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3 years ago

Corey bought 2 1/2 litters of paint for $60. What was the cost per liter of paint?

Mathematics

2 answers:

Afina-wow [57]3 years ago

5 0

2 1/2 liters of paint cost $60 so than 1 liter cost $24

schepotkina [342]3 years ago

4 0

I hope this helps you

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What is the value of x?

Dafna1 [17]

Answer:

$3x = 12x - 81$ (vertically opposite angles)

$→3x - 12x = - 81$

$→- 9x = - 81$

$→x = \frac{ - 81}{ - 9}$

$→x = \frac{81}{9}$

$→x = 9$

hope it helped you:)

5 0

3 years ago

Which graph represents the function f(x)= 1/x - 1<br> PLEASE ANSWER FAST IM TIMED

marusya05 [52]

Number 3, because if you replace x for 1 then you get zero. and because it is rise over run then the run is 0. it is the only line with a run of 0

6 0

3 years ago

Read 2 more answers

Mark ran 875 miles this year in the track club.Mark ran in 52 track meets and ran the same number of miles in each.How many mile

shepuryov [24]

Answer:

The number of miles Mark runs in each track be $16 \frac{43}{52}\ miles$

Step-by-step explanation:

Let us assume that the number of miles Mark run in each track meet be x.

As given

Mark ran 875 miles this year in the track club.

Mark ran in 52 track meets and ran the same number of miles in each.

Than the equation becomes

52 × x = 875

$x = \frac{875}{52}$

$x = 16 \frac{43}{52}\ miles$

Therefore the number of miles Mark runs in each track be $16 \frac{43}{52}\ miles$

7 0

3 years ago

(08.07 HC)

andreev551 [17]

Answer:

$\textsf{A)} \quad x=-2, \:\:x=\dfrac{5}{2}$

$\textsf{B)} \quad \left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)$

C) See attachment.

Step-by-step explanation:

Given function:

$f(x)=2x^2-x-10$

To factor a <u>quadratic</u> in the form $ax^2+bx+c$ <em> , </em>find two numbers that multiply to $ac$ and sum to $b$ :

$\implies ac=2 \cdot -10=-20$

$\implies b=-1$

Therefore, the two numbers are -5 and 4.

Rewrite $b$ as the sum of these two numbers:

$\implies f(x)=2x^2-5x+4x-10$

Factor the first two terms and the last two terms separately:

$\implies f(x)=x(2x-5)+2(2x-5)$

Factor out the common term (2x - 5):

$\implies f(x)=(x+2)(2x-5)$

The x-intercepts are when the curve crosses the x-axis, so when y = 0:

$\implies (x+2)(2x-5)=0$

Therefore:

$\implies (x+2)=0 \implies x=-2$

$\implies (2x-5)=0 \implies x=\dfrac{5}{2}$

So the x-intercepts are:

$x=-2, \:\:x=\dfrac{5}{2}$

The x-value of the vertex is:

$\implies x=\dfrac{-b}{2a}$

Therefore, the x-value of the vertex of the given function is:

$\implies x=\dfrac{-(-1)}{2(2)}=\dfrac{1}{4}$

To find the y-value of the vertex, substitute the found value of x into the function:

$\implies f\left(\dfrac{1}{4}\right)=2\left(\dfrac{1}{4}\right)^2-\left(\dfrac{1}{4}\right)-10=-\dfrac{81}{8}$

Therefore, the vertex of the function is:

$\left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)$

Plot the x-intercepts found in Part A.

Plot the vertex found in Part B.

As the <u>leading coefficient</u> of the function is positive, the parabola will open upwards. This is confirmed as the vertex is a minimum point.

The axis of symmetry is the <u>x-value</u> of the <u>vertex</u>. Draw a line at x = ¹/₄ and use this to ensure the drawing of the parabola is <u>symmetrical</u>.

Draw a upwards opening parabola that has a minimum point at the vertex and that passes through the x-intercepts (see attachment).

5 0

2 years ago

Find sin θ, cot θ, and csc θ, where θ is the angle shown in the figure.

Natalka [10]

Step-by-step explanation:

everything can be found in the picture

8 0

3 years ago