Solve the inequality: x + 5 < 7 x < 3 , x > -2. , x > 12. , x < 2

Answers

Answer 1

Answer:

  (d)  x < 2

Step-by-step explanation:

Subtract 5 from both sides of the inequality, the same way you would if it were an equation.

  x +5 < 7 . . . . . . given

  x +5 -5 < 7 -5 . . . . . show subtraction of 5

  x < 2 . . . . . the solution


Related Questions

a college student is saving money to buy a laptop. the student has $85 saved and saves $35 each week. The function a(t)=35t + 85 represents the amount of money the college student has saved for the laptop after t weeks. The student receives $50 as a birthday gift .
If the function f(t) = a(t) +50 represents the total amount the student has saved , which best describes the transformation from a(t) to f(t)?

Answers

Answer:

B a vertical translation 50units right

Jersey Mike’s is offering $0.80 off its foot-long sub sandwiches. If this represents a 20% markdown, what is the sub’s regular selling price?

Answers

The subs will be $4 at regular price
The subs will be $4 at regular price

13. A stack of lumber contains the following: three 1" x 6" X 8' pieces of yellow pine. six 2" x 10" x 12' pieces of redwood. six 1" x 8" 10' pieces of fir. How many total board feet of lumber are in this stack? *


180 board ft

162 board ft

192 board ft

172 board ft

Answers

Answer:

Step-by-step explanation:

A board foot is 1 inch thick by 1 ft by 1 ft

(3) 1 x 6  8'  are already 1 inch thick ½ ft wide and 8 ft long

  3 x 1 x (6/12) x 8 = 12 board ft.

(6) 2" x 10" x 12'  are 2 thick x 10/12 ft wide by 12 ft long

  6 x 2 x (10/12) x 12 = 120 board ft.

(6)  1" x 8" x 10'

  6 x 1 x (8/12) x 10 = 40 board ft

12 + 120 + 40 = 172 board ft

What is 6 3/4 percent of 800

Answers

Answer:

answer is 746.

have a nice day and do good in math

Select the equation which represents the equation solved for y.

−20x+5y=35


y=4x+7

y=−4x+7

y=−4x−7

y=4x−7

Answers

The first equation because-20x goes to the other side and u divide 5 on both sides and when you simplify it gives you that

Differential Equation

Answers

1. The given equation is probably supposed to read

y'' - 2y' - 3y = 64x exp(-x)

First consider the homogeneous equation,

y'' - 2y' - 3y = 0

which has characteristic equation

r² - 2r - 3 = (r - 3) (r + 1) = 0

with roots r = 3 and r = -1. Then the characteristic solution is

[tex]y = C_1 e^{3x} + C_2 e^{-x}[/tex]

and we let y₁ = exp(3x) and y₂ = exp(-x), our fundamental solutions.

Now we use variation of parameters, which gives a particular solution of the form

[tex]y_p = u_1y_1 + u_2y_2[/tex]

where

[tex]\displaystyle u_1 = -\int \frac{64xe^{-x}y_2}{W(y_1,y_2)} \, dx[/tex]

[tex]\displaystyle u_2 = \int \frac{64xe^{-x}y_1}{W(y_1,y_2)} \, dx[/tex]

and W(y₁, y₂) is the Wronskian determinant of the two fundamental solutions. This is

[tex]W(y_1,y_2) = \begin{vmatrix}e^{3x} & e^{-x} \\ (e^{3x})' & (e^{-x})'\end{vmatrix} = \begin{vmatrix}e^{3x} & e^{-x} \\ 3e^{3x} & -e^{-x}\end{vmatrix} = -e^{2x} - 3e^{2x} = -4e^{2x}[/tex]

Then we find

[tex]\displaystyle u_1 = -\int \frac{64xe^{-x} \cdot e^{-x}}{-4e^{2x}} \, dx = 16 \int xe^{-4x} \, dx = -(4x + 1) e^{-4x}[/tex]

[tex]\displaystyle u_2 = \int \frac{64xe^{-x} \cdot e^{3x}}{-4e^{2x}} \, dx = -16 \int x \, dx = -8x^2[/tex]

so it follows that the particular solution is

[tex]y_p = -(4x+1)e^{-4x} \cdot e^{3x} - 8x^2\cdot e^{-x} = -(8x^2+4x+1)e^{-x}[/tex]

and so the general solution is

[tex]\boxed{y(x) = C_1 e^{3x} + C_2e^{-x} - (8x^2+4x+1) e^{-x}}[/tex]

2. I'll again assume there's typo in the equation, and that it should read

y''' - 6y'' + 11y' - 6y = 2x exp(-x)

Again, we consider the homogeneous equation,

y''' - 6y'' + 11y' - 6y = 0

and observe that the characteristic polynomial,

r³ - 6r² + 11r - 6

has coefficients that sum to 1 - 6 + 11 - 6 = 0, which immediately tells us that r = 1 is a root. Polynomial division and subsequent factoring yields

r³ - 6r² + 11r - 6 = (r - 1) (r² - 5r + 6) = (r - 1) (r - 2) (r - 3)

and from this we see the characteristic solution is

[tex]y_c = C_1 e^x + C_2 e^{2x} + C_3 e^{3x}[/tex]

For the particular solution, I'll use undetermined coefficients. We look for a solution of the form

[tex]y_p = (ax+b)e^{-x}[/tex]

whose first three derivatives are

[tex]{y_p}' = ae^{-x} - (ax+b)e^{-x} = (-ax+a-b)e^{-x}[/tex]

[tex]{y_p}'' = -ae^{-x} - (-ax+a-b)e^{-x} = (ax-2a+b)e^{-x}[/tex]

[tex]{y_p}''' = ae^{-x} - (ax-2a+b)e^{-x} = (-ax+3a-b)e^{-x}[/tex]

Substituting these into the equation gives

[tex](-ax+3a-b)e^{-x} - 6(ax-2a+b)e^{-x} + 11(-ax+a-b)e^{-x} - 6(ax+b)e^{-x} = 2xe^{-x}[/tex]

[tex](-ax+3a-b) - 6(ax-2a+b) + 11(-ax+a-b) - 6(ax+b) = 2x[/tex]

[tex]-24ax+26a-24b = 2x[/tex]

It follows that -24a = 2 and 26a - 24b = 0, so that a = -1/12 = -12/144 and b = -13/144, so the particular solution is

[tex]y_p = -\dfrac{12x+13}{144}e^{-x}[/tex]

and the general solution is

[tex]\boxed{y = C_1 e^x + C_2 e^{2x} + C_3 e^{3x} - \dfrac{12x+13}{144} e^{-x}}[/tex]


Problem example: For the given sequence: -2,2,6,10,14,18
Write a recursive formula to find the nth term: a = an-1+4
Write a explicit formula to find the nth term: a = -2 + 4(n-1)
What is the 64th term in the sequence?

Answers

Answer:

250

Step-by-step explanation:

You can take the explicit formula and simply substitute the n value with 64:

-2 + 4 * (64 - 1)

-2 + 4 * (63)

-2 + 252

250

click on the link i need help

Answers

Answer:

Uuuuh thats kind of suspicious, maybe you could post your question without  a link? But links are usually scams, so dont do that :)

Help help help help help help help help help help help

Answers

Answer:

Step-by-step explanation:

A' = (2 + 3, 1 + 2) = (5, 3)

B' = (-1 + 3, -3 + 2) = (2, -1)

C' = (3 + 3, -3 + 2) = (6, -1)

15 mm
4. You are decorating the Red Cross logo
shown for a float in a parade.
a) The Red Cross logo consists of 5 congruent
squares. Find the area of the Red Cross logo.
+
b) You estimate that on average a red carnation
will cover 2 square inches and a red rose will cover
3 square inches. How many roses do you need to
cover the logo on the float?
36 in
c) You are on a budget. Carnations cost $1.00 and
roses cost $1.50. Should you cover the logo with
carnations or roses? Justify your answer.

Answers

Does it have to be a certain length

Will be giving brainliest! Have a good day and you’ll get through it !

Answers

Answer:

ok you to !!!!!!!!! good night!!

Step-by-step explanation:


HELLOPPPPPPPPPPPPPPPP

Answers

Answer:

Hello!

Judging by the link you provided I have come up with the correct solution:

x= 61°

y= 29°

Step-by-step explanation:

I will link my work below:

The first step to finding the two solutions it to first identify one of them.

I chose to identify x first.

To identify the value of x in this problem you have to notice that the x value corresponds with the value "29°" to form a perfect right angle, being 90°.

Thus you can simply find the value of x by doing this formula:

x+29°=90°

You then subtract 29° from both sides to simplify, and you come up with the solution

x=61°

Now we need to find the value of y.

To find the value of y I noticed that again, like x, y corresponds with another variable (being x) to form a perfect right angle (90°).

The way I realized this is a perfect right angle is because, as you can see in the picture you provided, the y+x angle are alternate exterior angles with another angle that is 90°.

Thus you can assume that:

x+y=90°

x= 61°

61°+y=90°

You then subtract 61° from both sides to get:

y=29°

Plot the point (6, 0) on the coordinate plane.

Answers

Answer:

Just go to the 6 on the bottom line, and add a point

Answer:

see below

Step-by-step explanation:

(6,0)

 The first coordinate is the x coordinate.  Since it is positive we go to the right 6 units.  The second coordinate is the y coordinate.  We go up zero units

8x + 1/3 = 2/3 what is the answer?

Answers

Answer:

1/24

Step-by-step explanation:

8x + 1/3 = 2/3

    - 1/3   - 1/3

8x = 1/3

8x/8 = (1/3)/8

x = 1/24

The holding period of property acquired by gift may begin on:

A. The date the property was acquired by the donor only.
B. The date of the gift only.
C. Either the date the property was acquired by the donor or the date of the gift.
D. The last day of the tax year in which the property was originally acquired by the donor.

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is C. Either the date the property was acquired by the donor or the date of the gift.

Step-by-step explanation:

The donor's holding time is included in the holding period connected with the gain basis rule. The loss basis rule's holding period begins on the day of the donation.

essential skills test ,The cost of a haircut is $23. How much do 3 haircuts cost?

Answers

Answer:

$69 is correct

hope this helps

Answer: $69

Step-by-step explanation:

multiply 23 and 3

help plsssssssssssss

Answers

Answer:

with what

Step-by-step explanation:

Answer:

help with? there's nothing there

Select all the correct answers.
Which statements are true about function g?

Answers

Answer:

i need the question

Step-by-step explanation:


Simplify the expression 4(x-5) / 2
a. 8x - 40
b. 2x -
C. 5x - 20
d. 2x - 10
HELP PLZZZZZZ

Answers

If you simplify it, you get 2x-10 or D

Answer:8x-40

Step-by-step explanation:

Because when we simply 4(x-5)/2

We multiply both sides by 2 because the inverse operations of division is multiplication. 2*4(x-5)*2/2 we cancel two by two then it leave us 4*2(x-5).

Next four times two is eight. So 8(x-5) we distribe eight that means eight times x and 5, 8x-40thos is the answer. Hope this help

Is this a function or not a function?

Answers

Answer:

This is indeed a function

Jeanne is twice as old as her brother Mark. If the sum of their ages is 24, how old is Jeanne?

Answers

Jeanne is 16 years old


8 is half of 16, and 8 + 16 is 24

1 32 multiplied by 0.32 when rounded to the nearest hundredths

Answers

Answer:

42.20

Step-by-step explanation:

132 ×0.32

=42.24

rounded off it give 42.20

Is ( - 1, 2) a solution of the system y > x and x + y > 0?
O No, because ( - 1, 2) is a solution to only one of these inequalities.
O Yes, because ( – 1, 2) is a solution to both inequalities.
O Yes, because ( - 1, 2) is the point of intersection of the two boundary lines of this system.
No, because ( – 1, 2) is not a solution to either inequality.

Answers

Answer:

Yes, because (-1,2) is a solution to both inequalities

Step-by-step explanation:

2>-1 so the first inequality is correct

-1+2>0 so the second inequality is correct

1/7 divided by blank equals 14

Answers

Answer:

1/98

Step-by-step explanation:

Step 1: Translate statement into equation.

[tex]\frac{1}{7}/x = 14[/tex] [tex]\frac{1}{7x}=14[/tex]

Step 2: Multiply both sides by 7x.

[tex]\frac{1}{7x} * 7x = 14 * 7x[/tex] [tex]1 = 98x[/tex]

Step 3: Divide both sides by 98.

[tex]\frac{1}{98} =\frac{98x}{98}[/tex] [tex]x = \frac{1}{98}[/tex]

Step 4: Check if solution is correct.

[tex]\frac{1}{7}/\frac{1}{98}[/tex] [tex]\frac{1}{7}*98[/tex] [tex]14[/tex]

Therefore, the answer is 1/98.

Help help math please please

Answers

Answer:

x = 42

Step-by-step explanation:

2x + 8 + 2x + 4 = 180

4x + 12 = 180

4x = 168

x = 42

I don’t know but I really need answers I don’t know but I really need

Gene has a gasoline budget of $275 per month. He uses an average of $6 of gasoline each day he drives. Which of the following equations represents how much money is left in his gasoline budget after x days of driving?
A. y=275-6x
B. y=275+6x
C. y=6x-275
D. y=275x-6

Answers

Answer:

d because your taking away 6 from the 275

Step-by-step explanation:

Find the product. Simplify your answer.
(m+2)(3m+2)

Answers

there you go the answer is in the picture

3m^2+2m+6m+4
3m^2+8m+4

Select all ratios equivalent to 5:3.
13:9
9:15
20:12

Answers

Answer:

20:12

brainlest if it helped

Step-by-step explanation:

Answer:

20:12

Step-by-step explanation:

if you multiply 5:3 by 4, they'll end up with 20:12.

Answer the following questions,
0
(a) What number is 95% of 80
0
(b) 85% of what is 51?

Answers

Answer:

95% of 80 is 76 and 85% of 60 is 51.

Step-by-step explanation:

Answer:

a. 76,  b. 60.

Step-by-step explanation:

a)  80 * 0.95 = 76.

b)   0.85 x = 51

x = 51/0.85 = 60.

If h(x)=5x+7, then h(x) has a zero at which of the following values?
(1) -5
(2) 7
(3) -1.4

Answers

Answer:

Step-by-step explanation:

0 = 5x + 7

-7 = 5x

x = - 7/5 = -1.4

Answer:

-1.4

Step-by-step explanation:

h(x)=0=5x+7

or, 5x= -7

x= -7/5= -1.4

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