Write the slope-intercept form of the equation of the line that is perpendicular to AB and passes through Point X Show

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Verifying the conditions, it is found that ordered pair (2,5) is a solution to the given system of inequalities.

As stated in the problem, it is modeled by:

y ≤ –x2 + 5x

y > x2 – 4

For ordered pair (-1,-1), we have that:

y ≤ –x2 + 5x

-1 ≤ –(-1)2 + 5(-1)

-1 ≤ -6

Which is false.

For ordered pair (0,2), we have that:

y ≤ –x2 + 5x

2 ≤ –(0)2 + 5(0)

2 ≤ 0

Which is false.

For ordered pair (2,5), we have that:

y ≤ –x2 + 5x

5 ≤ –(2)2 + 5(2)

2 ≤ 6

Which is true.

y > x² - 4

5 > 2² - 4

5 > 0

Which is true.

Hence ordered pair (2,5) is a solution to the given system of inequalities.

More can be learned about a system of inequalities at https://brainly.com/question/9774970

Answer:

the third option (2,5)

Step-by-step explanation:

I just took the test:)

Answer:

$22.50

Step-by-step explanation:

105/6= 17.5 each

17.5+5= 22.5

Answer:

5

Step-by-step explanation:

[tex]\frac{(44+9^2)}{5^2}[/tex] = [tex]\frac{44+81}{25}[/tex] = [tex]\frac{125}{25}[/tex] = 5

Answer:

31 cm2

Step-by-step explanation:

Rectangle 5X2 = 10 cm2

Triangle (6)(7)/2 = 42/2 = 21 cm2

Total area = 10 + 21 = 31 cm2

Hope this helps

Answer:

step by step solution:

(r/p)(9) = (9+1)²/(9-4) = 100/5 = 20

(q.s)(3) = (-2(3)+7).(3(3)² - 5(3)) = 1×12 = 12

(q/r)(-1) = (-2(-1) + 7)/(-1+1)² = 9/0 = Undefined

(t + s)(4) = -(4)² + 4(4) + 9 + 3(4)² -5(4) = -16 + 16 +9 + 48 - 20= 37

(s o p)(8) = s(p(8)) = s(8-4) = s(4) = 3(4)² -5(4) = 48 - 20 = 28

(q o t)(7) = q(t(7)) = q(-(7)² + 4(7) + 9) = q(-12) = -2(-12) + 7= 24+7 = 31

(r o u)(1) = r(u(1)) = r(1+6) = r(7) = (7+1)² = 64

(t o s)(0) = t(s(0)) = t(0) = 9

(u-p)(-3) = (-3)³ + 6(-3) - (-3) + 4 = -27 -18 + 3 + 4 = -38

(u o r)(-2) = u(r(-2)) = u((-2+1)²) = u(1) = 1 + 6 = 7

(q o q)(6) = q(q(6)) =q (-2(6) + 7) = q(-5) = -2(-5) + 7 = 17

END

The total amount accrued, principal plus interest, from simple interest on a principal of $25,000.00 at a rate of 15% per year for 6 years is $47,500.00.

Answer:

I =  $22,500.00

A = $47,500.00

Given Data

Principal = $25000

Rate = 15%

Time = 6 years

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 15%/100 = 0.15 per year.

Solving our equation:

A = 25000(1 + (0.15 × 6)) = 47500

A = $47,500.00

I = A - P = $22,500.00

Learn more about simple interest here:

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Answer:

1884

Step-by-step explanation:

square the 10 which is 100 and multiply 6 which is 600 and then multiply 600*3.14 which is 1884

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[tex] \qquad \qquad \sf \: \huge Answer♨[/tex]

Let's simplify ~

[tex]\qquad \sf  \dashrightarrow \:2x + 5 + x - 6 + 3x[/tex]

[tex]\qquad \sf  \dashrightarrow \:(2x + x + 3x) + (5 - 6)[/tex]

[tex]\qquad \sf  \dashrightarrow \:6x + ( - 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:6x - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:x - 8 + x - 5 + x + 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x + x + x) + ( - 8 + ( - 5) + 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:3x + ( - 12)[/tex]

[tex]\qquad \sf  \dashrightarrow \:3x - 12[/tex]

Answer:

Step-by-step explanation:

7) Volume of the shape = Volume of triangular prism - volume of cylinder

Triangular prism:

[tex]\boxed{ \text{Volume of triangular prism = base area * h }}[/tex]

b = 6 ft & height of the triangle = 5 ft

[tex]\sf Base \ area = \dfrac{1}{2}* 6* 5[/tex]

               = 3*5

               = 15 ft²

Volume of prism = 15 * 4

                           = 60 ft³

Cylinder:

r = 2÷2 = 1 ft & h = 4 ft

Volume of cylinder = 3.14 * 1 * 1 * 4

                                = 12.56 ft³

Volume of the shape = 60 - 12.56

                                    = 47.44 ft³

8) Volume = Volume of Pyramid -  Volume of cone

[tex]\boxed{\text{Volume of the Pyramid = base area * h} }[/tex]

[tex]\text {base area = length * width}\\\\\\[/tex]

                = 9 * 9

                = 81 m²

Volume of Pyramid = 81 * 8

                                = 648 m³

[tex]\boxed{ \text{Volume of cone = \dfrac{1}{3} \pi r^{2}h}}[/tex][tex]\boxed{ \text{Volume of cone = $\dfrac{1}{3} \pi r^{2}h$}}[/tex]

r = diameter ÷ 2 = 6÷2

r = 3 m & h = 8 m

[tex]\text{ Volume of cone =$\dfrac{1}{3}*3.14* 3*3*8$}[/tex]

                        = 3.14 * 3 * 8

                        = 75.36 m³

Volume of the shape = 648 - 75.36

                                     = 572.64 m³

9) Volume of the shape = volume of cylinder + volume of cone

Cylinder:

h = 7 in ; r = 3

[tex]\boxed{\text{Volume of cylinder =$ \pi r^{2}h$}}[/tex]

                                [tex]=\dfrac{22}{7}*3*3*7[/tex]

                                  = 22 *3 * 3

                                   = 198 in³

Cone:

r = 3 in & h = 4 in

[tex]\text{Volume of cone = $ \dfrac{1}{3}*3.14*3*3*4$}[/tex]

                         = 3.14 * 3 * 4

                          = 37.68 in³

Volume of the shape = 198 + 37.68

                                     = 235.68 in³

10) Volume of the shape = Volume of outer cyliner - volume of inner cylinder

Volume of outer cylinder:

R = 9 m  & h = 3 m

Volume of outer cylinder = 3.14 * 9 * 9 * 3

                                          = 763.02 m³

Volume of inner cylinder:

r = 5 m & h = 3 m

Volume of inner cylinder = 3.14  * 5 * 5 * 3

                                          = 235.5 m³

Volume of the shape = 763.02 - 235.5

                                    = 527.52 m³

result = 39 - 39 x 3% = 39 x 0,97 = 37,83

Answer:

C=2πr

r=C/2π

 198/2π

≈31.51268cm

Answer:

A) (-5,0) and (-4,0)...

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]

X - intercepts are the points where the curve cuts x - axis ~

for the given curve (parabola), the intercepts are :

[tex]\qquad \sf  \dashrightarrow \:(-5,0) \: \: and \: \: (-4, 0)[/tex]

The Correct choice is A

[tex]➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖[/tex]

Answer:

-31

Step-by-step explanation:

Expand 3(2x-7) - 2(3x+5)

Distribute:

3(2x-7)

6x - 21

-2(3x+5)

-6x - 10

Add:

 6x - 21

- 6x - 10

      - 31

Hope this helps!

Answer:

[tex]\boxed{\sf{-31}}[/tex]

Step-by-step explanation:

If you want to solve this, you must expand by a distributive property.

Distributive property:

3(2x-7)-2(3x+5)

3(2x-7)

3*2=6

3*7=21

Rewrite the problem.

6x-21

6x-21-2(3x+5)

-2(3x+5)

-2*3=-6

-2*5=10

-6x-10

Rewrite the problem down.

6x-21-6x-10

Combine like terms.

6x-6x-21-10

Add similar into their elements.

6x-6x=0

-21-10

Solve.

Subtract the numbers from left to right.

-21-10=-31

-31

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

1 large cube is 2 x 3 cubes equals 6

length is 3 x 4 x 2 = 24

24 x 3 = 72 for each layer

72 x 2 = 144 smaller cubea

Answer: (1)

Step-by-step explanation:

Answer: 40 degrees

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

→ Substitute the x value into the equation

-9 × 1 + 1

→ Simplify

-8

→ Compare to given y value

0 ≠ -8

Answer:

no

when you substite the values you don't get the same values

Answer:

19.6

Step-by-step explanation

= Sum of terms / number of terms

= ( 20 + 19 +18+ 20 +19 +22 ) / 5

= 19.6

Answer: 37

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+19>x, meaning the maximum whole number value of x is 37.

Answer:

A

Step-by-step explanation:

(1.7x10²³) and (3.4x10²³) cancel into 0.5.

0.5(8x10^-14) = 4x10^-14

Answer:

13.6x/3.4 x 10^14 This is a fraction by the way hope this helps

Step-by-step explanation:

13.6

x

3.4

⋅

10

14

Answer:

Squaring a number.

Step-by-step explanation:

The square root is an operation that undoes an exponent of 2, which is the inverse operation of squaring a number.

The answer is: Yes, all conditions for inference are met.

Answer:

i think that is the second one but im not sure.

Answer:

9.5

Step-by-step explanation:

First order them:

5, 5, 8, 11, 12, 14

The go to the middle

2, 8, 11, 12

8, 11

8 + 11 = 19

19 / 2 = 9.5

Answer:

9.5 is your answer

Answer:

1. 5/12

2. 3/8

3. 1/4

Step-by-step explanation:

Answer:

A = $13,116.03

Step-by-step explanation:

the equation used for compound is  A = Pe^rt, where p= principle, r=rate(interest) e=2.71828, and t=time. first convert the rate into a decimal, then plug in the numbers into the equation.

A = 10,000.00(2.71828)^(0.03875)(7)

Answer:

5 11/13 km

Step-by-step explanation:

4 ( 1 6/13)

4× 19/13

= 5 11/13