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
butalik [34]
2 years ago
9

Find the value of a and of b for which(a) the solution of x2 + ax < b is-2<x < 4​

Mathematics
1 answer:
KengaRu [80]2 years ago
3 0

Answer: a = -2

b = 8

Step-by-step explanation:

Given :

x^{2} +ax

re - writing the equation , we have

x^{2} +ax-b

we need to find the value of a and b for which -2<x < 4 , this means that the roots of the quadratic equation are -2<x < 4.

The formula for finding the quadratic equation when the roots are known is :

x^{2} - sum of roots(x) + product of root = 0

sum of roots = -2 + 4 = 2

product of roots = -2 x 4 = -8

substituting into the formula , we have:

x^{2} -2x-8=0 , which could be written in inequality form as

x^{2} -2x-8

comparing with x^{2} +ax-b , it means that :

a = -2

b = 8

You might be interested in
A person invest $8800 in an account at 7% interest compounded annually. When will the value of the investment be 13,200? (Type a
Nitella [24]

Answer:

21.43

Step-by-step explanation:

Turn 7 percent to a decimal: 0.07

8800 × 0.07 = 616

13,200÷616=21.4285 etc

Round two decimal places

21.43

7 0
2 years ago
Word Problems : Subtract 18 rupees 9 paise from 75 rupees 80 paise<br><br>Write In Step by Step ​
AlladinOne [14]

Answer:

Question

Answers

Related Questions

Subtract the following:

A) 18 rupees 9 paise from 75 rupees 80 paise.

B) 49 rupees 79 paise from 123 rupees 68 paise.

Answer

VerifiedVerified

139.5k+ views

17.4k+ likes

Hint: Use decimal concept.

We know that, 1 rupee = 100 paise. We can reframe these questions as follows:

18 rupees 9 paise from 75 rupees 80 paise

18 rupees 9 paise can be represented as 18.09 rupees and 75 rupees 80 paise can be represented as 75.80 rupees. Now, on subtracting we’ll get,

75.80−18.09−−−−−− 57.71

Which means 57 rupees 71 paise

49 rupees 79 paise from 123 rupees 68 paise

49 rupees 79 paise can be represented as 49.79 rupees and 123 rupees 68 paise can be represented as 123.68 rupees. Now, on subtracting we’ll get,

123.68 −49.79−−−−−− 73.89

Which means 73 rupees 89 paise.

Note: We can also perform the subtraction by making all units the same that are paise and then subtract.

5 0
2 years ago
Read 2 more answers
What time is it if half of what has already passed remains until the end of today?
lukranit [14]

Answer:

<h2>4 p.m.</h2>

Step-by-step explanation:

We know that a day contains 24 hours in total.

The time already passed will be represented by x.

The remaining time would be \frac{x}{2}, becasye half of what has already passed remains until the end of the day.

Basically, the sum of these two expression gives 24 hours in total.

x + \frac{x}{2} =24\\\frac{3x}{2}=24\\ x=16

Therefore, the actual time is 4 p.m.

7 0
3 years ago
Is 3x + 2y = 5 direct variation
Elena-2011 [213]

Answer:

What is the constant variation of Y =- 2 3x?

The constant of variation, k , is 23 .

Step-by-step explanation:

When x is zero in a direct variation equation y will also be zero. That means that the y-intercept of all direct variation equations is always zero.

3 0
2 years ago
Find 2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.<br><br> Is -3 the correct answer?
Ket [755]
We're given the algebraic expression 2x^2 - 2z^4 + y^2 - x^2 + z^4

By hypothesis, x = -4, y = 3 and z = 2

Let's replace each letter by its given value:

2x^2 - 2z^4 + y^2 - x^2 + z^4
2(-4)^2 - 2(2)^4 + (3)^2 - (-4)^2 + (2)^4
(2*16) - 2*16 + 9 - 16 + 16
32 - 32 + 9 - 16 + 16
9

So wrong. The correct answer is not -3, but 9.

Hope this helps! :D
6 0
3 years ago
Other questions:
  • Find the square root of the following number correct up to three decimal places a 11 b 6.3 c4.2d124​
    10·1 answer
  • foster is centering a photo that is 3 1/2 inches wide on a scrapbook page that is 12 inches wide. How far from each side of the
    6·1 answer
  • Divide each pair of numbers below.
    13·1 answer
  • Which equation has slope of 1/2 and y intercept of -5
    12·2 answers
  • Estimated the find the product of 416x9=
    12·2 answers
  • Which object weighs about 14 ounces?
    12·2 answers
  • A cognitive psychologist studying reading comprehension wanted to know what would happen if all college students were taught bet
    14·1 answer
  • An aquarium can hold 3744 cubic inches of water. Ben fills the aquarium 9/10 full of water. Water weighs about 0.036 pound per c
    11·1 answer
  • Find the volume of the sphere. Either enter an exact answer in terms of π or use 22/7 for π.
    7·1 answer
  • A business class surveyed college students about the cost (in dollars) of their most recent haircuts. The resulting data is summ
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!