[tex]x { }^{2} < x + 2[/tex]
interval notation​

Answer:

5-16= -11

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

5+?=-11

move the equation around..

-11-5=?

-11-5=-16

you can move the equation around again to be sure..

5+(-16)=-11

yes it does

HAVE A GREAT DAY (:

Answer:

Step-by-step explanation:

x^4+6x^2-27=0

The two factors you need to use for 27 is 9 and 3.

Since the middle term must be plus then the 9 is also plus.

(x^2 + 9)(x^2 - 3)

x^2  + 9 can't be factored in the real number system.

x^2 - 3 = 0

(x + sqrt(3))(x^2 - sqrt(3))

The full factoring answer would be

(x^2+9)(x + sqrt(3))(x^2 - sqrt(3))

☽------------❀-------------☾

Hi there!

~

The absolute value is the distance from 0 to 2.5. In this case the absolute value from 0 to |2.5| is 2.5

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

The answer is 24 pounds

Step-by-step explanation:

Tripling is another way of saying multiplying by 3, so when you multiply 8 and 3...you get 24

Answer:

198

Step-by-step explanation:

270/15 gives us 18, his miles per gallon. multiply that by 11, and you get 198.

Answer:

x = 3

y = 2

Step-by-step explanation:

Answer:

[tex]14^{2}[/tex] [tex]or 196[/tex]

Step-by-step explanation:

[tex]14^{6}[/tex] ÷ [tex]14^{4}[/tex]

all you have to do it subtract

[tex]14^{6} - 14^{4}[/tex]

=

[tex]14^{2}[/tex]

which is equivalent as 196.

to solve [tex]14^{2}[/tex], it's just

14 × 14 = 196

1       2

Answer:

13

Step-by-step explanation:

Applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.

An isosceles trapezoid has two congruent legs and two diagonals that are congruent.

Given:

Thus:

SD = LG

Substitute

8x - 5 = 6x + 21

Combine like terms and find x

8x - 6x = 5 + 21

2x = 26

x = 26/2

x = 13

Thus, applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.

Learn more about isosceles trapezoid on:

https://brainly.com/question/10187910

Answer:

she ate 2 ice creams per hour

Step-by-step explanation:

Answer:

The rate of change of the function at x = 0.6 is approximately -0.72

Step-by-step explanation:

The given information from the graph are;

Points (0, 0) and (1, -0.5)

We have that the graph is that of a cubic function, therefore;

f(x) = ax³ + bx² + cx + d

At f'(x) at  (0, 0) and (1, -0.5) = 0 gives;

3ax² + 2bx + c = 0

∴ c = 0

Also

ax³ + bx² + cx + d = 0

d = 0

We have

3a(1)² + 2b(1) + 0 = 0

3·a + 2·b = 0..............(1)

a(1)³ + b(1)² + c(1) + d = -0.5

a + b + 0×(1) + 0 = -0.5

a + b = -0.5..........(2)

Multiplying equation (2) by 2 and subtracting it from equation (1) gives;

2 × (a + b = -0.5) = 2·a + 2·b = -1

3·a + 2·b - (2·a + 2·b) = 0 - (-1) = 0 + 1 = 1

a = 1

From

a + b = -0.5, we have;

1 + b = -0.5 = 0

b = -0.5 - 1 = -1.5

The equation becomes

f(x) = x³ - 1.5·x²

The rate of change of the function at x = 0.6 is therefore given as follows;

f'(x) = 3 × x² - 2 × (1.5)·x = 3·x² - 3·x

At x = 0.6, we have;

f'(0.6) = 3·(0.6)² - 3·(0.6)

f'(0.6) = 3×0.6² - 3×0.6 = -0.72

The rate of change of the function at x = 0.6 ≈ -0.72

x = 6

3x = 18

18/3 = 6

x = 6

Answer:

d

Step-by-step explanation:

on edg

Answer:

27.7

Step-by-step explanation:

For this problem, we will simply use standard rounding conventions to round the number to the nearest tenth.

If the number after the target, the hundreths place in this case, is between 0 and 4, we won't change the tenths place.  If the number is between 5 and 9, we will increment the tenths place by one.

So for our number, 27.68, 8 is between 5 and 9 so we will increment the tenths place by one for the round.

Hence, our rounded answer for the nearest tenth is 27.7.

Cheers.

Answer:

f^-1(x)-(x/10)-(1/5).

Hope this helps!

Step-by-step explanation:

(See picture for explanation!)

Answer:

Seven days

Step-by-step explanation:

From the information given, you know that you drink in a day 1.25 cups of the tea in the morning morning and 1.5 cups of the tea in the evening which is equal to:

1.25+1.5=2.75 cups a day

Now that you know the amount of cups that you drink in a day, you can divide  the amount of cups in the pitcher by the amount of cups you drink in a day:

19.25/2.75= 7

According to this, the answer is that you will run out of iced tea after seven days.

Answer:

[tex]y=\frac{3}{2}x-\frac{15}{2}[/tex]

Step-by-step explanation:

Use the point-slope formula [tex]y-y_{1}=m(x-x_{1})[/tex]

First you have to find m with the formula [tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

[tex]m = \frac{9 - 6}{11 - 9} = \frac{3}{2}[/tex]

Choose whichever point you want as [tex](x_{1}, y_{1})[/tex], in this case I'll choose [tex](9, 6)[/tex]

[tex]y - y_{1} = m(x - x_{1})\\y - 6 = \frac{3}{2} (x - 9)\\y - 6 = \frac{3}{2}x - \frac{27}{2} \\y = \frac{3}{2}x - \frac{27}{2} + 6\\y = \frac{3}{2}x - \frac{15}{2}[/tex]

Answer:

[tex]\displaystyle r=\frac{3t}{t-1}[/tex]

Step-by-step explanation:

We are given the formula:

[tex]\displaystyle t=\frac{r}{r-3}[/tex]

And we are asked to make r the subject of the formula.

We can multiply both sides by r - 3. This reduces the denominator on the right-hand side:  

[tex]t(r-3)=r[/tex]

Distribute:

[tex]rt-3t=r[/tex]

Subtracting rt from both sides yields:

[tex]-3t=r-rt[/tex]

Factoring:

[tex]-3t=r(1-t)[/tex]

Divide and simplify:

[tex]\displaystyle \begin{aligned} r & = \frac{-3t}{1-t} \\ \\ & = \frac{3t}{t-1}\end{aligned}[/tex]

In conclusion:

[tex]\displaystyle r=\frac{3t}{t-1}[/tex]

Answer: -4, -1, 0, 3

Answer:

15m/s^2

Step-by-step explanation:

u=5m/s

v=80m/s

a=?

t=5sec

now

a=v-u/t

a =80-5/5

a=75/5

a =15 ans

Answer:

  2 1/2 rolls

Step-by-step explanation:

rolls : walls = (1/2) : (1/10) = ? : (1/2) = 5/2 : 1/2 (multiply by 5, since 1/2 = 5/10)

It takes 5/2 rolls = 2 1/2 rolls to cover half the wall.

Answer:

[tex]2\frac{1}{2}[/tex] rolls of the wallpaper will cover half the wall

The correct option is (b) 2 1/2

Step-by-step explanation:

To determine the number of rolls of wallpaper that are needed to cover half (1/2) the wall,

From the question,

One-half of a roll of wallpaper covers 1/10th of a wall.

Hence, we are to determine the number of rolls of wallpaper that are needed to cover 5/10th of the wall. (NOTE: 5/10th of the wall = 1/2 the wall)

Now,

First, we will find the part of the wall that will be covered by one roll of the wallpaper

If one-half of the roll of wallpaper covers 1/10th of the wall.

Then, one roll (two halves) will cover 2 × 1/10th of the wall

= 1/5th of the wall

Hence one roll will cover 1/5th of the wall

Now, for the number of rolls that will cover half (1/2) the wall

If one roll of the wallpaper covers 1/5th of the wall

Then, [tex]x[/tex] rolls of the wallpaper will cover 1/2 of the wall

[tex]x =\frac{1/2 \times 1}{1/5}[/tex]

[tex]x =\frac{5}{2}[/tex]

[tex]x =2\frac{1}{2}[/tex]

Hence, [tex]2\frac{1}{2}[/tex] rolls of the wallpaper will cover half the wall

Answer:

2(2W+12) < 560

Step-by-step explanation:

Perimeter of a rectangular dog pen P = 2(L+W) where;

L is the length of the dog pen

W is the width of the dog pen

If Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width, then L = W+12

If Lyle can afford no more than 560 feet of fence, this means that the perimeter cannot be more than 560feet i.e P<560

The inequality to show that the perimeter of the dog pen can be no more than 560 feet is expressed as P < 2(L+W)

Substituting the given parameters;

2([W+12]+W)<560

2(2W+12)<560

Hence the inequality to show that the perimeter of the dog pen can be no more than 560 feet is 2(2W+12)<560

I done it

I attached it

Answer:

60 square unit

Step-by-step explanation:

side = √225.2 = 15

perimeter = side x 4

perimeter = 15 x 4 = 60 square unit

Answer:

It’s 4

Step-by-step explanation:

Answer:

Rs. 32.77

Step-by-step explanation:

----------

Finding cost price:

If cost = x:

SP at a loss of 17%:

Answer:

$2.33

Step-by-step explanation:

To find how much strawberries cost per pint, we would divide the seven dollars by 3 which will tell us how much each pint costs. Hope this helps, have a great day!

First, let's find the slope.

Slope = (7 - (-3)) / (2 - 0) = (7 + 3) / 2 = 10 / 2 = 5

So far our equation looks like: y = 5x + b

Leta plug one of the points into our equation to find b.

-3 = 5(0) + b

Simplify.

-3 = b

The equation is: y = 5x - 3

Answer choice B is correct.