All categories

3 years ago

Solve the equation below 3x—5(x+2)=-40

Mathematics

1 answer:

White raven [17]3 years ago

8 0

Answer:

x = 15

Step-by-step explanation:

Step 1: Distribute

3x - 5(x) - 5(2) = -40

3x - 5x - 10 = -40

Step 2: Combine like terms

-2x - 10 = -40

Step 3: Add 10 to both sides

-2x - 10 + 10 = -40 + 10

Step 4: Divide both side by -2

-2x / -2 = -30 / -2

x = 15

You might be interested in

Answer the following 3 questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!

Rzqust [24]

1. C) 40k + 40l (Multiply 40 by each of the factors in the parentheses and show as an addition expression.)

2. C) -4 (Divide the two numbers.)

3.D) -3

7 0

3 years ago

Read 2 more answers

Mia buys 5 yards of ribbon to make bracelets.She need 18 inches of ribbon to make 1 bracelet. How many bracelet can Mia make if

melisa1 [442]

Divide the total number of yards (5 yards) by the bracelet size (18").

STEP 1:
convert total yards to inches

1 yard= 36 inches

= 5 yards * 36 inches
= 180 inches total

STEP 2:
divide total inches by bracelet size

= 180 ÷ 18 inch bracelet
= 10 bracelets

ANSWER: She can make 10 bracelets.

Hope this helps! :)

4 0

3 years ago

Identify the quadratic function from the four functions

Alchen [17]

Quadratic Function is a function that takes the equation form of:

$\large \boxed{y = a {x}^{2} + bx + c}$

where a ≠ 0. However the form of Quadratic Function above can also be called "standard form" or general form because it is commonly used when defining the function. Quadratic Functions also have other two forms which are intercept form and vertex form.

Vertex Form

$\large \boxed{y = a {(x - h)}^{2} + k}$

Intercept Form

$\large \boxed{y = (ax - b)(bx - c)}$

The intercept form can be expressed as y = (x-a)(x-b) depending on the other perspective.

If you look at all four functions, you will notice that only two of functions have the second degree as highest degree while the third function has third degree as highest and fourth function has fourth degree. Recall the definition of Quadratic Function above that the highest degree of Quadratic Function can only be second degree (squared, x² as example). Therefore we can rule out the x³ and -2x⁴ away.

So our only quadratic functions are:

$\large{ \begin{cases}y = - {x}^{2} - 4 \\ y = {(x - 1)}^{2} - 7 \end{cases}}$

As for the f(x) = -x²-4. The equation is in standard form which is y = ax²+bx+c. The second equation is in vertex form which is y = a(x-h)²+k.

Answer

The only quadratic functions are f(x) = -x²-4 and f(x) = (x-1)²-7
-x²-4 is in standard form.
(x-1)²-7 is in vertex form.

Hope this helps and let me know if you have any doubts.

Also let me know if you want me to convert the function into other form. For ex. convert the vertex form to standard form.

Happy Learning and Good Luck with your assignment!

4 0

3 years ago

What is the least common denominator of 5/6 and 3/8?

VARVARA [1.3K]

Answer:

Step-by-step explanation:

5/6 and 3/8 LCD is 24

8 0

3 years ago

While shopping for clothes Tracy spent $38 less than three times what Daniel spent right and solve an equation to find how much

Gnom [1K]

Answer:

y=3x-38

Step-by-step explanation:

We know that Tracy spent $38 in less than 3 times than what Daniel spent. Given this information we can put our eqaution together.

Y=3x-38

Hope this helps! :)

6 0

4 years ago