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3 years ago

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

Mathematics

2 answers:

kykrilka [37]3 years ago

5 0

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

konstantin123 [22]3 years ago

4 0

Answer:A. C. D

Step-by-step explanation:

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Bob has two weekend jobs last weekend he made a total of $77 after working as a cashier for 5 hours and delivering newspapers fo

OlgaM077 [116]

Answer: $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.

Step-by-step explanation:

1. Let's call the amount he got paid per hour at his job as a cashier: $x$ .

Let's call the amount he got paid per hour at his job delivering newspapers: $y$ .

2. Keeping on mind the information given in the problem above, you can make the following system of equations:

$\left \{ {{5x+4y=77 \atop {6x+3y=78}} \right.$

3. You can solve it by applying the Substitution method, as following:

- Solve for one of the variables from one of the equations and substitute it into the other equation to solve for the other variable and calculate its value.

- Substitute the value obtained into one of the original equations to solve for the other variable and calculate its value.

4. Therefore, you have:

$5x+4y=77\\5x=77-4y\\x=\frac{77-4y}{5}=15.4-0.8y$

Then:

$6(15.4-0.8y)+3y=78\\92.4-4.8y+3=78\\-1.8y=-14.4\\y=8$

Finally:

$5x+4(8)=77\\5x+32=77\\5x=45\\x=9$

Therefore he got paid $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.

5 0

3 years ago

Simplify <br>it was x there so u not confused

Mariulka [41]

Step-by-step explanation:

here's the solution: -

=》

$\frac{x {}^{6} }{ {x}^{4} } \times {x}^{2}$

=》

$\frac{x \times x \times x \times x \times x \times x}{x \times x \times x\times \: x } \times x \times x$

=》

$x \times x \times x \times x$

=》

${x}^{4}$

5 0

3 years ago

If you have a spinner with 5 slots, what is the compound probability of spinning an even number, then an odd number? Expressed a

Minchanka [31]

Since the spinner has 5 slots it contains 3 odd and 2 evens,

Odds ⇒ 1, 3, 5

Evens⇒ 2,4

this can be expressed as

$\frac{2}{5} =\frac{x}{100}$ , cross multiply and we get

$5x=200$

$x=40$ %

6 0

2 years ago

Read 2 more answers

sophie was 28 years old when daughter Nichole was born. In how many years will Sophie be two years less than still times Nichole

Kamila [148]

It will take 6 years for that to happen.

You can find this by setting Nichole's age as x and Sophie's age as x + 28 since she will always be 28 years older.

Now we are looking for a time that Sophie's age is equal to 2 less than 6 times Nichole's age. So we can set up the below equation.

6(x) - 2 = x + 28
6x - 2 = x + 28
5x - 2 = 28
5x = 30
x = 6

This let's us know that it needs to be when Nichole is 6, which is 6 years in the future.

6 0

3 years ago

10x + (-8)= -3x + 2<br> How do I solve this in pemda order

larisa [96]

Answer:

x= 10/13

Step-by-step explanation:

First, we need to put the variable on one side and the constants on another side.

Also a positive and a negative equal a negative. [this is related to +(-8)]

10x+(-8)= -3x+2

+3x +3x

13x-8=2

+8 +8

13x=10

Finally you divide on both sides

13x/13=10/13

x= 10/13

I hope this is right! I tried my best

4 0

3 years ago