Answer:
2/3q + 7/12
Step-by-step explanation:
If you are trying to simplify your expression
4/6q + 7/12
2/3q + 7/12
Consider the functions. F(x)=(x+1)2-4 and g(x)=-4|x+1| which statement compares the range of the functions?
Answer:
The fourthStep-by-step explanation:
Vertex of f is (-1, -4) so its range is limited to y≥-4
|x+1| is always ≥0 therefore -|x+1| is always ≤0 {4 is insignificant to this - slope doesn't mean in range} so its range is limited to y≤0
Answer:
D
Step-by-step explanation:
i just took the test
At a central train station, there are 4 different train routes with trains that leave every 6 minutes, 10 minutes, 12 minutes, and 15 minutes. If each train can hold up to 200 passengers, what is the maximum number of passengers who can leave the station on a train in one hour?
Answer:
5,000 passengers
Step-by-step explanation:
1. Find out how many trains leave each hour.
6 min – 60/6 = 10 x 200 passengers = 2000
10 min – 60/10 = 6 x 200 passengers = 1200
12 min – 60/12 = 5 x 200 passengers = 1000
15 min – 60/15 = 4 x 200 passengers = 800
2. Add it all up.
2000 + 1200 + 1000 + 800 = 5000 passengers
Answer:
5000
Step-by-step explanation:
6 minute train leaves 10 times
10 x 200 = 2000 passengers
10 minute train leaves 6 times
6x200 = 1200
12 minute train leaves 5 times
5x200 =1000
15 minute train leaves 4 times
4x200 =800
2000+1200+1000+800=5000
assuming more than 1 train can be at the station at once
Maddy and her cousin work during the summer for a landscaping company. Maddy's cousin has been working for the company longer, so her pay is 30% more than Maddy's. Last week, Maddy's cousin worked 27 hours, and Maddy worked 23 hours. Together, they earned $493.85. What is Maddy's hourly pay?
List some typical benefits an employee might receive on top of their wage?
Answer:
paid vacation
paid medical
401k
Multiply. √3 ⋅ √5 ⋅ √7 Enter your answer, in radical form, in the box.
Answer: square 105
Step-by-step explanation: Confirming answer
A radical expression is an expression containing a square root, mostly a square root.
The value of √3.√5.√7 in radical form is √105.
What is a radical expression?A radical expression is an expression containing a square root, mostly a square root.
We have,
√3.√5.√7
We can multiply the numbers together.
= √(3 x 5 x 7 )
= √(15 x 7)
= √105
Thus the value of √3.√5.√7 in radical form is √105.
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Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, or 1 negative unit tile, to both sides. What advice would you give Tucker to help him decide on his first step?
Answer:
He should use the negative 1 unit tile.
Step-by-step explanation:
He should do this because in this equation you wish to isolate the variable on one side, and it would be better to first take away any constants. Afterwards, the variable would be next.
Answer: It does not matter which he does first. Either way, zero pairs will be created on both sides, which will isolate the variable to determine x. Adding the x-tiles and then the unit tile, or visa versa, will give the same solution.\
Explanation: that's what i put and i got it right
PLZZZZZ MARK ME BRAINIEST
Use the elimination method to solve the system of equations.
3x + 4y = 8
x-y=12
O A. (8,4)
O B. (-4,8)
C. (0,2)
O D. (8,-4)
Answer:
Option D. (8, – 4)
Step-by-step explanation:
3x + 4y = 8 ..... (1)
x – y = 12.... (2)
To solve the above equation by elimination method, do the following:
Step 1:
Multiply equation 1 by the coefficient of x in equation 2 i.e 1.
Multiply equation 2 by the coefficient of x in equation 1 i.e 3. This is illustrated below:
1 × Equation 1
1 × (3x + 4y = 8)
3x + 4y = 8 ...... (3)
3 × Equation 2
3 × ( x – y = 12)
3x – 3y = 36......(4)
Step 2:
Subtract equation 3 from equation 4. This is illustrated below:
. 3x – 3y = 36
– (3x + 4y = 8)
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
– 7y = 28
Divide both side by the coefficient of y i.e –7
y = 28/–7
y = – 4
Step 3:
Substitute the value of y into any of the equation to obtain the value of x. In this case, we shall substitute the value of y into equation 2 as shown below:
x – y = 12
y = –4
x – (–4) = 12
x + 4 = 12
x = 12 – 4
x = 8
Therefore, the solution to the equation above is (8, – 4)
Answer:
(8, – 4)
Step-by-step explanation:
my math teacher told me
Which best describes the relationship between the lines with equations 5x +y = 4 and 20.0 + 4y = 16?
Answer:
There is no relationship, except they do intersect at the point (1, -1). Hope this helps :)
Brainliest?
Both given lines are going to intersect at ( 1,-1 ) that's it.
What is a line segment?A line section that can connect two places is referred to as a segment.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
Given that
Line 1 ; 5x +y = 4
Line 2 ; 20 + 4y = 16 ⇒ y = -1
At y = -1 the first line is
5x - 1 = 4 ⇒ x = 1
So,
It is clear that line 1 has a point ( 1 .-1 ) and line 2 also passes
through it hence there will an intersection.
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PLZ HELP. Will give brainliest if answered correctly with explanation.
Answer:
90 degrees
Step-by-step explanation:
given:
ABCD~EFGH
mB=mBCD=90
mBAD=128
find mFGH
this means that we are looking for angle G, and it is given that G is equal to C. it is also given that C is equal to B in mB=mBCD. finally, it is given that mB and mBCD, which are both equal, are 90 degrees. this means that mC is 90 degrees, and since mC is equal to mG, mG is equal to 90 degrees
PLEASE HELP!! ASAP
The two square pyramids are similar. The side length of the smaller pyramid is 3/4 the side length of the larger pyramid. Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid? Answer choices: 9/16 or 16/9
Find the indicated functional value for the ceiling function: f(1.5)?
Answer:
The correct answer is 2Step-by-step explanation:
The ceiling function is a python programming function that rounds a decimal point number to the nearest whole number.
Given the function expression f(1.5), the ceiling function will round 1.5 to the nearest whole number which is 2
What is the value of a for the exponential function in the
graph represented in the form of f(x) = a(b)?
O -4
O -3
O 3
O 4
Answer:
Option (4)
Step-by-step explanation:
If the given exponential function is in the form of f(x) = [tex]a(b)^x[/tex]
From the graph we find that two points (0, 3) and (0.5, 6) lie on the graph.
For (0, 3),
f(0) = [tex]a(b)^0[/tex]
3 = a
For (0.5, 6),
f(0.5) = [tex]3(b)^{0.5}[/tex]
6 = [tex]3\sqrt{b}[/tex]
[tex]\sqrt{b}=2[/tex]
b = 4
Therefore, value of b in the given function 'f' is 4.
Option (4) will be the answer.
Answer:
(D) 4
Step-by-step explanation:
♥☺
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
the trig function you would use to find x would be cosine becuase its adjacent/ hypotenuse.
solving it would give you 49 becuase its cosine(x)=13/20 and you have to multiply by the inverse of cosine
to solve for y you would use sine of y which would be opposite/ hypotenuse = 13/20
X^4 -33x^2-108 which of the following is equal to the polynomial given above? A. (X+36)(x+v3i)(x-3) B. (X-36)(x+v3i)(x+3)
Answer:
Answer D I believe :)
Step-by-step explanation:
x^4-33x^2-108
rewrite as a difference
x^4+3x^2-36x^2-108
factor out x^2
x^2(x^2+3)-36x^2-108
factor out -36
x^2(x^2+3)-36(x^2+3)
factor out x^2+3
(x^2+3)(x^2-36)
factor x^2-36
(x^2+3)(x-6)(x+6)
set x^2+3 equal to 0
x^2+3=0
solve for x
x=+/-[tex]\sqrt{3}[/tex]i
set at factors
(x+6)(x-6)(x+[tex]\sqrt{3}[/tex]i)(x-[tex]\sqrt{3}[/tex]i)
I hope this helps.
Please help
Factorise completely 36ab - 18b+6a-3
Answer:
[tex]3(6b-1)(2a-1)[/tex]
Step-by-step explanation:
[tex]36ab-18b+6a-3\\18b(2a-1)+3(2a-1)[/tex]
Taking (2a-1) as common
[tex](18b+3)(2a-1)[/tex]
=> [tex]3(6b-1)(2a-1)[/tex]
Answer:
[tex]3(6b+1)(2a-1)[/tex]
Step-by-step explanation:
[tex]36ab - 18b+6a-3[/tex]
Factor the two groups.
[tex]18b(2a-1)+3(2a-1)[/tex]
Take 2a - 1 common.
[tex](18b+3)(2a-1)[/tex]
Factor 18b + 3.
[tex]3(6b+1)(2a-1)[/tex]
griffin ordered a pair of sneakers online. he had 16 credit that he applied toward the purchase, and then he used a credit card to pay for the rest of the cost. if the the shoes cost 80, then how much did griffin charge to his credit card when he bought the sneakers? PLEASE ANSWER I BEG Y'ALL
Answer: Griffin charge $79.854 to his credit card when he bought the sneakers.
Step-by-step explanation:
Griffin ordered a pair of sneakers online.
Value of each credit point = 1 cent
Then , value of 16 credit points = 16 cents = $0.16 [1$ = 100 cents]
Cost of shoes = Rs $80
Charge to credit card = (Cost of shoes) - (Value of 16 credit points)
= $(80-0.16)
= $79.84
Hence, Griffin charge $79.854 to his credit card when he bought the sneakers.
Sam needs a web designer. Designer A is offering her services for an initial $500 in addition to $100 per hour. Designer B is offering her service for an initial $600 in addition to $50 per hour. Till how many hours company B will be cheaper option for him?
Answer:
2 hours
Step-by-step explanation:
Let's denote the amount of time we need to find out, t.
=> 600 + 50t < 500 + 100t
or 600 - 500 < 100t - 50t
or 100 < 50t
or 100/50 < t
or t > 2
=> After 2 hours, company B will be cheaper option than company A
In a scale drawing of a rectangular deck, the
length is 10 inches and the width is 8 inches. In
the drawing, 4 inches represents 3 yards. What
is the length of the actual deck, in yards?
Answer:
45
Step-by-step explanation:
10/4x3=7.5
8/4x3=6
6x7.5=45yards
Dan believes he can use the information given in the diagram and the SAS rule to prove the two triangles are congruent. Is he correct? Explain.
Answer:
Yes. There are two pairs of congruent sides and a pair of congruent angles. This follows the SAS rule.
The vertices of triangle ABC are A(5,2), B(-1,-6), and C(1,5). If triangle DEF is similar to triangle ABC and AB/DE = 5, which could be the coordinates of D and E
Answer:
im pretty sure its the third one
Step-by-step explanation:
i guessed but it might be right
Answer this please :(
Answer:
Part A: check B, E and F.
Part B: check E and G.
Step-by-step explanation:
The equation [tex]y = a(x - b)^2 + c[/tex] is the equation of a parabola written in the vertex form, where the vertex will be (b, c).
So, if the vertex is (2, -1), we have that b = 2 and c = -1
To find the c value, we use the information that the y-intercept is 3, so we have the point (0, 3). Using x = 0 and y = 3, we have:
[tex]3 = a(0 - 2)^2 - 1[/tex]
[tex]3 = 4a - 1[/tex]
[tex]4a = 4[/tex]
[tex]a = 1[/tex]
So we have a = 1, b = 2 and c = -1.
Part A: check B, E and F.
To find the x-intercepts, we need to find the values of x where y = 0:
[tex]0 = (x - 2)^2 - 1[/tex]
[tex]x^2 - 4x + 4 - 1 = 0[/tex]
[tex]x^2 - 4x + 3 = 0[/tex]
Solving using Bhaskara's formula (a = 1, b = -4 and c = 3), we have:
[tex]\Delta = b^2 - 4ac = 16 - 12 = 4[/tex]
[tex]x_1 = (-b + \sqrt{\Delta})/2a = (4 + 2)/2 = 3[/tex]
[tex]x_2 = (-b - \sqrt{\Delta})/2a = (4 - 2)/2 = 1[/tex]
So the x-intercepts are 1 and 3
Part B: check E and G.
∫1/(1+sinx^2 +2cos^2x)
Answer:
Im not sure, is this correct?
please help !!!!!!!!
Answer:
x=3 y=11
Step-by-step explanation:
2x+3=9
2x=6
x=3
y-4=7
y=11
1 1/2 + 2 1/2 x 3/4 -1/2
Answer:
[tex]\frac{23}{8} [/tex]Step-by-step explanation:
[tex]1 \frac{1}{2} + 2 \frac{1}{2} \times \frac{3}{4} - \frac{1}{2} [/tex]
Convert the mixed number to an improper fraction
[tex] \frac{3}{2} + \frac{5}{2} \times \frac{3}{4} - \frac{1}{2} [/tex]
Multiply the fractions
[tex] \frac{3}{2} + \frac{15}{8} - \frac{1}{2} [/tex]
Calculate the sum
[tex] \frac{3 \times 4 + 15}{8} - \frac{1}{2} [/tex]
[tex] \frac{12 + 15}{8} - \frac{1}{2} [/tex]
Add the numbers
[tex] \frac{27}{8} - \frac{1}{2} [/tex]
Calculate the difference
[tex] \frac{27 - 1 \times 4}{8} [/tex]
[tex] \frac{27 - 4}{8} [/tex]
[tex] \frac{23}{8} [/tex]
Hope this helps...
Best regards!!
The base of a regular pyramid is a hexagon.
in a certain town there are 30000 registered voters, of whom 12000 are Democrats. A survey organization is about to take a simple random sample of 1000 registered voters. a) the expected value for the percentage of Democrats in the sample is
Answer:
400.
Step-by-step explanation:
The following data were obtained from the question:
Total number of Registered voters = 30000
Total number of Democrats = 12000
Next, we shall determine the percentage of Democrats in the registered voters.
This can be obtained as follow:
Percentage of Democrats = number of Democrats / Total number of registered voters x 100
Percentage of Democrats = 12000/30000 x 100
Percentage of Democrats = 40%
Now, we can obtain the expected value of percentage of Democrats in the 1000 sample as follow:
Percentage of Democrats = 40%
Total number of Sample = 1000
Number of Democrats in the sampl=..?
Percentage of Democrats = number of Democrats in sample / Total number of sample x 100
40% = number of Democrats in sample/1000
Cross multiply
Number of Democrats in sample
= 40% x 1000
= 40/100 x 1000
= 400
Therefore, the expected number of Democrats in the sample is 400.
Which is a qualitative graph? On a coordinate plane, a line with positive slope goes through points (negative 1, 0) and (0, 3). On a coordinate plane, points are at (0, 2), (1, 3), (2, 2.5), (3, 3), (4, 4), and (4.5, 5). A graph has time on the x-axis and height on the y-axis. The graph increases to point A, increases to point B, and then decreases to point C. A graph has time on the x-axis and height on the y-axis. Segment A increases, segment B is increases, and segment C decreases.
Answer:
(-1,0), (0,3) and (2,2.25)
Step-by-step explanation:
The qualitative graph is as follows:
A(-1,0) ------> B(0,3) ------> C(2,2.25)
Hence, slope = (2.25 - 0)/(2 - (-1)) = 2.25/3
∴ slope = 0.75
Except for the option graph on a coordinate plane, a line with a positive slope goes through points (negative 1, 0) and (0, 3), all the graph is qualitative. Options B, C, and D are correct.
What is a qualitative graph?The kind of graph that shows the quality curve such as decreasing and increasing events, is called a qualitative graph or curve.
Here,
1. On a coordinate plane, a line with a positive slope goes through points (negative 1, 0) and (0, 3), since this graph does not represent any data as well as also constantly increasing between two points so it is not a qualitative graph.
Similarly,
Graphs B, C, and D have an increasing and decreasing order, so all are qualitative graphs.
Thus, except for graph A all the graphs are qualitative graphs.
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Heyy umm I need help
Answers
B, D and E are proportional
A, C, and F are not proportional
y = 3+x .... not proportional
y = 1.6x .... proportional
y = 3/(4x) .... not proportional
y = x .... proportional
y = 12x .... proportional
y = 2x+1 ... not proportional
=================================================
Explanations:
Anything in the form y = k*x is a direct proportional equation. As x goes up, so does y. The same happens if x decreases, and we'll have y also decrease. They go up together or down together. This is where the "direct" comes from. Specifically they change the same amount each time (hence the term "proportional").
For something like y = 1.6x, we have k = 1.6
In the equation y = x, we have y = 1x in reality so k = 1 here.
Lastly, y = 12x has k = 12.
----------------------
The other equations are not in the form y = kx. Whenever we have y = mx+b, with b nonzero, then y = mx+b is not proportional. The value of b must be 0 for it to fit y = kx form. This rules out y = 2x+1 and y = 3+x or y = x+3.
The equation y = 3/(4x) is an inversely proportional equation in the form y = k/x. It cannot be written as y = kx. Note how x is in the denominator for y = 3/(4x) while the same can't be said for y = kx. Inversely proportional equations have x increase and y decrease, or vice versa. They go in opposite directions.
what is the value of "c" by completing the square. x^2 - 14x +
Answer:
[tex]\large\boxed{\sf \ \ 49 \ \ }[/tex]
Step-by-step explanation:
Hello,
we need to get the discriminant = 0 meaning
[tex]\Delta = b^2-4ac = 0\\\\<=>14^2-4c=0\\\\<=>c=\dfrac{196}{4}=49[/tex]
And then the square is
[tex]x^2-2\cdot 7\cdot x+7^2=(x-7)^2[/tex]
Hope this helps
What the answer question
its b the answer is b
Answer:
the answer on the B
Step-by-step explanation: