Mathematics College

WHat is the solution of x^2 + x-6 / x-7 < 0

WHat Is The Solution Of X^2 + X-6 / X-7 &lt; 0

Answers

Answer 1

Answer:

x≤-3 or 2≤x∠7

Step-by-step explanation:

It would be the first answer on the paper

Answer 2

Answer:

A

Step-by-step explanation:

[tex]\frac{x^2+x-6}{x-7} \leq 0\\[/tex]

hence numerator and denominator are of opposite sign.

case1 .

let x²+x-6≥ 0

and x-7<0

x²+x≥6

x²+x+1/4≥6+1/4

(x+1/2)²≥25/4

(x+1/2)²≥(5/2)²

|x+1/2|≥5/2

x+1/2≥5/2

x≥5/2-1/2

x≥2

or

x+1/2≤-5/2

x≤-5/2-1/2

x≤-3

also x-7<0

x<7

combining

x≤-3 or 2≤x<7

case 2.

x²+x-6<0

and x-7≥0

x²+x<6

x²+x+1/4<6+1/4

(x+1/2)²<25/4

|x+1/2|<5/2

so -5/2 <x+1/2<5/2

-5/2-1/2<x<5/2-1/2

-3<x<2

also x-7≥0

so x≥7

combining

we get no vlaue satisfying both the values.

Hence rejected.

Related Questions

The volume of the cube shown below is 1000 cm". What is the length side, x of the cube in centimeters?
resnanse)

Answers

Answer: x = 10

Step-by-step explanation:

The formula to find the volume of a cube is as following:

V = x³

Since we already know the volume, let's substitute it in the formula.

1000 = x³

To find x, we should do the cube root on each side.

∛1000 = ∛x³

x = 10

5 3/4 as an improper fraction

Answers

Answer:

23/4

Step-by-step explanation:

Answer:

A mixed number is an addition of its whole and fractional parts.

[tex]5 \frac{3}{4} [/tex]

Add:

[tex]5 \: and \: \frac{3}{4} [/tex]

To write 5 as a fraction with a common denominator, multiply by

[tex] \frac{4}{4} [/tex]

Combine:

[tex]5 \: and \: \frac{4}{4} [/tex]

Combine the numerators over the common denominator.

[tex] \frac{5.4 + 3}{4} [/tex]

Simplify the numerator.

Multiply 5 by 4.

Add 20 and 3.

[tex] \frac{23}{4} [/tex]

Step-by-step explanation:

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Answers

Answer:

25 ft^2

Step-by-step explanation:

In direct variation, if y varies directly with x, then the equation has the form

y = kx,

where k is the constant of proportionality. y is proportional to x.

Let's call the area y and the distance x.

Here, the area varies with the square of the distance, so the equation has the form

y = kx^2

Here, y is proportional to the square of x.

We can find the value of k by using the given information.

y = kx^2

When x = 20 ft, y = 16 ft^2.

16 = k(20^2)

k = 16/400

k = 1/25

The equation of the relation is:

y = (1/25)x^2

Now we use the equation we found to answer the question.

What is y (the area) when x (the distance) is 25 ft?

y = (1/25)x^2

y = (1/25)(25^2)

y = 25

Answer: 25 ft^2


Which of these statements is true?

Answers

Answer:

3rd one

because they r right angles and congruent to each other and for right angle its is used HS postulate

You save $3,260.00 in a savings account earning a 3.55% APR compounded monthly. How much is the total interest earned by the end of the third month?

A)$21.02

B)$28.59

C)$27.01

D)$23.56

Answers

Answer:

I think it would be this

Step-by-step explanation:

3,032,644 dollars left over. I am very sorry if I am wrong.

Click on the graph to draw a trapezoid with right angles at (0, -7) and (8,−7), another vertex at (8,0), and a vertical base of 16 units

Answers

Answer: (0, -7) (8, -7) (8, 0) (0, 9) (0, -7)

Step-by-step explanation: It already tells you three of the coordinates. From plotting those, just create a vertical line from (0, -7) up that is equal to 16 and connect that coordinate with (8, 0).

Does this graph represent a proportional relationship?
giving brainlist for correct

Answers

Answer:

No

Step-by-step explanation:

because it doesn't pass through the origin.

lily cleaned the coin fountain at the mall and found 20 coins consisting of nickels and quarters. Her collection totaled $2.60 . How many quarters did she find

Answers

Answer:

10

Step-by-step explanation:

eight quarters in $2.00, 2 quarters in .50 cents = 10 quarters.

In a recipe, for every tablespoon of sugar there are four teaspoons of salt. If a batch uses twelve tablespoons of sugar, how many teaspoons of salt does it use?

Answers

4*12= 48
The answer is 48

how to multiply 21 x 25 in oldschool way

Answers

use a calculator i don't know

The formula E =1/2 kx^2gives the potential energy E of a spring with spring constant k that has
been stretched by length x. Solve the formula fork to find the constant of a spring with a iven
potential energy and stretch.

Answers

Answer:

[tex]k = 2E/x^2[/tex]

Step-by-step explanation:

Given formula:

[tex]E = 1/2kx^2[/tex]

To solve for k, multiply both sides by 2 and divide by x²:

[tex]2E=kx^2[/tex][tex]k = 2E/x^2[/tex]

Answer:

[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]

Step-by-step explanation:

The formula given is :

[tex]\sf\longmapsto \: E = \frac{1}{2} kx²[/tex]

Now, multiply (×) both sides by 2 and divide (÷) by x^2

[tex]\sf\longmapsto \: 2E = kx²[/tex]

[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]

I need the answer for this

Answers

Answer:

it is either f or h

12(x-2×4-2x-5)
Solve...
​

Answers

Answer:

=−12x−156

Step-by-step explanation:

=(12)(x+−8+−2x+−5)

=(12)(x)+(12)(−8)+(12)(−2x)+(12)(−5)

=12x−96−24x−60

=−12x−156

Step-by-step explanation:

= 12(x - 8 -2x - 5)

= 12(-x - 13)

= -12x - 156

please give me a brainliest answer

I need help, please. ​

Answers

[tex]p = 2(l + w) = 2.(15 + 12) = 54 cm[/tex]

Giải giúp mình với ạ

Answers

Answer:

answer is b

Step-by-step explanation:

Also need help with this question 4 x −5 =

Answers

Answer:

the equation is not completed

Answer:

-20

Step-by-step explanation:

Multiply 4x5 which is 20 but since 5 is negative then it's -20

Mikael has a loan of $40 000.
He pays 1.6% simple interest for six months
How much interest does he pay altogether?

Answers

Step-by-step explanation:

Based on the given conditions,

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12Reduce the fraction: \dfrac{2 \times 40000}{125}

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12Reduce the fraction: \dfrac{2 \times 40000}{125}[/tex]

[tex]Reduce the fraction: 2 \times320

[tex]Reduce the fraction: 2 \times320Calculate the product orquotient: 640[tex]

Answer 640

Answer:

[tex]\sf\longmapsto \: 640[/tex]

Step-by-step explanation:

Based on given cases:

[tex] \sf \: Formulate: 1.6\% \times 40000 \times 12 \div 12[/tex]

Reduce the fraction:

[tex] \sf \longmapsto \: \dfrac{2 \times 40000}{125}[/tex]

[tex] \sf \longmapsto \: 320 \times 2[/tex]

Calculate the product/quotient:

[tex] \sf\longmapsto \: 640[/tex]

Hi i need help with this

Answers

Answer:

2 (n + 2) = 2n + 4

n + n + n + n = 4n

2 (3n) = 6n

4n + n = 5n

Step-by-step explanation:

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2 * (n+2) -> 2n + 4

MARK "BRAINLIEST" FOR MORE HELPFUL CONTENT!

n + n + n + n -> 4n

MARK "BRAINLIEST" FOR MORE HELPFUL CONTENT!

2 * (3n) -> 6n

MARK "BRAINLIEST" FOR MORE HELPFUL CONTENT!

4n + n -> 5n

MARK "BRAINLIEST" FOR MORE HELPFUL CONTENT!

Students were asked to find an equivalent value of the expression 13 divided by 19/100 which could a student use?

Answers

Answer:

68.4210526316

you first divide 19/100 and then you divide the out put 13/ 0.19

Step-by-step explanation:

(-2x+8y-11)+(-3y-y+5)

Answers

Answer:

-6

Step-by-step explanation:

tbh I just used a calculator

Answer:

-2x + 4y - 6

Step-by-step explanation:

Our equation is this:

-2x + 8y - 11 - 3y - y + 5

Now, combine like terms:

-2x + 4y - 6

This equation is the most simplified it can be.

Hope this helps :)

The product of the Roots of the quadratic equation 2x² + 5x - 7 = 0 is​​

Answers

short ans :
Product = c/a = -7/2

long ans :
(2x + 7)(x-1) = 0
x = -7/2
x = 1
product = -7/2 • 1 = -7/2
Here a=2b=5c=-7

Product of roots

[tex]\\ \sf \longmapsto \dfrac{c}{a}[/tex]

[tex]\\ \sf \longmapsto \dfrac{-7}{2}[/tex]

Adrian and his children went into a restaurant where they sell hotdogs for $3 each
and hamburgers for $8 each. Adrian has $80 to spend and must buy no less than 12
hotdogs and hamburgers altogether. If x represents the number of hotdogs
purchased and y represents the number of hamburgers purchased, write and solve a
system of inequalities graphically and determine one possible solution.

need both inequalities and how many hotdogs and burgers he can buy

Answers

Answer: 16x + 4y= 80

16 (3) + 4 (8) = 80

Can someone help answering my questions in English and Math

Answers

Answer:

yo

Step-by-step explanation:

what is the value of x when y is 31

Answers

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Direct variation

y = kx

16 = k*8

Divide each side by 8

16/8 = 8k/8

2 = k

The equation is y =2x

y =2x

Let y =32

32 = 2x

Divide by 2

32/2 = x

16 =x

50!
4! 46!

How do I solve this? I learned it yesterday

Answers

Answer: 50! = 3.0414093e+64.       4!= 24.     46!=5.5026222e+57

simplify the expression. Please help me ​

Answers

Answer:

The answer is 19

Step-by-step explanation:

I forgot how I figured it out but I did

rounding 615×38 to 1 significant figure estimate ​

Answers

Answer:

24,000

Step-by-step explanation:

615 ≈ 600

38 ≈ 40

600 × 40 = 24,000

Therefore, 615 × 38 ≈ 24,000

What is the solution to the following equation? Please help!

Answers

Answer :

D

Step By Step Explanation :

calculate the loan and interest to be paid back if a man borrows 150,000 Naira for 10 years at 5% simple interest
​

Answers

Answer:

41550

Step-by-step explanation:

What is the relationship for angle 1 and angle 8

Answers

Answer:

Step-by-step explanation:

In this cofiguration, there are 8 angles. 4 equal one value and 4 are their supplements of the first 4.

6 and 80 and 2 and 3 are all equal to 80 degrees.

1 4 5 and 8 are the supplements. So whatever their value, they are all equal to the same thing. <1 = <8

They are supplementary to the 80 degree angle

<1 + 80 = 180             Subtract 80 from both sides

<1 = 180 - 80

<1 = 100

So angle 1 and <8 both equal 100 degrees.

Answer:

Alternate exterior angles.

Step-by-step explanation:

Alternate exterior angles are angles on opposing sides of the transversal and the outside of the parallel lines. Moreover, they are congruent. Therefore, ∠1 ≅ ∠8.

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