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2 years ago

Simplify by using the distributive property and then combining like terms for the expression 7(2x+3)

Mathematics

1 answer:

max2010maxim [7]2 years ago

6 0

Answer:

14x+21

Step-by-step explanation:

7*2x=14x

7*3=21

14x+21

hope this helps :9

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Sanjay graphs a quadratic function that has x-intercepts of –3 and 7. Which functions could he have graphed?

kykrilka [37]

we will select each options and find zeros

(a)

$g(x)=x^2-4x-21$

for finding x-intercept , we can set g(x)=0

and then we can solve for x

$g(x)=x^2-4x-21=0$

now, we can factor it

$(x-7)(x+3)=0$

we get

$x=7,x=-3$

so, this is TRUE

(b)

$g(x)=(x-3)(x+7)$

we can set it to 0

and then we can solve for x

$g(x)=(x-3)(x+7)=0$

we get

$x=3,x=-7$

so, this is FALSE

(c)

$g(x)=3x^2-12x-63$

we can set it to 0

and then we can solve for x

$g(x)=3x^2-12x-63 =0$

$3(x^2-4x-21) =0$

$3(x-7)(x+3) =0$

$x=-3,x=7$

so, this is TRUE

(d)

$g(x)=-(x+3)(x-7)$

now, we can set it to 0

and then we can solve for x

$g(x)=-(x+3)(x-7)=0$

$x=-3,x=7$

so, this is TRUE

(e)

we have

$g(x)=x^2+4x-21$

now, we can set it to 0

and then we can solve for x

$g(x)=x^2+4x-21=0$

$(x+7)(x-3)=0$

$x=-7,x=3$

so, this is FALSE

5 0

3 years ago

Read 2 more answers

What is the rate in feet per second? 10 feet 16 seconds

Ierofanga [76]

Feet
_____
second

10 feet
________
16 second

equals

.625 feet per second

7 0

3 years ago

If 11 - 3x = x, then 20x=

dimaraw [331]

Answer:

20x = 55

Step-by-step explanation:

First you have to add 3x to both sides of 11-3x=x

$11-3x=x\\+3x=+3x\\11=4x$

Now that you have 11 = 4x you divide 4 on both sides $\frac{11}{4} =\frac{4x}{4}$

11/4 = x

But you can't divide 11 by 4 unless you are looking for the decimal form of 11/4 which is 2.75

so now we take 11/4 or 2.75 depending on if you need your answer in fraction or as a decimal and replace that with x however both will equal the number 55

$20(\frac{11}{4})=55\\20(2.75)=55$

4 0

2 years ago

Find the measure of an angle such that the difference between the measures of its supplement and four times its complement is 30

Katarina [22]

Answer:

70 degrees

Step-by-step explanation:

x = angle

180 - x = it's supplement

90 - x = it's compliment

(180 - x) - 4(90 - x) = 30

180 - x - 360 + 4x = 30

reducing

3x = 210

x = 70

7 0

3 years ago

Photon Lighting Company determines that the supply and demand functions for its most popular lamp are as follows: S(p) = 400 - 4

Alinara [238K]

S(p)=D(p)
400-4p+0.00002p4=2,800-0.0012p3
Solve for p
P=96.24

8 0

3 years ago

Read 2 more answers