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Anit [1.1K]
3 years ago
8

The product of two positive numbers is 48. the larger number is 13 more than the smaller. Find both numbers [Only an algebraic s

olution will be accepted.]
Mathematics
1 answer:
Valentin [98]3 years ago
5 0

Answer:

Larger number:

16

Smaller number

3

Step-by-step explanation:

Larger number: 16

Smaller number: 3

Explanation:

Suppose the larger number is

a

and the smaller number is

b

.

You solve the following system of equations:

a⋅b=48

a−13=b

Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48

a 2−13a=48

a2−13a−48=0

Factor the polynomial:

(a−16)(a+3)=0

a=16 or a=−3a is positive so a=16.

We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.

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Find the value of 7x^2+2x when x=3
frozen [14]

Answer:

69

Step-by-step explanation:

so x2 will give you 9 times 7 which is 63. add it to 2 times 3 which is 63 + 6 will give you 69.

8 0
2 years ago
Evaluate <br> f(x)=5x-3<br> f(5) =
Kaylis [27]

f(x)=5x-3

use the substitution method

f(5)=(5)(5)-3

multiply the parentheses first

using: PEDMAS

P=Parentheses

E= Exponents

D=Division

M=Multiplication

A= Addition

S=Subtraction

(5)(5)=25

25-3

=22

answer:

f(5)=22

5 0
3 years ago
"given a sum and a product, find two integers x and y, where x + y === sum,"
noname [10]
What’s the question?
8 0
3 years ago
Mr. Duval bought 21 calculators for his classroom. The total cost was
Olenka [21]

Answer:

$6.75 each

Step-by-step explanation:

141.75 decided by the 21 calculators gets a grand total of $6.75 each

7 0
3 years ago
Solve the equation
Vera_Pavlovna [14]

Answer:

All real numbers; the simplification is described below.

Step-by-step explanation:

5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13

Let's keep in mind PEMDAS (the order of operations) to simplify and solve this. First, we'll distribute inside each set of parenthesis!

5(-3x) + 5(-2) -1(x) -1(-3) = -4(4x) -4(5) + 13

See how we've taken the outer term on the outside of the parenthesis and multiplied it to each term inside the parenthesis. Simplify further.

-15x - 10 - x + 3 = -16x - 20 + 13

Now we can combine like terms! I will bold the terms I am combining.

-15x - 10 - x + 3 = -16x - 20 + 13 (combining the x terms on the left)

-16x - 10 + 3 = -16x - 20 + 13 (combining the constants on both sides)

-16x - 7 = -16x - 7

Aha! It looks like we have an equation that's literally equal to itself. If we were to simplify this, or put in any number, we'd get that number equals itself. For example:

-16(1) - 7 = -16(1) - 7

-16 - 7 = -16 - 7

-21 = -21

Any number you put in here will make the equation true, so these lines must be the same line. That means the solution is all real numbers.

5 0
3 years ago
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