MATHEMATICS MIDDLE SCHOOL

The function f is defined by f(x) = (x + 3)(x + 1).The graph of f in the xy-plane is a parabola. Which
of the following intervals contains the x-coordinate
of the vertex of the graph of f?

Answers

Answer 1
Answer:

Answer:

Below in bold.

Step-by-step explanation:

The  zeroes ( = x-intercepts) are x = -3 and x = -1.

So the x -coordinate of the vertex is between x = -3 and x = -1.

The actual x-coordinate is halfway between these value: at x = -2.
Answer 2
Answer:

Answer:

x = -3 or x = -1

Step-by-step explanation:

f(x) = (x + 3)(x + 1)

⇒ x = -3 or x = -1

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What is the square rute of 81

Answers

The Square Root of 81 is 9.

Square roots are asking what number multiplied by itself equals the number inside the radical.
√(81)=9

What is 10% of 400.00

Answers

If you want to evaluate whatis 10 percent of 400, youcan do this using the following few steps:

10% * 400 = 10/100 * 400 = 0.1 * 400 = 40

10% of 400 is 40.
'of' in mathematics means multipication

10% = 10/100 = 0.1

400 x 0.1 = 40

Your answer is 40.

Guests at a pizza party are seated at three tables. The small table has 8 seats and 3 pizzas. The medium table has 10 seats and 4 pizzas, The large table has 14 seats and 6 pizzas. The pizzas at the table are shared equally. At which table does a guest get the most pizza? the medium? large? or small?

Answers

Answer:

the small table

Step-by-step explanation:

i took the test

The medium table will give you the most amount of pizza because you will get 1/5 of the total amount of pizza

Solve the system by substitution :y=2x+2
y=3x
a.) (3,9) b.) (1,4)
c.) (-2,-4)

Answers

So since we already have one of the unknowns equaling something, we start by substituting...

y= 3x so let's substitute 3x into the first equation where the y is...

y = 2x + 2
3x = 2x + 2
subtract 2x from each side
x = 2

So now we know x = 2 So we can now substitute it back into the equation but for x this time...

y = 2x + 2
y = 2(2) + 2
y = 4 + 2 = 6

So our solution set is

(2, 6)

You can check it by substituting x and y into both of the equations to see if you have a true statement...

y= 2x + 2
6 = 2×2 + 2
6 = 6

y = 3x
6 = 3×2
6 = 6

Both true so it checks!

*note- I noticed that my solution was not one of your options, but if you substitute the available option that you gave into the equations none of them work, so take a look at your possible answers and see if you didn't leave something out. ;)

What is 3 to the 3rd power times 3 to the 4th power

Answers

3 × 3 × 3 = 27
3 × 3 × 3 × 3 × 3 = 81
81 × 27 = 2,187
Three to the third power times three to the fourth power is 2,187, which is also known as three to the seventh power.
3^3\cdot3^4=3^7

Multiply.  560.9 • 2.8
 A.15705.2
 B.1570.52
 C.157.052
 D.15.7052

Answers

560.9
*  2.8
ignore the decimals and multiply, as whole numbers.
5609 * 28 = 157052
now since there were two spots behind the decimal, squeeze the decimal in the number.
1,570.52 is the answer. which is B
560.9 x 2.8 = 1570.52
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