Answer:
Step-by-step explanation:
f(x) = 2x + 5
f(-6)= 2(-6) + 5 = -12 + 5 = -7
Solve the following inequality: 9x+2/3(−7x+6)−1≥2
Answer:
Step-by-step explanation:
3(9x - 14/3x + 4 - 1 ≥ 2)
27x - 14x + 12 - 3 ≥ 6
13x + 9 ≥ 6
13x ≥ -3
x ≥ -3/13
Answer:
x ≥ - [tex]\frac{3}{13}[/tex]
Step-by-step explanation:
Given
9x + [tex]\frac{2}{3}[/tex](- 7x + 6) - 1 ≥ 2
Multiply through by 3 to clear the fraction
27x + 2(- 7x + 6) - 3 ≥ 6 ← distribute and simplify left side
27x - 14x + 12 - 3 ≥ 6
13x + 9 ≥ 6 ( subtract 9 from both sides )
13x ≥ - 3 ( divide both sides by 13 )
x ≥ - [tex]\frac{3}{13}[/tex]
[tex]( \frac{8}{27} ) ^{ \frac{1}{3} } [/tex]
= ?
Answer:
2/3
Step-by-step explanation:
Simplify the following:
(8/27)^(1/3)
Hint: | For all n>=0, (m/n)^(1/3) = (m^(1/3))/(n^(1/3)).
(8/27)^(1/3) = (8^(1/3))/(27^(1/3)):
(8^(1/3))/(27^(1/3))
Hint: | Simplify radicals.
27^(1/3) = (3^3)^(1/3) = 3:
(8^(1/3))/3
Hint: | Simplify radicals.
8^(1/3) = (2^3)^(1/3) = 2:
Answer: 2/3
Solve and graph the following compound inequality. (SHOW YOUR WORK) 3x + 4 ≤ −x − 5 ≤ 12
[tex]\frac{9}{4}[/tex]Answer:
[-17, -[tex]\frac{9}{4}[/tex]
graph would be closed circle, shaded to the left and the point placed a little over -2 bc -9/4 THEN another closed circle on -17 shaded to the right so they meet in the middle
Step-by-step explanation:
-x-5 greater than or equal to 3x+4
-x-5 ≤ 12
x ≤ -9/4
-z-5 ≤ 12 ===== x > -17 (make sure to put a line under the >)
An article was sold for Rs 30
at a loss of 24%, what would
have been sale price, had it
been sold at 17% loss.
Answer:
Rs. 32.77
Step-by-step explanation:
At a loss of 24% sale price = Rs. 30At a loss of 17% sale price = ?----------
Finding cost price:
Sale price = cost - lossIf cost = x:
x - 24% = 300.76x = 30x = 30/0.76x ≈ 39.48SP at a loss of 17%:
39.48 - 17% = 39.48*0.83 ≈ 32.773(2x - 4) + (3x + 1) = 5x + 21 -(x +1)
Answer:
x=6.2
Step-by-step explanation:
3(2x - 4) + (3x + 1) = 5x + 21 -(x +1)
6x-12+3x+1=5x+21-x-1
combine like terms:
9x-11=4x+20
move variables to same side by sub 4x and add 11
5x=31
x=6.2
Neena is listening to a song. It has a consistent beat. She counts 11 beats in
1 seconds. What is the constant of proportionality for the relationship of beats
to minutes? Show your work.
Answer:
11beats / 1 second = 660 beats /1 minute
express the following number in standard form a question 425000
what is 91,007,500 in scientific notation?
Answer:
Step-by-step explanation:
the scientific notation of 91,007,500
9.10075 x 10^7
If a = 5 and b = -3, what is the value of 2b/b^2-a
Answer:
-4.33333
Step-by-step explanation:
I searched it up on google but here you go
Please answer! Thank you in advanced
Answer: D
Step-by-step explanation:
To solve this problem, let's go through each pair to see if they are perpendicular lines.
A. Incorrect
These are parallel lines. We know this because they have the same slope and different y-intercept.
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B. Incorrect
These are not perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.
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C. Incorrect
These are not perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.
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D. Correct
These are perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair matches this property.
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E. Incorrect
These are not perpendicular lines. You can see that y=5 and x=5. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.
Solve:
3(x - 2) = 18
Answer:
Standard form:
3x − 24 = 0
Factorization:
3(x − 8) = 0
Solutions:
x = 24
3
= 8
Step-by-step explanation:
Hope this helps? :))
[tex]\large\tt Step-by-step~explanation:[/tex]
To solve for x, we have to isolate the variable.
[tex]\tt Step~1:[/tex]
First, we distribute 3 to (x - 2) because when there are parentheses with terms inside it next to another term, then we have to multiply them together.
[tex]\tt 3*x=3x\\3*-2=-6\\3x-6=18[/tex]
[tex]\tt Step~2:[/tex]
Next, we add six on the left side of the equation to cancel out - 6. We also add 6 to the right, because we have to do whatever we do on both sides of the equation.
[tex]\tt 3x-6(+6)=18(+6)\\3x=24[/tex]
[tex]\tt Step~3:[/tex]
Finally, we divide both sides by 3 to isolate x and get our answer.
[tex]\tt \frac{3x}{3}=x\\\frac{24}{3}=8\\x=8[/tex]
[tex]\large\boxed{\tt Our~final~answer: ~x=8}[/tex]
BC = 4x + 2 AB = 8x + 8 and AC = 22 Find BC
Answer:
BC = 6.8
Step-by-step explanation:
The distance from A to B, then from B to C, is the same distance as from A to C.
Thus,
AB + BC = AC
AB = 8x + 8
BC = 4x + 2
AC = 22
AB + BC = AC
(8x + 8) + (4x + 2) = 22
Expanding the parenthesis:
8x + 8 + 4x + 2 = 22
8x + 4x + 8 + 2 = 22
12x + 12 = 22
Subtracting 12 from both sides:
12x = 10
Dividing both sides by 12:
x = 10/12 = 1.2
x = 1.2
We're looking for BC. As we know,
BC = 4x + 2
Let's now put in x = 1.2 into this equation:
BC = 4x + 2
BC = 4 * 1.2 + 2
Since 4 * 1.2 is 4.8:
BC = 4.8 + 2
BC = 6.8
Answer: BC = 6.8
The result of which expression will best estimate the actual product of (Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths)?
Answer:
12/35
Step-by-step explanation:
Given the expression;
-4/5(3/5)(-6/7)(5/6)
First multiply the first two brackets
-4/5×3/5
= -12/25
Multiply the last expression in its lowest term
= -6/7×5/6
= -30/42
= -15/21
= -5/7
Multiply the resulting expressions together
= -12/25×-5/7
= -12/5×-1/7
= 12/35
Hence the beat estimate for the actual product is 12/35
Answer:
B
Step-by-step explanation:
Took the test ;)
Which of the following statements contain a variable? Check all that apply.
A. The length of the rope.
B. She arrived at 2 o'clock.
C. Half the height of the building.
D. There are 12 inches in a foot.
Answer:
A and C
Step-by-step explanation:
Took the test :/
5.9= -4+×
help me solve this
At the fair the ratio of male to females was 8:6. If there are 112 people at the fair how many males are there?
Answer:
64
Step-by-step explanation:
Let the common multiplier of the given ratio be x.
Therefore,
Number of males = 8x
Number of females = 6x
[tex]8x + 6x = 112 \\ 14x = 112 \\ x = \frac{112}{14} \\ x = 8 \\ number \: of \: males = 8x = 8 \times 8 = 64 \\ [/tex]
Which of the relations below are functions? Justify your answer.
d. For each graph above, state the domain and range.
Answer:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
Does anybody know how to answer this?
Answer:
Step-by-step explanation:
√a^2 + b^2 =a+b
√ (a+b)^2 =a +b
The square root and the square cancel making
√a^2+b^2=a+b
If it takes a company 4 hours to build 1,300 cell phones, at the same rate it will
take the company n hours to build 39,000 cell phones.
The square root of 130
falls between _____
and _____
but it's closest to _____
Answer:
11 and 12, closest to 11
Step-by-step explanation:
The square root of 130 falls between 11 and 12
Since 11 squared is 121 and 12 squared is 144.
130 is closer to 121, making it closer to 11 than to 12.
Hope this helps :)
if f(x)= -x^2 - 1, and
g(x)=x + 5, then
g(f(x))=___x^2+___x+___
Answer:
Step-by-step explanation:
g(f(x))
g(-x^2 - 1)
-x^2 + 0x + 4= -x^2 + 4
how does a dilation change a figure
Find the degree.
18x^4 y2 + 2x^5
Answer:
answer is 5
Step-by-step explanation:
I used a calculator
In which Quadrant is the point (4, -2) located?
Quadrant 3
Quadrant 1
Quadrant 4
0 Quadrant 2
Answer:
Quadrant 4
Step-by-step explanation:
We go to the x-axis first and put a point on number 4, second we move that point along the y-axis till number -2
which is located in the 4th quadrant
Answer: Quadrant 4
Step-by-step explanation: Since the rule for Quadrant 4 is (+, -) it will be located there because 4 is a positive number and -2 is a negative number.
The temperature at 2:00 pm is 27 degrees at 2 :00 the temperature has fallen to -4 degrees what is the difference in temperature from 2:00 pm to 2:00 am ?
Answer:
31 degrees
Step-by-step explanation:
Difference in temperature from 2:00 pm to 2:00 am = 27 - (-4) = 27 + 4 = 31 degrees
8+1/2(12)=x
Solve please
Answer
14
you have to simplify
8+1/2(12)
14
The coordinates of point T are (0,3). The midpoint of ST is (1, -5). Find the coordinates of point S.
Answer:
M(3/2,−9/2)
explaination:
the midpoint of a segment is the average values of the endpoint coordinates ie midpoint of ( x 1 , y 1 ) , ( x 2 , y 2 ) M ( x 1 + x 2 2 , y 1 + y 2 2 ) we ahve ( 3 , − 6 ) , ( 0 , − 3 ) ∴ M ( 3 + 0 2 , − 6 + − 3 2 ) M ( 3 2 , − 9 2 )
The ratio of red cars to blue cars in a parking lot was 5:3 . If there was 40 red cars , how many blue cars were there ?
what the answer to -3-z=?
Hey there!☺
[tex]Answer:\boxed{-z-3}[/tex]
[tex]Explanation:[/tex]
[tex]-3-z[/tex]
-3 + -z Add together
-z - 3
Hope this helps!
Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. What will Kermit think of Peggy's iced tea? Choose 1 answer: A It is too strong. B It is too weak. C It is just right.
Answer:
C. It is just right.
Step-by-step explanation:
We want to compare the ratios ...
bags : liters = 15 : 2
and
bags : liters = 90 : 12
If we multiply the numbers of the first ratio by 6, we see they are identical to those in the second ratio:
(15)(6) : (2)(6) = 90 : 12
The ratio of bags to liters for Peggy's tea matches the ratio Kermit likes. He will think it is just right.
Answer:
C its just right
Step-by-step explanation: