f(x)= x^2 -16x+63 find the x-intercepts of this function

Answer:

a=27

b=13.5

c=3.5

Step-by-step explanation:

This answer explains how to calculate the number of different sizes of bags that can be made from a specific amount of nuts, considering whole numbers of bags.

a. To determine how many 1-pound bags can be made from a 27-pound bag of nuts, divide 27 by 1, which gives you 27 bags.

b. For 2-pound bags, divide 27 by 2 to get 13.5 bags. Since you can't have half a bag, you can make only 13 bags.

c. To find the number of 3/4-pound bags from a 2.5-pound bag, divide 2.5 by 0.75, which equals 3.33 bags, but you can make only 3 bags because you can't have a fraction of a bag.

Answer:

B

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]

Hence

[tex]\frac{3^{4} }{3^{2} }[/tex] = [tex]3^{(4-2)}[/tex] = 3² = 9 → B

The answer is 9

because 3 to the power of 4 is 81 and 3 to the power of 2 is 9 so it’s 81 divided by 9 which is 9

Answer:

2

Step-by-step explanation:

2 is actually a prime number because composite numbers have more than 2 factors but prime numbers don't.

Answer:

196

Step-by-step explanation:

Divide 140 by 5 to find out how many miles she can drive with one gallon:

140/5 = 28

Multiply by 7:

28 x 7 = 196

hope this helps

Answer:

15

Step-by-step explanation:

we need to write the equation. I came up with....

3(5 - x) = 30

so take the 3 away from the 30. I think your not supose to do the 3 because it out of the ( ). the opppisite of multiplication is division. so...

3 divided by 30 =10

rewrite

(5 - x) = 10

take the 5 away. the oppisite of subbtraction is addition.

5 + 10 = 15

check your; plug in x

3(5 - 15) = 30  This equation looks true!

Hope this helped! Please mark as brainliest! Thanks

Answer:

7 units to the left

Step-by-step explanation:

Because if you move to the left you subtract 7 from the x-axis number or in this case 7, so 7-7=0.

Answer:

7 units to the left.

Step-by-step explanation:

Answer:

x = - 3[tex]\sqrt{2}[/tex], x = [tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given

x² + 2[tex]\sqrt{2}[/tex] x - 6

To calculate the zeros equate to zero

x² + 2[tex]\sqrt{2}[/tex] x - 6 = 0 ( add 6 to both sides )

x² + 2[tex]\sqrt{2}[/tex] x = 6

One way is to use the completing the square method

add ( half the coefficient of the x- term )² to both sides

x² + 2[tex]\sqrt{2}[/tex] x + ([tex]\sqrt{2}[/tex])² = 6 + ([tex]\sqrt{2}[/tex])²

x² + 2[tex]\sqrt{2}[/tex] x + 2 = 6 + 2

(x + [tex]\sqrt{2}[/tex] )² = 8

Take the square root of both sides

x + [tex]\sqrt{2}[/tex] = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex]

subtract [tex]\sqrt{2}[/tex] from both sides

x = - [tex]\sqrt{2}[/tex] ± 2[tex]\sqrt{2}[/tex]

x = - [tex]\sqrt{2}[/tex] - 2[tex]\sqrt{2}[/tex] = - 3[tex]\sqrt{2}[/tex], or

x = - [tex]\sqrt{2}[/tex] + 2[tex]\sqrt{2}[/tex] = [tex]\sqrt{2}[/tex]

The given equation is :

[tex]24x^{3}y^{2} -4x^{2}y +84x^{4}[/tex]

Now taking [tex]4x^{2}[/tex] common from all the terms, we get

[tex]4x^{2} (6xy^{2} -y+21x^{2} )=0[/tex]

Writing the equation in standard form we get:

[tex]21x^{2} +6xy^{2} -y=0[/tex]

Now we will use the formula of quadratic equations to solve this,

[tex]x1,2 = \frac{-b+\sqrt{b^{2}-4ac }} {2a}[/tex] and

[tex]x1,2 = \frac{-b-\sqrt{b^{2}-4ac }} {2a}[/tex]

Now putting a = 21, b = 6y² and c = -y and solving the equations, we get

[tex]x=\frac{-6y^{2}+\sqrt{36y^{4}+84y }}{42}[/tex] and

[tex]x=\frac{-6y^{2}-\sqrt{36y^{4}+84y }}{42}[/tex]

Answer:

B

Step-by-step explanation:

did it on edge

Answer:

The expression would be = to 0.

Step-by-step explanation:

Starting with -4(3s) + 2(-t), substitute (1/2) for s and (-3) for t:

                    -4(3/2) + 2(+3)

This gives us:

                       -12/2 + 6 = 0              

Answer:

-12

Step-by-step explanation:

3 times 1/2 is 1 1/2. 1 1/2 times -4 is -6. Then, -3 times 2 equals to -6. lastly -6 plus -6 equals to -12

Here is your answer

D. 17, 18, 32

REASON:

Sum of any two sides of a triangle is always greater than the third side.

So,

17+18= 35

35>32

In other cases

a. 12+15= 27

27 <30

b. 14+16= 30

30 <34

c. 15+16= 31

31 <33

Hence other three can't be sides of a triangle.

HOPE IT IS USEFUL

The side lengths that could represent a triangle is 17, 18, 32

A triangle is a polygon with three sides and three angles. Type of triangles are isosceles, equilateral, scalene and obtuse.

For a triangle, the sum of any two sides must be greater than the third side. Hence:

For 12, 15 , 30; 12 + 15 < 30

For 14, 16 , 34; 14 + 16 < 34

For 15, 16 , 33; 15 + 16 < 33

For 17, 18 , 33; 17 + 18 > 33

The side lengths that could represent a triangle is 17, 18, 32

Find out more on triangle at: https://brainly.com/question/17335144

-4 < -12 would be my answer, just from looking at it. If you write it out on a number line, the number -4 is higher than -12. The higher the negative number, the lower it is on the line. So, -4 is greater than -12, not lower than.

The comparison which is not correct is Option (D) -4<-12

The inequality, greater than or lesser than between two numbers indicate that whether one number is greater than the other number or less than the other number. The inequality is represented by ">" and "<".

In number system, when comparing two numbers less than zero then the magnitude of smaller negative number is always greater than the magnitude of bigger negative number. Or in other words it is opposite to the positive number system .

For example,  -10<-4  or  -2<-1

Thus the comparison which is incorrect is Option (D)  -4 < -12.

To learn more about comparison between two numbers, refer -

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Answer:

13.

Step-by-step explanation:

12.9 is closer to 13.

square root 167 is 12.923, this rounded to the nearest unit is 13

Answer:

-135

Step-by-step explanation:

The summation notation of 10∑n=2 -2n-3.

We can find the values by substituting n into -2n-3.

Let's begin where n = 2

-2(2) - 3 = -7

-2(3) - 3 = -9

-2(4) - 3 = -11

-2(5) - 3 = -13

-2(6) - 3 = -15

-2(7) - 3 = -17

-2(8) - 3 = -19

-2(9) - 3 = -21

-2(10) - 3 = -23

This gives us:

-7 + -9 + -11 + -13 + -15 + -17 + -19 + -21 + -23 = -135

The question is likely related to evaluating a summation sequence using sigma notation, but the specifics are unclear due to possible typos. The correct approach would be to substitute values of n into the given expression and sum the results, but the question needs clarification.

The student's question appears to involve the concept of a summation, indicated by the sigma notation (Σ), which is a common topic in high school mathematics, particularly in algebra, pre-calculus, or AP statistics. However, the question, as written, is incomplete or contains typos that make it unclear. The phrase '10 sigma n=2 -2n-3' is not sufficient to provide a full context for an evaluation. It is likely that the student is asking to evaluate a summation formula that starts at n=2, but the upper limit of the summation (10) and the actual expression to be summed (-2n-3) are not clearly linked.

If the student intended to ask for the evaluation of the summation of the expression -2n-3 from n=2 to n=10, then we would calculate the sum as follows:

However, without clarification from the student, we cannot proceed with certainty. It is important to understand the exact parameters of the summation when dealing with sigma notation and summation formulas.

Let the two numbers be 3x and 4x

sum =3x + 4x = 7x

7x = 133

x= 19

the numbers are :

3(19) = 57

4(19) = 76

Answer:

57 and 76

Step-by-step explanation:

Given the ratios are 3 : 4 = 3x : 4x, then

3x + 4x = 133

7x = 133 ( divide both sides by 7 )

x = 19

The numbers are

3 × 19 = 57 and 4 × 19 = 76

Answer:

Step-by-step explanation:

60 - 55 = 5, car B catches up to Car A 5 miles per hour, they are 5 miles closer every hour

10 / 5 = 2, 2 hours

car b would have driven 60 * 2 = 120

Answer:

Yes, it does.

Step-by-step explanation:

Every regular shaped figure will have rotational symmetry, since they are built with identical segments all around.

To find the answer, ask yourself « If I rotate the shape, is there a time where I’ll find the exact same shape again with a different angle? »

So, a square has rotational symmetry, but not a rectangle.

A equilateral triangle has rotational symmetry, but not any other type of triangle.

The answer would be 8 inches.

Answer:

W = 8 inches

Step-by-step explanation:

Volume of a rectangular prism is V= LWH,

we are given V = 528, L = 12, and H = 5 1/2.  Plug  them in and find W..

First convert 5 1/2 to an improper fraction

5 1/2 becomes 11/2

   528 = (12)(11/2)W

      528 = (132/2)W

        528 = 66W

            8 = W  (divide both sides by 66)

Answer:

10^5

Step-by-step explanation:

100,000

= 10 x 10 x 10 x 10 x 10

= 10^5

only the last one since the others don’t pass the vertical line test

which is when you draw a straight line down your function and if it hits 2 or more points it is not a function

The correct graph should have x values that have no more than one y value.

Depending on the kind of function that is graphed, various graph types exist.

Linear, power, quadratic, polynomial, rational, exponential, logarithmic, and sinusoidal graphs are the eight most often used types.

Learn more about function graph https://brainly.com/question/9834848

here

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Answer:

Option c

[tex]y\geq-3[/tex] or [tex]y \leq 21[/tex]

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function [tex]f(x) = |x|[/tex]  x> 0 for all real numbers.

Then the inequation:

[tex]|y-9| \leq 12[/tex] has two cases

[tex](y-9)[/tex]    if [tex]y \geq 9[/tex]  (i)

[tex]-(y-9)[/tex]    if [tex]y < 9[/tex] (ii)

We solve the case (i)

[tex]y \leq 9 + 12\\y\leq21[/tex]

We solve the case (ii)

[tex]-y +9 \leq 12\\-y \leq 12-9\\y \geq -3[/tex]

Then the solution is:

[tex]y\geq-3[/tex] or [tex]y \leq 21[/tex]

Answer:

its c the answer above me is correct

Step-by-step explanation:

Answer:

1 and 8 are the ones you should choose.

Step-by-step explanation:

Answer: ∠1 and ∠8

Step-by-step explanation:

Given : Line b is parallel to line c .

In the given figure , a traversal line is passing through line b and c.

∠2=120°

Then , ∠1 +∠2=180°   [linear pair]

⇒ ∠1=180°-120°=60°

Now, ∠4 and ∠1 are vertical angles.

Since vertical angles are congruent.

∴ we have , ∠4 ≅ ∠1 =60°

Also, ∠4 and ∠8 are corresponding angles and corresponding angles are congruent.

∴ we have , ∠4 ≅ 8 =60°

∠2 cannot be congruent to ∠4, since both have different measures

∠7 cannot be congruent to ∠4, since ∠7 is congruent to ∠2 (Alternate exterior angles)

Answer:

3 m^2

Step-by-step explanation:

The shaded area = Area of Sector - Area of Triangle

First we find area of sector = [tex]\frac{\theta}{360}*\pi r^2[/tex]

We know the angle is 60° (vertical angles are equal) and the radius is 6, so we find the area of sector to be:

[tex]\frac{\theta}{360}*\pi r^2\\\frac{60}{360}*\pi (6)^2\\=18.85[/tex]

Secondly, we find area of triangle (isosceles) = [tex]\frac{1}{2}abSinC[/tex]

where

a and b are the two sides bordering the known angle, so a=b=6, and

C is the angle which is 60°

Now we find the area to be:

[tex]\frac{1}{2}(6)(6)Sin(60)\\=15.59[/tex]

Hence, area of shaded = [tex]18.85 - 15.59=3.26[/tex]

Rounding to nearest whole number, area of shaded region = 3m^2

Answer:

  yes, -6

Step-by-step explanation:

6/-1 = -36/6 = 216/-36 = -6

Adjacent terms have a common ratio of -6, so they comprise a geometric sequence.

Answer:

The standard form of the quadratic equation is [tex]f(x)=-2x^{2}+12x-16[/tex]

Step-by-step explanation:

we know that

The standard form of a quadratic equation is

[tex]f(x)=ax^{2}+bx+c[/tex]

we have

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

convert to standard form

[tex]f(x)=-2(x-3)^{2}+2\\f(x)=-2(x^{2} -6x+9)+2\\f(x)=-2x^{2}+12x-18+2\\f(x)=-2x^{2}+12x-16[/tex]

Answer:

Step-by-step explanation:

Any one color would be 1/4 of the total. So the number of times you should get red is 1/4 of 160 = 40

Notice that this very odd problem does not depend on what the total is. It only depends on the number of times you make the draw. Unusual question.

Answer:

-5/7 x 1/5 = -5/35 = -7

The answers is -1/7

Hope it helped!!

Answer: OPTION A

Step-by-step explanation:

To simplify the expression you must multiply the numerator and the denominator of the expression by √3.

As all the square roots have equal index, you can multiply the radicands, which are the numbers inside of the sqaures roots.

You also must keep on mind that:

[tex](\sqrt[n]{a})^n=a[/tex]

Therefore, you obtain:

[tex]\frac{6\sqrt{2}*\sqrt{3}}{\sqrt{3}*\sqrt{3}}=\frac{6\sqrt[]{6}}{3}=\frac{2\sqrt[]{6}}{3}[/tex]

Answer:

The correct answer is option B.  2√6

Step-by-step explanation:

It is given that an expression, 6√2/√3

To simplify the expression

6√2/√3

Multiplying numerator and denominator with √3

6√2/√3 = (6√2 x √3)/(√3 x √3)

  = [ 6 x √(2x3)]/3)                    (√2 x √3 = √(2 x 3)

  = 6√6/3  

  = 2√6

Therefore the simplified form of given expression 6√2/√3 is 2√6.

The correct answer is option B. 2√6

Answer:

10) 40,80,160

11) 64, 256, 1024

12) 5, 2.5, 1.25

Step-by-step explanation:

Hope this helps. :)

Answer:

15' x 20' = 300 square foot

2,275 x 300 = 7.583

17 x 22 = 374

374 x 7.583 = 2,836.042

Which you have to round to the nearest dollar

2,836.042 which will come out to be $2,837.00

Step-by-step explanation: