If f(x) = -x² + 3x + 5 and g(x) = x² + 2x, which graph shows the graph of (f+g)(x)?
864-2
Du
6
4
24
-2
4
99 99
-8
←
HE
←
00
2
68x

Answer:

cos Z = 8/17

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = opp / hyp

cos Z = 16/34

cos Z = 8/17

Answer:

-10 = x

Step-by-step explanation:

5=7+x/5

Subtract 7 from each side

5-7=7-7+x/5

-2 = x/5

Multiply each side by 5

-2 *5 = x/5 *5

-10 = x

The distance from the airport to his cousin’s house is 30 miles. On his map, the distance was 4 inches.

Scale factor is 1 inch: 475200 inches

Given :

The distance from the airport to his cousin’s house is 30 miles. On his map, the distance was 4 inches

we know that scale factor is inches by number of miles

number of miles times scale factor = distance in inches

scale factor =distance in inches / number of miles

\(scale \; factor \; is \; \frac{ 4}{30}\)

Divide 4  an 30 by 2 so we get

\(\frac{2}{15}\)

Scale factor is 2 inches : 15 miles

To get scale factor in feet then we multiply 15 by 5280

Scale factor is 2 : 79200 feet

To convert into inches we multiply 15 by   63360

Scale factor is 2: 950400

or 1: 475200

Learn more :  brainly.com/question/13983447

The value of Erica's investment after 6 years is approximately $4,939.05.

To find the value of Erica's investment after 6 years, we can use the compound interest formula. The formula for compound interest is given as:

A = P\((1 + r/n)^(nt)\)

Where:

A is the final amount or value of the investment.

P is the initial principal or investment amount.

r is the annual interest rate (as a decimal).

n is the number of times the interest is compounded per year.

t is the number of years.

In this case, Erica's initial investment is $4000, the annual interest rate is 4% (or 0.04 as a decimal), and the investment is growing annually. Therefore, we have:

P = $4000

r = 0.04

n = 1 (since the interest is compounded annually)

t = 6 years

Plugging these values into the compound interest formula, we can calculate the final value of the investment:

A = $4000(1 + \(0.04/1)^(1*6)\)

A = $4000(1 + 0.04)^6

A = $4000(1.04)^6

Evaluating this expression, we find:

A ≈ $4,939.05

Therefore, the value of Erica's investment after 6 years is approximately $4,939.05.

This calculation assumes that no additional investments or withdrawals were made during the 6-year period and that the interest rate remains constant at 4% per year.

for more such question on investment  visit

https://brainly.com/question/29227456

#SPJ8

Answer:

In a 30°-60°-90° right triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg.

2) DE = 10, DF = 5√3

3) MO = 3√3, LM = 3√3√3 = 9

4) LK = 2√6/√3 = 2√2, JK = 4√2

6) JL = 12√2√3√3 = 36√2,

JK = 24√6

Answer:

b. Formal

Step-by-step explanation:

Colloquial is a more casual style of writing, which this text doesn't include.

Answer:

m = 18

Explanation:

To solve this problem, we need to find the value of m such that the number of ways to choose 4 marbles is equal to the number of ways to choose m marbles from a set of 21 marbles.

The number of ways to choose k items from a set of n items is given by the binomial coefficient, also known as "n choose k," which is denoted as C(n, k).

In this case, the number of ways to choose 4 marbles from 21 marbles is C(21, 4), and the number of ways to choose m marbles from the same 21 marbles is C(21, m).

We are given that C(21, 4) = C(21, m).

Using the formula for binomial coefficients, we have:

C(21, 4) = C(21, m)

21! / (4! * (21-4)!) = 21! / (m! * (21-m)!)

Simplifying further:

(21! * m! * (21-m)!) / (4! * (21-4)!) = 1

Cancelling out the common terms:

(m! * (21-m)!) / (4! * (21-4)!) = 1

Simplifying the factorials:

(m! * (21-m)!) / (4! * 17!) = 1

(m! * (21-m)!) = (4! * 17!)

Since factorials are always positive, we can remove the factorials from both sides:

(m * (m-1) * ... * 1) * ((21-m) * (21-m-1) * ... * 1) = (4 * 3 * 2 * 1) * (17 * 16 * ... * 1)

Cancelling out the common terms:

(m * (m-1) * ... * 1) * ((21-m) * (21-m-1) * ... * 1) = (4 * 3 * 2 * 1) * (17 * 16 * ... * 1)

Expanding the products:

m! * (21-m)! = 24 * 17!

We know that 24 = 4 * 6, so we can rewrite the equation as:

m! * (21-m)! = (4 * 6) * 17!

We see that 6 is a factor in both m! and (21-m)!, so we can simplify further:

(6 * (m! / 6) * ((21-m)! / 6)) = 4 * 17!

Simplifying:

(m-1)! * ((21-m)! / 6) = 4 * 17!

Since 17! does not have a factor of 6, we know that (21-m)! / 6 must equal 1:

(21-m)! / 6 = 1

Solving for (21-m)!, we have:

(21-m)! = 6

The only positive integer value of (21-m)! that equals 6 is (21-m)! = 3.

Therefore, (21-m) = 3, and solving for m:

21 - m = 3

m = 21 - 3

m = 18

Thus, the value of m is 18.

Answer:

\( - 7 < (3x + 2) < 14 \\ \\ = \: \: - 7 - 2 < 3x < 14 - 2 \\ \\ = \: \: - 9 < 3x < 12 \\ \\ = \: \: \frac{ - 9}{3} < \frac{3x}{3} < \frac{12}{3} \\ \\ = { \boxed{ \boxed{ - 3 < x < 4}}}\)

Answer:

-3<x<4

Step-by-step explanation:

Hi there!

We are given the double inequality -7<3x+2<14 and we want to solve it.

If we have a double inequality and we want to do something (like subtract 3), then we must subtract 3 from the left side, middle, and right side.

An example would be with the inequality 1<x+3<5

In order to isolate x, we'll subtract 3 from the center. However, we'll also be needing to subtract 3 from the left (1-3) and the right (5-3)

Hence,

1<x+3<5

-3   -3  -3

___________

-2<x<2

In our problem then, we'll be subtracting 2 from EVERY side.

-7<3x+2<14

-2      -2   -2

________________

-9 < 3x  < 12

Now in order to isolate x, we'll divide by 3, which once again, we divide on EVERY side

-3<x<4

Hope this helps!

Answer:

x=-12

Step-by-step explanation:

5x/5=1x = -60/5=-12

x=-12

Answer:

-12

Step-by-step explanation:

5x=-60

Divide both sides by 5 to isolate

X=-12

Answer:

2 2/5  or 12/5

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

i worked it out below. hopefully you understand

1) to find the area of the figure, all we need to do is to find the distance between all the coordinates.

2) The area of the quadrilateral is given as approximately 151

The formula for finding the distance between two coordinates is given as:

d = √((x2-x1)2 + (y2-y1)2)

Where:

(x1, y1) are the coordinates for the first point; and

(x2 y2) are the coordinates for the second point.

Let A be the first Point with coordinates (7, 17); (18,12)

To compute the distance between the two coordinates, we insert the values into the formula:

(x2-x1) = (18 - 7) = 11

(y2-y1) = (12 - 17) = -5

Square the results and sum them up:

(11)2 + (-5)2 = 121 + 25 = 146

Now Find the square root and that's your result:

A = √146

Segment A = 12.083

Repeat the same process for B, C and D, to get:

Segment B = 18.02776

Line segment C = 12.08305

Line segment D = 21.4709

Now that we have the sides (line segments) of the quadrilateral, to compute it's area, we must use Brahmagupta's formula which states:

Area = √((s-a) * (s-b) * (s-c) * (s-d))

where s is the semiperimeter of the quadrilateral and is calculated as:

s = (a + b + c + d) / 2

Given the lengths of the line segments:

Segment A = 12.083

Segment B = 18.02776

Line segment C = 12.08305

Line segment D = 21.4709

we can calculate the semi perimeter as:

s = (12.083 + 18.02776 + 12.08305 + 21.4709) / 2

s = 31.341355

Substituting the values of a, b, c, and d into Brahmagupta's formula, we get:

Area = √((31.341355 - 12.083) * (31.341355 - 18.02776) * (31.341355 - 12.08305) * (31.341355 - 21.4709))

Area = √(9.43292 * 13.31159536 * 19.25867225 * 9.87087725)

Area = √(22781.771082368)

Thus, Area = 150.936314657
Rounded to the nearest whole unit, we have:

Area \(\approx\) 151

Learn more about Coordinates
https://brainly.com/question/16634867
#SPJ1

Answer:

8 cm

8 cm

8 cm

8 cm

Step-by-step explanation:

8+8+8+8 cm

= 32 cm answer

The SSwithin, or the sum of squares within groups, is a measure of the variation within each group of data.

It is calculated as the total sum of squares (SStotal) minus the sum of squares between groups (SSbetween). In this case, we are given SStotal and SSbetween, but we do not have enough information to calculate SSwithin.

We would need to know either the number of groups or the degrees of freedom associated with SSbetween in order to calculate SSwithin using the formula SSwithin = SStotal - SSbetween.

Therefore, the correct answer is D, which needs more information.

For more questions like Number click the link below:

https://brainly.com/question/17429689

#SPJ11

For a multiple regression model, sst = 200 and sse = 50. the multiple coefficient of determination is 0.75.

A single dependent variable and several independent variables can be analyzed using the statistical technique known as multiple regression. In order to forecast the value of the single dependent value, multiple regression analysis uses independent variables whose values are known.

When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables.

Learn more about multiple regression here

https://brainly.com/question/28167705

#SPJ4

The mode of the given data is Independents.


1. Identify the frequencies of each group: Republicans (47), Democrats (49), Independents (52).
2. Determine the group with the highest frequency: Independents have the highest frequency (52).
3. The mode is the group with the highest frequency: Independents.


The mode represents the most frequently occurring value in a dataset. In this case, we have 47 Republicans, 49 Democrats, and 52 Independents. The group with the highest frequency is Independents with 52, making it the mode.


After comparing the frequencies of Republicans, Democrats, and Independents, we can conclude that the mode of the given data is Independents, as they have the highest frequency (52) among the three groups.


The mode is a measure of central tendency that shows the most frequently occurring value in a dataset. In the given data, we have three groups: 47 Republicans, 49 Democrats, and 52 Independents. To find the mode, we need to identify the group with the highest frequency. In this case, Independents have the highest frequency with 52. Thus, the mode of the given data is Independents.

To know more central tendency visit:

brainly.com/question/30218735

#SPJ11

9514 1404 393

Answer:

Step-by-step explanation:

The zeros are the values of t that make the factors zero.

  1 -t = 0   ⇒   t = 1

  8 +16t = 0   ⇒   t = -8/16 = -1/2

The equation is used to model height after the ball is thrown. We don't expect it to be a good model before the ball is thrown (t < 0), so the zero in that region is extraneous.

Only the positive zero is in the function's domain, so that is the only one that is meaningful.

__

When t = 0 (at the time the ball is thrown), the function value is ...

  h(0) = (1 -0)(8 +0) = 8

The ball is thrown from a height of 8 feet.

Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

Answer:

B) Rotation

Step-by-step explanation:

Answer: 10.6

Step-by-step explanation:

\(\sin 62^{\circ}=\frac{x}{12}\\x=12 \sin 62^{\circ} \approx \boxed{10.6}\)

Answer:

C

Step-by-step explanation:

It can't be B or D, because there is only a difference in the X axis (Meaning it goes either left or right)

It can't be A because 2 is less than 11, so (2, -1) would be left 9 units in relation to (11, -1)

Answer:

Impossible you can’t

Step-by-step explanation:

Answer:

6 tickets

Step-by-step explanation:

Amount spent by Mr Harrison on plane tickets = $3600

Cost of each ticket = $585

Thus, largest number of tickets purchased is;

n = 3600/585

n = 6.15

Approximating to the nearest whole number gives 6 tickets

Answer:

10 over 14 in simplest form is 5 over 7

Step-by-step explanation:

About  84.13 percent of the individuals tested scored 135 or below.

To determine the percentage of individuals who scored 135 or below in a normal distribution with a mean of 120 and a standard deviation of 15, we can use the properties of the standard normal distribution.

First, we need to calculate the z-score for the value of 135. The z-score represents the number of standard deviations away from the mean a particular score is. It is calculated as (X - μ) / σ, where X is the score, μ is the mean, and σ is the standard deviation.

In this case, the z-score for 135 is (135 - 120) / 15 = 1. Therefore, we want to find the percentage of individuals with a z-score of 1 or below.

Using a standard normal distribution table or software, we can find that the area under the curve to the left of a z-score of 1 is approximately 0.8413. This represents the percentage of individuals who scored 135 or below in the given distribution.

For more such questions on percent

https://brainly.com/question/29763752

#SPJ8

An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

Learn more about linear equations in two variables at :

https://brainly.com/question/24085666

#SPJ4

Step-by-step explanation:

The given number is 7,594,000,000.

To convert it into scientific notation,

First move the decimal point places to the left to find a number that is greater than or equal to 1 and less than 10. Then multiply by 10 , using an exponent on 10 that equals the number of places you moved the decimal. The exponent is negative if the original no was <1 and the exponent is positive, if the original number was  > 1.

In 7,594,000,000, we move the decimal point places to the left before 5. It means we have moved 9 digits left.

Hence, \(7,594,000,000=7.59\times 10^9\) is the scientific notation.

Answer:

3x=-4-2y=-2y x=-2y+3=1y

Answer:

3

Step-by-step explanation:

Answer:

You multiple the 1/4 into the inside which 1/4 x 4 is  

Step-by-step explanation:

sorry