Factor the difference of two perfect squares using the X method. An x-method chart shows the product a c at the top of x and b at the bottom of x. What are the two binomial factors for x2 – 25? (x – 5)(x – 5) (x 5)(x 5) (x – 20)(x 5) (x – 5)(x 5).

The y-value of the vertex of the function is 121.

Given

The function is;

[tex]\rm f(x)=-(x +8)(x-14)[/tex]

The vertex of the parabola of a quadratic function is given by;

[tex]\rm \text{The vertex of the parabola}= \dfrac{-b}{2a}[/tex]

Expand the function then solve;

[tex]\rm f(x)=-(x +8)(x-14)\\\\f(x)=-(x(x-14)+8(x-14))\\\\f(x)=-(x^2-14x+8x-112)\\\\f(x)= -x^2+6x+112[/tex]

The y-value of the vertex of the function is;

[tex]\rm \text{The vertex of the parabola}= \dfrac{-b}{2a}\\\\\rm \text{The vertex of the parabola}= \dfrac{-6}{2\times -1}\\\\\rm \text{The vertex of the parabola}= 3[/tex]

Substitute x = 3 into f(x) for corresponding value of y

f(3) = - (3)² + 6(3) + 112 = - 9 + 18 + 112 = 121

Hence, the y-value of the vertex of the function is 121.

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Answer:

Honestly I can't figure it out myself, but I really want to help you.

Step-by-step explanation:

So I don't know how to write a step-by-step explanation

Answer:

8 -9788.8

15-273+4+484

Answer:

Step-by-step explanation:

[tex]area = \pi {r}^{2} \\ = 3.14 \times {3}^{2} \\ = 3.14 \times 9 \\ = 28.26 \: {mi}^{2} [/tex]

Part A

Given info:

Because n > 30 is not true, and we don't know the population standard deviation (sigma), this means we must use a T distribution.

The degrees of freedom here are n-1 = 23-1 = 22.

At 90% confidence and the degrees of freedom mentioned, the t critical value is roughly t = 1.717

Use a T distribution table or calculator to determine this. If you don't have a calculator for the task, then you can search out "inverse T calculator" and there are tons of free options to pick from.

The margin of error E is

E = t*s/sqrt(n)

E = 1.717*1.12/sqrt(23)

E = 0.400982

This is approximate and accurate to 6 decimal places.

The confidence interval is going to be xbar plus or minus that E value

L = lower bound = xbar - E = 4.90 - 0.400982 = 4.499018 = 4.50

U = upper bound = xbar + E = 4.90 + 0.400982 = 5.300982 = 5.30

The confidence interval in the format of (L, U) is (4.50, 5.30)

You could also express it as the format L < mu < U and it would be 4.50 < mu < 5.30; however, I'll stick to the first method.

=====================================================

Part B

Since we know sigma = 2.6 is the population standard deviation, we can use a Z distribution now.

At 90% confidence, the z critical value is roughly 1.645; use a table or calculator to determine this.

[tex]n = \left(\frac{z*\sigma}{E}\right)^2\\\\n \approx \left(\frac{1.645*2.6}{0.03}\right)^2\\\\n \approx 20325.254444 \\\\[/tex]

Round this up to the nearest integer to get 20326. For min sample size problems, always round up.

Answer:

12 days

Step-by-step explanation:

10% = 3 (30/10)

To find 40%, we can just times the above by 4.

3*4=12 therefore 12 days can expect rain.

Hope this helps!

The number of days you would expect rain is 12 days in April.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

Probability of rain in april= 40%

Days=30

Now,

To answer this question, you need to use the formula for expected value:

Expected value = probability × number of trials

In this case, the probability of rain is 40%, which can be written as 0.4 in decimal form. The number of trials is the number of days in April, which is 30.

Plugging these values into the formula, we get:

Expected value = 0.4 × 30 = 12

Therefore, by probability the answer will be 12 days in April.

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#SPJ3

Answer:

B or 614 1/8

Step-by-step explanation:

8.5*8.5*8.5= 614 1/8

Please mark Brainlest

Answer:

$361.675 dollars

Step-by-step explanation:

Multiply by .85 then take new number multiply by 1.15

Answer:

It is D

Step-by-step explanation:

Answer:

x= 10

Step-by-step explanation:

We can use the fact that the sum of all angles in a triangle is 180°.

5x +7x +60 = 180

Solve for x, because we have 1 equation with 1 unknown

   5x +7x +60 = 180, combine like terms

       12x + 60 = 180. subtract 60 from both sides of the equation

12x + 60 -60  = 180 -60, combine like terms

                12x = 120, divide both sides by 12

                   x = 10

Answer:

(0,-1) and (-1,-2)

Step-by-step explanation:

Answer:

∞

Step-by-step explanation:

I assume you meant 3×10 + 3456/3629 + 2341×123 + 123 ∞×90 and x is multiplication and not a variable.

Answer:

yes

Step-by-step explanation:

:)

Answer:

Yes

Step-by-step explanation:

since you have brainly and you are very smart and keep up the work

Answer:

12/13

Step-by-step explanation:

cos Y = adjacent side/ hypotenuse

Answer:

50

100

200

B,C,A

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Value of √3025 by Long Division Method

Forming pairs: 30 and 25

Find a number Y (5) such that whose square is <= 30. Now divide 30 by 5 with the quotient as 5.

Bring down the next pair 25, to the right of the remainder 5. The new dividend is now 525.

Add the last digit of the quotient (5) to the divisor (5) i.e. 5 + 5 = 10. To the right of 10, find a digit Z (which is 5) such that 10Z × Z <= 525. After finding Z, together 10 and Z (5) form a new divisor 105 for the new dividend 525.

Divide 525 by 105 with the quotient as 5, giving the remainder = 525 - 105 × 5 = 525 - 525 = 0.

We stop the process since the remainder is now 0 and there are no more digits that can be brought down.

Therefore, the square root of 3025 by the long division method is 55.

Answer:

number one is the best one

The loan option that will allow the customer to pay the least amount of interest is 4-year loan with a 5.2% annual simple interest rate.

Formula for simple interest = P ×T × R/100

P = Principal amount borrowed ($12,000)

T = Time in various years given

R = Rate of simple interest generated

To determine which loan option that would allow the customer to pay the least amount of interest, the simple interest of each option is calculated below

Simple interest of a 4 years loan = 12000×4×5.2/100

= $2,496

Simple interest of a 5 years loan= 12000×5×4.2/100

= $2,520

Simple interest of a 6 years loan= 12000×6×4.7/100

= $3,384

Simple interest of a 5 years loan= 12000×3×8.4/100

= $ 18,144

Therefore, the loan option that will allow the customer to pay the least amount of interest is 4-year loan with a 5.2% annual simple interest rate.

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Answer: every 3 feet is a yard

Step-by-step explanation: so the empty boxes top row are going to be ( 3  6 9 21 (yes it 21)

the middle row is going to be ( 1 2 )

the bottom is going to be ( 36 108 72 252 )

SOLUTION:

=) -2pq^7 + (-pq^7)

=) -2pq^7 -pq^7

=) -3pq^7

Answer:

[tex]-3pq^7[/tex]

Step-by-step explanation:

[tex]-2pq^7+-1pq^7[/tex]

[tex]-3pq^7[/tex]

Hope this helps!

Answer:

No, its not a right angle triangle. check for explanation below ↓

In order to figure whether ABC is a right-angled triangle.

First find the missing side:

22 - 8 - 5

9 cm

so the sides are 5 cm, 8 cm, 9 cm

using the rule:

short side² + short side² = biggest side²

5² + 8² = 9²

25 + 64 = 81

89 = 81

Thus found ABC is not a right-angled triangle.

[tex]AC = 22 - (8+5) = 22 - 13 = 9[/tex]

[tex]9^2 + 13^2 = 81 +169 = 250[/tex]

[tex]22^2 = 484[/tex]

So no, ABC is NOT a right triangle because the pythagorean thoerem fails

The superhero moves at 3600 km/h and his partner at 4415 km/h. The earth is round, so both him and his partner can get to the same location even travelling at opposite directions.

Speed is the ratio of distance travelled to the total time taken, it is given by:

Speed = distance / time

The superhero flies at 60000 m/min = (60000m * 1 km per 1000 m) / (1 min * 1 hr per 60 min) = 3600 km/h

The earth is round, so both him and his partner can get to the same location even travelling at opposite directions.

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Answer:

No question is asked, but Company P is less expensive than company M.

Step-by-step explanation:

See attached image.

The characteristics of the given points are observed during the

geometric construction processes.

Responses:

Step 1: The point O is the center because it is equidistant from the three points

Step 2: PQ = PR = QR, therefore, ΔPQR is an equilateral triangle

b) The ratio of a leg to the hypotenuse side of ΔACF is 0.5, therefore, ΔACF is a 30°– 60°–90° triangle

c) The points of intersection of the diameter and a  perpendicular bisector with the circumference of the circle are the vertices an inscribed square of the circle

Step 1: How to know that the point O is the center of the circle is as follows;

The perpendicular bisectors constructed are the locus of points

equidistant from the both points D and E and also the perpendicular

bisector gives the locus of points equidistant from points E and F

Therefore;

OE = OE, by reflexive property

OE is also equal to OF and OD by definition of the point O being on both

perpendicular bisectors.

Given that OE = OF = OD, we have that the point O is the center of a

circle with radius, OE = OF = OD passing through the points E, F, and D

Therefore;

Step 2: Given that the center of the circles are the points P and Q, we have;

PQ = The radial length of the two circles

Similarly

PR and QR are radial lengths of circle P and Q respectively

Therefore;

PQ = PR = QR

Which gives;

b) FC is the diameter of circle M

Therefore;

∠ACF is 90° and ΔACF is a right triangle

The ratio of the a leg to the hypotenuse side of a 30°– 60°–90° triangle is 0.5

Length of FA = FM = MC

[tex]\dfrac{FA}{FC} = \dfrac{FA}{FM + FC} = \dfrac{FA}{FA + FA} = \dfrac{FA}{2 \times FA} = \dfrac{1}{2} = \mathbf{0.5}[/tex]

c) The steps that can be used to locate the vertices of a square inscribed

in a circle are;

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Answer:

There are 12 inches in 1 foot and the picture is 24 inches so the pictures is 2 feet and you even it out so the answer is 2.75 for each side

Hope this is the answer you were looking for! Feel free to message or comment for any questions you have!

Step-by-step explanation:

you said 50

The time difference computed from the personal best given shows that Stan was 15 seconds faster.

From the information given, Stan had a personal best one mile run time of 6 minutes and 35 seconds. After his last run, his new personal best is 6 minutes and 20 seconds.

Therefore, the difference in time till be:

= 6.35 - 6.20

= 15 seconds.

Therefore, Stan was 15 seconds faster.

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Answer:

I get 3[tex]x^{3}[/tex] - 19x² + 43x – 35

This does not appear as an option.  Is option B mistyped?  It is the same with the exception of the 48x.

Step-by-step explanation:

(x2 - 4x + 5)(3x – 7)

3x^3 - 7x^2 -12x^2 +28x +15x -35

3x^3 -19x^2 +43x -35