ASAP
Which of the following points is in the solution set of y > -x^2 + 5?
A.) (2, 4)
b.)(1, 3)
c.)(0, 5)
wrong = reported
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Answer:

∠ P ≈ 46.9°

Step-by-step explanation:

The area (A) of Δ PST is calculated as

A = [tex]\frac{1}{2}[/tex] × PS × PT × sinP

Here A = 71.24 , then

[tex]\frac{1}{2}[/tex] × 15 × 13 × sinP= 71.24 , that is

97.5 × sinP = 71.24 ( divide both sides by 97.5 )

sinP = [tex]\frac{71.24}{97.5}[/tex] , then

∠ P = [tex]sin^{-1}[/tex] ([tex]\frac{71.24}{97.5}[/tex] ) ≈ 46.9° ( to the nearest tenth )

Answer:

y = (-3/4)x + 2

Step-by-step explanation:

Find the slope of this line.  Note how the first x-coordinate (-8) becomes 4, a jump of 12, and how the first y-coordinate (8) becomes -1, a decrease of 9.  Then the slope is

m = (change in y) / (change in x) = -9/12 = m = -3/4

Find the y-intercept from this data using the slope-intercept form:

y = mx + b becomes  8 = (-3/4)(-8) + b when x = -8, y = 8 and m = -3/4.

Solving this equation for b, we get:

                                     8 = 6 + b, so that b must be 2.

The desired equation is y = (-3/4)x + 2.

Answer:

(1) B

(2) D

Step-by-step explanation:

(1)

Let the quadratic function be:

[tex]y = ax^{2} + bx + c[/tex]

For the point, (0,-1),

[tex]y = ax^{2} + bx + c[/tex]

[tex]-1=(a\times0)+(b\times0}+c\\-1=c\\c=-1[/tex]

Then the equation is:

[tex]y = ax^{2} + bx -1[/tex]

For the point (-1, -8) ,

[tex]y = ax^{2} + bx -1[/tex]

[tex]-8=(a\times (-1)^{2})+(b\times -1)-1\\-8=a-b-1\\a-b=-7...(i)[/tex]

For the point (1, 2) ,

[tex]y = ax^{2} + bx -1[/tex]

[tex]2=(a\times (1)^{2})+(b\times 1)-1\\2=a+b-1\\a+b=3...(ii)[/tex]

Add the two equations and solve for a as follows:

[tex]a-b=-7\\a+b=3\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\2a = -4\\a = -2[/tex]

Substitute a = -2 in (i) and solve for b as follows:

[tex]a-b=-7\\-2-b=-7\\b=5[/tex]

Thus, the quadratic function is:

[tex]f(x)=-2x^{2}+5x-1[/tex]

The correct option is (b).

(2)

The ordered pairs are:

(5, 7), (7, 11), (9, 14), (11, 18)

Represent them in an XY table as follows:

X : 5 | 7 | 9 | 11

Y : 7 | 11 | 14 | 18

Compute the difference between the Y values as follows:

Diff = 11 - 7 = 4

Diff = 14 - 11 = 3

Diff = 18 - 14 = 4

Now compute the difference between the Diff values:

d = 3 - 4 = -1

d = 4 - 3 = 1

Since the differences between the differences of the y-values is not consistent, the ordered pairs do not represent a quadratic equation.

The correct option is D.

Answer:

The perimeter of the triangle is 40.

Step-by-step explanation:

Pythagorean Theorem:  If x and y are the leg lengths of a right triangle, then r = √(x^2 + y^2) is the length of the hypotenuse.  Alternatively, x^2 + y^2 = r^2.

The side lengths 2x, 4x - 1 and 4x + 1 are already arranged in ascending order.  Thus, (2x^)2 + (4x - 1)^2 = (4x + 1).    

Performing the indicated operations, we get:

         4x^2 + 16x^2 - 8x + 1 = 16x^2 + 8x + 1.  Simplify this first by combining like terms:

         20x^2 - 16x = 16x^2, or

         4x^2 - 16x = 0, or

          4x(x - 4) = 0.  Thus, x = 0 (which makes no sense here) or x = 4.  

The perimeter of the rectangle is the sum of the three sides 2x, 4x - 1 and 4x + 1.  Substituting 4 for x, we get

P = 8 + 16 - 1 + 16 + 1, or 40.

The perimeter of the triangle is 40.                        

Answer:

the Mode Is 3

Step-by-step explanation:

You Have To Put the numbers from ascending order to descending order..The Numbers that appears the most is the mode

Answer:

4.6225

Step-by-step explanation: It would be too long to get an exact

Answer:

Step-by-step explanation:

Area of square = 18.49 square yards

side² = 18.49

side = √18.49

side = 4.3 yards

Answer:

a) m∠BPD = 120°

b) m∠BC + m∠AD = 120°

Step-by-step explanation:

a) To solve for question a, we make use of a theorem called the intersecting chord theorem. This states that:

The measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs.

The Interior angle =( The larger exterior arc + The smaller exterior arcs) ÷ 2

The larger exterior arc (m∠BD) = 170°

The small exterior arc (m∠CA) = 70°

m∠BPD = m∠BD + m∠CA/2

m∠BPD = 170° + 70°/2

= 240°/2

= 120°

b) We are to find m∠BC + m∠AD

The sum of exterior angles in a circle = 360°

360° = m∠BD + m∠CA + m∠BC + m∠AD

360° = 170° + 70° + m∠BC + m∠AD

360° = 240 + m∠BC + m∠AD

360 - 240° = m∠BC + m∠AD

Thererefore,

m∠BC + m∠AD = 120°

Answer:

1. m∠BPD = 120°

2. m∠BC + m∠AD = 120°

Answer:

Reserve rate = 3%

Step-by-step explanation:

Reserve Ratio = Reserve Maintained with Central Bank / Deposit Liabilities × 100

Reserve maintained = $6,000

Deposit liabilities = $200,000

Reserve Rate = Reserve Maintained with Central Bank / Deposit Liabilities × 1000

=$6,000 / $200,000 × 100

=0.03 × 100

r=0.03 × 100

=3%

Therefore,

Reserve Rate =3%

Answer:

The number of minutes Nikki needs to listen to the radio to hear 20 commercials is 63.275 minutes

Step-by-step explanation:

The given dependent and independent variables are;

The number of minutes spent by Nikki listening = x

The number of commercials aired = y

The relationship between the independent variable, x ans the dependent variable, y, was given by the Nikki's graphing tool line of best fit as follows;

y = 0.338·x - 1.387

Therefore, the number of minutes, x, Nikki needs to listen to the radio to hear 20 commercials, y is given as follows;

20 = 0.338·x - 1.387

20 + 1.387 = 0.338·x

0.338·x  =20 + 1.387 = 21.387

x =  21.387/0.338 = 63.275 minutes

The number of minutes, x, Nikki needs to listen to the radio to hear 20 commercials, y = 63.275 minutes.

Answer:

C. 63 minutes

Step-by-step explanation:

Step-by-step explanation:

when you are cooking you need to measure fractions of ingredients

Answer:

bbbbklhlhjljkhk

Step-by-step explanation:qwertyuiosdfghnjm,

xcvbnm,.sdfghuijk;m./

Answer:

[tex]\Large \boxed{tens}[/tex]

Step-by-step explanation:

We want to find out what 8 is in the number 1,082.

Let’s see the value of each number.

The 1 in 1,082 is in the one thousand place.

The 0 in 1,082 is in the hundreds place.

The 8 in 1,082 is in the tens place.

The 2 in 1,082 is in the ones place

We wanted to find what the value of 8 is, if you look above.. it says ‘The 8 in 1,082 is in the tens place’

Therefore the value of 8 is in the tens place.

If you have any questions, be free to ask!

Answer:

C. 12 for $6.00

Step-by-step explanation:

Answer:

C. 12 for $6.00

Step-by-step explanation:

better than $13.00 for 24. as that'd be $6.50 for 12..

Answer:

Step-by-step explanation:

You gave very clear instructions on how to draw this graph, so that's what I did. What you need to remember in particular with limits is that you do not care in the least what happens AT the x value of 2, only what happens as it is being approached. Because we are asked the limit as x is approaching from the left and the right, this is a one-sided limit question. In order for the limit to exist as x approaches 2 (NOT from the left or the right), the limit would have to agree from the left and the right, and this one doesn't. Having said that there is "a horizontal line crossing the y-axis at 5 that ends at the open point (2, 5)..." is a limit approaching x from the left. Therefore,

[tex]\lim_{x \to 2^-} f(x)=5[/tex]

Having also said there is "...another horizontal line starting at the open point (2, -3) and continues to the right..." is a limit approaching x from the right. Therefore,

[tex]\lim_{x \to 2^+} f(x)= -3[/tex]

The closed point at (2, 1) is where x IS, and remember that we don't care about what happens AT x. So disregard this point in limits.

Answer:

The answer is $40.

Step-by-step explanation:

According to the equation given in the question, we can assume that 550 is constant and was there when Mai started saving into a checking account.

Then as x gets increased by 1 each week, the amount of change in the account per week is $40.

I hope this answer helps.

Answer:

60

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

Note that LHS means left-hand side and RHS means right-hand side.

Step-by-step explanation:

LHS = sin⁴a + sin²a cos²a

= sin²a (sin²a + cos²a)

At this point, you can use the identity sin²a + cos²a = 1,

= sin²a (1)

= sin²a

= RHS (Proved)

Answer:

Step-by-step explanation:

[tex]\Large \boldsymbol{} \sin^4a+\sin^2a \cos^2a=\sin^2a \\\\\sin^2a(\underbrace{\sin^2a+\cos^2a}_1) =\sin^2a \\\\\sin^2a\cdot 1=\sin^2a \\\\\sin^2a=\sin^2a[/tex]

Answer:

1)

=6-15+7

=6-22

=-16 answer

2)

=7×40/5

=Then,7×8

=56 answer

Answer:

The 12th term is 61

Step-by-step explanation:

I will assume that your a(n) = -5 + 6(n - 1) is correct; the rest is redundant (duplicative, unneeded).

To find the 12th term, substitute 12 for n in the above formula:

a(12) = -5 + 6(12 - 1) = -5 + 6(11) = 66 - 5, or 61

The 12th term is 61

Answer:

61

Step-by-step explanation:

Answer:

A

For something to be a function every x value bust have at most 1 y value and in A 9 has 2 y values so it cant be a function

Answer:

0.8 -4*0.8-7=0.8*2x-1

0.8-3.2-7=1.6x-1

0.8-10.2+1=1.6x

1.8-10.2=x1.6

-8.4=x 1.6

x= -8.4 / 1.6

x= - 5.25

Answer:

k=0

Step-by-step explanation:

[tex]k+(2-5k)(6)=k+12\\k-30k+12=k+12\\12-12=29k+k\\0=30k\\k=0[/tex]

Answer:

k=0

Step-by-step explanation:

Answer:

24 kg

Step-by-step explanation:

The median can be found by putting the numbers in order and then finding the middle value.

In order from least to greatest:

19, 22, 24, 27, 28

24 is the middle value

So, 24 kg is the median.

Answer:

24 kg

Step-by-step explanation:

The median is the number in the middle of the data set. To find the median, arrange the numbers from least to greatest, then locate the middle number.

1. Arrange the numbers from least to greatest

Numbers: 22 kg, 24 kg, 28 kg, 19 kg, 27 kg

Least to greatest: 19 kg, 22 kg, 24 kg, 27 kg, 28 kg

2. Locate the middle number

Cross one number off each end of the set until the middle is reached.

19 kg, 22 kg, 24 kg, 27 kg, 28 kg

Cross off 19 and 28

22 kg, 24 kg, 27 kg

Cross off 22 and 28

24 kg

The middle number has been reached.

median= 24 kg

The median of the measurements is 24 kilograms.

Answer:

3

Step-by-step explanation:

As it's a parallelogram the cross splits each diagonal exactly in half, so each half is the same:

-9-6x = x-30

7x=21

x=3

Answer:

128

Step-by-step explanation:

20% of 64

= 0.2 × 64 = 12.8

10% = 12.8 , then

100% = 12.8 × 10 = 128

Answer:

The number is 128

Step-by-step explanation:

Let the number be represented by X

Therefore

20/100*64=10/100*X

---10X=1280

Now dividing both sides of the equation by 10 it will be

=10X/10=1280/10 which is

---X=128

Therefore the number is 128

your question is incomplete dear check it once

Answer:

9

Step-by-step explanation:

Plug in 2 for x

You should get f(2)=(2+1)^2

Add 2+1 inside the parenthesis to get 3

Finally do (3)^2 to get 9

Answer:

see explanation

Step-by-step explanation:

4a + 8               4

2a² + 8a            2a

12a² - 8a           4a

4 - 6a                2

Match each expression with its greatest common factor as follows;

4a + 8               4

2a² + 8a            2a

12a² - 8a           4a

4 - 6a                2

The largest number that is found in the common factors is called the greatest common factor.

The given expression are;

4a + 8              

2a² + 8a            

12a² - 8a      

4 - 6a              

The greatest common factor of the expression are as follows;

4a + 8  = 4(a+2) = common factor = 4    

2a² + 8a = 2a(a+4a) = common factor = 2a

12a² - 8a = 4a(3a-2) = common factor = 4a

4 - 6a = 2(2-3a) = common factor = 2

Learn more about the greatest common factor here;

https://brainly.com/question/15333869

#SPJ2

Answer:

Step-by-step explanation:

Hello,

First term is 2 * 3 * x * x * x

Second term is 2 * 2 * 2 * x * x

Last term is 2 * 2 * x

So we can factorise it as below.

[tex]\boxed{6x^3+8x^2-4x=2x(3x^2+4x-2)}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The factor should be [tex]2x ( 3x^2 +4x -2 )[/tex]

Given that,

Based on the above information, the calculation is as follows:

[tex] 6x^3+8x^2-4x[/tex]

[tex]2x ( 3x^2 +4x -2 )[/tex]

Learn more: https://brainly.com/question/4626564?referrer=searchResults