answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MaRussiya
2 months ago
15

Complete the equivalent equation for -7x-60 =x^2 +10x

Mathematics
1 answer:
Zina [12.3K]2 months ago
6 0

Answer:

(x+12)(x+5)

Step-by-step explanation:

Using the formula: a²+bx+c

  • Set one side to zero:

Original equation:

-7x-60 =x² +10x

Rearranged:

x² + 17x + 60

  • Multiply A by C

Result:

(1)x x 60 = 60

  • Identify factors of 60 that sum up to 17.

Outcomes:

10 × 6, 60 × 1, 20 × 3, 5 × 12, 4 × 15

Choosing 5 and 12 yields 60, with a sum of 17.

  • Substitute 5 and 12 for 17

Updated:

x² + 5x + 12x + 60

  • Separate into two expressions

Updated:

x² + 5x  l  12x + 60

  • Factor each expression. Ensure ( ext{ }) have identical values within.

Final result:

x(x + 5)  l  +12(x+5)

  • Final answer: (x+12)(x+5)

You might be interested in
A machine makes a box in 1 3/10 secs. How many boxes can the machine make in a hour? Please show work
AnnZ [12381]
The total is 4 boxes, as you don't count the.6 since it's not a complete box.
5 0
1 month ago
At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are
Zina [12379]

Answer:

Yes, the cost y in dollars and the quantity of yogurt x are indeed proportional.

The relationship can be expressed as: y=0.08x


Step-by-step explanation:

1. If y varies directly with x, it can be represented as:

y=kx

Here, k represents the constant of proportionality.

2. We'll calculate the proportionality constant. Given that y=2.56 and x=32, we have:

y=kx\\k=\frac{y}{x}\\k=\frac{2.56}{32}\\k=0.08

3. Thus, the equation becomes:

y=0.08x

4. Now, we need to verify proportionality. Substituting x=6, which is the quantity of yogurt purchased by Jonah, we should arrive at $0.48:

y=0.08(6)\\y=0.48

5. They are indeed directly proportional.

6 0
2 months ago
Read 2 more answers
. The ABC Ink Company is a small family owned company that sells packages of ink cartridge refills for smartpens. The Xavier set
Inessa [12570]
In order to utilize the leftover stock properly, the company must package the Zena's product, committing to include one of Xavier's product in each bundle. The Xavier set consists of one blue and one black ink refill, while the Yvonne set comprises two blue, three black, and one red ink refill, whereas the Zena set contains four blue, five black, and one red ink refill. The company has 11 blue, 14 black, and 3 red ink cartridge refills available. Thus, forming equations based on existing inventory would yield the required quantities for optimal packaging without any leftover supplies.
6 0
1 month ago
The value of y at x=-1in the equation 5y=2 is
Zina [12379]

Answer: y = 2/5 --> y = 0.4

Step-by-step explanation:

The equation 5y = 2 represents a horizontal line at y = 2/5.

This means that the y-coordinate holds the value of 2/5 = 0.4 for any x-coordinate.

7 0
3 months ago
Mr. Carandang sold a total of 1,790 prints of one of his drawings. Out of all 1,273 unframed prints that he sold, 152 were small
tester [12383]
The unidentified quantity is the framed prints (517)
4 0
2 months ago
Read 2 more answers
Other questions:
  • A rectangle has area 64 m2. Express the perimeter of the rectangle as a function of the length L of one of its sides. State the
    8·1 answer
  • The area of the surface of the swimming pool is 210 square feet. What is the length d of the deep end in feet
    11·1 answer
  • If m<9=97° and m<12=114°, find each measure. I have to show my work.
    10·1 answer
  • Given: WXYZ is a rhombus. If 1 = 25°, then 2 = <br> a. 25<br> b. 50 <br> c. 6
    8·2 answers
  • One factor of mc018-1.jpg is (x + 7). What are all the roots of the function? Use the Remainder Theorem.
    15·2 answers
  • Find a parametrization, using cos(t) and sin(t), of the following curve: The intersection of the plane y= 5 with the sphere
    11·1 answer
  • Jessica records the number of winners at the Dunk-a-Teacher booth at the town fair as shown in the table. If there are 750 conte
    6·2 answers
  • Suppose you were exploring the hypothesis that there is a relationship between parents’ and children’s party identification. Wou
    7·1 answer
  • A simple random sample (SRS) of 100 of a certain popular car in 1997 found that 20 had a certain minor defect in the brakes. An
    13·1 answer
  • Here is a scale drawing of a window frame that uses a scale of 1 cm to 6 inches.Create another scale drawing of the window frame
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!