Write a quadratic function f whose zeros are 8 and -3.

Answer: The equation of a line perpendicular to 2x + 2y = - 10 that passes through the point (6, 2) is y = x - 4

The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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Answer:

Qualitative variable.

See explanation below.

Step-by-step explanation:

In research we have two types of variables: the quantitative and the qualitative variables.

In this example we are asked about our favorite city, we can see that the possible answers for this question are: Dallas, Seattle, Washington, Paris, etc.. these are not numbers so therefore this is an example of qualitative variable.

Answer:

22

Step-by-step explanation:

I assume the claim is being made for integers \(n\ge1\), not just any integer.

Basis step: Let \(n=1\). Then

\(\displaystyle \sum_{i=1}^1 i^3 = 1^3 = 1\)

\(\dfrac{1^2(1+1)^2}4 = \dfrac{2^2}4 = 1\)

so this case holds.

Inductive step: Assume

\(\displaystyle \sum_{i=1}^k i^3 = \frac{k^2 (k+1)^2}4\)

As a result, we want to show that

\(\displaystyle \sum_{i=1}^{k+1} i^3 = \frac{(k+1)^2 (k+2)^2}4\)

Now,

\(\displaystyle \sum_{i=1}^{k+1} i^3 = \sum_{i=1}^k i^3 + (k+1)^3 \\\\ ~~~~~~~~ = \frac{k^2(k+1)^2}4 + (k+1)^3 \\\\ ~~~~~~~~ = \frac{k^2(k+1)^2 + 4(k+1)^3}4 \\\\ ~~~~~~~~ = \frac{(k+1)^2 \bigg(k^2 + 4(k+1)\bigg)}4 \\\\ ~~~~~~~~ = \frac{(k+1)^2 (k^2 + 4k + 4)}4 \\\\ ~~~~~~~~ = \frac{(k+1)^2 (k+2)^2}4\)

QED

Answer:

Is there any answer choices so I have some opions

Step-by-step explanation:

The solution set for the equation\((\sqrt(x+1)^{2} ) + 3x = 0\) is {x = -1/4, x = 1/2}.

To find the solution set for the equation (√(x+1)²) + 3x = 0, we can simplify the equation and solve for x.

First, let's simplify the equation:

\((\sqrt(x+1)^{2} ) + 3x = 0\)

Taking the square root of (x+1)² yields:

|x + 1| + 3x = 0

Now, we can split the equation into two cases based on the absolute value:

Case 1: (x + 1) + 3x = 0 (when x + 1 is positive)

Case 2: -(x + 1) + 3x = 0 (when x + 1 is negative)

Solving Case 1:

x + 1 + 3x = 0

4x + 1 = 0

4x = -1

x = -1/4

Solving Case 2:

-(x + 1) + 3x = 0

-x - 1 + 3x = 0

2x - 1 = 0

2x = 1

x = 1/2

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Answer:

no. a function doesnt contain an = sign

Step-by-step explanation:

Answer:

Yes, it is a function.

Explanation:

xy + 6y = 9

y(x + 6) = 9

y = 9/(x + 6)

It is a inverse variation function.

Where equation: xy = k               ["k" is constant]

Answer:

$28.35

Step-by-step explanation:

The headphones are $80.99 and are 35% off. To find the amount he will save, change the 35% to a decimal by moving it two times to the left, which is 0.35. Multiply 80.99 and 0.35 to get 28.3465. Round to get $28.35.

The circle with center (-1,1) is

(x - -1)² + (y - 1)² = r²

(x + 1)²  + (y - 1)² = r²

where r is the unknown radius.

(4,2) is on the circle so

(4 + 1)² + (2 - 1)² = r²

So is (-5, -3)

(-5 + 1)² + (-3 - 1)² = r²

Those are equal so our answer is

Answer:  A.   (4 + 1)² + (2 - 1)² = (-5 + 1)² + (-3 - 1)²

Answer:

A.

Step-by-step explanation:

The equation of circle with center (-1,1) is

(x+1)+(x-1) = r²

Since r² is unknown, We'll find it out by distance formula by point (4,2)

r² = (4+1)²+(2-1)

For point (-5,-3) lying on the circle, it's distance should be equal to the above r²

But the distance isn't equal and

(4+1)²+(2-1)² ≠ (-5+1)²+(-3-1)² So Point (-5,-3) is not on the circle

Answer: A=53.576 degrees

Step-by-step explanation:

Cos A= adjacent/hypt

Cos A= 19/32

Cos A= .59375

inverse of Cos A=.59375

A=53.576 degrees

Answer:

A = 53.58°

Step-by-step explanation:

cos A = 19/32

cos A = 0.5938

A = 53.58°

Answer:

Explanations:

Given the system of equations:

- 2x + y = 7 .................................... 1

- 2x + y = -6 .................................. 2

Subtract both equations from each other to have;

-2x-(-2x) + (y-y) = 7 - (-6)

0x = 7 + 6

0x = 13

Divide both sides by 0

0x/0 = 13/0

x = 13/0

x = ∞

This shows that the system of equations has no solution

Answer:

y=13

Step-by-step explanation:

The Area function \(A(x) = 2x * \sqrt(16 - x^2).\)

(a) For a rectangle inscribed in a semicircle of radius 4 cm, let half-length be x and height be y.

Therefore, the Area function \(A(x) = 2x * \sqrt(16 - x^2).\)

(b) Maximum area occurs when x = \(4 * sin(\pi/4), so A(4 * sin(\pi/4)) = 16 cm^2.\)

(c) Dimensions for the largest inscribed rectangle are smaller dimension (height) ≈ of 2.83 cm, a larger dimension (base) ≈ of 5.66 cm.

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This question is of a topic called subset that is a part of set theory.

statement 1 is true. statement 2 is true. statement 3 is false, statement 4 is true.

I assume the questioner has the basic understanding of set theory and what subsets are.

Statement 1st "{1,2,3,4,5} ⊄ {1,2,4}" is true because here not every element of set {1,2,3,4,5} is an element of set {1,2,4}.

Statement 2nd "{11, 13, 15} ⊂ { 11, 12, 13, 14, 15, 16, ... }"  that is set {11, 13, 15} is a proper subset of set { 11, 12, 13, 14, 15, 16, ... } is true since every element of set {11, 13, 15} belongs to set { 11, 12, 13, 14, 15, 16, ... } also set

{11, 13, 15} is not equal to set  { 11, 12, 13, 14, 15, 16, ... }.

statement 3rd "∅ ⊈ {d, f, g, n}" is false since ∅ = null set is the subset of every set.

statement 4th "{21, 22, 23, 26, 29} ⊆ {21, 22, 23, 26, 29}" is true both sets have same elements therefore are subsets of each other and hence both are also equal to each other.

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The angle from the options given that is shown in the drawing is: D. <LIJ.

An angle is a geometric figure that is formed by two rays that share the same endpoint, called the vertex. The rays are called the sides of the angle, and the endpoint is called the vertex.

In the drawing given,  IJ and LI are two segments that have a common endpoint called vertex I.

Points L, I, and J forms an angle whose vertex is at I, as shown in the image given. Thus, the angle shown in the drawing is: D. ∠LIJ.

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The angular speed in radians per second in which he is traveling is 60.2pi inch/sec.

Speed describes how accelerated something or somebody is moving. If you know the distance traveled and the time it took, we can calculate the average speed of an object.

The speed formula is speed = distance / time.

Given that;

The diameter of bicycle wheel= 28inches

Rpm of wheel = 130rpm

Now,

Angular speed ω = 2pi*N/60 radian per second.

=2*pi*130/60

=260pi/60

=4.3pi radian per second

Speed of bicycle V = r*ω

V=14*4.3pi

V=60.2pi inch/sec

Therefore, the angular speed of ryan by the data is 60.2pi inch/sec.

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Answer:

8 x 8 =64 + 16 x 8 = 128 =$192

Step-by-step explanation:

Answer:

$901.64

Step-by-step explanation:

Given data

rate= 7%

Final amount = $1650

time= 9 years

Let us apply the compound interest formula to solve for the Principal amount P

A=P(1+r)^t

substitute

1650=P(1+0.07)^9

1650=P(1.07)^9

1650=P1.84

Divide both sides by 1.84

P=1650/1.83

P=901.64

Hence she needs to invest $901.64

Answer:

880

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

12 = 2 × 2 × 3

32 = 2 × 2 × 2 × 2 × 2

Greater Common Factor = 2 × 2 = 4

The distance between Basti and Cian is approximately 138.2 ft. Option D

To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.

Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.

Given:

Angle ABC = 50 degrees (angle opposite side AC)

Angle BAC = 60 degrees (angle opposite side BC)

Ali is 150 ft away from Basti (side AB)

We want to find the distance between Basti and Cian, which is side BC.

Using the Law of Sines, we have:

BC/sin(50) = AB/sin(60)

Substituting the known values:

BC/sin(50) = 150/sin(60)

To find BC, we can rearrange the equation:

BC = (150/sin(60)) * sin(50)

Using a calculator to evaluate the expression:

BC ≈ 138.2 ft

Option D is correct.

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Answer:

It is correct please I do not want yo sound rude can you give me brainliest answer.

Answer:

correct steps

Step-by-step explanation:

if asked to find angles in terms of the ratios, then don't forget to shift sin / cos / tan across the equal sign and change it to arc sin / cos / tan.

Step-by-step explanation:

2.3 * (-1.2)

= -2.76.

Hence the answer is -2.76.

Answer:

\(\Large \boxed{\sf -2.76}\)

Step-by-step explanation:

Answer:5

Step-by-step explanation:

5098

The equations that represent the circle having a with radius 8 and center (10,−7) are; (x - 10)² + (y + 7)² = 8²

The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle, and r is its radius.

We have given that circle having radius of 8 units. Thus, r = 8.

Since we know that circle having the center (10,−7).

Thus, the equation of the circle, with a radius of 8 units is;

(x - h)² + (y - k)² = r²

(x - 10)² + (y + 7)² = 8²

Thus, the equations that represent the circle having a with radius 8 and center (10,−7) are; (x - 10)² + (y + 7)² = 8²

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Answer:

An average chicken breast weighs 174 g, or about 6 ounces (oz). But sizes vary from smaller cuts at around 4 oz, to larger ones at 8 to 10 oz. There's no right or wrong choice here. It really depends on what you're cooking and how much chicken you want.

Answer:

Step-by-step explanation:

Answer:

u > 7

Step-by-step explanation:

-2u -6 < -20  Add 6 to both sides

-2u - 6 + 6 < -20 + 6

-2u < -14  Divide both sides by -2.  When you multiply or divide both sides by a negative number, you must flig the sign.

\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)

u > 7

Helping in the name of Jesus.

The answer is:

u > 7

In-depth explanation:

You haven't told me what the values of u are, but I'll solve the equation for u.

Add 6 on each side:

\(\bf{-2u-6 < -20}\)

\(\bf{-2u < -14}\)

Divide each side by -1 and reverse the sign:

\(\bf{2u > 14}\)

Now divide each side by 2

\(\bf{u > 7}\)

Answer:

B

Step-by-step explanation:

rewrite 1.27 in the calculater and math enter enter

The fraction represented by point A, it is crucial to have information about the scale, intervals, and the relative position of point A on the number line.

With these details, you can calculate the fraction accurately.

Point A on the number line represents a fraction that requires additional information to determine its precise value.

I can provide you with a general approach to finding the fraction corresponding to a given point on the number line.

A number line represents a range of values, typically with a specific scale or interval.

The scale can be divided into equal parts, such as units or fractions.

To determine the fraction represented by point A, we need to know the scale and the position of point A relative to that scale.

Let's consider a number line that ranges from 0 to 1, with evenly spaced tick marks representing tenths.

If point A is located halfway between the tick marks representing 0.4 and 0.5, then it represents the fraction 0.45 (or 9/20 in simplified form).

If the number line has a different scale or is divided into different intervals, the fraction represented by point A will be different.

Without specific details about the number line and the position of point A, it is impossible to determine the fraction precisely.

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