Which equation represents a line with a slope of zero?
O y= 2x
O y=-3x+
O y=4
O x=-5

The fraction 4/3 we get by using the  numbers 3 and 4 to make a fraction that is greater than 1 and a fraction less than 1

To make a fraction greater than 1 using the numbers 3 and 4, we can divide 3 by 4 and add 1.

3/4 + 1 = 7/4

The resulting fraction, 7/4, is greater than 1 because the numerator (7) is greater than the denominator (4).

We can also see this by writing 7/4 as a mixed number:

7/4 =\(1\frac{3}{4}\)

The whole number part of the mixed number is 1, which means the fraction is greater than 1.

To make a fraction less than 1 using the same numbers, we can divide 4 by 3. This gives us:

4/3

The resulting fraction, 4/3, is less than 1 because the numerator (4) is smaller than the denominator (3).

We can also see this by writing 4/3 as a mixed number:

4/3 =\(1\frac{1}{3}\)

The whole number part of the mixed number is 1, which means the fraction is less than 1.

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Answer:

Step-by-step explanation:

A

1) Given this function, let's work with that as a polynomial

2) According to the Rational Roots (zeros) Theorem we can write the divisor of the independent term: 12 and the divisors of the leading term:

Divisors of 12: 1, 2, 3, 4, 6, 12

Divisors of 1: 1

Writing this as quotient:

3) Hence, these are the possible zeros of that function/polynomial are on option A.

Note: We need to verify to state whether they are or not actual zeros.

Answer:

She Jen djzksndhdi

Step-by-step explanation:

Answer:

Thank you so much!! let me know if you need any help on anything!

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

sorry please be a bit more clear on what help you would like

Answer:

A, C, and D

Step-by-step explanation:

Remember that in a function, every unique input must have one output. Therefore, two or more outputs cannot have the same input. Knowing this, we can eliminate choice B. Therefore, A, C, and D are correct.

Answer:

A, C, D are all functions

Step-by-step explanation:

functions have a single output value for any unique input.

A can be rearranged to y = -2x - 8 which is linear with a non-infinite slope and is a function

C is a parabolic opening downward. Only a single output for each unique input.

D acts as a function as each unique input has a single output, even though that output may not be unique. The thing about table functions is it's hard to predict when a single input might create multiple output values.

B is not a function as an x input, lets say x = 2 will have outputs of y = 3  and y = -3.  

Answer:

3/5 so A.

Step-by-step explanation:

Answer:

slope = \(\frac{3}{5}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (1, 5)

m = \(\frac{5-2}{1-(-4)}\) = \(\frac{3}{1+4}\) = \(\frac{3}{5}\)

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According to the information, the perimeter of the triangle is ≈ 31.18

To find the distance between two points, we can use the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's label the coordinates as follows:

Point 1: (-2, 3)

Point 2: (3, -2)

Now we can substitute these values into the distance formula:

distance = sqrt((3 - (-2))^2 + (-2 - 3)^2)

distance = sqrt((5)^2 + (-5)^2)

distance = sqrt(25 + 25)

distance = sqrt(50)

distance ≈ 7.07

Therefore, the distance from (-2, 3) to (3, -2) is approximately 7.07 units.

To find the perimeter of the triangle, we need to find the length of all three sides of the triangle and then add them up.

Using the distance formula, we can find the length of the sides:

Side 1: (-2,3) to (3,-2)

d = √[(3 - (-2))^2 + (-2 - 3)^2]

= √[5^2 + (-5)^2]

= √50

= 5√2

Side 2: (3,-2) to (-7,-2)

d = √[(-7 - 3)^2 + (-2 - (-2))^2]

= √[(-10)^2 + 0^2]

= 10

Side 3: (-7,-2) to (-2,3)

d = √[(-2 - (-7))^2 + (3 - (-2))^2]

= √[5^2 + 5^2]

= 5√2

Therefore, the perimeter of the triangle is:

5√2 + 10 + 5√2 = 15√2 + 10 ≈ 31.18 (rounded to two decimal places)

An two of the three sides are equal, so it is an isosceles triangle.

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Answer:

Please attach a photo to this so I can better answer your question

Answer:

The graph that shows the translation f(x) = f(x) + 1 is the graph that is shifted upward by one unit on the y-axis. All the points on the graph have been moved upward by one unit, but the shape of the graph remains the same as the parent function.

The dotted line graph that shows the translation f(x) = f(x) + 1 is the one where the graph is shifted upward by one unit on the y-axis.

Answer:

An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.

To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.

Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is

20,18,16,14,12

In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.

Answer:

The cellphone towers height is 1020 ft.

Step-by-step explanation:

This question is solved using proportions, by a rule of three.

A 10-ft post casts a 14-inch shadow.

Each feet has 12 inches, which means that a post with 10 feet will cast a 14/12 = 1.167 ft shadow. How tall is the cell-phone tower with a 119-feet shadow?

10 feet post - 1.167 ft shadow

x feet tower - 119 feet shadow

Applying cross multiplication:

\(1.167x = 10*119\)

\(x = \frac{1190}{1.167}\)

\(x = 1020\)

The cellphone towers height is 1020 ft.

Answer:

B: 12:240

Step-by-step explanation:

you can divide the ratios to see if they are equivalent.

9/180= 0.05 or 1/20

12/240= 0.05 or 1/20  

Answer:

a

Step-by-step explanation:

"The solutions to the equation are complex conjugates of each other" as Lindsey is solving the quadratic equation \(x^2\)−2x+6=0.

To solve the quadratic equation \(x^2 - 2x + 6 = 0\), Lindsey can use the quadratic formula:

x = (-b ± √(\(b^2\) - 4ac)) / 2a

In this case, a = 1, b = -2, and c = 6. Substituting these values into the formula, we get:

x = (-(-2) ± √(\((-2)^2\) - 4(1)(6))) / 2(1)

x = (2 ± √(-20)) / 2

Since the discriminant (\(b^2\) - 4ac) is negative, the square root of -20 is an imaginary number.

Therefore, the two solutions to the equation are complex conjugates of each other:

x = (1 + √5i) and x = (1 - √5i)

Thus, the correct statement is: "The solutions to the equation are complex conjugates of each other."

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(4). If we break down this piecewise function, we have 3 main expressions to deal with, 'h(x) = 5 if {x ≥ 4}' (represented by the green graph) 'h(x) = x if {0 ≤ x ≤ 4}' (represented by the blue graph) and 'h(x) = 1 / 2x + 2 if {x < 0}' (represented by the red graph).

Take a look at the attachment below for your graph of these 3 functions / expressions.

(5). For this part we want to determine the average rate of change of the function f(x) = 4x² - 5x - 8 over the interval [- 2,3]. Remember that to calculate average rate of change between the 2 points we use the following formula...

f(b) - f(a) / b - a,

f(3) = 4(3)² - 5(3) - 8 = 4(9) - 15 - 8 = 36 - 15 - 8 = 13,

f(- 2) = 4(- 2)² - 5(- 2) - 8 = 4(4) + 10 - 8 = 16 + 10 - 8 = 18

13 - 18 / 3 - (- 2) = - 5 / 5 = - 1

Therefore the average rate of change of the function f(x) = 4x² - 5x - 8 over the interval [- 2,3] will be - 1.

The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.

The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.

Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.

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Answer:

a. closed under addition and multiplication

b. not closed under addition but closed under multiplication.

c. not closed under addition and multiplication

d. closed under addition and multiplication

e. not closed under addition but closed under multiplication

Step-by-step explanation:

a.

Let A be a set of all integers divisible by 5.

Let \(x,y\)∈A such that \(x=5m\,,\,y=5n\)

Find \(x+y,xy\)

\(x+y=5m+5n=5(m+n)\)

So, \(x+y\) is divisible by 5.

\(xy=(5m)(5n)=25mn=5(5mn)\)

So,

\(xy\) is divisible by 5.

Therefore, A is closed under addition and multiplication.

b.

Let  A = { 2n +1 | n ∈ Z}

Let \(x,y\)∈A such that \(x=2m+1\,,\,y=2n+1\) where m, n ∈ Z.

Find \(x+y,xy\)

\(x+y=2m+1+2n+1=2m+2n+2=2(m+n+1)\)

So,

\(x+y\) ∉ A

\(xy=(2m+1)(2n+1)=4mn+2m+2n+1=2(2mn+m+n)+1\)

So,

\(xy\)∈ A

Therefore, A is not closed under addition but A is closed under multiplication.

c.

\(Let A=\{2,5,8,11,14,...\}\)

Let \(x=2,y=5\) but \(x+y=2+5=7\)∉A

Also,

\(xy=2(5)=10\)∉A

Therefore, A is not closed under addition and multiplication.

d.

Let A = { 17n: n∈Z}

Let \(x,y\) ∈ A such that \(x=17n,y=17m\)

Find x + y and xy

\(x+y=17n+17m=17(n+m)\)

\(xy=(17m)(17n)=289mn=17(17mn)\)

So,

\(x+y,xy\) ∈ A

Therefore, A is closed under addition and multiplication.

e.

Let A be the set of nonzero real numbers.

Let \(x,y\) ∈ A such that \(x=-1,y=1\)

Find x + y

\(x+y=-1+1=0\)

So,

\(x+y\) ∈ A

Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.

Therefore, A is not closed under addition but A is closed under multiplication.

Answer:

\((-6)^{7}\)

Step-by-step explanation:

using the rule of exponents

• \(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

then

\((-6)^{5}\) × (- 6)²

= \((-6)^{(5+2)}\)

= \((-6)^{7}\)

Answer:

Day 15

Step-by-step explanation: If you know how to find common denominators or numerators, you do that.

If you multiply 5 x 3, it equals 15 days. Does three go into 15? Yes!  That means that they will first meet at day 15

Answer:

it is b

Step-by-step explanation: hope help

Answer:

number is 2

Step-by-step explanation:

let the number be n then 8 times the number is 8n, subtract 1 from this and

8n - 1 = 15 ( add 1 to both sides )

8n = 16 ( divide both sides by 8 )

n = 2

that is the number is 2

In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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We want to see which one of the given variables is a discrete variable, the correct option is "number of pockets inside jacket"

A discrete variable is a variable that can't take some values in a given interval where it is defined, in contrast to a continuous variable, which can take all the values of the interval.

For example, the "length of a jacket" would be considered a continuous variable, as the length can take any measure you want.

Similar for the weight and the size of the jacket pocket in square inches, these are continuous variables.

But the remaining option is not continue, the number of pockets inside the jacket can only be an integer, then there are values (like 1.3) that can't represent the number of pockets inside the jacket, thus, this is a discrete variable.

So the correct option is the first one: "number of pockets inside jacket"

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Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

Answer:

\(\angle{EBC}=35\textdegree\)

An angle bisector divides the angle measure into two equal parts. In triangle ABC, B is the point at which the angle lies.

Step-by-step explanation:

Picture segment BD drawn from point B of tri.ABC where it connects to segment AC, creating point D. Now picture E drawn on the newly created segment DC where it connects to point B and down to point C. Here's a drawing to better show this:

It's bisecting the bisected angle ABC. So, 140/2 = 70, and 70/2 = 35.

The solution by substituting 15 for b in the Original equation. The answer is true.

The steps needed to solve the equation b + 6 = 21 are:

Subtract 6 from both sides of the equation: b + 6 - 6 = 21 - 6, which simplifies to b = 15.

Check the solution by substituting 15 for b in the original equation: 15 + 6 = 21, which is true.

Therefore, the correct steps to solve the equation are:

Subtract 6 from both sides of the equation. The answer is b = 15

the solution by substituting 15 for b in the original equation. The answer is true.

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