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3 years ago

Why so HARD TO DO HELP

Mathematics

2 answers:

hram777 [196]3 years ago

6 0

Answer:

It is the second one, 5x + 30 ≥ 120

Step-by-step explanation:

liberstina [14]3 years ago

3 0

It is the second one

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2. Abby found the axis of symmetry, x-coordinate, the vertex, and y-intercept

krek1111 [17]

Using quadratic function concepts, it is found that Abby made a mistake on the coordinates of the vertex, which are (-4,1).

----------------------

A quadratic function is defined by:

$y(x) = ax^2 + bx + c$

The y-intercept is given by point: $(0, y(0))$
The vertex is given by: $(-\frac{b}{2a}, y(-\frac{b}{2a}))$ .
The axis of symmetry is: $x = -\frac{b}{2a}$

----------------------

The function given is:

$f(x) = -x^2 - 8x - 15$

Which is a quadratic equation with: $a = -1, b = -8, c = -15$ .
$f(0) = -0^2 - 8(0) - 15 = -15$ , thus, the y-intercept is (0, -15).

$x_v = -\frac{b}{2a} = -\frac{(-8)}{2(-1)} = \frac{8}{-2} = -4$

Thus, the <u>x-coordinate of the vertex</u> is x = -4, which is the same as the <u>axis of symmetry</u>.

$f(-4) = -(-4)^2 - 8(-4) - 15 = 1$

The vertex is given by: (-4,1).

A similar problem is given at brainly.com/question/14680175

8 0

3 years ago

How do I solve this using the substitution method for finding anti derivatives?

rewona [7]

A bit blurry, but if I'm making it out correctly, that's

$\displaystyle\int t\sqrt{(t^2-9)^3}\,\mathrm dt=\int t(t^2-9)^{3/2}\,\mathrm dt$

Set $u=t^2-9$ . Then $\mathrm du=2t\,\mathrm dt$ , or $t\,\mathrm dt=\dfrac{\mathrm du}2$ . The integral is then equivalent to

$\displaystyle u^{3/2}\dfrac{\mathrm du}2=\frac12\int u^{3/2}\,\mathrm du$
$=\dfrac12\dfrac{u^{5/2}}{\frac52}+C$
$=\dfrac12\times\dfrac25u^{5/2}+C$
$=\dfrac15u^{5/2}+C$
$=\dfrac15(t^2-9)^{5/2}+C$

6 0

3 years ago

List all the 4 digit numbers that fit these clues

natita [175]

If you give the clues I could help.

4 0

4 years ago

ABC

Virty [35]

Answer:

Step-by-step explanation:

if the shadows are half of each other then the building is going to be half of the tree

8 0

3 years ago

Which of the following measurements are greater than 130 fluid ounces? Select all that apply.

Marianna [84]

Hello!

130 ounces is about 4 quarts so 5 quarts is larger

130 ounces is slightly above 16 cups so 16 cups is lower

130 ounces is about 8 pints so 9 pints is larger

130 ounces is slightly above a gallon so 2 gallons is larger

130 ounces is slightly above a gallon so 1 gallon is smaller

The answers are A) 5 quarts, C) 9 pints, and D) 2 gallons

Hope this helps!

3 0

4 years ago