F(x)=-3x^2+4x+4
G(x)=x(-7x-7)

Which expression is equal to f(x)+g(x)

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The length of the rectangular track is 187.35 yards.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Given the width of the track is 150 yards and the diagonal of the track is 240 yards. The length of the track is,

(Diagonal)² = (Length)² + (Width)²

240² = Length² + 150²

Length = √(240²-150²)

Length = 187.35 yards

Hence, the length of the rectangular track is 187.35 yards.

Learn more about Pythagoras' Theorem:

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Answer:

$32.80

Step-by-step explanation:

So you are trying to find out how much does the sale price cost?

Ok convert $41 into a decimal

$41 = $0.41

Then multiply 80% x $0.41

80 x $0.41 = 32.80

Answer:

$32.8

Step-by-step explanation:

Solve using a proportion

if 100%= $41 and 80% = x, then you cross multiply, and you get 100x = 41 (80), which would become 100x = 3280. Then you divide by 100 on both sides to get 32.8, which would be your answer!

Answer:

51

Step-by-step explanation:

1. Approach

One is given the polygon, (ABCDE); the problem asks one to find the area of this polygon. The most logical step to take is to divide this polygon into easier parts, find the area of each part, and then add up the area to find the total area of the figure.

One way to divide this figure up is to draw the line (AC). This will create the triangle (ABC) and rectangle (ACDE).

2. Find the area of (ABC)

The formula to find the area of a triangle is the following:

[tex]A=\frac{b*h}{2}[/tex]

Where (b) is the base of the triangle, and (h) is the height. The base of the triangle (ABC) is (AC), which has a measure of (6) units. The height of the triangle is the distance from the base of the triangle to the vertex opposite the base. This measurement is (3) units. Substitute these values into the formula and solve for the area:

[tex]A=\frac{b*h}{2}[/tex]

Substitute,

[tex]A=\frac{6*3}{2}\\\\A=\frac{18}{2}\\\\A=9[/tex]

3. Find the area of (ACDE)

The formula to find the area of a rectangle is as follows:

[tex]A=b*h[/tex]

The base of the rectangle is the segment (AE), with a measure of (7) units. The height of the rectangle is the segment (AC) with a measurement of (6) units. Substitute these values into the formula and solve for the area:

[tex]A=7*6\\\\A=42[/tex]

4. Find the area of the total figure

To find the area of the total figure, add up the area of the triangle, and the area of the rectangle:

[tex]9+42= 51[/tex]

Answer:

[tex]\huge\boxed{\boxed{s=P-t-r}}[/tex]

Step-by-step explanation:

[tex]P=s+t+r\qquad|\text{subtract}\ t\ \text{and}\ r\ \text{from both sides}\\\\P-t-r=s+t+r-t-r\\\\P-t-r=s\Rightarrow\boxed{s=P-t-r}[/tex]

Step-by-step explanation:

the answer is in the image above

Answer:

none of the tables shown

Step-by-step explanation:

Inverse variation is

xy = k where k is the constant

xy = 4

in the top table

-2*2 = -4 so it cannot be the first table

In the middle table

-2 * -8 = 16  so it is not the middle table

In the bottom table

-2 *4 = -8 so it is not the bottom table

There must be a table not shown

Answer:

The second decrease is larger at 16 1/6% decrease

Step-by-step explanation:

175 to 150

Take the original price minus the new price divided by the original price

(175 -150) /175 =25/175 = 1/7 =.142857143 = 14.28 % decrease

150 to 125

Take the original price minus the new price divided by the original price

( 150-125)/150 = 25/150 = 1/6 =.16666 = 16 1/6 % decrease

The second decrease is larger at 16 1/6% decrease

Answer:

They would never intersect because they are parallel lines. You can tell they are parallel lines because they have the same slope and they have a different y-intercept. However, this doesn't mean that there was no solutions, there were, thats how i was able to tell what their slopes and y-intercepts were. So if there is an answer that you can choose from that explains that they won't intersect because they are parallel then that is the correct answer. It may be C, but I would see if there is another option.

Answer:

[tex]K' = 83^o[/tex]

Step-by-step explanation:

Given

[tex]K = 83^o[/tex]

Reflection: [tex]y= 2[/tex]

Required

K'

The general rule is that, reflection does alter measurements (angles or lengths).

So, this means that K' will have the same measure as K.

i.e.

[tex]K' = K[/tex]

[tex]K' = 83^o[/tex]

Answer:

Option 3

Step-by-step explanation:

Given:

AB ≅ CD

Point P lies on AB and point Q lies on CD.

∠APO = ∠DQO = 90°

By theorem, if two chords in a circle are equal in measure, then they will be equidistant from the center.

Therefore, OP and OQ will be congruent.

Option (3) will be the answer.

Answer:

[tex](8x - 14) + (2x + 54) = 180 \\ 8x + 2x - 14 + 54 = 180 \\ 10x - 14 + 54 = 180 \\ 10x + 40 = 180 \\ 10x = 180 - 40 \\ 10x = 140 \\ x = \frac{140}{10} \\ x = 14[/tex]

Answer:Data Set B, because its correlation coefficient is farther from 0.

Step-by-step explanation:

I got it right soo <3

Answer: Mean = 27.33

Median = 27

Mode = 25 and 27

Step-by-step explanation:

1. Mean is the addition of all the numbers divided by how many numbers that are there.

Mean = (16 + 17 + 19 + 20 + 20 + 21 + 23 + 24 + 25 + 25 + 25 + 26 + 26 + 27 + 27 + 27 + 28 + 29 + 30 + 32 + 33 + 33 + 34 + 35 + 37 + 39 + 40) / 27

Mean = 738/27

Mean = 27.33

2. Median is the number in the middle in the ascending or descending other and this will be:

Median = 27/2 = 13.5 = 14th number = 27.

The median is 27.

3. Mode is the number that appears most and this will be 25 and 27 since they appear thrice which is the most times

Answer:

2m + 6 < 20

Step-by-step explanation:

A flat $6 plus $2 per mile is represented as 2m + 6, with m as the number of miles you can go.

This 2m + 6 must be LESS THAN Michael's $20. Therefore, this gives us:

2m + 6 < 20

2m: $2 per mile

6: the initial cost

20: how much money Michael has

Answer:

x= -1, y = -1

Step-by-step explanation:

-16x +24y = -8

16x -8y = -8

16y = -16

y=-1

16x = -16

x = -1

Answer:

x = - 0.25 = - 1 / 4

y = 0.5 = 1 / 2

Step-by-step explanation:

4x + 6y = 2

Divide 2 on both sides,

2x + 3y = 1 ----> eq. 1

16x - 8y = - 8

Divide - 8 on both sides,

- 2x + y = 1 ----> eq. 2

Add eq. 1 and 2,

2x + 3y = 1

- 2x + y = 1

_________

0 + 4y = 2

4y = 2

y = 2 / 4

y = 1 / 2

y = 0.5

Substitute y = 0.5 in eq. 2,

- 2x + y = 1

- 2x + 0.5 = 1

- 2x = 1 - 0.5

- 2x = 0.5

x = 0.5 / - 2

x = - 0.25

Answer: some parts of your question is missing below is the missing data

Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y

answer:

F is conservative

F = -6xe^y + ( 33 + 9 ) e^y + C

Step-by-step explanation:

The Potential functions for F so that F = ∇f.

F = -6xe^y + ( 33 + 9 ) e^y + C

attached below is a detailed solution

Answer:

The measure of an angle created by two intersecting chords is half the sum of the measure of the intercepted arc and the measure of the arc vertically opposite to the angle. In this case, I can write m∠CFB = 1/2(m∠CAB + m∠EAD)   because the measure of an intercepted arc is equal to the measure of its corresponding central angle.

Explanation:

sample answer from edmentum

Answer:

In 3 years, the interest of a sum of rs 3600 at the rate of 5.5% per year be Rs 594.

Step-by-step explanation:

T = ?

R = 5.5%

P = Rs 3600

I = Rs 594

so

T = (I×100)/(P×R)

or, T = (594×100)/(3600×5.5)

or, T = 59400/19800

so, T = 3 yrs

Answer:

$960

Step-by-step explanation:

Let the original amount be = x

Percentage increase is equal to = 12.5%

final amount = original amount + increase

final amount = x + 0.125x

final amount = 1.125x

final amount = 1080 = 1.125x

and then solve for x

[tex]x = \frac{1080}{1.125} \\ \\ x = 960[/tex]

so in the end x is equal to $960

Solve the equation: 1080 = 1.25x

Answer:

64 = 2(3x + x)

Step-by-step explanation:

Perimeter of the rectangle = 64 cm

Width of the rectangle = x

Length of the rectangle = 3x

Perimeter of a rectangle = 2(length + width)

The equation is

64 = 2(3x + x)

64 = 6x + 2x

64 = 8x

x = 64/8

x = 8 cm

Width of the rectangle = x = 8 cm

Length of the rectangle = 3x

= 3(8 cm)

= 24 cm

Answer:

The appropriate answer is "0.0124".

Step-by-step explanation:

Given:

Test statistics,

z = 2.5

By using the z-table,

p value for one tailed test will be:

= 0.0062

For two-tailed test,

⇒ [tex]p \ value = 2\times 0.0062[/tex]

                 [tex]=0.0124[/tex]

Answer

a^1=-2,5

a^n=a×a^n-1

Answer:

what is question of this you asked

Answer:

Caroline has to pay $8600 taxes

Jennifer has to pay $10320 taxes

Step-by-step explanation:

I guess the question is who has to pay how much taxes, right ?

Caroline earns $49000, and I guess, she belongs to a health fund.

she has to pay $5000 for the first $40000.

and for the remaining $9000 she has to pay $0.40 per dollar.

that means 9000×0.4 = $3600

and no penalties for no health fund.

so altogether $5000 + $3600 = $8600 taxes

Jennifer earns $51000 and did not belong to a health fund.

she has to pay $9000 for the first $50000.

and for the remaining $1000 she had to pay $0.30 part dollar.

that means 1000×0.3 = $300

and 2% of the total income because no health fund

51000×0.02 = $1020

so, altogether $9000+$300+$1020 = $10320 taxes

Answer:

The value of x = 6

Step-by-step explanation:

Given:

√x + 3 = x - 3

Find:

The value of x

Computation:

Given expression

√x + 3 = x - 3

Squaring both side

(√x + 3)² = (x - 3)²

x + 3 = x² + 3² - (2)(x)(3)

x + 3 = x² + 9 - 6x

x² + 9 - 6x - x - 3 = 0

x² + 7 - 5x = 0

x² - (6 + 1)x + 6 = 0

x² - 6x - x + 6 = 0

x(x - 6) -1(x - 6) = 0

(x - 6)(x - 1) = 0

x = 6 and x = 1

The value of x = 6