if f(x) =4x²+1 and g(x) =x²-5, find (f-g)(x)​

USING PYTHAGORAS THEORAM,

x²+3²= 5²

x²+9= 25

x²= 25-9 = 16

x= √16

x= 4

OPTION D

Answer:

-4/5/12

Step-by-step explanation:

-7/2/3 + (-5/1/2) + 8/3/4

-13/1/6 + 8/3/4

-4/5/12

Answer:

[tex]b=11, b=17[/tex]

Step-by-step explanation:

To get rid of the parenthesis, distribute:

[tex]b(28-b)=187,\\28b-b^2=187[/tex]

Move all terms to one side and factor:

[tex]b^2-28b+187=0,\\(b-11)(b-17)=0,\\\begin{cases}b-11=0,b=\boxed{11}\\b-17=0,b=\boxed{17}\end{cases}[/tex]

Answer:

b = 11, 17

Step-by-step explanation:

=> (28 - b) × b = 187

=> 28b - b² = 187

=> 28b - b² - 187 = 0

=> b² - 28b + 187 = 0

=> b² - 11b- 17b + 187 = 0

{as (-11b)×(-17b) = 187b² and (-11b)+ (-17b) = -28b }

=> b (b - 11) - 17(b - 11) = 0

=> (b- 11)(b - 17) = 0

(b - 11) = 0

=> b = 11

(b - 17) = 0

=> b = 17

therfore,

Answer:

32

Step-by-step explanation:

Daisy's mom is 4 times as old as she.

m = 4d

The sum of their ages 6 years ago was 28.

(m - 6) + (d - 6) = 28

Substitute for m = 4d

(4d - 6) + (d - 6) = 28

Combine like terms

5d - 12 = 28

5d = 40

Divide by 5

d = 8

m = 4d

m = 4 * 8

m = 32

Answer:

-7/45

-4/15+1/9 (two negatives make a plus or addition)

least common multiple of 15 and 9 = 45

 45 is the denominator

15*3=45 , 9*5 = 45

-4*3 = -12 ,1*5 = 5

-12+5 = -7/45

Answer:

-7/45

Step-by-step explanation:

find lowest common denominator: 45 (9 x 5 = 45, 15 x 3 = 45)

[tex]-\frac{4}{15} = \frac{(4*3)}{(15*3)} =-12/45\\\\\frac{1}{9}=\frac{(1*5)}{(9*5)} =5/45[/tex]

subtracting a negative = addition

[tex]-\frac{12}{45} +\frac{5}{45}\\\\=\frac{-12+5}{45} \\\\=-\frac{7}{45}[/tex]

y+43°= 180°( straight angle)

=>y= 180°-43°

=>y=137°

Answer:

Choice D

Step-by-step explanation:

slope = 1

y = intercept = 4

y = |x| + 4

y = x + 4

Answer:

11

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

let the third number be x , then

[tex]\frac{18+16+x}{3}[/tex] = 15 ( multiply both sides by 3 to clear the fraction )

34 + x = 45 ( subtract 34 from both sides )

x = 11 ← third number

The answer is −10d4+17d2s−6s2

Answer:

187, 199, 211, 250, 298, 331, 347, 362

[tex]median = {( \frac{n}{2} + 1) }^{th} \: value \\ = ( \frac{8}{2} + 1) {}^{th} \: value \\ = {5}^{th} \: value \\ median = 298[/tex]

Answer:

The median is the middle number in a set of data when the data is arranged in ascending (this is more common) or descending order. If there are an even number of values in the data set, the median is the arithmetic mean of the two middle numbers. Thus, the median separates the lower and higher half of a data set.

Step-by-step explanation:

ascending order : 187, 199, 211, 250, 298, 331, 347, 362

answer: 250, 298 .

Answer:

-5

Step-by-step explanation:

12-7=5

7-12=-5

If this helps please mark as brainliest

Arithmetic

7-12

Meaning, 12 less than 7.

7-12=-5

Answer:

lol ! where is your question?

Answer:

Step-by-step explanation:

The center of the circle is the midpoint of the two end points of the diameter.

Formula

Center = (x2 + x1)/2 , (y2 + y1)/2

Givens

x2 = 4

x1 = - 10

y2 = 6

y1 = - 2

Solution

Center = (4 - 10)/2, (6 - 2)/2

Center = -6/2 , 4/2

Center = - 3 , 2

So far what you have is

(x+3)^2 + (y - 2)^2 = r^2

Now you have to find the radius.

You can use either of the endpoints to find the radius.

find the distance from (4,6) to (-3,2)

r^2 = ( (x2 - x1)^2 + (y2 - y1)^2 )

x2 = 4

x1 = -3

y2 = 6

y1 = 2

r^2 = ( (4 - -3)^2 + (6 - 2)^2 )

r^2 = ( (7)^2 + 4^2)

r^2 = ( 49 + 16)

r^2 = 65

Ultimate formula is

(x+3)^2 + (y - 2)^2 = 65

The radius is √65 = 8.06

Answer:

$2100

Step-by-step explanation:

I = prt

I = $1500(0.05)(8)

I = $1500(0.4)

I = $600

$1500 + $600

= $2100

Answer:

150 degrees.

Step-by-step explanation:

We know, 1 Hour angles = 15 Degrees

So, 10 hour walking = 10*15 = 150 degrees

Hope this will help. Please mark me brainliest.

Answer:

HEYA FRIEND

X-10+190-X

= 180

SO THEY ARE SUPPLEMENTARY ANGLES

Answer:

Step-by-step explanation:

This is a right triangle; so you can use the Pythagorean Theorem ([tex]a^2 + b^2 = c^2[/tex]), where a and b are the lengths of the legs and c is the hypotenuse.

You get: [tex]5^2 + 12^2 = c^2[/tex]

Simplify the expression: [tex]25 + 144 = c^2[/tex]

Combine like terms: [tex]169 = c^2[/tex]

Take the square root of both sides: [tex]\sqrt{169} = \sqrt{c^2}[/tex]

Evaluate: 13 = c

So the answer is letter c ... x = 13

Answer:

x = 10

Step-by-step explanation:

[tex]a^{2} +b^2=c^2[/tex]

[tex]6^{2} +8^2=c^2[/tex]

[tex]36+64=100[/tex]

[tex]\sqrt{100}[/tex] = 10

Answer:

The desired single multiplier is 1.26.

Step-by-step explanation:

A 5% increase results in the original amount PLUS 5% of the original amount:

1.05(original amount)

If a 20% increase follows, we must multiply the above 1.05(original amount) by 1.20:

1.20(1.05)(original amount), or (after multiplying), 1.26.

The desired single multiplier is 1.26.

Answer:

[tex]x + 3y = 6 - - - (a) \\ 2x + 8y = - 12 - - - (b) \\ 2 \times (a) - (b) : \\ 0x - 2y = 24 \\ y = 12 \\ x + (3 \times - 12) = 6 \\ x = 42 \\ { \boxed{x = 42}} \\ { \boxed{y = 12}}[/tex]

Answer:

Step-by-step explanation: D: he portrays april much more negatively.

T. S. Eliot in "The Waste Land" differ in his interpretation of the subject matter from Geoffrey Chaucer in The Canterbury Tales as He portrays April much more negatively. Thus, option D is correct.

The Waste Land emphasizes the moral, cultural, and social deterioration of contemporary society brought on by the commercializing of life and the availability of everything for purchase. Even in the area of love, there is an issue of gain and loss. People no longer have moral principles or beliefs.

Eliot describes a world of desolate panoramas, despair, and spiritual emptiness in his writings, giving readers a somber impression of the earth and those who live there. He also argues that those who live in this world are destined to suffer since they are powerless to change their circumstances.

Therefore, option D is the correct option.

Learn more about the Waste Land, here:

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Answer:

A≈1075.21

d Diameter

37

d

r

r

r

d

d

C

A

Using the formulas

A=

π

r

2

d=

2

r

Solving forA

A=

1

4

π

d

2

=

1

4

π

37

2

≈

1075.21009

Step-by-step explanation:

Probability is 1/36.

The probability is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.

Two dices were rolled.

Total outcomes in sample space: S = 36

Outcomes which have sum as 12 are E = {(6,6)}

Required Probability: P(E)= 1/36

Hence, Probability is 1/36 of which have sum as 12

Learn more about Probability

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​

Answer:

1/36

Step-by-step explanation:

Answer:

Pearson correlation coefficient

Explanation:

The Pearson correlation coefficient, also simply called correlation coefficient measures the linear correlation between two sets of data/variables, independent variables and dependent variable. A correlation coefficient may only be between -1 and 1 where +1 denotes a perfect positive correlation between variables(both variables increase together), 0 is no correlation, and -1 is perfect negative correlation between variables(one decreases while other increases).

may be QR also equal to 34