1answer.
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
ANTONII [103]
3 years ago
15

One number is 9 less than the other. Find the two numbers if their product is 736.

Mathematics
1 answer:
Alika [10]3 years ago
6 0
x-first\ number\\x-9-second\ number\\\\x(x-9)=736\\x^2-9x-736=0\\\\\Delta=b^2-4ac\\\\\Delta=(-9)^2-4\cdot(-736)\cdot1=81+2944=3025\\\\\sqrt\Delta=55\\\\x_1=\frac{-b-\sqrt{\Delta}}{2a}\ \ x_1=\frac{9-55}{2*1}=\frac{-46}{2}=-23
\\\\ or \\
x_2=\frac{-b+\sqrt{\Delta}}{2a}\ \ x_2=\frac{9+55}{2*1}=\frac{64}{2}=32\\\\x_1\ is\ negative\ number\ so\ it\ can't\ be\ one\ of\ them\\\\32-9=23\\\\Searched\ number\ are\ 32\ and\ 23

You might be interested in
A group of 18 people ordered soup and sandwiches for lunch. Each person in the group either ordered one soup or one sandwich . T
kkurt [141]
Let's say a = number of ordered soups, b = number of ordered sandwiches.

Then 4.5a + 7.75b = 113.50, and a and b are integers between 0 and 18 inclusive.

How do we tackle this? If all ordered soup, the cost would be $81, so we'll have at least 4 sandwiches. If all ordered sandwich, the cost would be $139.5, so at most 15 sandwiches were ordered. You also know an even number of sandwiches was ordered, to let the price end at 50 cent.

If you brute-force from 4,6,8,10,12 to 14 sandwiches, you find the answer at 10 sandwiches and 8 soups.

10*7.75 + 8*4.50 = 113.50


8 0
3 years ago
Match each system of equations to its solution represented by an augmented matrix.
SCORPION-xisa [38]

Answer:

Step-by-step explanation:

7 0
2 years ago
Someone please help me quick!
Inessa [10]
Can you explain the question in words please?
5 0
3 years ago
10. Sarah is planning to fence in her backyard garden. One side of the garden is 34 feet long, another side is 30 feet long, and
KATRIN_1 [288]

Answer:

131ft is the amount of fencing material needed

Step-by-step explanation:

Perimeter is the distance around a shape: we have to sum all the distances

P = d1 + d2 + d3

P = 34 ft + 30 ft + 67 ft = 131 ft

5 0
3 years ago
Read 2 more answers
ANSWER ASAP GIVING BRAILIEST AND STUFF!
natita [175]

Answer:

24s^2, 54s^2, 96s^2

Step-by-step explanation:

Let s represent the initial side length of the cube.  Then the area of each face of the cube is A = 6s^2 (recalling that the area of a square of side length s is s^2).

a) Now suppose we double the side length.  The total area of the 6 faces of the cube will now be A = 6(2s)^2, or 24s^2 (a 24 times larger surface area),

b) tripled:  A = 6(3s)^2 = 54x^2

c) quadrupled?  A = 6(4s)^2 = 96s^2

6 0
2 years ago
Other questions:
  • The length of a rectangle is 30 inches and the
    15·2 answers
  • The ratio of the perimeter of square RSTU to the perimeter of square WXYZ is 1 to 3. The area of square RSTU is 36 square inches
    12·2 answers
  • Alex is baking cookies and the recipe calls for 3 cups 6 oz of milk. If he decides to double the recipe, how much milk will he n
    10·2 answers
  • The price of jeans was reduced $7 per week for 4 weeks. By how much did the price of the jeans change
    5·1 answer
  • Graph the inequality X+2y>6
    6·1 answer
  • What is the unit rate of four pounds of apples that cost $1.96
    14·2 answers
  • What can you break down 29 into
    12·2 answers
  • Photo above! I'm confused
    10·1 answer
  • Revel and Scooters are the best scooter experience in the Nation which is the best scooter rental service in the nation? Create
    9·1 answer
  • 10<br> B<br> с<br> 63°<br> 9<br> А<br> D<br> What is m D?<br> m2D =
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!