Answer:
y = 4/3x +8/3
Step-by-step explanation:
The point-slope form is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
For the given point and slope, this is ...
y -4 = 4/3(x -1)
Adding 4 and eliminating parentheses, you have ...
y = 4/3x -4/3 +4
y = 4/3x +8/3
evaluate:
16÷(2+12)2
A. 2 14/25
B. 4 1/4
C. 6 2/5
D. 8 1/4
The result of the given expression in simplest form is [tex]\frac{4}{7}[/tex].
The given parameters:
16÷(2+12)2
The given expression can be evaluated in the following order as shown below;
add the numbers in the bracket;
2 + 12 = 14
multiply the numbers in the bracket by 2;
14 x 2 = 28
divide the 16 by your result after the multiplication;
[tex]= \frac{16}{28} \\\\[/tex]
divide the numerator and denominator by their common factor which is 4;
[tex]\frac{16}{(2+ 12) 2} = \frac{16}{28} = \frac{4}{7}[/tex]
Thus, the result of the given expression in simplest form is [tex]\frac{4}{7}[/tex].
Learn more about simplification of algebra here: https://brainly.com/question/432678
for which value of x does each expression make sense:
(square root) -2x^2
(square root) (-2x)^3
The value of x that makes sense for the expression is the domain of the expression
The value of x makes sense for [tex]\sqrt{-2x^2}[/tex] is 0The value of x must not exceed 0 for [tex]\sqrt{(-2x)^3}[/tex] to make sense[tex]\sqrt{-2x^2}[/tex]
For the above expression to have a defined value, the expression in the bracket must be positive.
However, x^2 will always be positive, and -2 will ensure that the expression is always negative, except when x = 0
Hence, the value of x makes sense for [tex]\sqrt{-2x^2}[/tex] is 0
[tex]\sqrt{(-2x)^3}[/tex]
For the above expression to have a defined value, the expression in the square root must be positive.
However, the power of 3 will ensure that the expression is always positive only when x is less than or equal to 0
Hence, the value of x must not exceed 0 for [tex]\sqrt{(-2x)^3}[/tex] to make sense
Read more about domain at:
https://brainly.com/question/10197594
Answer: First answer = x<=0 and second answer is x<0
Step-by-step explanation: The other guy got the work correct but the answer wrong. The real answer is x≤0 for -2x^2 and the second answer is x < 0.
I will give u a crown The rectangles below are similar in shape and their sides are proportional. The large rectangle is 42 feet tall and 54 feet wide. The smaller rectangle is 36 feet wide. How tall is the smaller rectangle? *
Answer:
28ft tall
Step-by-step explanation:
Since they are proportional, you can set up a ratio of length to width.
L/W=L/W
42/54=L/36
L=(42*36)/54
L=28
ratio of boys to girls is 2:3 what is the ratio of boys of there are 6 girls
Answer:
4:6
Step-by-step explanation:
2 x
- = ----
3 6
6/3 = 2
2 x 2 = 4
help
Pls no joking around
Answer:
I think like expressions you use x or y or such many variables. you use - or + too. like (x+2)y there are parentheses too.
I NEED HELP ON QUESTION B AND C ASAP.
Answer:
See belowStep-by-step explanation:
Part BAssumed the dimensions of the top and bottom parts are identical.
Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:
h = 1.8 cm - 0.3 cm = 1.5 cmPart CFind the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.
V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³Total sand in the bottom part:
7.96 + 4.6 = 12.56 cm³Time taken:
12.56 / 0.05 = 251.2 seconds = 4 min 11.2 secondsAlana deposited $20 in a savings account earning 5% interest, compounded annually.
To the nearest cent, how much will she have in 2 years?
Submit
Answer:
Step-by-step explanation:
y = $20(1.05)² = $22.05
9x2+8x(5x-4) simplify
Answer:
40x --14
Step-by-step explanation:
Multiply 9 and 2 to get 18
Use distribute property
Multiply 8 by 5x -15
Subtract 32 from 18 = -14
Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0
Answer:
Step-by-step explanation:
0 is not an interval, it is just the origin
hard to make an estimate without knowing the limits.
average rate of change will be Δy / Δx or (y - y₀) / (x - x₀)
as (0, 0) is the origin and appears to be on the plot line, the average rate of change will be y/x for any other point on the curve relative to the origin.
EDIT
for interval 0 ≤ x ≤ 8
at x = 8 y appears to be -24
average change is -24 / 8 = -3
George is 14 years old. His age is 2 years more than twice his brother, Jhon's age. How old is John?
Answer:
30
Step-by-step explanation:
14×2=28
28+2=30
i hate riddles
Estimate 4 1/3 x 2 3/4
Answer:
11 11/12
Step-by-step explanation:
Answer:
≈ 12
Step-by-step explanation:
To estimate, we'll round these mixed numbers to the nearest whole number, then multiply. Let's start with 4 1/3. 4 1/3 is closest to 4, since 1/3 is smaller than 1/2. Then, we can look at 2 3/4. This mixed number is closest to 3, since 3/4 is greater than 1/2.
Now, the two numbers we have are 4 and 3. What is 4 × 3? Well, that's pretty simple - the answer is 12. So, 4 1/3 × 2 3/4 ≈ 12. Hopefully that's helpful! :)
Lieutenant James made an average of 3 arrests per week for 4 weeks. How many arrests does she need to make in the fifth week to raise her average to 4 arrests per week?
Answer:
5
Step-by-step explanation:
We want the average arrests to be 4. It can be done by calculating the average between the average arrests and arrests during the 5th week, so we get:
Avg(1,2,3,4,5) = (Avg(1,2,3,4) + A(5)) / 2
Where Avg(x) is the average of arrests in given weeks, and A(x) is the number of arrests in a given week.
Solving for A(5) => A(5) = 2*Avg(1,2,3,4,5) - Avg(1,2,3,4) = 2 * 4 - 3 = 8-3 = 5
Ramon surveyed his friends about their favorite snacks. He found that 1/6 of his friends prefer trail mix. What is the equivalent decimal for the fraction of friends that prefer trail mix? Drag and drop the correct number to the box. 1/6 0.16 or 6
Answer:
hlp
Step-by-step explanation:
hlp
At what rate would $1,200 earn $96 in 8 years?
What is the measure of ZB?
Answer:
∠ B = 116°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , that is
∠ B + 28° + 36° = 180°
∠ B + 64° = 180° ( subtract 64° from both sides )
∠ B = 116°
Answer:
116°Step-by-step explanation:
The sum of interior angles of a triangle is 180°
so
180 - 36 - 28 =
116°
PLS PLS PLS HELP ON GEOMETRY PLS
Answer:
40 degrees
Step-by-step explanation:
Since triangle HJL is isosceles, angle HJL is congruent to HLJ, so it is 75 degrees.
Angle HLM is linear with HLJ, so they add up to 180, so HLM = 105 degrees.
Triangle HLM adds to 180 degrees, so 180 - 35 - 105 = 40
Write in expanded form
1) 531.029
Answer:
expanded for everything
Step-by-step explanation:
Expanded Form of 531.029:
531.029 = (5 * 102) + (3 * 101) + (1 * 100) + (2 * 1/102) + (9 * 1/103)
531.029 = (5 * 100) + (3 * 10) + (1 * 1) + (2 * 1/100) + (9 * 1/1,000)
531.029 = 500 + 30 + 1 + 2/100 + 9/1,000
531.029 = 500 + 30 + 1 + 0.02 + 0.009
A box is 36 inches long,18 inches wide, and 6 inches deep. How many cubic feet are in the box?
Answer:
3,888 ft³
Step-by-step explanation:
Multiply the dimensions together.
[tex](36)(18)(6)=3888[/tex]
Therefore, the box is 3,888 ft³.
The volume of the box in feet given its dimensions is 2 1/4 feet³.
What is the volume of the box?The volume of the box can be determined by multiplying the length, width and height of the box with each other.
Before the volume can be determined, the dimensions have to be converted from inches to feet.
1 inch - 1/12 feet
Length = 36 / 12 = 3 feet Width = 18 / 12 = 3/2 feet Height = 6/12 = 1/2 feetVolume = 3 x 3/2 x 1/2 = 9/4 = 2 1/4 feet³
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#SPJ2
For the high school basketball game, it costs $8 for every 2 tickets.
Complete the table below showing the cost and the number of tickets.
Answer:
$8 16 24 32 40 48 56 64 72 80
---------------------------------------------------------------------------
4 8 12 16 20 24 28 32 36 40
Step-by-step explanation:
1) f(4) = g(4)
2) f(4) = g(-2)
3) f(2) = g(-2)
4) f(-2) = g(-2)
Answer: 4)
Step-by-step explanation:
f(4) = -14
g(4) = 10
g(-2) = 4
f(2) = -8
f(-2) = 4
The correct statement is 4) f(-2) = g(-2)
Or by inspection, we can see that the graph f(x) intersects g(x) at x = -2 and y = 4. So, f(-2) = g(-2) = 4 is true
A train leaves a point A at 5 pm and reach another point B at 11 pm. Another train leaves point B at 7 pm and reach point A at 10 pm. At what point will the two trains meet?
Step-by-step explanation:
let's think this through.
train a goes from A to B in 6 hours. that means with a speed of 1/6 / hour.
train b goes from B to A in 3 hours, so it is twice as fast as train a = 2/6 / hour.
when train b leaves B (at 7pm), train a was already traveling for 2 hours (1/3 of the whole trip) leaving it with 4 hours to go (2/3 if the distance).
that means that at that point now both trains are moving against each other with a relative speed of 3 times the
speed of a (the original speed of a plus the double speed of b).
this is the same as one train standing, and the other going the whole distance with 3 times the speed of a.
the whole distance is 2/3 of AB.
the speed is 3/6 / hour = 1/2 / hour.
so, a single train with that speed would cover the total distance AB in 2 hours. or half of the distance in 1 hour.
the question now, how long for 2/3 of AB.
the distances relate by a factor :
1/2 × f = 2/3
f = 2/3 / 1/2 = 2/3 × 2/1 = 4/3
now we need to multiply also the time in the distance/time speed ratio by this factor.
therefore, 2/3 of the total distance is done in 1×4/3 = 4/3 of an hour.
that means both trains meet after 4/3 of an hour after 7pm.
that is 7pm plus 1 hour and 20 minutes giving us 8:20pm.
Find the period of the function y=3/2 tan(1/3^x)
A) π/3
B) π/6
C) 3 π
D) π
hi, have a good day!
Which of the following tables represents a function?
A) x 1 −1 4 −4
y 8 8 10 10
B) x 2 2 3 3
y 6 −6 7 7
C) x 5 −5 5 −5
y 10 11 12 13
D) x 2 2 7 7
y 2 3 4 5
The only table that represents a function is table A
For a relation or table to represent a function, the input values (domain) must have a corresponding codomain (output) that is unique.
This means that there must not be two similar values as the domain in the table, if there is, such table does not represent a function.We can see that tables B, C, and D do not represent a function since they all have repeating values in their x-values.Hence the only table that represents a function is table A
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SOMEONE PLS HELP ME WITH GEOMETRY: what triangle is congruent to ABC?
Answer:
MLK :)
Step-by-step explanation:
Congruent means identical shape.
Answer:
D. KLM
Step-by-step explanation:
how many times bigger is 3,136 than 486 written as a percentage
Answer:
Step-by-step explanation:
Solution for 468 is what percent of 486:
468:486*100 =
(468*100):486 =
46800:486 = 96.3
Now we have: 468 is what percent of 486 = 96.3
Question: 468 is what percent of 486?
Percentage solution with steps:
Step 1: We make the assumption that 486 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=486$.
Step 4: In the same vein, $x\%=468$.
Step 5: This gives us a pair of simple equations:
$100\%=486(1)$.
$x\%=468(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$frac{100%}{x%}=frac{486}{468}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$frac{x%}{100%}=\frac{468}{486}$
$Rightarrow x=96.3%$
Therefore, $468$ is $96.3%$ of $486$.
hlep me plsssssssssssssssssssssssss
Answer:
B.
Step-by-step explanation:
It is not A because it does not make sense and does not match up.
It Is not C because that is just points and it is asking for a function.
D is wrong.
So It is B.
Here is the graph for B. It matches up.
[tex]\mathrm{Axis\:interception\:points\:of}\:2x-1:\quad \mathrm{X\:Intercepts}:\:\left(\frac{1}{2},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-1\right)[/tex]
[tex]\mathrm{Slope\:of\:}2x-1:\quad m=2[/tex]
A triangle has two sides of length 9 and 3. What is the smallest possible whole-number length
for the third side?
Answer:
The answer is 11
Step-by-step explanation:
hope this helps a little bit
HELP QUICK!
Read the description of f below, and then use the drop-down menus to complete an explanation of why f is or is not a function.
f relates each student in South High School to their grade point average (GPA) and number of credits earned.
Using the function concept, it is found that f is a function, as each student is related to only one GPA and only one number of credits.
In a function, one value of the input can be related to only one value of the output.
In this problem:
The input is the student.The output is the student GPA, and the number of credits earned.Each student is related to only one GPA and only one number of credits, hence one value of the input is related to only one value of the output, and f is a function.
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find the value of 7u+7 given that -3u-5=4
Answer:
14
Step-by-step explanation:
-3u = 4+5
-3u = 9
u = -3
7u + 7
7(u +1) = 7(-3+1)
7(-2)
14