36°. Which of the following is the measure of one of the other two angles of the triangle?

Answers

Answer:

54

Step-by-step explanation:

90°-36°=54°
        Or

x+36+90=180°

x=180-126

x=54

Hope that helped! :)

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