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2 years ago

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

Mathematics

1 answer:

Korolek [52]2 years ago

8 0

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:

$2x+10=0\\2x=-10\\x=-5$

$x-7=0\\x=7$

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

$(2x+10)(x-7)=0\\(2(7)+10)(7-7)=0\\(24)(0)=0\\0=0$

$(2x+10)(x-7)=0\\(2(-5)+10)(-5-7)=0\\(0)(-12)=0\\0=0$

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The price of the product decreased by 10%and then decreased by 20% . calculate total percentage change between the final and ini

aev [14]

What is percentage change?

By quantifying the difference between two numbers and expressing it as an increase or decrease, the Percentage Change Calculator (percent change calculator) may determine the percentage change.

The initial price $V_{1}$ (100%) was decreased by 10%., then this reduced price is reduced more by 20% that becomes the final price $V_{2}$ which is 72.

Calculate percentage change from $V_{1}=100$ to $V_{2}=72$ .

= $& \frac{\left(V_{2}-V_{1}\right)}{\left|V_{1}\right|} \times 100 \\$

$=& \frac{(72-100)}{|100|} \times 100 \\$

$=& \frac{-28}{100} \times 100 \\$

$=&-0.28 \times 100 \\$

$=&-28 \% \text { change } \\$

$=& 28 \% \text { decrease }$

To know more about percentage change visit:

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2 years ago

G ^-1(3)= A.-1 B.0 C.3 D. 5 Please help me understand this!!

Natasha2012 [34]

The answer the 3,

First you have to apply the exponent rule which is 1 - 3• 1/g

Then you multiply the fractions - 1•3/g

Then multiply the numbers 1 and 3, which is 3, so there you have it 3/g, or 3, they’re the same thing.

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3 years ago

What is the equation of a line that has a y-intercept of 4 and an x-intercept of -2?

Furkat [3]

Answer:

y = 2x + 4

Step-by-step explanation:

Two points on this line are (-2, 0) and (0, 4). Going from the first to the second, x increases by 2 (this is the 'run') and y increases by 4 ('rise').

Thus, the slope of this line is m = rise / run = 4/2 = 2

Using the slope-intercept formula, we get y = mx + b = 2x + b

Let x = -2 and y = 0 to find b: 0 = 2(-2) + b, so b = 4, and the desired equation is then:

y = 2x + 4

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3 years ago

What is 44 dvided into 2 groups with a ratio of 4/7

zalisa [80]

Total units would be: 4+7 = 11

value of 1 unit = 44/11 = 4

Ratio would be: 4(4) & 7(4) = 16 & 28

4 0

4 years ago

Taft CLB Algebra 2 Unit 1: Systems of Linear Equations and Inequalities 2020-2021 / 3 of 13

Tju [1.3M]

Answer:

$B + G \leq 15$

$6B + 10G \geq 90$

Step-by-step explanation:

Given

Represent Babysitting with B

Represent Gas Station with G

Total workhours = At most 15

Earnings = At least $90

First, we need to represent the work hours as inequality

B + G = At most 15

At most 15 means less than or equal to 15.

So, we have:

$B + G \leq 15$

Next, we represent the earnings as inequality.

6 hours of babysitting is: 6B

10 hours at gas station is: 10G

So:

6B + 10G is at least 90

At least 90 means greater than or equal to 90

So, we have:

$6B + 10G \geq 90$

8 0

3 years ago