(x+2)(x+6)=0
In the problem shown, to conclude that x+2=0 or x+6=0, one must use the: A. multiplication property
B. division property
C. zero product property
D. transitive property

Answers

Answer 1

Answer:

the zero product property because you can set them to 0

Answer 2

Answer:  The correct option is

(C) Zero product property.

Step-by-step explanation:  The given problem is

[tex](x+2)(x+6)=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To conclude that x+2=0 or x+6=0, one must use which of the given properties.

We know that

for any two expressions E and F, we have

[tex]EF=0~~~\Rightarrow E=0~\textup{or}~F=0.[/tex]

This property is known as Zero product property.

Therefore, to conclude x+2=0 or x+6=0 from the given problem (i), we must use the Zero product property.

Thus, (C) is the correct option.


Related Questions

Find the volume of a cone with a radius of 15cm and height of 4cm

Answers

15 cm x 4 = 60 cm

ANSWER = 60 cm

Answer:

251.33 or 251 1/3

Step-by-step explanation:

In Spencer's garden, the number of rose bushes is 7 less than 1.5 times the number of carnation bushes. If the number of carnation bushes is c, then the expression representing the number of rose bushes is .

Answers

Answer:

1.5c-7=n

Step-by-step explanation:

Answer:

The required expression is 1.5c-7

Step-by-step explanation:

Here, c represents the number of carnation bushes,

Since, the number of rose bushes is 7 less than 1.5 times the number of carnation bushes,

That is, the number of roses = 1.5c - 7

Hence, the required expression that represents the number of roses is 1.5c - 7.

How do I solve system of equations by substitution
3x-7y=41
x=-2y-21

Answers

Answer:

(-5;-8)

Step-by-step explanation:

-6y-63-7y=41

-13y=104

y=-8

x=-2*-8-21=-5

The solution is

The value of x = -5

The value of y = -8

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the equation A is

3x - 7y = 41   be equation (1)

x = -2y - 21   be equation (2)

Now , substitute the value of equation (2) in equation (1) , we get

3x - 7y = 41

3 ( -2y - 21 ) - 7y = 41

On simplifying the equation , we get

-6y - 63 - 7y = 41

Adding 63 on both sides of the equation , we get

-13y = 104

Divide by -13 on both sides of the equation , we get

y = -8

So , the value of y = -8

Substitute the value of y in equation (2) , we get

x = -2y - 21

x = - 2 ( -8 ) - 21

x = 16 - 21

x = -5

So , the value of x = -5

Therefore , the value of x is -5 and y is -8

Hence ,

The value of x = -5

The value of y = -8

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What is the volume of a shoe box that is 15x10x8 inches

Answers

Answer:

1200 inches cubed.

Step-by-step explanation:

You literally multiply what the measurements are. :)

Simplify the expression 5g + 5 -2g + g + 5h

Answers

Answer:

[tex]\large\boxed{5g+5-2g+g+5h=4g+5+5h}[/tex]

Step-by-step explanation:

[tex]5g+5-2g+g+5h\qquad\text{cobine like terms}\\\\=(5g-2g+g)+5+5h=4g+5+5h[/tex]

Identify the domain of the function

Answers

The answer is C. is right

Answer:

C) (-4, 4]

Step-by-step explanation:

We have been given a graph of the function as shown in the picture. Now using that graph, we need to find the domain of the function and match with the given choices to find the correct domain.

Where given choices are :

A) [-4, 4)

B) [-4, 4]

C) (-4, 4]

D) (-4, 4)

Remember that we use ( or ) for open circle. and [ or ] for close circle.

Hence correct domain is

C) (-4, 4]

The length of a rectangle is 3 times the width. The perimeter of the rectangle is 56 feet. Find the length of the rectangle.

Answers

Answer:

length = 21

Step-by-step explanation:

P = 2L + 2W,   L = 3W

P = 2(3W) + 2W = 56

8W = 56

W = 7

L = 3W = 3(7) = 21

Answer: The answer to this math question about finding the length of the rectangle with the given perimeter of the rectangle is 21 feet.

Step-by-step explanation: Here are 5 steps in order to find the length of the rectangle with the given perimeter of the rectangle:

Let P represent the perimeter of the rectangle and let L represent the unknown length of the rectangle.

Step 1. Write the formula of the perimeter of the rectangle and unknown of the length of the rectangle that looks in the equation form like this: P = 2L + 2W, L = 3W.

Step 2. Substitute L into 3W that looks in the equation form like this: [tex]P = 2(3W) + 2W = 56.[/tex]

Step 3. Multiply 2 and 3W then add 2W together that looks in the equation form like this: [tex]8W = 56.[/tex]

Step 4. Divide both sides by 8 that looks in the equation form like this: [tex]W = 7.[/tex]

Step 5. Hence your answer to this math question about finding the length of the rectangle with the given perimeter of the rectangle is 21 feet that looks in the equation form like this: [tex]L = 3W = 3(7) = 21.[/tex]

I hope that my full given answer with my full given step-by-step explanation is very helpful to your own math question about finding the length of the rectangle with the given perimeter of the rectangle, please mark me as Brainliest, take care, always be safe, and have a great rest of the weekend, and also have a good night! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Find the cost of one item to the nearest cent. Round if necessary. 4 lbs. of bananas for $1.92

Answers

0.48 cents per pound.

For this case we must find the unit cost of bananas, that is, one pound of banana. For this, we make a rule of three:

4lb -----------> $ 1.92

1lb -----------> x

Where the variable "x" represents the cost of a pound of banana.

[tex]x = \frac {1 * 1.92} {4}\\x = 0.48[/tex]

Thus, the banana pound costs $ 0.48.

If we round we have $ 0.50

ANswer:

$ 0.48

80 × 16 multiplication ​

Answers

Answer: 1280

Step-by-step explanation:

It's simple multiplication, Hopefully this helps:) Mark me the brainliest:)!!!

* ∞ 234483279c20∞

Answer:

1280

Step-by-step explanation:

just multiply 80

16 time and your will get 1280.

another way is to use the 8 in 80 and multiply by 8s 16 time then and yall get 128 then add the 0 from 80 and that's how you'll get 1280

Which of the following is not equivalent to 15!/10!5!

P(15, 10)

C(15, 10)

C(15, 5)

Answers

Answer:

P(15, 10)

Step-by-step explanation:

By definition;

[tex]nC_r=\binom{n}{r}=\frac{n!}{(n-r)!r!}[/tex]

and

[tex]nP_r=\binom{n}{r}=\frac{n!}{(n-r)!}[/tex]

This implies that;

[tex]15P_{10}=\binom{15}{10}=\frac{15!}{(15-10)!}=\frac{15!}{5!}[/tex]

[tex]15C_{10}=\binom{15}{10}=\frac{15!}{(15-10)!10!}=\frac{15!}{5!10!}[/tex]

[tex]15C_{5}=\binom{15}{5}=\frac{15!}{(15-5)!5!}=\frac{15!}{5!10!}[/tex]

Orlando bought some groceries that cost a total of $22.68. He used a $20 bill and a $10 bill to pay for the groceries. What are two different ways he could receive his change? What is his change?

Answers

Step-by-step explanation:  20+10=30

30-22.68 =7.22

1 way to receive his change: 1 five dollar bill, 2 one dollar bills, 6 dimes and 8 pennies.

1 different way to receive his change : 7 one dollar bills, 13 nickels and 3 pennies.

his change would be exactly $7.32. he could get all 1’s or a five and 2 ones

1/4 cups = _______ pt​

Answers

1/4 cup is equal to 0.125 pt

It equals 0.125 us liquid pints

1a. Javier jogs 3/4 of a mile in 8 1/2 minutes.

If he keeps the same pace, how many minutes does it take him to jog 1 mile?

(answer as a mixed number)

1b. A recipe for 1 1/4 dozen of cupcakes calls for 1 2/3 cups of flour, but Rashida has only 1 cups of flour.

How many cupcakes can she make?

(answer as a mixed number)

Answers

Final answer:

Javier takes 5 1/8 minutes to jog 1 mile. Rashida can make 2 cupcakes with 1 cup of flour.

Explanation:

1a. To find out how many minutes it takes Javier to jog 1 mile, we can set up a proportion. Since he jogs 3/4 of a mile in 8 1/2 minutes, we can set up the equation: (3/4)/(8 1/2) = 1/x, where x is the number of minutes it takes him to jog 1 mile. To solve for x, we can cross multiply and simplify the equation.

First, we convert 8 1/2 to an improper fraction: 8 1/2 = 17/2.

Then, we can multiply both sides of the equation by 2 (to get rid of the denominator): (3/4) * 2 = (17/2) * (1/x). After simplifying, we get x = 5 1/8. Therefore, it takes Javier 5 1/8 minutes to jog 1 mile.

1b. To find out how many cupcakes Rashida can make with only 1 cup of flour, we can set up a proportion. Since the recipe calls for 1 2/3 cups of flour for 1 1/4 dozen of cupcakes, we can set up the equation: (1 2/3)/(1 1/4) = 1/x, where x is the number of cupcakes Rashida can make. To solve for x, we can cross multiply and simplify the equation.

First, we convert 1 2/3 to an improper fraction: 1 2/3 = 5/3.

Then, we can multiply both sides of the equation by 3 (to get rid of the denominator): (5/3) * 3 = (1 1/4) * (1/x). After simplifying, we get x = 2. Therefore, Rashida can make 2 cupcakes with 1 cup of flour.

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True r false? A circle could be circumscribed about the quadrilateral below?

Answers

Answer:

I would say its true

Step-by-step explanation:

write the equation of a circle with center of (5,-3) and a radius of 4​

Answers

Answer:

[tex]\large\boxed{(x-5)^2+(y+3)^2=16}[/tex]

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the center (5, -3) and the radius r = 4. Substitute:

[tex](x-5)^2+(y-(-3))^2=4^2\\\\(x-5)^2+(y+3)^2=16[/tex]

Can you help me find the measure of each angle? Diagram attached

Answers

Answer:

5x = 100°

4x = 80°

Step-by-step explanation:

We are given a diagram with a straight line AC being intersected by another line BD and we are to find the two mentioned angles.

We know that the two angles (5x° and 4x°) are supplementary so their sum would be equal to 180°.

So we can write it as:

[tex]5x+4x=180[/tex]

[tex]9x=180[/tex]

[tex]x=\frac{180}{90}[/tex]

[tex]x=20[/tex]

Finding the measure of both the angles:

[tex]5x = 5(20) =[/tex] 100°

[tex]4x = 4(20) =[/tex] 80°

Answer:

<ABD = 100° and <CBD = 80°

Step-by-step explanation:

From the given figure we can see a linear pair

To find the value of x

The given two linear pair angles are,

1). 5x°

2) 4x°

The sum of linear pair angles is 180°

Therefore we can write,

5x + 4x = 180

9x = 180

x = 190/9 = 20°

To find two angles

<ABD = 5x = 5 * 20 =  100° and

<CBD = 4x = 4 * 20 = 80°

Therefore two angles are, <ABD = 100° and <CBD = 80°

How do I solve this?

Answers

Answer:

Step-by-step explanation:

Order the data from least to greatest

1,2,2,3,3,3,4,4,5,6,

Find the median.

3+3=6/2=2

Calculate the median of both the lower and upper half of the data.

Lower: 2+2=4/2=2. Upper: 4+5=9/2=4.5

The IQR is the difference between the upper and lower medians.

4.5 - 2= 2.5

What is the image of (4,7) after a reflection over the line y= - X ?

Answers

(-4, 7) would be the answer

A reflection of the point (4,7) over the line y=-x swaps and negates the x and y coordinates which leads to the new point being (-7,-4).

The image of the point (4,7) when reflected over the line y = -x is determined by essentially flipping the x and y coordinates of the original point and negating them.

This is because a reflection over the line y = -x swaps the x and y values and takes their opposite. Thus, the original point (4,7) would evolve into the point (-7,-4) after the reflection.

To break this down, the original x value was 4, and after reflection, this becomes -7 which is the new x-coordinate.

The original y value was 7, and after reflection, this becomes -4 which is the new y-coordinate. Therefore, the image of (4,7) after the reflection over the line y = -x is (-7,-4).

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Select the equations of f the lines that are parallel to the lines whose equations is y=3x+5

Answers

Answer:

y = 3x + b where b is any real number

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the equation: [tex]y=3x+5[/tex]

Parallel lines have the same slope. Therefore the equation of the lines that are parallel to the given line if in form:

[tex]y=3x+b[/tex]

where b is any real number.

Solve the exponential function

Answers

Answer:

See below.

Step-by-step explanation:

Just like 18, continue with 19-21. Solve for x by rewriting each equation in log form.

[tex]e^x = 4.9\\\\x = ln 4.9\\\\x = 1.59[/tex]

When rewriting the form, the base of the exponent becomes the base of the log.

Julius is going to have a multi-course meal. The following table shows how many different dishes are offered for each course.
Course
Number of dishes
Appetizer 333
Main course 444
Dessert 333
How many different meal combinations does Julius have to choose from?

Answers

Answer:

(3)*(4)*(3) = 36 different meal combinations

Step-by-step explanation:

Course  -    Number of dishes

Appetizer              3

Main course       4

Dessert               3

Since we can choose any combination of dishes, we have

3 possibilities for the appetizer,  4 possibilities for main course and three possibilities from dessert.

3 and 4 and 3

3 ∧ 4∧ 3

(3)*(4)*(3) = 36

Answer: 36

Step-by-step explanation:

Given: Julius is going to have a multi-course meal.

The following table shows how many different dishes are offered for each course.

Course                       Number of dishes

Appetizer                          3

Main course                     4

Dessert                             3

Now, the different meal combinations for Julius is given by :-

[tex]3\times4\times3=36[/tex]

Hence, there are 36 different meal combinations .

A chef uses 4.5
cups of tomatoes to make each batch of pasta sauce. If
represents the number of cups of sauce, which equation models this situation?

A.=4.5, where is the number of batches

B.=4.5 where is 1 batch of sauce

C.=4.5 where is the number of batches

D.=4.5 where is the number of cups of tomatoes in a batch of sauce

Answers

Answer:

D.=4.5 where is the number of cups of tomatoes in a batch of sauce

Answer: t=4.5x

Step-by-step explanation:

t=cups of tomatoes

x=batch(es) of pasta sauce

Example:

The chef wants to know how many tomatoes he needs to make 2 batches of pasta sauce.

x=2

So 4.5x2=9

Answer for the example is 9

The area of a trapezoid is 30 square centimeters. The height is 4 centimeters. The shorter base measures 6 centimeters. What is the measure of the longer base? Draw a picture of the problem. Explain your thinking,

Answers

Answer:

The measure of the longer base is [tex]9\ cm[/tex]

The picture of the problem in the attached figure

Step-by-step explanation:

we know that

The area of a trapezoid is equal to

[tex]A=\frac{1}{2}(b1+b2)h[/tex]

where

b1 ----> the measure of the shorter base

b2 ----> the measure of the longer base

h ---> is the height

In this problem we have

[tex]A=30\ cm^{2}[/tex]

[tex]b1=6\ cm[/tex]

[tex]h=4\ cm[/tex]

substitute the values and solve for b2

[tex]30=\frac{1}{2}(6+b2)4[/tex]

[tex]15=(6+b2)[/tex]

[tex]b2=15-6=9\ cm[/tex]

Answer:

The measure of the longer base is:

                            9 centimeters

Step-by-step explanation:

We know that the area of a trapezoid with height h and two parallel bases b and b' is given by the formula:

[tex]\text{Area of trapezoid}=\dfrac{1}{2}\times (b+b')\times h[/tex]

Here we have:

The area of a trapezoid is 30 square centimeters. The height is 4 centimeters. The shorter base measures 6 centimeters.

i.e.  

[tex]30=\dfrac{1}{2}\times (b+6)\times 4\\\\30=2(b+6)\\\\b+6=\dfrac{30}{2}\\\\b+6=15\\\\b=15-6\\\\b=9\ \text{centimeters}[/tex]

Which of the following is the solution of 5e2x - 4 = 11?

Answers

Answer:

x = (1/2)(ln 3)

Step-by-step explanation:

Please indicate exponentiation using the symbol " ^ ":

5e^(2x) - 4 = 11

To solve this, add 4 to both sides, obtaining:   5e^(2x) = 15

Next, divide both sides by 5, obtaining                e^(2x) = 3

Now take the natural logarithm (ln) of both sides:

2x = ln 3

Finally, divide both sides by 2, obtaining:           x = (1/2)(ln 3)

This last result is approx. equal to 0.549

Answer:

It's C) x= in3/2

on Edg.

Help me solve this please

Answers

[tex] \cos(42) = \frac{ RS}{3} \\ RS = 3 \times \cos(42) \\ RS = - 1.19[/tex]

1.19

R is a 90 degree angle you can see that by looking for a square where the two live meet and s=42 add 90 to 42 to get your answer

Hope this helped! :)

The equation of a circle is x^2 + y^2 -4x + 2y - 11 = 0. What are the center and the radius of the circle? Show your work.

Answers

Answer:

The center of the circle;

(2, -1)

The radius of the circle;

r = 4

Step-by-step explanation:

The first step is to complete the square on both x and y;

x^2 + y^2 -4x + 2y - 11 = 0

x^2 -4x +y^2 +2y = 11

We determine c1 to complete the square on x;

c1 = (b/2)^2

c1 = (-4/2)^2 = 4

We then determine c2 to complete the square on y;

c2 = (2/2)^2 = 1

The equation of the circle is then re-written as;

x^2 -4x + 4 +y^2 +2y + 1 = 11 +4 +1

We then factorize the expressions in x and y separately;

(x-2)^2 + (y +1)^2 = 16

The center of the circle is thus;

(2, -1)

The radius is the square root of 16;

r = 4

find the attached.

Answer:

Center at (-2, -1) and radius = 4

Step-by-step explanation:

We are given the following equation of a circle which we want to convert into the standard form:

[tex]x^2+y^2-4x+2y-11=0[/tex]

Note that

(x + a)² = x² + 2ax + a²

so that

x² + 2ax = (x + a)² - a²

So [tex]x^2+y^2-4x+2y-11=0[/tex]

[tex]x^2-4x+y^2+2y=11[/tex]

[tex](x-2)^2-2^2+(y+1)^2+1^2=11[/tex]

[tex](x-2)^2+(y+1)^2-5=11[/tex]

[tex](x-2)^2+(y+1)^2=16[/tex]

Therefore, this equation represents a circle with center at (-2, -1) and radius √16 = 4, as shown below.

-8x+4=36 What is the solution to this equation

Answers

Answer:

X= -4

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

-8x+4=36

-8x=36-4

-8x=32

x=32/(-8)

x=-4

Which expression represents the total surface area, in square centimeters, of the square pyramid?

Answers

Answer:

Total area = (8.2)(8.2) + 4[1/2(8.2) (10.3)]

Step-by-step explanation:

From figure we can see a square pyramid with base edge 8.2 and slant height 10.3

Points to remember

Total area of square pyramid = Base area + Lateral face area

Lateral face area = 4 * One face area

To find the lateral face area

The face is like a triangle with base 8.2 and slant height = 10.3

Area of triangle = bh/2

Face area = 1/2(8.2) (10.3)

Lateral surface area = 4[1/2(8.2) (10.3)]

To find the base are

Base is a square with base edge = 8.2

Base area = side * side = (8.2)(8.2)

To find the total area of pyramid

Total area = Base area + Lateral face area

Total area = (8.2)(8.2) + 4[1/2(8.2) (10.3)]

Therefore the correct answer is first option

Answer:

(8.2)(8.2) + 4[1/2(8.2) (10.3)]

Step-by-step explanation:

a. i tooke

What is the length of diagonal d of a cube that is 10 on each edge?Round your answer to the nearest tenth of an inch.

Answers

Answer:

17.3 in

Step-by-step explanation:

(a) Diagonal on a face

First, we calculate the diagonal f on a face of the cube.

a² + a² = f²

       f² = 2a²

(b) Diagonal of the cube

Consider the triangle made by the diagonal d, diagonal f, and the edge of the cube

                                                            d² =  f²   + a²

Substitute the value of f²                   d² = 2a² + a² = 3a²

Take the square root of each side     d = a√3

Substitute the value of a                     d = 10√3 = 10 × 1.732 = 17.3 in

The diagonal of the cube is 17.3 in.

Angles b and c are called____angles​

Answers

Answer:

The correct answer would be D they are vertical angles because their vertex touch

Step-by-step explanation:

Answer:

Vertical angles

Step-by-step explanation:

Vertical angles are angles opposite to each other at the intersection of two lines.

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