Answers
Answer:
-1 < x ≤ 3
Step-by-step explanation:
First, we need to simplify this inequality.
9 > -5x + 4 ≥ -11 (Given)
5 > -5x ≥ -15 (Subtract 4 on both sides)
-1 < x ≤ 3 (Divide -5 on both sides)
Note that the signs flip due to dividing by a negative number.
Answer:
[tex]-1<x\leq3[/tex]
Step-by-step explanation:
Let's take two equations from this and them put them back together! So:
9>-5x+4
and
[tex]-5x+4\geq -11[/tex]
For the first one:
9>-5x+4
Subtract 4 from both sides
5>-5x
Then divide by -5 (Remember to change the direction of the sign!):
-1<x
Now onto the second one:
[tex]-5x+4\geq -11[/tex]
Subtract 4 from both sides:a
[tex]-5x\geq -15[/tex]
Then divide by -5 (Remember to change the direction of the sign!):
[tex]x\leq 3[/tex]
Now add the equations back together:
[tex]-1<x\leq3[/tex]
Related Questions
Copy the expressions which are polynomials. Give reasons why the remaining are
not polynomials.
a)3x-2
b)p^2+1/p
c3y^2-2y/3+1
Answers
Answer: a and c are polynomials, b is not.
Step-by-step explanation:
A polynomial p(x) is written as:
p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰
where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.
Notice that the powers need to be always natural numbers.
Now, let's analyze the options:
a) 3*x - 2
We can rewrite this as:
3*x¹ - 2*x⁰
Then this is a polynomial.
b) p² + 1/p (in this case the variable is p)
the second term can be written as:
1/p = p⁻¹
Then we have a term with a negative power of p, this means that this is not a polynomial.
c) 3*y² - 2*y/3 + 1
Same as in the first case, we can rewrite this as:
3*y² - (2/3)*y¹ + 1*y⁰
This is a polynomial.
If Alberto's bill is $45.47 with tax. And he wants to leave a 20% tip. How much tip will he leave? * round to the nearest dollar.
Answers
Answer:
i tried but all i got was like 80 percent
Step-by-step explanation:
Explanation:
45.57 x 0.20 = 9.094
You have to make the percent into a decimal by moving it to the front by two places
So 30% would be 0.30
5% would be 0.05 and so on
John and his friend ordered lunch at a local sandwich shop. They each ordered a soft drink that costs $1.65. John orders a whole ham sandwich and his friend ordered half of a ham sandwich. Their total bill is $12.54. What equation can you use to find the cost c of a sandwich, and what is the value of c
Answers
Answer:
a. $12.54 = $ 1.65 + c/2 + c b. $ 7.26
Step-by-step explanation:
a. What equation can you use to find the cost c of a sandwich
Let c be the cost of a whole ham sandwich. Now, the total bill = cost of drinks + cost of half a ham sandwich + cost of a whole ham sandwich.
total bill = $ 12.54, cost of drinks = $ 1.65, cost of half a ham sandwich = c/2 and cost of a whole ham sandwich = c. So,
$12.54 = $ 1.65 + c/2 + c
b. What is the value of c
We then solve for c in the equation $12.54 = $ 1.65 + c/2 + c
collecting like terms, we have
$12.54 - $ 1.65 = c/2 + c
$ 10.89 = 3c/2
multiplying through by 2, we have
$ 10.89 × 2 = 3c
$ 21.78 = 3c
dividing through by 3, we have
c = $ 21.78/3
= $ 7.26
Use the Distributive Property to expand this expression.
z(–6.4 – 3.5x)
Answers
Answer:
[tex]z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx[/tex]
Hence, Option 'C' is true.
Step-by-step explanation:
Given the expression
[tex]z\left(-6.4\:-3.5x\right)[/tex]
Apply distributive law: [tex]a\left(b-c\right)=ab-ac[/tex]
Here: [tex]a=z,\:b=-6.4,\:c=3.5x[/tex]
so the expression becomes
[tex]z\left(-6.4\:-3.5x\right)=z\left(-6.4\right)-z\cdot \:\:3.5x[/tex]
[tex]=-6.4z-3.5zx[/tex] ∵ [tex]+\left(-a\right)=-a[/tex]
Therefore,
[tex]z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx[/tex]
Hence, option 'C' is true.
7
2
2 2 3
8
0
58
9
3 7
10
0
Answers
Answer:
Wut...?
Step-by-step explanation:
Given: angle 1 and angle 2 are complementary , angle 2 = 74 degrees Prove: angle 2 = 16 degrees
Answers
Answer:
I'm guessing the angle 1 is supposed to be 74 degrees and not angle 2?
Step-by-step explanation:
Either way. Complementary angles always have a sum of 90°. 74+16=90 so it checks out
Help plssss plsss???????
Answers
1 2 ÷ 3 2 1 ÷3 need help lol
Answers
Answer:
0.012461059
Step-by-step explanation:
Answer:
g00gle says 0.01246105919
Step-by-step explanation:
Can someone please help? I need to get this doe so I can do something important
Answers
Answer:
9. 4/1 or 4. 10. 0
Step-by-step explanation:
9.
Slope- y2-y1/x2-x1
11-7/4-3= 4/1 or 4
10.
Slope-y2-y1/x2-x1
7-7/5-0= 0/5
When 0 is the numerator of the slope, then the slope is 0.
Which of the following is an improper integral?
A) the integral from 0 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
B) the integral from 1 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
C) the integral from negative 1 to 0 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
D) None of these
Answers
Answer:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
General Formulas and Concepts:
Calculus
Discontinuities
Removable (Hole) Jump Infinite (Asymptote)Integration
IntegralsDefinite IntegralsIntegration Constant CImproper IntegralsStep-by-step explanation:
Let's define our answer choices:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
B) [tex]\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx[/tex]
C) [tex]\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx[/tex]
D) None of these
We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.
Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.
∴ our answer is A.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Set up a proportion to solve for x.
A 18
B) 9
C) 4.2
D) 3
HELPP
Answers
Explanation:
6x3=18
Then find the square root of 18
=4.2
HELP!!!!! 50 POINTS!!
Graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7)
Use the Polygon tool to graph the quadrilateral by connecting all its vertices.
(Picture in file below)
Answers
The manager of an accounting department wants to form a two
person advisory committee from the 18 employees in the department. In how many ways can the manager do this? Pls show work.
Answers
Answer: 153
Step-by-step explanation:
When we have a group of N elements, the total number of combinations of K elements ( K ≤ N) is:
[tex]C (N, K) = \frac{N!}{(N-k)!*K!}[/tex]
Where N! = N*(N - 1)*(N - 2)*...*2*1
In this case, we have a group of 18 people (then N = 18) and we want to see how many different combinations of 2 we can make (K = 2).
Using the above equation we get:
[tex]C(18, 2) = \frac{18!}{(18 - 2)!*2!} = \frac{18!}{16!*2!} = \frac{18*17}{2} = 9*17 = 153[/tex]
There are 153 different ways in which the manager can do this.
Erica is a police officer. She earns $24 an hour. Sometimes she works extra shifts and earns time and a half for each hour she works over 40. Erica is paid biweekly. Last week she worked 44 hours and this week she worked 52 hours. Calculate Erica's Gross Pay
Answers
Answer:
Gross pay = $2496
Step-by-step explanation:
Erica earns $24 an hour. She works extra shifts and earns time and a half for each hour.
Her extra earning starts over 40 hours.
Therefore, her extra earning above 40 hours = 1.5 × 24
= $36 per hour
She worked for 44 hours in last week, her total earnings for last week
= (40 × $24) + (4 × $36)
= 960 + 144
= $1104
She worked for 52 hours this week, her total earnings for this week
= (40 × $24) + (12 × $36)
= 960 + 432
= $1392
Since, Erica was paid biweekly,
Her gross income = $1104 + $1392
= $2496
If you layered 100000 cubes to make one big cube what would the dimensions of the big cube
Answers
Answer:
The dimensions of the cube would be:
Base: 46,42 units approx.Height: 46,42 units approx.Width: 46,42 units approx.Step-by-step explanation:
For this exercise, I suppose the measure of each cube is 1 unit, because there no says what is (you can replace it for ft, in, or another unit you need). How the big cube is formed by the 100.000 cubes smaller, and how a cube has its three measures equal: base, height, and width, you only need to obtain the cubic root of the total cubes (you use cubic root because you're gonna calculate a cube, for example, if you'd wanna calculate a square, you must obtain the square root of the total cubes):
[tex]\sqrt[3]{100.000} = 46,41588834[/tex]How each cube measure is 1 unit, when you calculate the volume of the cube with the value obtained, you must obtain the total of the cubes:
Volume of the cube= base * height * width Volume of the cube= 46,41588834 * 46,41588834 * 46,41588834 Volume of the cube= 100.000In this form, you know the answer 46,41588834 is the right answer. I use the number with just two decimals (46,42 approximately) but you can use the complete number if you need.
what is the measure of a given that b measures 100????
Answers
Step-by-step explanation:
Angle at Center = 2 * Angle at Circumference
Therefore B = 2A.
When B = 100°, A = 100°/2 = 50° (B),
When A = 48°, B = 2(48°) = 96°. (C)
HELP NOW URGENT PLEASE!!
Last month you spent $30 on clothing. This month you spent 140% of what you spent last month. How much did you spend this month?
Answers
Answer:
42
Step-by-step explanation:
Answer: you spent 63
Step-by-step explanation:
Seems easy but this has my brain hurting.
Answers
Answer:
E and D
Step-by-step explanation:
Just make a mental line which these letters connect to each other.
How can you diffrentiate "less" and "less than"? Can these terms be used in mathematics? How?
Answers
mathematics. Example would be Bob and 100 apples but Emily has 15 apples
less than Bob, how many apples in total?
Which weighs less 1 oz of sugar or 1 lbs of sugar.
where as
less than means this number is of lower value than that of the other number. for example 3 is less than 6
The ordered pair (3,9) is a solution to the following system of equations.
y = x + 6
y = 2x + 3
A) True
B) False
Answers
Dana's car averages 28 miles per gallon of gas, and it currently contains 1 gallon of gas. If
Dana adds $10.00 worth of gas, sold for $2.50 per gallon, how many miles can he expect to
drive before running out of gas?
Answers
Question: Dana's car averages 28 miles per gallon of gas, and it currently contains 1 gallon of gas. If Dana adds $10.00 worth of gas, sold for $2.50 per gallon, how many miles can he expect to drive before running out of gas?
Answer:
140 miles
Step-by-step explanation:
10/2.5=44 gallons + 1 gallon= 5 gallons28 miles per gallon28*5 or 28+28+28+28+28=140
Fill the empty slots by dragging tiles from the left to show the Solve the two-step equation and identify the steps.
next step for solving the equation.
Solve the two-step equation and identify the steps. 2= -7/4+1/4x
1.______ 7/4 to both sides.
2.______ by 4
The solution is X =_____
Answers
Answer: 1. Add 2. Multiple both sides 3. 15
Step-by-step explanation: hope this helps
Answer: 2 = − 7
4
+ 1
4
x
1.
✔ Add
Start Fraction 7 over 4 End Fraction to both sides.
2.
✔ Multiply both sides
by 4.
The solution is x =
✔ 15
.
Step-by-step explanation: i just did it on ed
Rewrite the inequality with zero on one side and one rational expression on teh other. 3/x+2+4>3 what is the first step
Answers
Answer:
Add –3 to both sides
Step-by-step explanation:
edge 2021
solve for x and find m∠FGH
Answers
Answer:
x° = 11°
Z FGI = 60°
Step-by-step explanation:
If GH bisects Z FGI
then Z FGH = Z HGI
or, (3x - 3)° = (4x - 14)°
or, 3x° - 4x° = - 14° + 3°
or, x° = 11°
Z FGI = 33° - 3° + 44° - 14°
= 60°
Which are characteristics of the graph of the function f(x) = (x + 1)2 + 2? Check all that apply
Answers
Answer:
A. the domain is all real numbers. and
B.the y-intercept is 3
what is 15^4/15 simplified?
Answers
Answer:
15^3
Step-by-step explanation:
Since 15^4 means 15 x 15 x 15 x 15, therefore, just subtract the power 4 from one because you are dividing it by 15:
15^4 / 15 = 15^3
I NEED HELP ASAP!!! I'LL GIVE BRAINLIEST TO CORRECT ANSWER!!!
A.) SU = 22 cm
B.) SU > 22 cm
C.) There is not enough information to determine the relative length.
D.) SU < 22 cm
Answers
hope this helps!
Answer:
SU < 22 cm
Step-by-step explanation:
Stacy spent £20 on ingredients for bread.
She made 18 loaves and sold them for £1.40 each.
Calculate her percentage profit.
Answers
Answer:
Stacy made £25.2 from the 18 loaves of bread. So She made £5.20 as a profit.
Step-by-step explanation:
18 loaves of bread × £1.4 = £25.2 Round it up = £25
£25.20 - £20 = £5.20 Round it up = £5
Stacy Made about £5 as profit.
The length of Dwight's garde is 12.5 meters. Dwight measured it but made a measurement error of 6%. Find the lowest and highest measurement Dwight could have made. Show your work.
Answers
Given :
The length of Dwight's garden is 12.5 meters.
Dwight measured it but made a measurement error of 6%.
To Find :
The lowest and highest measurement Dwight could have made.
Solution :
Error in length measuring is :
[tex]\Delta \ l = 12.5\times 0.06 \\\\\Delta \ l = 0.75\ m[/tex]
Therefore, the lowest and highest measurement he could have is 12.5 - 0.75 = 11.75 meters and 12.5 + 0.75 = 13.25 meters.
Select the correct answer.
The slope of the function on the left is multiplied by p, and is added to the yIntercept to arrive at the function on the right. Which of the
following are the values for p and q?
A. p = -2 and q = -2
В. p=-2 and q = -4
C. P = 2 and q = -3
D. P = -2 and q = -3
Answers
Answer:
p = -2
q = -3
Step-by-step explanation:
Let us get the equation of the two graphs
General equation form is;
y = mx + b
m is slope and b is the y-intercept
For the first one;
y intercept is 1
So the equation is;
y = mx + 1
The x-intercept is -2
the value of y at the x-intercept is 0
0 = -2m + 1
1 = 2m
m = 1/2
so;
1/2 * p
p/2
q added to y-intercept;
q + 1
Let us get the equation of the second plot
y-intercept is -2
Equation is;
y = mx - 2
We can get slope using x-intercept
x-intercept is -2
0 = -2m - 2
2m = -2
m = -1
So;
p/2 = -1
p = 2 * -1 = -2
For the value of q;
q + 1 = -2
q = -2-1 = -3