Given f(x)=x²-9, find the indicated values.
f(-1)

Answer:

2

Step-by-step explanation:

1+1+2+3+4+5+6+7+8+4÷25=2

Step-by-step explanation:

1+1+2+3+4+5+6+7+8+4÷25=2

Answer:

340

Step-by-step explanation:

Answer:

E. reflection over the x-axis

Step-by-step explanation:

sana makatulog

1.67 pounds flour we get per dollar.

Pound, avoirdupois weight unit equivalent to 16 ounces, 7,000 grains, or 0.45359237 kg, and troy and apothecaries' weight unit equal to 12 ounces, 5,760 grains, or 0.3732417216 kg The symbol lb comes from the Roman predecessor of the contemporary pound, the libra.

Given,

Cost for 2 pounds of flour = $ 1.20

Cost per pound of flour = $ 1.20 /2

                                       = $ 0.20

Now for 2 dollar we get flour = 2 pounds.

for 1 dollar we will get flour = 2/1.20 pounds

                                              = 1.6666 pounds

i.e. for 1 dollar we will get flour = 1.67 pounds.

So, 1.67 pounds flour we get per dollar.

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For the Question"The sum of income of A and B is more than...", B's income is the highest.

This is further explained below.

money obtained, particularly on a consistent basis, as a result of one's employment or investments.

Generally, the equations are mathematically given as

A+B  >  C+D

A+C  =  B+D

Hen

A= 2B+D

so from (2) we get C=  2

B+D =A

When we enter A and C into (1), we get the following:

B>D

We may deduce from premises (1) and (2) that C and B

So, B>C=A and B>D.

In conclusion, B's income is the highest.

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Answer:

The Answer is K.

Step-by-step explanation:

K is the answer because it is the only other point on the line DK

Auuuu.........

...

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The LCD of 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) is (x+2)^2(x-2)^2(x+2)(x-2) = (x+2)^3(x-2)^3.

To find the lowest common denominator (LCD) of three fractions, we need to identify the factors of each denominator and select those factors that are common to all denominators.The given fractions are: 1/ (x+2)^2, 3/ (x-2)^2, and 4/ (x^2-4).

The first denominator (x+2)^2 can be factored using the formula for the difference of two squares. The denominator of 3/(x-2)^2 can also be factored using the formula for the difference of two squares.

Finally, the denominator of 4/(x^2-4) can be factored using the formula for the difference of two squares and the formula for the sum of two squares.

So, 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) can be rewritten as follows:1/ (x+2)^2 = A/(x+2) + B/(x+2)^2. Multiplying both sides by (x+2)^2 gives:1 = A(x+2) + B ... (1)3/ (x-2)^2 = C/(x-2) + D/(x-2)^2.

Multiplying both sides by (x-2)^2 gives:3 = C(x-2) + D ... (2)4/ (x^2-4) = E/(x-2) + F/(x+2). Multiplying both sides by (x^2-4) gives:4 = E(x-2)(x+2) + F(x+2)(x-2) ... (3)

Now, we need to solve these equations for A, B, C, D, E, and F. First, we will solve equation (1) for A and B by substituting x = -2, which gives A = -1/4. Then we will substitute x = -2 again and solve for B, which gives B = 1/4. Next, we will solve equation (2) for C and D by substituting x = 2, which gives C = 3/4.

Then we will substitute x = 2 again and solve for D, which gives D = -3/4. Finally, we will solve equation (3) for E and F by substituting x = 2 and x = -2, which gives E = 1/2 and F = 1/2.

Now, we have A = -1/4, B = 1/4, C = 3/4, D = -3/4, E = 1/2, and F = 1/2. The LCD is the product of all the factors that appear in the denominators of the fractions, each raised to the highest power that appears.

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Answer:

s = 2 1/3 + 1/2

t = 2/3 + 3/2

We have to find the sum of both s and t.

2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6

2/3 + 3/2 = 4/6 +  9/6 = 13/6 = 2 1/6

If we look at the number lines, we can see that c matches with both points.

All the samples are in contol.

Mean of sample 1 = Average(495,500,505,500)

\(= \frac{495+500+505+500}{4} = 500 \text{hours}\)

Mean of sample 2 \(= \frac{525+515+505+515}{4} = 515 \text{ hours}\)

Mean of sample 3 \(= \frac{494+485+506+499}{4} = 496 \text{ hours}\)

3 Sigma control for means

LCL\(= 500 - \frac{3\times10}{\sqrt{4}} = 485\)

UCL\(= 500+ \frac{3\times10}{\sqsrt{4}} = 515\)

Mean of sampling distribution of sample means are 500,515,496.

Sample Mean for all 3 \(= \frac{\text{Sum of all sample hours of 3}}{\text{Number of sample hours}}\)

\(= \frac{494+485+506+499}{4} = 496\)

By using central limit theorm,

\(\text{Error} = \frac{\sigma}{\sqrt{n}} = \frac{10}{\sqrt{4}} = 5 \text{ hours}\)

Given Upper control limit is 505 hours and lower control limit is 495 hours.

Mean = 500

Z value for UCL \(= \frac{UCL - mean}{\sigma}\)

\(= \frac{505-500}{5} = 1\)

Z value for LCL \(= \frac{mean - LCL}{\sigma}\)

\(= \frac{500-495}{5} = 1\)

From the standard normal distribution table, probability that \(z\) lies between -1 and 1 is 0.6826

The risk of concluding is \(1-0.6826 = 3.174\)

As the upper control limit is 515 hours and lower control limit is 485 hours. From Sample 1, Sample 2 and Sample 3 we can observe that all the samples are in the control limits.

Therefore, All the samples are in control.

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The end behavior of the function is as x→-∞, f(x) → ∞ and x → ∞, f(x) → -∞

The function is given as:

f(x)=2x^7 − 5x^3 − 2x + 1

As x → −∞, we set x = −∞

So, we have:

f(−∞) = 2(−∞)^7 − 5(−∞)^3 − 2(−∞) + 1

Evaluate the exponents and the products

f(−∞) = −∞ + ∞ + ∞ + 1

Evaluate the sum and the difference

f(−∞) = ∞

This means that as x→-∞, f(x) → ∞

As x→∞, f(x)→ we set x = ∞

So, we have:

f(∞) = 2(∞)^7 − 5(∞)^3 − 2(∞) + 1

Evaluate the exponents and the products

f(∞) = ∞ - ∞ - ∞ + 1

Evaluate the sum and the difference

f(∞) = -∞

This means that as x → ∞, f(x) → -∞

Hence, the end behavior of the function is as x→-∞, f(x) → ∞ and x → ∞, f(x) → -∞

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Hello BATAPAAKO!

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

Solve the inequality: x+10>2x/5.

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\(x + 10 \gt \frac { 2 x } { 5 } \\ \)

Firstly, multiply both sides of the equation by 5.

\(5(x + 10) > 2x \\ = 5x + 50 > 2x\)

Since 5 is greater than 0, the direction of the inequality will remain unchanged. Now, subtract 2x from both the sides.

\(5x + 50 > 20 \\ = 5x + 50 - 2x > 0\)

Combine 5x & -2x to get 3x.

\(5x + 50 - 2x > 0 \\ = 5x - 2x + 50 > 0 \\ = 3x + 50 > 0\)

Now, subtract 50 from both the sides. Remember :- anything subtracted by 0 will result in its negation. So 50 subtracted from 0 will give you -50.

\(3x + 50 > 0 \\ = 3x > - 50\)

Divide both sides of the equation by 3. Again, since 3 is > 0, the direction of inequality will remain unchanged.

\(3x > - 50 \\ = \large\boxed{\boxed{ \bf \: x > - \frac{ 50}{3} }}\)

__________________

Hope it'll help you!

ℓucαzz ッ

Answer:

Hope you can understand my handwriting though

Answer:  D.  \(g(x) = (x-b)^2\)

Explanation:

If we want to shift the curve some distance b to the right, then we'll need to replace x with x-b. What this effectively does is shift the xy axis itself b units to the left while the curve is fixed in place. This gives the illusion of the curve moving b units to the right.

Put another way: the old input x is updated to the new input x-b which is smaller by b units. This helps explain why the xy axis is shifted to the left this amount.

So that's how we go from \(f(x) = x^2\) to \(g(x) = (x-b)^2\). You can think of it as \(g(x) = f(x-b) = (x-b)^2\)

Answer:

y = 33/5

Step-by-step explanation:

Distribute

3(2y-8)-y = 9

6y - 24 - y

5y - 24 = 9

Add 24 to both sides

5y = 9 + 24

5y = 33

y = 33/5

Answer:

 Standard error (S.E) =  0.048  ≅ 0.05

Step-by-step explanation:

Explanation:-

Given  sample size 'n'=76

Given the dean who randomly selects 76 students and finds that 58 out of 76 are receiving financial aid.

Sample proportion

                         \(p = \frac{x}{n} = \frac{58}{76} = 0.7631\)

The standard error is determined by

                     \(S.E = \sqrt{\frac{p(1-p)}{n} }\)

                     \(S.E = \sqrt{\frac{0.763(0.2369}{76} }\)

  Standard error is 0.048  ≅ 0.05

Answer:

Step-by-step explanation:

The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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Answer: C

Step-by-step explanation:

3x + 2 > x +8

= 3x + 2 -2 > x + 8 -2

= 3x > x + 6

= 3x - x > x - x + 6

= 2x/2 > 6/2

= x > 3

Answer:

C

Step-by-step explanation:

It is the only one that makes sense.

pls mark brainlest with the crown

The graph of the translated function is g ( x ) = ( x + 5 )² + 2

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x²

On simplifying , we get

The function is translated 5 units to the horizontal left direction:

And , when the function is translated 2 units in the vertical upward direction:

So , the translated function is

g ( x ) = ( x + 5 )² + 2

Now , the vertex of the function g ( x ) = ( x + 5 )² + 2 is (-5, 2)

Hence , the graph of the function is plotted and g ( x ) = ( x + 5 )² + 2

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Answer:

Midsegment theorem for Traoezoids

Step-by-step explanation:

I hope it helps you

Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

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Answer:

\( \rm y = x + 16 \)

Step-by-step explanation:

A function is given to us and we need to write the inverse of the function in slope intercept form . The given function is ,

\(\rm\implies f(x) = x - 16 \)

Let ,

\(\rm\implies y = f(x)\)

So that ,

\(\rm\implies y = x - 16 \)

Interchange x and y ,

\(\rm\implies x = y - 16 \)

Solve for y ,

\(\rm\implies y = x + 16\)

Now replace ,

\(\rm\implies y = f^{-1}(x) \)

We have ,

\(\rm\implies f^{-1}(x) = x+16 \)

And in slope intercept form ,

\(\rm\implies \boxed{\pink{\frak {y = x +16}}}\)

Answer:

60 contain 6 tens

then

60+10

contain

7 tens

the

correct answer

is

7 tens

Answer:

6 tens + 1 ten = 7 tens

Step-by-step explanation:

6 tens = 60

1 ten = 10

7 tens = 70

Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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Answer:

a)

week 1) 36 television

week 2) 12 television

week 3) 6 television

b) draw 2 televisions

cause 12+12=24

c) the shop sells 78 television in the 4-week period.

36+12+6+24=78

Hello there! :)

Week 3: 6 televisions because one symbol represents 12 televisions, and there's only half of this symbol. One half of 12 is 6.

So the shop sold \(6\) televisions in Week \(3.\)

What about Week 4?

We are given that 24 televisions were sold. We draw 2 symbols because 1 symbol represents 12 televisions.

To calculate the number of televisions sold in total, we must add Week 1+Week 2+Week 3+Week 4.

36+12+6+24=\(78\)

In total, \(78\) televisions were sold.

Hope it helps! :)

\(*GraceRosalia*\)

Hello!

x² - 5x + 6

= (x² - 2x) + (-3x + 6)

= x(x - 2) - 3(x - 2)

= (x - 2)(x - 3)