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3 years ago

14

Let z = 5. What is the value of (10 + 25) ÷ z?

1 answer:

Murrr4er [49]3 years ago

5 0

Answer:

<h2>A. 7</h2>

Step-by-step explanation:

Put z = 5 to the expression (10 + 25) ÷ z:

(10 + 25) ÷ 5 = 35 ÷ 5 = 7

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which statements are true about the graph of the function f(x) = 6x – 4 x2? check all that apply. the vertex form of the functio

Brut [27]

Answer:

The vertex of the function is the point $(-3,-13)$

The graph increase over the interval--------> (-3,∞)

Step-by-step explanation:

we have

$f(x)=6x-4+x^{2}$

<u>1) Convert to vertex form</u>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+4=x^{2}+6x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)+4+9=x^{2}+6x+9$

$f(x)+13=x^{2}+6x+9$

Rewrite as perfect squares

$f(x)+13=(x+3)^{2}$

$f(x)=(x+3)^{2}-13$ -----> function in vertex form

<u>2) Find the vertex</u>

The vertex of the function is the point $(-3,-13)$

<u>3) Find the axis of symmetry</u>

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

The x-coordinate of the vertex in this problem is equal to $x=-3$

therefore

the equation of the axis of symmetry is $x=-3$

<u>4) Find the increase-decrease intervals</u>

The graph increase over the interval--------> (-3,∞)

The graph decrease over the interval--------> (-∞,-3)

see the attached figure to better understand the problem

<u>5) Find the x-intercepts of the function</u>

we know that

the x-intercepts are the values of x when the value of the function is equal to zero

In this problem the x-intercepts are

$(-6.61,0)$ and $(0.61,0)$

so

The function cross the x-axis twice

see the attached figure

5 0

3 years ago

Read 2 more answers

Help me and thx alot

Svet_ta [14]

Answer:

easyyyyyyy

Step-by-step explanation:

table J!

8 0

2 years ago

Find the range of the function for the given domain: f(x)=2x^2−7 with domain: x = {-4, -2, 0, 3}

-BARSIC- [3]

Answer:

f(x)=2(-4)^2-7

=-8^2-7

= 64-7

=57

7 0

2 years ago

Help me plsss! Thank you

Brrunno [24]

You want to calculate the interest on $3020 at 5% interest per year after 6 6 month period(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $3020.00.

r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

t is the time involved, 6....6 month period(s) time periods.

Since your interest rate is "per year" and you gave your time interval in "6 month period(s)" we need to convert your time interval into "year" as well.

Do this by dividing your time, 6- 6 month period(s), by two (2), since there's two 6-month periods in 1 year.

So, t is 3....year time periods.

To find the simple interest, we multiply 3020 × 0.05 × 3 to get that:

The interest is: $453.00

Usually now, the interest is added onto the principal to figure some new amount after 6 6 month period(s),

or 3020.00 + 453.00 = 3473.00. For example:

If you borrowed the $3020.00, you would now owe $3473.00

If you loaned someone $3020.00, you would now be due $3473.00

If owned something, like a $3020.00 bond, it would be worth $3473.00 now.

4 0

3 years ago

Read 2 more answers

Help asap my last question GIVING BRAINLIST!!!!

Alex

Answer:

1) $x < 0$

2) $x > 0$

3) $x < 10$

4) $x < -\frac{31}{55}$

5) $x \geq 0$

6) $x \geq -1$

Step-by-step explanation:

1) $-3 > 2x -3$

$2x- 3 < -3$

$2x - 3 + 3 < -3 +3$

$2x < 0$

$\frac{2x}{2} < \frac{0}{2}$

$x < 0$

2) $5 > -x + 5$

$-x + 5 < 5$

$- x + 5 -5 < 5 - 5$

$-x < 0$

$\frac{-x}{-1} < \frac{0}{-1}$

$x > 0$

3) $\frac{x}{5} -2 < 0$

$5 \times (\frac{x}{5} - 2 ) \times 5 < 0$

$x - 10 < 0$

$x -10 + 10 < 0 +10$

$x < 10$

4) $-5x + 11 > 31$

$-5x \cdot 11 < 31$

$-55x < 31$

$\frac{-55x}{-55} > \frac{31}{-55}$

$x < -\frac{31}{55}$

5) $\frac{1}{2}x - 4 \geq -4$

$\frac{1}{2}x -4 +4 \geq -4 +4$

$\frac{1}{2}x \geq 0$

$\frac{\frac{1}{2}x }{\frac{1}{2} } \geq \frac{0}{\frac{1}{2} }$

$x \geq 0$

6) $-4x + 2 \leq 6$

$-4x +2 - 2 \leq 6 -2$

$-4x < 4$

$\frac{-4x}{-4} \leq \frac{4}{-4}$

$x \geq -1$

6 0

3 years ago