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anzhelika [568]
2 years ago
7

The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is true?

Mathematics
1 answer:
tankabanditka [31]2 years ago
6 0

Answer:

x² + x = 42

Step-by-step explanation:

Let the number be x then the square of this number is x²

Sum and equate to 42, that is

x² + x = 42

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(2A)<br> Find f(2x + 4) for f(x) = 1 - x2
Aleksandr-060686 [28]

Answer:

f(2x + 4) = -4x² - 16x - 15

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients
  • Expanding (FOIL)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 1 - x²

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em> [Function f(x)]:                                                                          f(2x + 4) = 1 - (2x + 4)²
  2. Expand [FOIL]:                                                                                                  f(2x + 4) = 1 - (4x² + 16x + 16)
  3. (Parenthesis) Distribute negative:                                                                   f(2x + 4) = 1 - 4x² - 16x - 16
  4. Combine like terms:                                                                                          f(2x + 4) = -4x² -16x - 15
8 0
2 years ago
John is making baked goods for a party. He can either make muffins or bread, and he can use blueberries, bananas, apples, or cho
Margarita [4]

The total number of possible choices that John had for making baked goods for the party is 8.

<h3>What is Combination?</h3>

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

^nC_r = \dfrac{n!}{r!(n-r)!}

where,

n is the number of choices available,

r is the choices to be made.

We know that the number of choices with John for his baked goods is only two which are muffins or bread, therefore, the choices of the baked good can be written as ^2C_1.

Also, the number of choices with John for flavors is four which are blueberries, bananas, apples, or chocolate chips, therefore, the choices of the flavor can be written as ^4C_1.

Now, the total possible choices that John had

= The choices of the baked good x The choices of the flavor

=\ ^2C_1 \times ^4C_1\\\\=\ 8

Hence, the total number of possible choices that John had for making baked goods for the party is 8.

Learn more about Combination:

brainly.com/question/11732255

8 0
2 years ago
of the pets in the pet show 5/6 are cats.4/5 of the calico cats what fraction of the pets are calico cats
Bond [772]
The answer is 0.664 because you have to divide 4/5 and 5/6
3 0
3 years ago
Is 216 more than 30% of 720​
Natali [406]

Answer:

No, it is equal

Step-by-step explanation:

30% of 720 is 216.

5 0
3 years ago
Read 2 more answers
Jason sells magazine subscriptions. The function f(n) = 2.5n + 75 models the amount of money that Jason earns each day, where n
Leviafan [203]

Answer:

A.)\ No,\ Jason\ was\ \$20\ under\ his\ goal

Step-by-step explanation:

Per\ day\ earning\ of\ Jason=2.5n+75\ \ \ \ \ \ \ \ where\ n\ is\ number\ of\ subscriptions\ Jason\ sells\\\\On\ a\ particular\ day\ Jason\ sold\ 42\ subscriptions\\\\\Rightarrow n=42\\\\Earning\ on\ that\ particular\ day=2.5\times 42+75\\\\Earning\ on\ that\ particular\ day=105+75\\\\Earning\ on\ that\ particular\ day=\$180\\\\180Correct\ option\ is\ A.\ No,\ Jason\ was\ \$20\ under\ his\ goal

7 0
3 years ago
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