How can you solve multistep equations that represent real world<br> scenarios?

Use the order of operations to simplify one ninths time three cubed minus nine times one sixth plus two thirds

Scilla [17]

Answer:

5/6

Step-by-step explanation:

7 0

3 years ago

When rolling a number cube numbered 1 to 6, how would you describe the chances of rolling a number greater than or equal to 3 ve

katrin2010 [14]

The answer is A because there is a higher chance of the number cube rolling a 3,4,5 or 6 than the cube rolling a 1 or 2. It’s 4 against 2

8 0

3 years ago

Help anyone?? Not that hardd<br> no links ! :(

Ivanshal [37]

Answer:

1.2

Step-by-step explanation:

First, you cancel out $\frac{6}{20}$ to become $\frac{3}{10}$

Then that becomes $-\frac{3}{10}+1.5$

Now, you convert the element to a decimal form to be $-0.3+1.5$

Finally, you subtract them (because a negative plus a positive is subtraction) to get the final answer of 1.2

Hope this helps!

6 0

2 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

You have entered a pie baking contest. In the contest, you must make several pies for the judges to taste. You will make your fa

andreyandreev [35.5K]

Answer:

x=2.5 cups are needed for 2 pies

Step-by-step explanation:

4/5 or 0.8

Fraction form: 4/5x = 2 x= 5/4

Decimial form: 0.8x = 2 x = 2.5

Mixed number form: 2 1/2

Hope that helped :)

8 0

3 years ago

How can you solve multistep equations that represent real world scenarios?