Answer:
see attached
Step-by-step explanation:
In general, you plot the solution to an inequality by placing a dot at the bound, then extending a line in the direction indicated by the inequality.
If the inequality symbol is < or >, the dot will be an open circle.
If the inequality symbol is ≤ or ≥, the dot will be a solid dot. That is the kind of dot needed here.
The boundary (dot) location for x ≥ -8 is at -8 on the number line. The inequality indicates that values of x greater than that are in the solution set, so the line will be shaded to the right of the dot.
The boundary (dot) location for x ≤ -2 is at -2 on the number line. The inequality indicates that values of x less than that are in the solution set, so the line will be shaded to the left of this dot.
Since the values of x must satisfy both inequalities (the conjunction is "and"), the solution set is where the lines overlap—between -8 and -2 on the number line.
_____
Additional comment
I find it useful to write inequalities with the "arrow" pointing to the left. Here, the inequalities would be written ...
-8 ≤ x and x ≤ -2
Note that x is in the middle when the far left number is less than the far right number. (-8 < -2). That means, the inequality can be written as the compound ...
-8 ≤ x ≤ -2
When the inequalities are written in this way, with arrow(s) pointing left, the location of the variable relative to the constant is the location of the shaded line relative to the dot representing the constant. Here, the appearance of ...
-8 ≤ x ≤ -2
effectively shows you that the number line is shaded between solid dots at -8 and -2.
Graph the line that has a slope of 4/3 and contains the point (0,-4)?
Please I need help fast
Answer:
It's attached
Step-by-step explanation:
y=4/3x-4
is the equation for the line
So you just plot the line.
The equation for the given slope and point is y = 4x/3 - 4
What is slope?The slope of a line is a number that describes both the direction and the steepness of the line.
Given that, a line that has a slope of 4/3 and contains the point (0,-4)
The slope intercept of a line is y = mx+c, where m is slope,
Here, m = 4/3, x = 0 and y = -4
Finding for c,
-4 = 4/3x0+c
c = -4
Establishing the equation,
y = 4x/3-4
Now plotting the graph,
(Attached)
Hence, the graph will pass through the points (3,0) and (0,-4)
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Somebody please help me with this
Answer 1.2 angles
and 203 left cm
Which expression is equivalent to -8(10x – 3)?
A) -80x + 24
B) -80x - 24
C) - 80x - 3
D) -80x + 3
Answer:
-8(10x-3) = -80x+24 = A
Step-by-step explanation:
yr welcome
Q.
5! = ?
________________
Example :
4! = 4 × 3 × 2 × 1 = 24
Answer:
5!=5*4*3*2*1=120
Step-by-step explanation:
n!=(n)(n-1)(n-2)...(3)(2)(1)
5!=5×4×3×2×1
=20×3×2×1
=60×2×1
=120×1
=120
W/5+20=22. How do I do this
Answer:
W = 10
Step-by-step explanation:
W / 5 + 20 = 22
W / 5 - 20 = 22 - 20
W / 5 = 2
W * 5 = 2 * 5
W = 10
Step-by-step explanation:
[tex] \frac{w}{5} + 20 = 22 \\ \\ \frac{w}{5 } = 22 - 20 \\ \\ \frac{w}{5} = 2 \\ \\ w = 5 \times 2 \\ \\ w = 10[/tex]
LAST ATTEMPT MARKING AS BRAINLIEST!! ( write a rule to describe each transformation)
Answer:
See below
Step-by-step explanation:
Dilation is 1/2
U (2, 3) U' (1, 1.5)
V (1, -2) V' (0.5, -1)
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Answer:
wat?
Step-by-step explanation:
merry christmas....yey!!
Can you please help me I am stuck on a math problem
Question
6/4 x 9/12=
What is the answer
Answer:
Step-by-step explanation:
Formula
(numerator * numerator ) divided by (denominator * denominator)
Numerator * numerator = 6*9 = 54
Denominator * denominator = 4 * 12 = 48
The answer is 54 / 48 = 9/8 = 1 1/8
Both numerator and denominator can be divided by 6
what does 5/6+1/3 equal
Answer:
5/6 + 1/3 = 7/6
Step-by-step explanation:
x^2+2x+8=0, Find x?aaaaaaa
I need help with this
240 because i am smart and also nice pencil
Step-by-step explanation:
what is the answer
-1/2n^2+18=0
n= ___
Answer:
n = 6 , − 6
Step-by-step explanation:
Take the root of both sides and solve.
[tex]-\cfrac{1}{2}n^2+18=0\implies 18=\cfrac{1}{2}n^2\implies 18=\cfrac{n^2}{2}\implies 36=n^2 \\\\\\ \stackrel{\textit{taking }\sqrt{~~}\textit{ to both sides}}{\pm\sqrt{36}=\sqrt{n^2}}\implies \pm 6 = n[/tex]
Subtract:
(3x^3– 10x^2+ 13x) – (5x^3+ 4x² – 9x)
A. 8x^3 + 14x^2 - 22x
B. 8x^3 - 6x^2 + 4x
C. 2x^3 - 6x^2 - 4x
D. -2x^3 - 14x^2 + 22x
Answer:
D. -2x^3 - 14x^2 + 22x
Step-by-step explanation:
1) Remove parentheses.
3x³ - 10x² + 13x - 5x³ - 4x² + 9x
2) Collect like terms.
(3x³ - 5x³) + (-10x² - 4x²) + (13x + 9x)
3) Simplify.
-2x³ - 14x² + 22x
Helpppp for a math exammm
Answer:
2. angle A is congruent to angle X
Step-by-step explanation:
help me out please ???!!!
The first one lol
..........................
Answer:
√18=√3×3×2=3√2 hope this helps you.
What is the first number in the sequence?
Answer:
Step-by-step explanation:
Let "n" be the first number
n + (n + 2) + (n + 4) + (n + 6) = 36
4n + 12 = 36
4n = 24
n = 6
as "n" itself is even, it qualifies
6 + 8 + 10 + 12 = 36
Elizabeth buys a package of 360 marbles. she gives away 216 of the marbles. what percent of the marbles did Elizabeth give away. SHOW WORK
Answer:
60%
Step-by-step explanation:
216/360 = 0.6
0.6 *100 = 60
60%
The percent of the marbles did Elizabeth give away is 60%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Elizabeth buys a package of 360 marbles and she gives away 216 of the marbles.
Now, the percentage is 216/360 ×100
= 0.6×100
= 60%
Therefore, the percent of the marbles Elizabeth give away is 60%.
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Help help again ..2 more :/ thank you again ..
The backyard of a new home is shaped like a trapezoid with a height of 44 nt and bases of 86ft and 106ft What is the cost of putting sod on the yard, if the
landscaper charges $0.25 por square foot for sod?
Answer:
Step-by-step explanation:
Area of a trapezoid is the average length of the bases times the height
C = A(0.25)
A = ½(86 + 106)(44) = 4224 ft²
C = 4224(0.25) = $1056.00
Find g(-7) for g(t) = 4t^2
Answer:
196
Step-by-step explanation:
Just plug in a -7 for everywhere there is a t:
[tex]g(t)=4t^2\\g(-7)=4(-7)^2\\g(-7)=4*49=196[/tex]
one hundred seventy nine
Carol's Phone Service charges $17.62 for an activation fee plus $3 for every gigabyte (g) used. Which of the following graphs models the situation?
Answer:
a
Step-by-step explanation:
17.62 y intercept
slope 1/3
Use the above balance sheet for the ABC Bank. Assume the reserve ratio is 20 percent. Assuming the bank (single bank) loans out all of its excess reserves, and has a check cleared against it for that amount loaned, its actual reserves and checkable deposits will now be:
Order these numbers from least to greatest.
2.406, 2.46, 2.2061, 2.2
Answer:
2.2, 2.2061, 2.406, and 2.46
The hypotenuse of a 30°-60°-90° triangle is 18. Find the lengths of the other sides.
Answer:
9, 9√3
Step-by-step explanation:
The ratios of sides in a 30°-60°-90° triangle are ...
1 : √3 : 2
The shortest is half the longest. If the longest is 18, the others are 9, 9√3.
What is the equation of the line passing through the point (2, 3) and perpendicular to the line y=2x+7?
Answer:
[tex] -\frac{1}{2}x + 4[/tex]
5x + 3y = 41
2x + 3y = 20
show me step by steps how to do this
Answer:
x=7 and y=2
Step-by-step explanation:
In this case, you want to use elimination
1. multiply the second equation by -1
5x + 3y = 41
2x + 3y = 20
turns into
5x + 3y = 41
-2x + 3y = 20
2. combine the equations
3x=21
3. solve for x
3x=21
3x/3=21/3
x=7
4. Now you want to plug x back into the original equation
5x+3y=41
turns into
5(7)+3y=41
5. Then solve for y
35+3y=41
35+3y-35=41-35
3y=6
3y/3=6/3
y=2
6. results
x=7 and y=2
Pls help will give brainliest
Answer:
247 ft is the correct answer
6(6n+3) distributive property
Answer:
36n + 18
Step-by-step explanation:
6 * 6n = 36n
6 * 3 = 18
36n + 18 = 36n + 18
Answer:
36n+18
Step-by-step explanation:
6(6n+3)
(6×6n)+(6×3)
36n+18
But if you want it simplifed, you can divide both 36n and 18 by 18 and you will be left with 2n+1
how do I do this word problem?
Answer:
5 weeks
Step-by-step explanation:
John deposits $5 per week and has $10, so his equation is 5x + 10.
Jasmine's equation is 3x + 20.
Make them equal to each other and solve for x:
5x + 10 = 3x + 20
Subtract 10 from each side
5x = 3x + 10
Subtract 3x from each side
2x = 10
Divide each side by 2
x = 5
Answer:
5 weeks
Step-by-step explanation:
John:$10,$15,$20,$25,$30,$35
Jasmine:$20,$23,$26,$29,$32,$35
5 weeks
4. Calculate Karl Pearson's Coefficient of Correlation X 43 44 46 40 44 42 45 42 38 40 42 57. Y 29 31 19 18 19 27 27 29 41 30 26 10
Answer:
Enter the following transactions into richard’s checkbook register and state his ending balance: date type description amount 03/01 check #204 blue sky apartments $455. 00 03/05 dep payroll automatic deposit $390. 36 03/08 debit benny’s hamburgers and fries $9. 20 03/15 check #205 car payment $251. 59 03/19 dep payroll automatic deposit $390. 36 a. $715. 79 b. $1,009. 81 c. $780. 72 d. $880. 24.