How many integers satisfy the inequality (x 2 – 4)(x 2 – 10) < 0?

Answers

Answer 1

Answer:

2 integers (2 and -2)

Step-by-step explanation:

Given the inequality (x²– 4)(x² – 10) < 0, we are to find the number of integers that satisfies the inequality

From (x²– 4)(x² – 10) < 0, (x²– 4)< 0 and (x² – 10) < 0

For (x²– 4)< 0;

x²<4

take the square root of both sides;

√x²<√4

x < ±2

x<2 and x<-2

Similarly for (x²– 10)< 0;

x²<10

take the square root of both sides;

√x²<±√10

x < ±√10

x<√10 and x<-√10

Note that √10 is not an integer but an irrational number. An integer should be a negative or positive whole number. Therefore the amount of integers that satisfies the equation is 2 i.e 2 and -2

Answer 2

Answer:

B - 2

Step-by-step explanation:

Edg2020


Related Questions

* 14 students did a history test. Here are the results. girls

Answers

Answer:

What does this mean lolzers

Step-by-step explanation:

beef hope me I need you to answer the question. What is n * 54 - 688-20 =???³

Answers

Answer:n= 1/3d - 2/3m

Step-by-step explanation:

d=2m+3n

Step 1: Flip the equation.

2m+3n=d

Step 2: Add -2m to both sides.

2m+3n+−2m=d+−2m

3n=d−2m

Step 3: Divide both sides by 3.

3n/3 = d-2m/3

Therefore

n= 1/3d - 2/3m

Hope this helps!

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Answer:

n = d - 2m

        3*

Step-by-step explanation:

First we want to get n alone on one side, so we should subtract 2m from both side;

d = 2m + 3n

3n = d - 2m

Now to get n by itself, we need to divide by 3 from both sides;

3n = d - 2m

n = d - 2m

        3*

*Pretend there is a fraction bar between d - 2m and 3

Step-by-step explanation:

pls help best answer brainiest

Answers

Answer:

-2

Step-by-step explanation:

1 and 2/3 can also be written as 5/3, therefore you need to do -1/3 - 5/3 which gives you -6/3 which is -2.

-1/3 - 1 2/3 = -2 because -1/3 + -2/3 = -3/3 or -1 so -1 + -1 = -2

(a) An angle measures 83°. What is the measure of its supplement?
(b) An angle measures 65°. What is the measure of its complement?

Answers

supplementary angles add up to 180°, while complementary angles add up to 90°. to find the supplementary angle to 83° just subtract it from 180°.

180 - 83 = 97°

to find the complementary angle, just subtract 65° from 90°.

90 - 65 = 25°

97° is the answer to Part A, and 25° is the answer to Part B. hope this helps!

The area of a rectangle is x 2 – 3x – 28. If the

length is x + 4, find the width.

Answers

Answer:

-4 square units

Step-by-step explanation:

a = l × b

x2 - 3x - 28 = (x +4)(×)

x2 - 3x - 28 = x2 + 4x

-3x - 28 - 4x = 0

-7x - 28 = 0

-7x = 28

x = -4

hello. I hope your day was fine and have some difficulties in the three question I just took a picture of please help me ​

Answers

What do you wanna find in these questions?

(8x-7)+5 when x is 2

Answers

Answer:

If X=2 then the equation would be solved starting with 8x2=16 then take 16 and subtract it by 7 which would equal 9, then you take 9 and add 5 to it and that would give you the answer of 14

Step-by-step explanation:

(8x-7)+5   x=2

(8x2-7)+5

(16-7)+5

9+5

Answer 14

I hope this helps you

A square patio has an area of 203 square feet. How long is each side of the patio to the nearest 0.05?

Answers

Answer:

14.25

Step-by-step explanation:

14.25^2=203

In order to solve this you want to find the sqrt of 203

The sqrt of 203 is 14.247, which rounds up to 14.25

14 mm
10 mm
cubic millimeters

Answers

Answer:

140 cubic millimeters

Step-by-step explanation:

To get the area you multiply 14 by 10.

9.8 < 20 – 9.8t < 20

Answers

Answer:

0 < t < 1.04 or  t ∈ (0, 1.04)

Step-by-step explanation:

Solving in steps:

9.8 < 20 – 9.8t < 20                  9.8 - 20 < -9.8t < 20 - 20         ⇒ subtract 20 from all sides-10.2 < -9.8t < 0                        ⇒ divide all sides by -9.8, this changes  inequality signs to reverse0< t < 10.2/9.80 < t < 1.04 or t ∈ (0, 1.04)

If AB = 8 and BC = 24, then AC =

If AB = 17 and AC = 68, then BC =

Answers

Answer:

(i) The length of AC is 32 units, (ii) The length of BC is 51 units.

Step-by-step explanation:

(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

[tex]AC = AB + BC[/tex]

If we know that [tex]AB = 8[/tex] and [tex]BC = 24[/tex], then:

[tex]AC = 8 + 24[/tex]

[tex]AC = 32[/tex]

The length of AC is 32 units.

(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

[tex]AC = AB + BC[/tex]

[tex]BC = AC - AB[/tex]

If we know that [tex]AC = 68[/tex] and [tex]AB = 17[/tex], then:

[tex]BC = 68-17[/tex]

[tex]BC = 51[/tex]

The length of BC is 51 units.

What is the midpoint of the line segment? Drag the coordinates to the boxes to correctly match the endpoints and midpoint.

Answers

Hey there! I'm happy to help!

LINE SEGMENT 1

To find the x value of the midpoint, you add the x values and divide by 2.

-1/3+4/3=1

1/2=1/2

For the y value, you add the y values and divide by 2.

7/5+5/2= 3 9/10

3 9/10÷2=1 19/20 or 39/20.

So, our midpoint is (1/2, 39/20).

LINE SEGMENT 2

X-Values

5+(-1)=5-1=4

4/2=2

Y-Values

√3+5√3=6√3

6√3÷2=3√3

So, our midpoint is (2, 3√3).

Have a wonderful day! :D

The midpoint of a line segment divides the line segment into 2.

The midpoint of [tex]\mathbf{(-\frac 13, \frac 75)\ and\ (\frac 43, \frac 52)}[/tex] is [tex]\mathbf{(\frac{1}{2}, \frac {39}{20})}[/tex]The midpoint of [tex]\mathbf{(5 \sqrt 3)\ and\ (-1, 5\sqrt 3)}[/tex] is [tex]\mathbf{(2, 3\sqrt 3)}[/tex]

[tex]\mathbf{(a)\ (-\frac 13, \frac 75)\ and\ (\frac 43, \frac 52)}[/tex]

The midpoint is calculated as follows:

[tex]\mathbf{(x,y) = (\frac{-1/3 + 4/3}{2}, \frac {7/5 + 5/2}{2})}[/tex]

[tex]\mathbf{(x,y) = (\frac{3/3}{2}, \frac {39/10}{2})}[/tex]

[tex]\mathbf{(x,y) = (\frac{1}{2}, \frac {39}{20})}[/tex]

Hence, the midpoint of [tex]\mathbf{(-\frac 13, \frac 75)\ and\ (\frac 43, \frac 52)}[/tex] is [tex]\mathbf{(\frac{1}{2}, \frac {39}{20})}[/tex]

[tex]\mathbf{(b)\ (5 \sqrt 3)\ and\ (-1, 5\sqrt 3)}[/tex]

The midpoint is calculated as follows:

[tex]\mathbf{(x,y) = (\frac{5 - 1}{2}, \frac {\sqrt 3 + 5\sqrt 3}{2})}[/tex]

[tex]\mathbf{(x,y) = (\frac{4}{2}, \frac {6\sqrt 3}{2})}[/tex]

[tex]\mathbf{(x,y) = (2, 3\sqrt 3)}[/tex]

Hence, the midpoint of [tex]\mathbf{(5 \sqrt 3)\ and\ (-1, 5\sqrt 3)}[/tex] is [tex]\mathbf{(2, 3\sqrt 3)}[/tex]

Read more about midpoints at:

https://brainly.com/question/13133371

What is the solution to this equation?

−4m+7=−5

Enter your answer in the box.

Answers

Move all terms that don’t contain m to the right side and solve. M = 3

Please it’s due in a hour:/

Answers

Answer:

510 R 20

Step-by-step explanation:

34 x 15 = 510. Which leaves 20 left over

subtract 32 – 15.5
help

Answers

Answer:

16.5

Step-by-step explanation:

32 - 15.5 = 16.5

Answer:

it's 16.5

dyvjftvjchvmxy

Is the following relation a function?
A. Yes
B. No

Answers

No.
Functions are straight lines!

What is the distance between the points (-3,-2) and (-3,6)?
answer : ??????​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8 \: units}}}}}[/tex]

Step-by-step explanation:

Let the points be A and B

Let A ( - 3 , -2 ) be ( x₁ , y₁ ) and B ( -3 , 6 ) be ( x₂ , y₂ )

Finding the distance between these points

[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {( - 3 - ( - 3))}^{2} + {( 6 - ( - 2))}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {( - 3 + 3)}^{2} + {(6 + 2)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {(0)}^{2} + {(8) }^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{0 + 64}}} [/tex]

[tex] \longrightarrow{ \sf{ \sqrt{64}}} [/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {8}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{8 \: \: units}}[/tex]

Hope I helped!

Best regards! :D

If u can answer these please do

Answers

Answer:

1) 8.5x10^8

2) 5.3x10^-3

3) 9.95x10^12

Step-by-step explanation:

Since they have the same exponents, you just add or subtract and leave the rest the same.

1) 8.5x10^8

2) 5.3x10^-3

3) 9.95x10^12

Answer:

1. 850,000,000

2. 53/100 OR 0.0053

3. 9, 950, 000, 000, 000

Step-by-step explanation:

which expression is equivlent to 4(x+2y)

Answers

Answer:

[tex]\huge\boxed{4x+8y}[/tex]

Step-by-step explanation:

In order to find an expression equivalent to [tex]4(x+2y)[/tex], we want to simplify the equation down.

To do this, we can see that we can apply the distributive property on this equation. Basically, we multiply every term in the parentheses by 4.

[tex]4 \cdot x = 4x\\\\4 \cdot 2y = 8y\\\\4x+8y[/tex]

Hope this helped!

Which factor is greater 2/5 or 2/3 how can you tell which fraction is larger (looking for the explanation )

Answers

Answer:2/3

Step-by-step explanation The fractions 2/3 and 2/5 have the same numerator. The denominator 3 in the fraction 2/3 means that the unit has less parts, making the parts larger. Therefore, 2/3 is larger than 2/5 . The larger the denominator the smaller the fraction.

5 18 6 18 13 Mean: 12
Find the absolute deviation for the data

Answers

Answer:5.2

Step-by-step explanation:

I have a MAD calculator

The mean absolute deviation for the given data will be equal to 5.

What is the mean absolute deviation?

The average of the absolute deviations from a central point makes up the average absolute deviation of a data collection. It is a statistical summary of statistical variability or dispersion.

The formula used to calculate MAD is given below:-

[tex]\rm\dfrac{1}{n}\sum|X_i-m|[/tex]

The given data set is 5 18 6 18 and 13. First, calculate the mean of the given data.

Mean = 12

The MAD will be calculated as below:-

MAD = ( 1 / 5 ) [ | ( 5 - 12) | + | ( 18 - 12) | + | ( 6- 12 ) | + | ( 18- 12) | + | ( 12 - 12) |]

MAD = ( 7 + 6 + 6 + 6 ) / 5 = 5

Therefore, the mean absolute deviation for the given data will be equal to 5.

To know more about Mean absolute deviation follow

https://brainly.com/question/447169

#SPJ2

Question 2 of 10
The gross domestic product is
A. a measure of a country's total economic output
B. the total budget deficit of a given country
C. the total budget of a given country
D. a measure of the amount owed to all holders of a country's
securities
SUBMIT

Answers

I’m not sure but I think it’s D maybe I looked it up

2 square root of 3 (square root of 2 plus square root of 3 )

Answers

Answer:

√3+√2 = 3.15

Step-by-step explanation:

because you can't square root those two so it will be a decimal

Please I want a correct answer whoever does it well gets 50 points please to upload in brianly​

Answers

Answer:

Susan is correct. If you divide the unit price (the price of each individual soda) by the number of people, you will get the total cost of the soda. Or in other words, how much money you're putting down to buy this soda for X amount of people. John is incorrect because by dividing the cost of a 12 pack soda by the number of sodas, he is determining the cost of each individual soda, not the total cost.

group of friends are going to see a movie. The admission cost is $8 per person. The table below represents the number of friends and the total cost.

Movie Costs
Number of Friends, (x)
2
3
4
5
Total Cost in Dollars, (y)


Which set of ordered pairs can be written from the table?
(2, 10), (3, 11), (4, 12), (5, 13)
(2, 16), (3, 24), (4, 32), (5, 40)
(10, 2), (11, 3), (12, 4), (13, 5)
(16, 2), (24, 3), (32, 4), (40, 5)
PLEASE IN THE TEST NOW

Answers

Answer:

B) (2, 16), (3, 24), (4, 32), (5, 40)

Step-by-step explanation:

1 ticket costs $8. 8 x 2 = 16, so 2 tickets cost $16. 8 x 3 = 24, so 3 tickets cost $24. The same thing goes for 4 tickets, and 5 tickets.

Answer:

b

Step-by-step explanation:

uwu

2710÷18=

please help​

Answers

Answer:

=150.5555555556

Step-by-step explanation:

calculator

1. 3x-(5x-9)= 7-4(x+1)​

Answers

Answer:

x = - 3

Step-by-step explanation:

3x - (5x - 9) = 7 - 4(x + 1)​

3x - 5x + 9 = 7 - 4x - 4

3x - 5x + 4x = 7 - 4 - 9

2x = - 6

x = - 6 : 2

x = - 3

Find the slope of the line containing the points (-2,-2) and (-4,-2).

Answers

Answer:

B

Step-by-step explanation:

Use the formula ([tex]\frac{y_1-y_2}{x_1-x_2}[/tex])

6x - 2 ( x + 4 )= 12

Answers

Answer:

x = 5

Step-by-step explanation:

the end points of a diameter of a circle are A(3,1) and B(8,13). Find the area of the circle in terms of X

Answers

Answer:

I think it's 4.52.  Only if that's one of the options I guess. Good luck!

Answer:

(25/4)∏   or (6 1/4)∏

Step-by-step explanation:

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