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Ghella [55]
3 years ago
14

The difference of two numbers is 596. The smaller of the numbers is 716. What is the other number?

Mathematics
1 answer:
harkovskaia [24]3 years ago
6 0

Answer:

1312

Step-by-step explanation:

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The product of 2 numbers is -24 and their sum is -5. What are the two numbers and why are they the two numbers?
lana [24]

The numbers are (-8, 3) or (3, -8).

Step-by-step explanation:

  • Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.

⇒ a + b = -5 ⇒ b = -5 - a

⇒ a × b = -24 -------- (1)

  • Step 2: Substitute the value of b in eq(1)

⇒ a × (-5 - a) = - 24

⇒ -5a - a² = -24

⇒ a² + 5a - 24 = 0

  • Step 3: Solve the quadratic equation for a.

a = (-5 ± √25 - 4 × 1 × -24)/2

  = (-5 ± √121)/2

  = - 16/2, 6/2 = -8 or 3

  • Step 4: For each value of a, find b.

When a = -8, b = -5 +8 = 3

When a = 3, b = -5 - 3 = -8.

6 0
3 years ago
Solve this equation. Enter your answer in the box.<br> 13(y+7)=3(y−1).
Fofino [41]

★To Solve :

\rm\blue{13(y+7) = 3(y-1)}

⠀⠀⠀⠀⠀

★SOLUTION :

\rm\red\leadsto{13(y+7) = 3(y-1)}

\rm\red\leadsto{13\times{y}+13\times7= 3\times{y}-3\times1}

\rm\red\leadsto{13y+91=3y-3}

\rm\red\leadsto{13y-3y=-3-91}

\rm\red\leadsto{10y=-94}

\rm\red\leadsto{} y =\dfrac{   { \cancel{-94}}^{ \:-45 } }{   { \cancel{10}}^{ \: 5} }

\rm\red\leadsto{y=}\dfrac{-47}{5}

____________________

5 0
3 years ago
Read 2 more answers
Is the function f(x) =(4)^x -2 an exponential function. If so, identify the base. If not, why not?
Ne4ueva [31]

Answer:

Yes.

Base: 4

Step-by-step explanation:

Since we have 4 to the power of x, we do indeed have an exponent. The -2 just signifies vertical movement down.

7 0
3 years ago
What is the slope of-x²+8x+20​
PIT_PIT [208]
Is that the right equation?
5 0
3 years ago
Norah has $50,000 to invest. She is considering two investment options. Option A pays 1.5% simple interest. Option B pays 1.4% i
NikAS [45]

Answer:

<u>Option A</u>

5 years: $53,750

10 years: $57,500

20 years: $65,000

<u>Option B</u>

5 years: $53,599

10 years: $57,458

20 years: $66,028

6 0
3 years ago
Read 2 more answers
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