Describe the zero product property and explain how tu use it to solve (2x + 10) (x - 7) = 0

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Basically, when you have a product to two factors set equal to 0, you can use the Zero Product Property and make two separate equations, both set equal to 0, to find the roots for each factor:

[tex]2x+10=0\\2x=-10\\x=-5[/tex]

[tex]x-7=0\\x=7[/tex]

Notice that by plugging these roots back into the equation, either factor will be 0, making the whole expression 0:

[tex](2x+10)(x-7)=0\\(2(7)+10)(7-7)=0\\(24)(0)=0\\0=0[/tex]

[tex](2x+10)(x-7)=0\\(2(-5)+10)(-5-7)=0\\(0)(-12)=0\\0=0[/tex]


Related Questions

25 points for just a simple question look at image below.

Answers

Answer:

Corresponding angles are always congruent

A circle has radius of 12 inches. What is the length of the arc subtended by a central angle
of 7/6 radians? Round to the nearest ioth.

Answers

Answer:

why are you here have no brain

Step-by-step explanation:

Nine balls, each marked with a number from 1 to 9, are placed in a bag and one ball is taken at random. What is the probability that the number on the ball is multiple of 2?

A.1/9
B.2/9
C.4/9
D.1

Answers

Total balls=sample space=9

Multiples of 2

{2,4,6,8}

Total multiples=4

Probability

4/9

Option C

Hello, the answer should be [tex]\frac{4}{9}[/tex], C option.

First, let's define the numbers that are a multiple of 2 from the balls we have.

2468

Then, we will calculate our probability. To do this correctly, we must divide the amount of expected states into the amount of all the states.

Expected numbers: 2-4-6-8

All numbers: 1-2-3-4-5-6-7-8-9

[tex]P=\frac{{2,4,6,8}}{1,2,3,4,5,6,7,8,9} =\frac{4}{9}[/tex]

Good luck! If you have any questions, then feel free to ask in comments!

Which equation represents the directrix? y = –3 y = 3 x = –3 x = 3

Answers

The equation that represents the directrix of y² = 12x is x = -3

How to determine the directrix?

The parabola is given as:

y² = 12x

The general equation of a parabola is

(y-y₀)² = 4a(x-x₀)

Where the equation of the directrix is x = x₀ - a

By comparing (y-y₀)² = 4a(x-x₀) and y² = 12x, we have:

4a = 12 and x-x₀ = x

Solve for a in 4a = 12

a = 3

Solve for x₀ in x-x₀ = x

x₀ = 0

Substitute a = 3 and x₀ = 0 in x = x₀ - a

x = 0 - 3

Evaluate

x = -3

Hence, the equation that represents the directrix is x = -3

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How do you solve for area?​

Answers

multiply the length by the width.

Please help giving 80 points
Graph the function on the coordinate plain

A)what are the x intercepts
B)what is the y intercepts
C)what is the maximum and minimum value

Answers

Answer:

it should be C I did something very very similar to this but different questions

Answer:

 a) {-6, 2}

 b) -12

 c) minimum: -16

Step-by-step explanation:

I find a graphing calculator to be a big help. Its graph is attached.

a) The function can be factored as:

 f(x) = (x -2)(x +6)

The factors are zero at the x-intercepts: x = 2, x = -6.

b) The y-intercept is the function value when x=0. That is the constant in the function. The y-intercept is -12.

c) The leading coefficient of the function is positive, so its graph opens upward. The extreme value is a minimum. It is found on the axis of symmetry, at the x-value that is halfway between the x-intercepts: x = (2-6)/2 = -2. The function value there is ...

f(-2) = (-2-2)(-2+6) = -4(4) = -16

The minimum is f(-2) = -16.

4 ÷ 5/7 Give your answer as a mixed number in its simplest form.

Answers

Answer:

5.6

Step-by-step explanation:

4 ÷ 5/7

is 4 divide 5 over 7

which is 5.6

The graph shows triangle A B C is congruent to triangle D E F ​by S A S, where segment C A is congruent to segment F D, segment C B is congruent to segment F E, and angle C is congruent to angle F

Move the statements to the table to create a series of transformations that will map triangle A B C onto triangle D E F to show that the two triangles are congruent.
What is Transformation 1 and. Transformation 2

Answers

reflection on x-axis

then translations right 3 units & down 2 units

There are 914 students enrolled in Lakeview Elementary School. Frederich Elementary School has 276 fewer students enrolled. How many students are enrolled at Frederich Elementary School?

Answers

The answer is 638 cause 914-276 is 638

Answer:

638 students.

Step-by-step explanation:

girl this is basic math i don’t  think i need to explain

Four students, Adrian, Claire, Jackson, and Wyatt, line up one behind the other. How many different ways can they stand in line?
Hannah is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange, and flips a coin?

Answers

Their are 16 different ways they can line up and for the second one is 43 outcomes

use Demoiure's Theorem to find (-2-2√3i)³

Answers

Let z = -2 - 2√3 i.

Find the modulus of z :

|z| = √((-2)² + (-2√3)²) = √16 = 4

Find the argument of z (note that z lies in the third quadrant):

arg(z) = arctan(2√3/2) - π = arctan(√3) - π = -2π/3

Then in polar form, we have

[tex]z = -2 - 2\sqrt 3\, i = 4 \exp\left(-i\dfrac{2\pi}3\right)[/tex]

By DeMoivre's theorem, the cube of z is

[tex]z^3 = \left(4 \exp\left(-i\dfrac{2\pi}3\right)\right)^3 = 4^3 \exp(-i 2\pi) = \boxed{64}[/tex]

Suppose you roll two number cubes. What is the probability of getting:
a. exactly one cube showing an even number?
b. at least one cube showing an even number?
c. two values that have a sum of at least 7?

Answers

Answer:

are a, b, and c the options or are they different questions?

it is a because it’s right i took this answer and got it right .

The table compares the number of songs and the number of videos Ruby's friends keep on their mobile phones.
Can the number of videos Ruby's friends keep on their phone be represented as a function of the number of songs?
Songs Videos
200200200 101010
125125125 545454
310310310 112112112
172172172 373737
215215215 434343
260260260 585858
125125125 666666
322322322 878787

Answers

A function assigns the values. The table can be represented by a function.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

No, the number of videos kept on Ruby's friends' phones cannot be expressed as a function of the number of songs. A function produces a distinct result for each input. When the input is 125, we get two distinct results. As a result, the table does not represent a function.

Hence, the table can be represented by a function.

Learn more about Function:

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What multiplies to 4 and adds to 6​

Answers

Answer: 2

Step-by-step equation: 2 x 2= 4
2 + 4= 6

Will mark brainlist to whoever answers first
(3).

Answers

Answer:

70

Step-by-step explanation:

in parallelograms, the measure of reciprocal angles is equal to 180 because they are supplementary,

m<D = 110 so the measure of m<A which is reciprocal to m<D is equal to 70

An airliner has 40 rows of seats. Each row has 2 seats on one side, 3 seats in the middle and 2 seats on the other side. How many seats are in the crows ? a) 280 b) 950 c) 400 d) 3,590​

Answers

Answer:

280 seats

Step-by-step explanation:

40*7 = 280

Answer:

18

Step-by-step explanation:

Renting Cars Floppy Jalopy Rent-a-Car has 25 cars available for
rental-20 big bombs and 5 midsize cars. If two cars are selected at
random, what is the probability that both are big bombs?

Answers

The probability that both are big bombs is 19/30 or 0.63 if the renting Car's Floppy Jalopy Rent-a-Car has 25 cars available for rental-20 big bombs and 5 midsize cars. If two cars are selected at random.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

Renting Cars Floppy Jalopy Rent-a-Car has 25 cars available for rental-20 big bombs and 5 midsize cars. If two cars are selected at random.

Total number of outcomes = C(25, 2) = 300

Total number of favorable outcomes = C(20, 2) = 190

Probability = 190/300 = 19/30 or

= 0.63

Thus, the probability that both are big bombs is 19/30 or 0.63 if the renting Car's Floppy Jalopy Rent-a-Car has 25 cars available for rental-20 big bombs and 5 midsize cars. If two cars are selected at random.

Learn more about the probability here:

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The top few hits from a search engine claim that approximately 10% of the population in the United States is left-handed. From a random sample of 20 students at your high school, you find 6 left-handed students, which gives you reason to believe that the true parameter is greater than 10%.

Use the drop-down menus to complete the statements.

Using a random number table, let digits
represent left-handed individuals and let digits
represent right-handed individuals.

Moving left to right across a row, select
numbers at a time and record the proportion of left-handed individuals.

Answers

Answer:

ok but question should be more clear though this is hard to understand

Answer:

0, 1-9, 20

Step-by-step explanation:

Pre-calc 2021

A shop is selling notebooks for £1.50 each.
They have a buy one get one half price offer on.
How many notebooks can be bought for £25?

Answers

Answer:

18 . 75

Step-by-step explanation:

1.50's half is 0.75 , Then multiply £1.50 × £25

Answer:

one book=1.50

the other half priced book=0.75

so 0.75+1.50=2.25

25/2.25

=11.111

so eleven books

Find the volume of this cone round your answer to the nearest whole number use 3.14 for pi diameter = 5 mm, height = 6 mm

Answers

Answer:

Answer = 39.25 or 39 if rounded to the nearest whole number

Step-by-step explanation:

The formula for finding the volume of a cone is h(pi)(r^2)/3. We know that the height is 6 and the diameter is 5. Since we know the diameter we know that the radius is 2.5 since it is one half of the diameter. Now that he know the radius and height we can plug the values into the equation to get V=39.25

Hope that helps! :)

Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the origin. Use the polygon tool to graph the dilated figure.

Answers

Answer:

answer is (-2,1), (-1,4), (1,2)

pls mark me as brainliest

Enter the number that 95.746 rounds to when rounded to the nearest hundredth.

Answers

Answer:

95.75

Step-by-step explanation:

Note the place values:

9   (tens place value)

5   (ones place value)

.

7   (tenths place value)

4   (hundredths place value)

6   (thousandths place value)

~

In this case, you want to round to the nearest hundredth place value. to round, look at the place value directly right of the place value you are solving for (in this case, the thousandths place value). The value is 6.

Note:

When the value of the digit is 5 or greater, you round up. When the value of the digit is 4 or less, you round down.

In this case, the value is 6, so you will round up:

95.746 rounded to the nearest hundredth is 95.75

~

pls help and thank you ​

Answers

Answer:

cost price of the bat: $3130.43

Step-by-step explanation:

3600/1.15 = 3130.43

Hope this helps

what is the volume of 480in

Answers

Answer:

please check the question, it is not straight forward

what is this? please help​

Answers

Answer:

4

Step-by-step explanation:

Mean is another way to say the average of a set of numbers. To find the average you need to add all the numbers in the set together, and then divide by the amount of numbers that where given.

In this case:

6 + 8 + 2 + 0 + 4 + 5 + 3 = 28

there are 7 numbers given in the set, so you divide 28 by 7 to get your mean.

28 / 7 = 4

Answer:

4

Step-by-step explanation:

To find the mean of a set of numbers, you add up all the numbers and then divide them by the amount of numbers there are.

So, let's add up these numbers.

6 + 8 + 2 + 0 + 4 + 5 + 3 = 28

Now, there are a total of 7 numbers, so we divide 28 by 7.

28 / 7 = 4

Therefore, the mean of this data set is 4. I hope this helps! Have a lovely day!!

Write a statement that indicates that the triangles in each pair are congruent.

Answers

Answer:

If the angle degree and size of triangle are similar or same, it is depicted as congruent.

Jeanette chose 100 of the 300 students in her grade level at random and asked what their favorite team sport to play was. The results are shown in the table below. Based on the results in the table, is it valid to infer that more students in Jeanette′s grade like to play basketball than football? Explain your answer.

Answers

Answer:

It is valid that more students in Jeanette′s grade like to play basketball than football because 33 people play basketball and only 18 people play football.

Step-by-step explanation:

Answer:

I think that it is not valid to infer that more students in Jeanette's grade like to play basketball than football because she gathered the results of 100 students only which is not even 100% of the total no of students in her grade.

Step-by-step explanation:

Need help please answer ASAP!

Answers

Answer:

    29. (2) 12

    30. (1) a slope of 3/2 and a y-intercept of -6

    31. (1) 12

    32. (4) 8%

    33. (1) -5

Step-by-step explanation:

Question 29

2x/3 - 5 = x/42x/3 - x/4 = 5(8x - 3x)/12 = 55x = 60x = 12(2) 12

Question 30

3x - 2y = 122y = 3x - 12y = 3x/2 - 6It has a slope of 3/2 and y-intercept of -6(1) a slope of 3/2 and a y-intercept of -6

Question 31

(x - 4)(x + a) = x² - x + w = 0a - 4 = -1a = 3(x - 4)(x + 3) = x² - x - 12 = 0w = 12(1) 12

Question 32

Sales tax = $20.51 - $18.99 / $18.99Sales tax = $1.52/$18.99Sales ≈ 8%(4) 8%

Question 33

C = 5/9 [23 - 32]C = 5/9 (-9)C = -5(1) -5

Somebody please help me on this

Answers

Answer:

36

Step-by-step explanation:

unknown angle = given angle - 360 because a full circle is 360°

so unknown angle "n" = 360 - 324 = 36

please help me It's pythagorean theorem

Answers

Answer: 4

Step-by-step explanation:

3^2 + b^2 = 5^2

9 + b^2= 25

b^2 = 16

b = ±4

Answer:

The simple answer is 4 inches for steps look below

Step-by-step explanation:

According to pythagoras theorem

[tex] {5}^{2} = {3}^{2} + {x}^{2} \\ \\ \\ 25 - 9 = {x}^{2} \\ \\ x = 4[/tex]

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

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