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3 years ago

Solve for f. d(e-f)=g

Mathematics

1 answer:

Yakvenalex [24]3 years ago

8 0

Isolate the variable by dividing each side by factors that don't contain the variable.

f=e-g/d

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The regular price of an item is $35. the item is on sale with a discount of $10. what is the discount rate?

salantis [7]

About 29 percent. you would do 10*100/35=28.87 you would round up to 29 percent

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3 years ago

HURRY PLEASE!!!!!

tatuchka [14]

Answer:

1.32t

Step-by-step explanation:

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3 years ago

1. Use complete sentences to explain how it is possible to get linear factors of a polynomial.

vazorg [7]

1.)If f(a) = 0, then x - a is a factor of the polynomial.

2.) x + 3 is a factor of the polynomial.

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3 years ago

A biologist studied how cells grow by adding liquid protein to cell samples. She reported in her study that she divided 3/5 of a

r-ruslan [8.4K]

Answer: $\dfrac{1}{5}\text{ of an ounce.}$

Step-by-step explanation:

Given : A biologist studied how cells grow by adding liquid protein to cell samples.

She divided $\dfrac{3}{5}$ of an ounce of liquid protein evenly among 3 cell samples.

Here , total quantity of liquid protein = $\dfrac{3}{5}$ of an ounce

Total cell samples = 3

Now , Quantity of liquid protein given by her to each cell = (total quantity of liquid protein ) ÷ (3)

= $\dfrac{3}{5}\times\dfrac{1}{3}=\dfrac{1}{5}\text{ of an ounce}$ .

Hence, Quantity of liquid protein given by her to each cell = $\dfrac{1}{5}\text{ of an ounce.}$

4 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).

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2 years ago