Determine which functions have two real number zeros by calculating the discriminant, b2 - 4ac. Check all that
apply
f(x) = x2 + 6x + 8
g(x) = x2 + 4x + 8
h(x) = x2 - 12x + 32
k(x) = x2 + 4x - 1
p(x) = 5x2 + 5x + 4
t(x) = x2 - 2x - 15

Answer:

-5/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-9-6)/(10-1)

m=-15/9

simplify

m=-5/3

Answer:

(2b - 3)(2b + 3)(b - 3)

Step-by-step explanation:

4b³ - 9b - 12b² + 27

b(4b² - 9) - 3(4b² - 9)

(4b² - 9)(b - 3)

(2b - 3)(2b + 3)(b - 3)

Answer:

[tex](4b^{2}-9)(b-3)[/tex]

Step-by-step explanation:

In order to factor this expression you need to factor by grouping.

First focus on factoring the first two terms them factor the last two terms

1. Lets focus on the first 2 terms:

[tex]4b^{3} -12b^{2}[/tex] (You can factor out [tex]4b^{2}[/tex])

[tex]4b^{2} (b-3)[/tex] (this is what you're left with

2. Lets focus on the last 2 terms:

[tex]-9b+27[/tex] (You can factor our a -9)

[tex]-9(b-3)[/tex] (this is what you're left with

3. Now lets put both of the factored parts together:

[tex]4b^{2} (b-3)-9(b-3)[/tex] (Since both equations have the factor (b-3) in common that is one of our answers) (pull out that factor)

[tex](b-3)[/tex]

Now whatever is left create the second factor:

[tex](4b^{2} -9)[/tex]

So, [tex](4b^{2} -9)(b-3)[/tex] are the factors that make this expression.

You can double check that these are the right factors by using the FOIL method.

If you use the FOIL method it forms the original expression [tex]4b^{3} -12b^{2} -9b+27[/tex]

so we know for sure these are the right factors.

I will upload an image of how to use the FOIL method.

FOIL stand for Front, Outer, Inner, Last

The graph of the line y=4x-3 is attached below.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

The function is given as y=4x-3

Here the point (0,-3) lies on the line because -3 is the y-intercept(b) in the equation y=mx+b.

Next, we would plot the next point 4 units up and to the right once because 4/1 is rise/run and equal to m in the equation.

Therefore, the graph of the line is attached below.

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The ratio of the volume of the pyramid to the volume of the prism is 1:1

The formula for calculating the volume of a pyramid is expressed as;

V = 1/3 BH

The formula for calculating the volume of prism is expressed as:

V = Bh

where

B is the base area

H is the height

If the height of pyramid is three times the height of the prism, the volume of pyramis will be:

V = 1/3B * 3h

Take the ratio of their volumes

Vp/Vr  = 3Bh/3Bh
Vp/Vr = 1 : 1

Hence the ratio of the volume of the pyramid to the volume of the prism is 1:1

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Answer:

$26,500.

Step-by-step explanation:

It is given that Ed is a car salesman. he makes 1.5% commission on each car he sells.

He made $397.50 on the last car he sold.

We need to find the sales price of the car.

Let x be the selling price of the car.

1.5% of x = $397.50

[tex]x\times \dfrac{1.5}{100}=397.50[/tex]

[tex]0.015x=397.50[/tex]

Divide both sides by 0.015.

[tex]x=\dfrac{397.50}{0.015}[/tex]

[tex]x=26,500[/tex]

Therefore, the sales price of the car is $26,500.

The sales price of the car is $26,500.

To find the sales price of the car, we need to divide the commission amount by the commission rate.

First, let's convert the commission rate to a decimal. 1.5% is equal to 0.015.

Next, we'll use the formula: Sales Price = Commission Amount / Commission Rate.

So, the sales price of the car can be found by dividing $397.50 by 0.015, which equals $26,500.

Answer:

Step-by-step explanation:

[tex]3.14*10^{-2}=\frac{3.14}{10^{2}}\\\\=\frac{3.14}{100}=0.0314[/tex]

Good morning ☕️

Answer:

Step-by-step explanation:

3.14x10⁻²

since 10 is raised to a negative number (-2)

then we just need to move the decimal point in the number 3.14 two steps to the left ,like this :

3.14x10⁻² = 0.0314

by the way 3.14 = 003.14

__________________________________________________________

:)

Answer: x = 9 -3y

Step-by-step explanation:

Hi, to answer this question we have to solve the system by substitution:

a)3x − 4y = 12

b)2x + 6y = 18

If we isolate "y" on b)

2x + 6y = 18

2x = 18 -6y

x = 18/2 - 6/2y

x = 9 -3y is a possible equation

Doing the same thing with the other equation a) , and isolating "y" in both expressions, the only possible equation is the one founded above.

Answer:

9 sides

Step-by-step explanation:

Since the interior angle 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.

Answer:

number = 1/3

Step-by-step explanation:

let the required number = x

according to the given conditions

2 * x * 9 = 6

18x = 6

x = 6/18 = 1/3

The length of the ladder is 13 feet.

Step-by-step explanation:

From the Pythagorean Triplets (5,12,13) :

It can be determined that the longest side called hypotenuse is 13 feet.

Therefore, the length of the ladder = 13 feet.

Answer: 189

Step-by-step explanation:

Substitute the value of x, y and z into the equation to give: 2 (12) (8) -3

Then apply BODMAS

2 (96) - 3

192-3= 189

Answer:

5 pizzas

Step-by-step explanation:

He will have $2.50 left over after he buys the 5 pizzas. Hope this helps! Brainliest is appriciated.

Answer: 2.50

Step-by-step explanation:

Answer:

[6, 18]

Step-by-step explanation:

the first matrix has the dimensions 1 x 2 (1 row, 2 columns).  The send has the dimensions 2 x 2.  Because of this it is possible to do matrix multiplication and the result will be a 1 x 2 matrix.

Multiply the column -2,  7 by the row 4, 2:

We get (-2)(4) + (7)(2), which simplfies to 6.  This is the first element of the 1 x 2 product.

Multiply the column 5, -1 by the row 4, 2:  We get (5)(4) + (-1)(2), or 18.

The fourth answer choice is the correct one:  [6, 18]

Answer: option 2

Step-by-step explanation:

From the pie chart, Christiana spends over 60% of her time on working and sleeping

Also, Christiana spends half of her time on sleep, chores and other activities .

Answer: 2 is false.

Step-by-step explanation:

Christina spends exactly a quarter of her time on chores and hobbies.

Answer: The mean is 6.

1.) (Add) To find mean, add all listed values then, divide by the total amount of values.

- 2 + 3 + 5 + 5 + 6 + 7 + 7 + 7 + 8 + 10 = 60.

2.) Divide the total by the amount of values.

- 60/10 ( There are 10 numbers in total ) = 6.

The mean of the data is 6.

To find the mean of the data set provided by Alice's friends, you need to follow these steps:

Add all the numbers together. The numbers are: 2, 3, 5, 5, 6, 7, 7, 7, 8, and 10.

The sum of these numbers is: 2 + 3 + 5 + 5 + 6 + 7 + 7 + 7 + 8 + 10 = 60.

Count the total number of data points, which is 10.

Divide the sum by the number of data points: 60 / 10 = 6.

Therefore, the mean of the data is 6.

Yo sup??

(5^3)^5

=5^3*5

=5^15

Hope this helps

5^8 is the answer.

the expression is given:(5^3)^5

(5^3)^5

5^3+5

5^8

=390,625

Basically, when simplifying an expression, try to make it as simple as possible. After all, don't add, subtract, multiply, or divide anything. For example, consider the following equation: 4 + 6 + 5.

For example, 1/2 (x + 4) can be simplified as x / 2 + 2. Let's look at another example to understand. Example: Simplify the formula: 3/4x + y / 2 (4x + 7). Using the law of distribution, a given equation can be written as 3/4x + y / 2 (4x) + y / 2 (7).

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Answer:

a)For this case we are interested on two populations, one is the Big Al's Steak house wait times and the other represent the Trail's End wait times. And we don't know the information about the population but we have two samples of size n =8 described by:

Big Al's Steak house wait times: 5 13 22 7 20 21 20 12

Trail's End wait times: 11 19 14 14 15 20 10 17

b) [tex] \bar X_{BigAl. Hou}= 15[/tex]

[tex] \bar X_{Trial End Wait}= 15[/tex]

Step-by-step explanation:

Part a

For this case we are interested on two populations, one is the Big Al's Steak house wait times and the other represent the Trail's End wait times. And we don't know the information about the population but we have two samples of size n =8 described by:

Big Al's Steak house wait times: 5 13 22 7 20 21 20 12

Trail's End wait times: 11 19 14 14 15 20 10 17

Part b

For this case we can calculate the mean with the following formula:

[tex] \bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]

And replacing we got:

[tex] \bar X_{BigAl. Hou}= 15[/tex]

[tex] \bar X_{Trial End Wait}= 15[/tex]

Answer:

See attachment (red rectangle)

Step-by-step explanation:

Since the upper left is at (-4,4) and upper-right is at (4,4)

The length of the rectangle is

[tex]l = |4 - - 4| = 8[/tex]

Since the perimeter is 20, we have:

[tex]20 = 2(8 + w)[/tex]

[tex]10 = 8 + w[/tex]

[tex]w = 2[/tex]

Therefore we need to draw a rectangle with dimension 8 by 2

The value of x is 36.

Solution:

Given angles of a triangle are 2x°, 2x° and x°.

To find the value of x:

Sum of the all the angles of a triangle = 180°

2x° + 2x° + x° = 180°

5x° = 180°

Divide by 5 on both sides of the equation.

x° = 36°

x = 36

The value of x is 36.

Answer: X= 0.5

Step-by-step explanation:

(-5.6x+1.3)=-1-x

+5.6x             +5,6x

1.3=-1+4.6x

+1   +1

2.3=4.6x

divide by 4.6 to get x by itself

2.3/4.6 = x

x=0.5

please mark brainliest!

Answer

x=1/2

Step-by-step explanation:

open the parenthesis to get -5.6x+1.3=-1-x

move the variable to the left and numbers to the right

-4.6x=-2.3

now solve by dividing 2.3 by -4.6

you get x=1/2

Answer:

13

Step-by-step explanation:

10+ 14+ 15+ 12+ 13+ 14=78

78/6=13

Each student will receive 13 buttons provided six students collected 10, 14, 15, 12, 13, and 14 buttons respectively and they divided the buttons evenly so that each student receives the same number of buttons. This can be obtained by adding to find total number of buttons and dividing by total number of students, that is 6.

Given that, six students collected 10, 14, 15, 12, 13, and 14 buttons respectively.

Therefore total number of buttons, 10+14+15+12+13+14 =78 buttons.

Number of buttons each student will get,78 buttons/6 students =13 buttons

Hence each student will receive 13 buttons provided six students collected 10, 14, 15, 12, 13, and 14 buttons respectively and they divided the buttons evenly so that each student receives the same number of buttons. The correct answer is option 3.

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Answer:

10.

Step-by-step explanation:

10 because 10 * 10 = 100.

There us also a negative square root -10.

Answer:

10

Step-by-step explanation:

Answer:

[tex]g^{-1}[/tex](x) = [tex]\frac{5x+45}{3}[/tex]

Step-by-step explanation:

let y = g(x) and rearrange making x the subject

y = [tex]\frac{3}{5}[/tex] x - 9 ( add 9 to both sides )

y + 9 = [tex]\frac{3}{5}[/tex] x

Multiply both sides by 5 to clear the fraction

5y + 45 = 3x ( divide both sides by 3 )

[tex]\frac{5y+45}{3}[/tex] = x

Change y back into terms of x, thus

[tex]g^{-1}[/tex](x) = [tex]\frac{5x+45}{3}[/tex]

The inverse is g⁻¹(x) = (5/3)*(x + 9)

How to find the inverse?

for a function f(x), the inverse f⁻¹(x) is defined as:

if f(x) = y

f⁻¹(y) = x

For this case, we can write:

g(g⁻¹(x)) = x

(3/5)*g⁻¹(x) - 9 = x

(3/5)*g⁻¹(x) = x + 9

g⁻¹(x) = (5/3)*(x + 9)

The scale factor of the dilation is 2/3. This means that the image point is two-thirds the distance from the original point to the center of dilation.

To find the scale factor of the dilation, we can use the formula:

[tex]\[ \text{scale factor} = \frac{\text{image point}}{\text{original point}} \][/tex]

Given that the image of (6, 9) under the dilation is (4, 6), we can substitute these values into the formula:

[tex]\[ \text{scale factor} = \frac{(4, 6)}{(6, 9)} \]\[ \text{scale factor} = \left( \frac{4}{6}, \frac{6}{9} \right) \][/tex]

Simplifying the fractions:

[tex]\[ \text{scale factor} = \left( \frac{2}{3}, \frac{2}{3} \right) \][/tex]

B. The scale factor is 2/3

To determine the scale factor of the dilation, we need to compare the coordinates of the original point 6, 9 and its image 4 , 6

The formula for dilation of a point x, y by a scale factor k is:

[tex]\[(x', y') = (kx, ky)\][/tex]

Given:

- Original point 6 , 9

- Image point 4 , 6

We need to find the scale factor k such that:

[tex]\[4 = k * 6 \quad \text{and} \quad 6 = k * 9\][/tex]

Let's solve these equations.

1. 4 = 6k

[tex]\[k = \frac{4}{6} = \frac{2}{3}\][/tex]

2. 6 = 9k

[tex]\[k = \frac{6}{9} = \frac{2}{3}\][/tex]

Both equations give the same scale factor of 2/3.

Question

The image of (6, 9) under a dilation is (4, 6).

The scale factor is

A. -2

B 2/3

C -2/3

Answer:

3-2 notebooks= 11$-8$=3 $

so 2 notebooks= 2*3=6 $

so a pack of pens is 8$-6$=2$

Step-by-step explanation:

The cost of a pack of pens is $2 and it can be determined by using a system of equations.

Given that,

Daniel brought 2 notebooks and a pack of pens for $8.

Jose bought 3 notebooks and a pack of pens for $11.

We have to determine,

What is the cost of a pack of pens?

According to the question,

Let, the cost of notebook be x,

And the cost of a pack of pens is y.

Daniel brought 2 notebooks and a pack of pens for $8.

2x + y = 8

Jose bought 3 notebooks and a pack of pens for $11.

3x + y = 11

On subtracting both the equation

2x + y - (3x + y ) = 8-11

2x + y -3x -y = -3

-x = -3

x = 3

Substitute the value of x in the equation 1,

2x + y = 8

2(3) + y = 8

6 + y = 8

y = 8-6

y = 2

Hence, The cost of the notebook is $3 and the cost of a pack of pens is $2.

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Answer:

9/5

Step-by-step explanation:

do the math got it correct

On solving the given expression, the solution is [tex]x \ > \frac{9}{5}[/tex] .

Thus, On solving the given expression, the solution is [tex]x \ > \frac{9}{5}[/tex] .

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Answer: 2/11

Step-by-step explanation:

8/44 in simplest form

Step 1: find a divisible number for the numerator and denominator

= 2/11

Answer:

6 inches

Step-by-step explanation:

The formula for volume is length*width*height. Following this,

7*4*h=168

28h=168

h=6

Answer:

The height is 6 inches

Step-by-step explanation:

7 x 4= 28

28 x 6=168