Select the correct answer.
If the factors of quadratic function gare (x-7) and (x + 3), what are the zeros of function g?
O A
-7 and 3
-7 and -3
O C.
3 and 7
OD.
-3 and 7

Answer:

y = -6x + 7

Step-by-step explanation:

To write an equation of the line passing through the point (2,-5) with a slope of m = -6, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

Where (x1, y1) is the given point and m is the slope.

Substituting the given values, we get:

y - (-5) = -6(x - 2)

Simplifying:

y + 5 = -6x + 12

y = -6x + 7

y = -6x + 7

Therefore, the equation of the line passing through the point (2,-5) with a slope of m = -6 is:

y = -6x + 7

The answer is:

Work/explanation:

First, I will write the equation in point slope

\(\mapsto\phantom{333}\bf{y-y_1=m(x-x_1)}\)

WHERE:

m = slope

(x₁,y₁) is a point

________

Plug in the data:

\(\boxed{\large\begin{gathered}\bf{y-(-5)=-6(x-2)}\\\bf{y+5=-6x+12}\\\bf{y=-6x+12-5}\\\bf{y=-6x+7}\end{gathered}}\)

On solving the provided question we can say that - the range of the given function is = range g(x)  =  (- infinity, b)

When subtracting the sample maximum and minimum values, the range of a data set in statistics is the difference between the maximum and minimum values. expressed using the data's units. range: greatest and lowest values' differences. The distinction between the highest and lowest values for a certain data collection is known as the statistical range. For instance, the range is 10 - 2 = 8 if the provided record is 2, 5, 8, 10, and 3. Since there is a difference between the greatest and lowest observed values, the range may also be thought of as that.

here we have

\(f(x)=|x|\)

The range of f(x) is \(y\geq 0\)

If a<0 and b is not equal to 0

\(g(x)=a|x|+b\)

We have to find the range of g.

\(g(0)=b\)

\(g(10)=10a+b\)

range g(x)  =  (- infinity, b)

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Answer:

Part A: There are 4 zeros of the polynomial function f(x)

Part B: The zeroes of the polynomial function f(x) are -4, -1, 0, 2 ⇒ C

Step-by-step explanation:

The zeroes of a function are the x-coordinates of the point of intersection between the graph of the function and the x-axis (x-intercepts) which means values of x at y = 0

Part A:

In the given graph

∵ The graph of the function f(x) = -\(x^{4}\) - 3x³ + 6x² + 8x intersects the x-axis

   at 4 points

→ That means there are 4 values of x have y = 0

∴ The number of zeroes of the function is 4

∴ There are 4 zeros of the polynomial function f(x)

Part B:

∵ The graph intersects the x-axis at points (-4, 0), (-1, 0), (0, 0), (2, 0)

→ That means the values of x at y = 0 are -4, -1, 0, 2

∴ f(x) = 0 at x = -4, -1, 0, 2

∴ The zeroes of the polynomial function f(x) are -4, -1, 0, 2

Answer:

we can look at a graph

Step-by-step explanation:

Answer:

Step-by-step explanation:

\((3x)^{2}\)=\((3(2))^{2}\) =36

(OR)

3(\(x^{2}\))=3(4)=12

Its depend on your sentence structure, what u r asking!!

The value of 3x squared when x = 2 is 36.

Given expression  \((3x)^2\).

We have to calculate the value of this at \(x=2\).

Now putting the value of x in the expression we get,

\((3\times2)^{2}\)

Or,\(6^{2}\)

\(36\)

Hence the value of \((3x)^2\) at \(x=2\) will be 36.

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Answer:

y=\(\frac{21*97^x}{100^x}\), x= all real numbers

Answer:

Kaya rented the limo for 5 hours and 30 minutes.

Step-by-step explanation:

Answer:

Kaya rented the limo for about 5 hours and 30 minutes.

                    Hope this helps! good luck :)

1. The error is instead of adding 9 on both sides, it will subtract 9 from both sides.

The value x is 11.

2. 5 is not multiplied by 7.

The value of x is 55

What is an equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Given equation is

2x + 9 = 31

Subtract 9 from both sides:

2x + 9 - 9 = 31 - 9

2x = 22

Divide both sides by 2:

x = 22/2

x = 11

Given equation is

(x/5) - 7 = 4

Multiply 5 on both sides:

5(x/5 - 7) = 5 × 4

x - 35 =20

Add 35 on both sides:

x - 35 + 35 = 20 + 35

x = 55

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Together, it will take the two machines 102 minutes to produce 5100 cans.

To solve this problem, we will use the work formula,

which is Work = Rate × Time.

1. First, let's find the rate of each machine.

New machine rate: 5100 cans / 170 minutes = 30 cans/minute

Old machine rate: 5100 cans / 255 minutes = 20 cans/minute

2. Now, let's find the combined rate of both machines. Combined rate: New machine rate + Old machine rate = 30 cans/minute + 20 cans/minute = 50 cans/minute

3. Finally, we will use the combined rate to find the time it takes for both machines to produce 5100 cans together.

Time = Work / Combined rate = 5100 cans / 50 cans/minute = 102 minutes

Together, it will take the two machines 102 minutes to produce 5100 cans.

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Answer:

6000cm

Step-by-step explanation:

multiply all figures given

The net yardage the Bobcats football coach logged over four plays of game is  19.8x - 11.1y

The net yardage is calculated using the addition and subtraction operation as follows

For the gains the calculation is as follows

= Gain 25x yards + Gain 0.9y yards.

= 25x + 0.9y

For the lose the calculation is as follows

= Lose 12y yards + Lose 5.2x yards.

= 5.2x + 12y

the net yardage is solved as follows

net yardage = gains - loses

net yardage = (25x + 0.9y) - (5.2x + 12y)

removing the parenthesis and rearranging

net yardage = 25x + 0.9y - 5.2x - 12y

net yardage = 25x - 5.2x + 0.9y - 12y

net yardage = 19.8x - 11.1y

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Answer:

Step-by-step explanation:

Step-by-step explanation:

the answer is in the image above

A is correct = greatest.

Answer:

x = 34

Step-by-step explanation:

(x+27) = (2x-7)

subtract x from both side then add 7 to both side

which will give you x = 34

In this triangle, the side opposite the 30° angle is half the length of the hypotenuse. Therefore, sin 30° is equal to 1/2.

To explain the process in detail, we can start by considering a right triangle with one angle measuring 30°. Let's label the sides of the triangle as follows: the side opposite the 30° angle as "opposite," the side adjacent to the 30° angle as "adjacent," and the hypotenuse as "hypotenuse."

In a 30-60-90 triangle, we know that the ratio of the lengths of the sides is special. The length of the opposite side is half the length of the hypotenuse. Therefore, in our triangle, the opposite side is h/2. By the definition of sine, sin 30° is given by the ratio of the length of the opposite side to the length of the hypotenuse, which is (h/2)/h = 1/2.

Moving on to determining the exact value of sin 60°, we can use the relationship between sine and cosine. Recall that sin θ = cos (90° - θ). Applying this identity to sin 60°, we have sin 60° = cos (90° - 60°) = cos 30°. In a 30-60-90 triangle, the ratio of the length of the adjacent side to the length of the hypotenuse is √3/2. Therefore, cos 30° is equal to √3/2. Substituting this value back into sin 60° = cos 30°, we find that sin 60° is also equal to √3/2.

Using the measures of a right triangle, we can determine the exact value of sin 30° as 1/2 and then use the trigonometric identity sin 60° = cos 30° to find that sin 60° is equal to √3/2.

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Answer:

I would say PB=40% D

Step-by-step explanation:

thier 4 blue balls and 20% is low for 5 and 40% is low for 9

The given height of this trapezoid is given to be 4.5m

We have to solve for this by making use of the height of a trapezoid. The height is given as

A = (1/2) h (b1 + b2)

The variables here are

h = height

b1 = lenght at base 1

b2 = length at base 2

If the trapezoid that we have is a isosceles triangle, then base 1 is going to be the same length as that of the first base

b1 = 4 ft is the area. Given that the height has to be at least 4.5feet, then this would ensure that the trapezoid would be able to hold the shed.

Hence the height would begiven as 4.5 ft

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Answer: 4.5

Step-by-step explanation:

=======================================================

Work Shown:

There are,

This means there are 3*4*2*2 = 12*4 = 48 different coffees. We'll use this value later, so let A = 48.

There are 6 bagel options. Also, there are 3 choices in terms of if you order the bagel plain, with butter, or with cream cheese. This leads to 6*3 = 18 different ways to order a bagel. Let B = 18.

Multiply the values of A and B to get the final answer

A*B = 48*18 = 864

There are 864 ways to order a coffee and bagel at this restaurant.

--------------

If you're curious why you multiply the values out, consider this smaller example.

Let's say you had 3 choices of coffee and 2 choices for a bagel. Form a table with 3 rows and 2 columns. Place the different coffee choices along the left to form each row. Along the top, we'll have the two different bagel choices (one for each column).

This 3 by 2 table leads to 3*2 = 6 individual table cells inside. Each cell in the table represents a coffee+bagel combo. This idea is applied to the section above, but we have a lot more options.

The possible numbers of lawns the company could have mowed are 12 and 80.

A landscaper earns $30 for each lawn her company mows, but she pays $210 per day in salary to her employees. If her company made more than $150 profit from mowing lawns in a 7-day week, we can use the inequality equation below to solve for the possible numbers of lawns the company could have mowed:7(30x) - 210(7) > 150where x is the number of lawns the company mowed. The left side of the inequality represents the total income the company earned from mowing lawns, while the right side represents the total cost, which is the weekly salary plus the $150 profit we want to exceed. Simplifying the inequality, we get:210x > 5402100 > x. Since the number of lawns has to be a whole number, the possible numbers of lawns the company could have mowed are 12 and 80.

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The solution of the given equation are (1/2 , 17/2) and (-3 , 12)

The two equation that we have been given are :

    y = 9 – x            (1)

    y = 2x² + 4x + 6       (2)

We will solve this simultaneously, from equation (1) we will equate the value of y in equation (2) we get

       9 – x = 2x² + 4x + 6

        3 = 2x² + 5x

2x² + 5x – 3 = 0

Now to find the factors of the value x we will use quadratic formula.

   x = (-b±√b² – 4ac)/2a

   x = [ -5 ± √25 + 24 ]/4

   x = [ -5 ± 7 ]/4

x = (-5 + 7)/4              and                 x = (-5 – 7)/4

x = 1/2     and    x= -3

putting the required value of x in equation (1) we get

y = 9 – 1/2            and             y = 9 – (-3)

y = 17/2      and    y = 12

Hence the solution of the equation is (1/2 , 17/2) and (-3 , 12)

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The number of possible outcomes of the compound event of selecting a card, spinning the spinner, and tossing a coin is B. 72 outcomes.

To determine the number of possible outcomes for the compound event, we need to multiply the number of outcomes for each individual event.

There are 12 cards labeled 1 through 12, so there are 12 possible outcomes for selecting a card. The spinner is divided into three equal-sized portions, so there are 3 possible outcomes for spinning the spinner. There are 2 possible outcomes for tossing a coin (heads or tails).

the total number of possible outcomes for the compound event:

12 (selecting a card) x 3 (spinning the spinner) x 2 (tossing a coin) = 72

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Answer:

(B) There is no solution.

Step-by-step explanation:

Given the two lines A and B where:

\(L$ine A: x + y = 6 \implies y=6-x\\$Line B: x + y = 4 \implies y=4-x\\$Therefore:$\\6-x=4-x\\-x+x=4-6\\0=-2\\$Since, $ 0\neq -2,$ there is no solution.\)

The correct option is B.

Answer:

A

Step-by-step explanation:

Just took test, can I have Brainliest.

Answer:

C

Step-by-step explanation:

To make it easy, if there are 3 yellow, 2 green, and 8 total, just find the equation that has the fraction result of 5/8.

The interest rate on Malik's savings account is 5%.

To find the interest rate, we can use the formula for simple interest: I = Prt,

where I is the interest earned,

P is the principal,

r is the interest rate, and

t is the time in years.

Plugging in the given values, we get:

241.5 = 1050r4

Simplifying, we get

r = 241.5/(1050*4) = 0.0575

Multiplying by 100 to convert to a percentage, we get:

r = 5%

Therefore, the interest rate on Malik's savings account is 5%.

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Answer:

each cd is 14.60

Step-by-step explanation:

45.30-1.50= 43.80

43.80÷3=14.60

Answer:14.30

Step-by-step explanation:

$14.30 per CD and .50 tax per Cd

Natalie bought pistachios at a lower price per pound compared to Nicholas.

To compare the prices of pistachios at store A and store B, we need to calculate the price per pound for each store based on the given information.

Natalie's purchase at store A:

Weight of pistachios = 3 4/5 pounds

Cost of pistachios = $17.75

To calculate the price per pound at store A, we divide the total cost by the weight:

Price per pound at store A = $17.75 / (3 4/5) pounds.

To simplify the calculation, we can convert the mixed fraction 3 4/5 to an improper fraction:

3 4/5 = (3 \(\times\) 5 + 4) / 5 = 19/5

Substituting the values, we have:

Price per pound at store A = $17.75 / (19/5) pounds

Price per pound at store A = $17.75 \(\times\) (5/19) per pound

Price per pound at store A = $3.947 per pound (rounded to three decimal places).

Nicholas's purchase at store B:

Weight of pistachios = 4 7/10 pounds

Cost of pistachios = $19.50

To calculate the price per pound at store B, we divide the total cost by the weight:

Price per pound at store B = $19.50 / (4 7/10) pounds

Converting the mixed fraction 4 7/10 to an improper fraction:

4 7/10 = (4 \(\times\) 10 + 7) / 10 = 47/10

Substituting the values, we have:

Price per pound at store B = $19.50 / (47/10) pounds

Price per pound at store B = $19.50 \(\times\) (10/47) per pound

Price per pound at store B = $4.149 per pound (rounded to three decimal places).

Comparing the prices per pound, we find that the price per pound at store A ($3.947) is lower than the price per pound at store B ($4.149).

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Step-by-step explanation:

Since 4104 students are employed sophomores, juniors, or seniors, the total number of unemployed students is 11,989 - 4104 = 7885.

And since 745 students are employed freshman, the number of unemployed freshman is 7885 - 745 = 7140.

So, the total number of freshman is 745 + 7140 = 7885.

The Venn diagram would look like this:

[ Freshmen ] [ Sophomores, Juniors, Seniors ]

[ 7885 ] __________ [ 4104 ]

| 745 |

__________

[ 7140 ]

So, there are 7885 freshman.

Answer:

\(\frac{dy}{dx}=-(8t+1)e^{9t}\\\frac{d^{2}y}{dx^{2}}=(72t+17)e^{10t}\)

Step-by-step explanation:

The explanation is attached below.

dy/dx = -te^(9t) (1 + 8t)

d²y/dx² = e^(8t) (16t + 1)

Firstly, we will find the value of dx/dt using the Chain rule as follows: dx/dt = - e^(-t)Then, the value of dy/dt can be calculated as

dy/dt = (d/dt) [t(e^(8t))]   [Using product rule]= te^(8t) + t * 8e^(8t)  

[Using the product rule again]= te^(8t) + 8te^(8t)  

[Factoring out t]= te^(8t) (1 + 8t)So, we have obtained the first derivative of y w.r.t t.

Now, let's find the second derivative of y w.r.t t.d²y/dt² = (d/dt) [te^(8t) (1 + 8t)]  

[Using the product rule]= e^(8t)(1 + 8t) + t * 8e^(8t)

  [Using the product rule again]= e^(8t)(1 + 8t) + 8te^(8t)  

[Factoring out 8e^(8t)]= e^(8t) (1 + 8t + 8t)

 [Factorizing]= e^(8t) (16t + 1)

So, the value of the derivative dy/dx is:dy/dx = (dy/dt) / (dx/dt) = te^(8t) (1 + 8t) / - e^(-t) = -te^(9t) (1 + 8t)

Thus, the values of derivatives as functions of t are:

dy/dx = -te^(9t) (1 + 8t)

d²y/dx² = e^(8t) (16t + 1)

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