HELP ASSAP 20 POinTSSSSSSSSSSSSSS

Answer:

zeros:  x = -4 and x = 1

axis of symmetry:  x = -1.5

vertex:  (-1.5, -2)

Step-by-step explanation:

The zeros are where the curve intercepts the x-axis.

Therefore, the zeros are x = -4 and x = 1

The axis of symmetry is the vertical line that goes through the vertex (turning point) so that the left and right sides of the parabola are symmetrical.

Therefore, the axis of symmetry is at x = -1.5

The vertex is the turning point of the parabola.  As this parabola opens upwards, the vertex is the minimum point.

Therefore, the vertex is (-1.5, -2)

#1

Zeros are the x intercepts

#2

Vertex is shown in graph

#3

Axis of symmetry line passes through vertex

Suppose \(f(x) =8^{3x\) and \(g(x) =8^{4x\), function operations that are correct include the following:

A. (f + g)(x) = \(8^{3x} + 8^{4x}\)

B. (f × g)(x) = \(8^{7x}\)

C. (f - g)(x) = \(8^{3x} - 8^{4x}\)

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the division and multiplication law of exponents for powers of the same base to the functions, we have the following:

(f × g)(x) = \(8^{3x+ 4x}=8^{7x}\)

(f ÷ g)(x) = \(8^{3x- 4x}=8^{-x}\)

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Answer:

70  cm

Step-by-step explanation:

Answer:

70 cubic feet

Step-by-step explanation:

First step is to multiply the 2 feet deep by th 5 feet wide. which is also written as:

2*5=10

Next multiply 10 by the 7 feet tall. You can write this like:

10*7=70

70 cubic feet is the answer

Answer: 147.2° ≈ 148°

Step-by-step explanation: {n-2}×180°/n

Answer:vertical

Step-by-step explanation:

Answer:

$840.77

Step-by-step explanation:

Answer: it will be D

Step-by-step explanation: if You graph them you will get the same coordinate plates

Answer:

$0.06

Step-by-step explanation:

First, find how many inches are in 8 feet.

Since 1 foot is 12 inches, multiply 8 by 12:

8(12)

= 96

Then, to find the price per inch, divide the price by the number of inches:

5.76/96

= 0.06

So, the price per inch is $0.06

Answer:

$0.06

Step-by-step explanation:

There are 12 inches in a foot, and there are 8 feet all together, meaning there is 96 inches for $5.76.

Divided the cost y the number of inches to get the cost per inch,

5.76 divided by 96 = 0.06.

Answer:

5,6,7 because they are in line with the letter

The calculated volume of the solid figure is 421.08 cubic feet

From the question, we have the following parameters that can be used in our computation:

Base area = 38.28 square feet

Height = 11 feet

Using the above as a guide, we have the following:

Volume = Base area * Height

substitute the known values in the above equation, so, we have the following representation

Volume = 38.28  * 11

Evaluate

Volume = 421.08

Hence, the volume of the solid figure is 421.08 cubic feet

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Given

Procedure

Factoring

Answer:

x ≠ – 7

9514 1404 393

Answer:

Step-by-step explanation:

Using w and h for the costs of a waffle and hashbrowns, respectively, we can write the equations for the purchase amounts as ...

  w + h = 9.50

  2w + 3h = 20.50

Subtracting twice the first equation from the second gives ...

  (2w +3h) -2(w +h) = (20.50) -2(9.50)

  h = 1.50 . . . . . . simplify

  w = 9.50 -h = 8.00 . . . . . find w using the first equation

The cost of a waffle is $8.00; the cost of hashbrowns is $1.50.

The length of the towel bar is 9.5 inches.

Length is used to measure distance, In the International System of Quantities, a quantity with the distance dimension is referred to as length. The majority of measurement systems select a base unit for length from which all other units are derived. The metre serves as the International System of Units' fundamental unit of length.

Suppose, the length of the towel bar is x inches

The distance from each end of the towel bar to the end of the door is 9

inches. So, the total width of the door will be:[(x+(9*2)]=(x+18) inches

Given that, the width of the door is 27 inches 27.5 So, the equation will be.

x+18=27.5

x=27.5-18=9.5

Thus, the length of the towel bar will be 9.5 inches.

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Answer:

To find the enclosed area within the boundaries defined by the equations, we first need to identify the region formed by these boundaries. Let's graph the equations and determine the area enclosed.

The equations are:

y = x^2 - 6

y = 2 - 1/3x

x = 10

x = -5

To graph these equations, we can plot the points and connect them to form the boundaries.

Here's the graph:

markdownCopy code

| * | * | * * | * * | * * * * | * * * * | * * * * | * * * * * | * * * * * | * * * * * |________________ -5 10

From the graph, we can see that the enclosed area is a triangle formed by the boundaries. To calculate the area, we can find the base and height of the triangle.

The base of the triangle is the horizontal distance between the x-coordinates of -5 and 10, which is 10 - (-5) = 15 units.

The height of the triangle is the vertical distance between the y-coordinate of the points where the lines intersect, which is (2 - 1/3(10)) - (10^2 - 6) = 2 - 10/3 - (100 - 6) = -3.67.

Now, we can calculate the area of the triangle:

Area = (1/2) * base * height = (1/2) * 15 * (-3.67) = -27.51 square units

The enclosed area within the boundaries defined by the equations is approximately -27.51 square units.

Answer:

The first event is represented by a dot. From the dot, branches are drawn to represent all possible outcomes of the event. The probability of each outcome is written on its branch.

Step-by-step explanation:

Answer:

Solution for For Exercise, graph the solution set. −30x ≥ 20y + 600. ... Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 ... Q: Use the intermediate value theorem to show that the polynomial function has a zero in the ...

Step-by-step explanation:

Answer:

All values less than 30.

Step-by-step explanation:

Answer:

c. 20%

Step-by-step explanation:

3/15=1/5

1 divided by 5 = .2

Move decimal point 2 times to get percent.

20%

Answer:

1cm:20cm

Step-by-step explanation:

10cm:2m

1m=100cm

10cm:200cm

÷10

1cm:20cm

In response to the stated question, we may state that As a result, we can triangle only state that angle A is congruent to angle P, angle B to angle Q, and angle C to angle R.

A triangle is a closed, two-dimensional geometric shape made up of three line segments called sides that intersect at three points called vertices. Triangles may be identified by their sides and angles. Based on their sides, triangles might be equilateral (all sides equal), isosceles, or scalene. Triangles are classed as acute (all angles less than 90 degrees), right (one angle equal to 90 degrees), or obtuse (all angles more than 90 degrees) (all angles greater than 90 degrees). The area of a triangle may be calculated using the formula A = (1/2)bh, where A is the area, b is the base of the triangle, and h is the height of the triangle.

To demonstrate the similarity of two triangles, we must demonstrate that their respective angles are congruent and their corresponding sides are proportionate.

∆ABC ~ ∆PQR

We can see from the triangles that angle A is congruent with angle P, angle B is congruent with angle Q, and angle C is congruent with angle R. As a result, we have the angle-angle (AA) similarity:

∆ABC ~ ∆PQR

\(AC/PR = 13/16 \\AB/PQ = 5/8 \\BC/QR = 12/16 = 3/4 \\AC/PR = 13/16\)

Because the matching side length ratios are not entirely equal, the triangles are not comparable according to the side-angle-side (SAS) similarity theorem. As a result, we can only state that angle A is congruent to angle P, angle B to angle Q, and angle C to angle R.

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Answer:

1350

Step-by-step explanation:

A:B = 13:5 = 975:x

x=975/13*5 =375

total =975+375 = 1350

We use the proportional method

Let A = water used in household A.

Let B = water used in household B.

A to B = 13 to 5

A = 260 gal

260 to B = 13 to 5

260/B = 13/5

13B = 5 * 260

B = 100

A + B = 260 + 100 = 360

The total is 360 gallons.

Answer:

3.75

Step-by-step explanation:

First we need to get the numbers into decimal form

3/4 can be written into 75

So the mittens weighed 2.75

So we subtract 6.5 and 2.75

Which is 3.75

So the mitten gained 3.75 pounds

Hope this helps!

Answer:

3.75

Step-by-step explanation:

Subtract to find the difference

2 3/4 is 2.75 as a decimal

6.5 - 2.75 = 3.75

Check the answer

2.75 + 3.75 = 6.5

So u can see Mittens gained 3.75 pounds between the time he was a kitten and his 6-month check up.

Answer:

11

Step-by-step explanation:

5(m - 3) = 40

We're just trying to find the value of m that equals to 40, so let's plug it into the calculator.

The answer is positive 11 because,

5(11 - 3) = 40

Answer:

m=9

Step-by-step explanation:

distribute the 5 throughout the equation

5m-15=40

add 15 to both sides

5m=45

divide both sides by 5

m=9

Answer: n=0 or n=2

Step-by-step explanation: Step 1: Subtract 2n from both sides.

n²−2n=2n−2n

n²−2n=0

Step 2: Factor left side of equation.

n(n−2)=0

Step 3: Set factors equal to 0.

n=0 or n−2=0

n=0 or n=2

The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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Answer:

Hope this helps

Step-by-step explanation:

5) Since AB = BC, this means that  ∠1 = ∠2

this would mean that BD bisects ∠ABC

Line AD = DC, and BD intersects at the angle of ADC, meaning that

∠3 = ∠4

6) M must be the midpoint of AC as M is perpendicular to BD, making M the Midpoint of AC

Answer:

  (x, y) = (5, 2)

Step-by-step explanation:

You want to use the elimination method to solve these equations:

To solve the equations by the elimination method you want to combine them in such a way that the coefficient of one of the variables is zero.

The coefficients of x are 4 and 3, so we can eliminate the x variable by multiplying the first equation by 3 and the second equation by -4 before we combine (add) them.

The coefficients of y are 2 and -4, so we can eliminate the y variable by multiplying the first equation by 2 before we combine (add) them. This seems simpler.

  2(4x +2y) +(3x -4y) = 2(24) +(7)

  11x = 55 . . . . . . . . simplify

  x = 5 . . . . . . . . divide by 11

  4(5) +2y = 24 . . . . . . substitute for x in the first equation

  2y = 24 -20 . . . . . subtract 20

  y = 2  . . . . . . . . divide by 2

The solution is (x, y) = (5, 2).

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Answer:

C

\( \sqrt{48} = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{16 \times 3} \\ = 4 \sqrt{3} \)

The prime factorization to write \(\sqrt{48}\) in the simplest form as  

48 = V2 -2 -2 -2 - 3 = 4V3

Prime factorization of any number indicates to express that number as a product of prime numbers. A prime number exists as a number that has precisely two factors, 1 and the number itself.

We require to express 48 as the product of its prime factors as 48.

= 2 \(\times\) 3 \(\times\) 2 \(\times\) 2 \(\times\) 2.

Therefore, \($\sqrt{48}=\sqrt{ (2 \times 2 \times 2 \times 2 \times 2)}\)

\($=4 \sqrt{3}$\)

\($4 \sqrt{3}$\) exists in the lowest radical form.

Therefore, the correct answer is option C. 48 = V2 -2 -2 -2 - 3 = 4V3.

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