Answer:
x = -12
Step-by-step explanation:
x-2(x+1)+3(x+2) = x-4 (equation)
x-2x+2+3x+6 = x-4 (simplify)
2x+8 = x-4 (combine like terms)
x+8 = -4 (subtract x from both sides)
x = -12 (subtract 8 from both sides)
A hot air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate.
Which table shows the relationship between the time in seconds, x , and the height of the balloon in feet, y?
Answer: D
Step-by-step explanation:
If after 5 seconds the height was 20 feet then in 10 seconds it will be 40 feet and in 20 seconds it will be 80 seconds.
To get from 5 to 10 you multiply by 2
To get from 20 to 40 you multiply by 2.
Since you have a constant change then it works for D only.
The linear equation that represents the height of the balloon at a time will be y = 4x. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
A hot air balloon is launched from the ground and climbs into the air at a consistent velocity. The balloon's elevation is 20 feet after 5 seconds. The balloon keeps rising at the same rate.
The height per second is given as,
m = 20 / 5
m = 4 ft/sec
Then the equation is given as,
y = 4x
At x = 10 sec, then the value of y will be
y = 4 (10)
y = 40 ft
At x = 20 sec, then the value of y will be
y = 4 (20)
y = 80ft
The linear equation that represents the height of the balloon at a time will be y = 4x. Then the correct option is D.
More about the linear equation link is given below.
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Find the remainder when x^2 + 3x - 11 is divided by x - 2
-13
1
-1
-11
Answer: -1
Step-by-step explanation: I just took a quiz with this question on it and -1 is the right one
PLEASE HELP ASAP!! I WILL GIVE BRAINLIEST FOR FASTEST AND CORRECT ANSWER!!!!
(IF YOU ONLY ANSWER FOR POINTS I WILL REPORT YOU :)
Line segment AB is shown on a coordinate grid:
1.) A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment AB is shown with A as ordered pair 1, 3 and B as ordered pair 5, 3.
The line segment is reflected about the y-axis to form A′B′. Which statement describes A′B′?
A. A′B′ is half the length of AB.
B. A′B′ and AB are equal in length.
C. A′B′ is greater than twice the length of AB.
D. A′B′ and AB are perpendicular.
2.) Line segment CD is shown on a coordinate grid:
A coordinate plane is shown. Line segment CD has endpoints 1 comma 2 and 1 comma negative 1.
The line segment is rotated 90 degrees counterclockwise about the origin to form C′D′. Which statement describes C′D′?
A. C′D′ and CD are equal in length.
B. C′D′ is parallel to CD.
C. C′D′ is half the length of CD.
D. C′D′ is greater than twice the length of CD.
3.) A shape is shown on the graph:
A coordinate plane is shown. Triangle ABC has vertices 3 comma 0, 3 comma negative 3, and 1 comma negative 3.
Which of the following is a reflection of the shape?
A.) A coordinate plane is shown. A triangle has vertices 3 comma 0, 1 comma 0, and 3 comma 3.
B.) A coordinate plane is shown. A triangle has vertices 2 comma 4, 2 comma 1 and 4 comma 4.
C.) A coordinate plane is shown. A triangle has vertices negative 1 comma 0, negative 1 comma negative 3, and negative 3 comma negative 3.
D.) A coordinate plane is shown. A triangle has vertices at negative 3 comma 0, negative 3 comma negative 3, and negative 1 comma negative 3.
A rotation is shown in the drawing:
A blue triangle is shown labeled Figure K. A dotted line shows a right turn to a green triangle labeled Figure K prime. The new image is directly above the original.
Which statement best describes the rotation?
A. Clockwise 90-degree rotation
B. Clockwise 180-degree rotation
C. Counterclockwise 90-degree rotation
D. Counterclockwise 180-degree rotation
Answer:
1) choice B, they are equal in length
2) choice A, theyre equal in length
3) Choice D, (-3,0) (-3, -3) (-1, -3)
4) Choice A, Clockwise 90- degree rotation
Step-by-step explanation:
The statements which describe A'B' is:
A'B' and AB are equal in length ⇒ (B)
Step-by-step explanation:
Let us take about reflication:
⇒ Reflections are mirror images, means the shape or the size of
the figure does not affect by reflection, think of "folding" the
graph over the y-axis or the x-axis
⇒ On a grid, you used the formula (x, y) → (-x, y) for a reflection in
the y-axis and used the formula (x, y) → (x, -y) for a reflection in
the x-axis.
In our question segment AB, where A = (1, 3) and B = (5, 3) is
reflected about the y-axis
By using the rule above
∴ A' =(-1, 3)
∴ B' = (-5,3)
∵ Reflection does not change the shape or the size of the original figure
∴ Line segment A'B' has the same length of line segment AB
The correct answer is:
A'B' and AB are equal in length
You can check your answer by finding the lengths of AB and A'B'
∵ The length of AB = 5 - 1 = 4 units
∵ The length of A'B' = -1 - (-5) = -1 + 5 = 4 units
∴ AB = A'B'
Note:
If the y-coordinates of two points are equal, then the line joining them is horizontal and its length is the difference between the x-coordinates of the two points.
y = 15 when x = 60, find y when x = 45
Answer:
y=0
Step-by-step explanation:
Answer: y = 30
hope it helps!
Retha is building a rock display for her science project. She put 72 rocks in the first row, 63 rocks in the second row, and 54 rocks in the third
row.
If the pattern continues, how many rocks will she use in the sixth row?
OA. 54
OB. 45
O c. 36
O D. 27
O E. 18
Answer:
b
Step-by-step explanation:
-f(a) Think of this as “the opposite of f(a).”
-f(a)=
F) does f(3)=f(-3)? (Yes or No)
D) does f(a) = f(-a)? ( Yes or No)
Answer:
F) yes
D)no
no
bfhdfthjfyktyrztjkgtwfhdhdgdrdrdth
42 is 84% of what number
Answer:
50
Step-by-step explanation:
Because 84% out of 50 is 42
A mall is designing an outdoor space. The available space is 127 feet by 46 feet. The
plan is for a grassy section with a width of 40 feet. Next to the grass will be a cement
sidewalk with a width of 6 feet. What is the area of the available space in square feet?
Answer:
5882
Step-by-step explanation:
Answer:
5842
Step-by-step explanation:
The grass and sidewalk is extraneous information (not needed) since it only asks for the available space total. so 127 x 46
One number is 4 more than three times a smaller number. If twice the lager number is decreased by three times the smaller number, the result is 32. Write an equation and solve to determine the numbers.
help me solve:
-15x + 4 ≤ 34 AND -6x + 70 > -2
Answer:
-2 ≤ x < 12
Step-by-step explanation:
-15x +4 ≤ 34
Add 15x-34 to both sides
-30 ≤ 15x
Divide by 15
-2 ≤ x
__
-6x +70 > -2
Add 6x +2 to both sides
72 > 6x
Divide by 6
12 > x
__
The two solution spaces overlap. Since the AND of the two inequalities is involved, the solution of both is just that part of the number line where there is overlap.
The solution is ...
-2 ≤ x < 12
Given the following expression. 2 1/4 - (-3 2/5) A. Rewrite the expression using addition. B. Evaluate the expression.
Answer:
[tex]2\frac{1}{4} + 3 \frac{2}{5}[/tex]
Step-by-step explanation:
[tex]2\frac{1}{4} - (-3 \frac{2}{5}[/tex][tex])[/tex]
However, - × - equals +
[tex]2\frac{1}{4} + 3 \frac{2}{5}[/tex]
a triangle has the following two angle measures:
based on the angles given the third angle must have a measure of _______?
Answer:
62°
Step-by-step explanation:
Given that the triangle has two angle measures of 41° and 77°.
All the angles in a triangle must add up to 180° (e.g. 20° + 60° + 100°). So we write a simple equation to solve for the mystery angle measure:
Let x = the missing measure
[tex]41 + 77 + x = 180[/tex]
Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation: [tex]118 + x = 180[/tex]
Then we subtract 118 from both sides to isolate x - this will give us the value of this variable: [tex]x = 62[/tex]
Therefore, the third angle must have a measure of 62°.
Jake lives 15 times as far away from the mountains as Larry. If Larry lives 32 miles from the mountains, how many miles from the mountains does Jake live?
Answer:
480 miles
Step-by-step explanation:
if I join the gym for a start up fee of $40 and a monthly fee of $10, what is the range?
The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in the ratio is 10, what is the second number?
Answer:
10:40
Step-by-step explanation:
What’s the midpoint of GO on a number line from -4 to 4
Answer:
midpoint is 0
Step-by-step explanation:
Evaluate -2x^2 2y, if x = -3 and y = -1.
ANSWER is 16.
look at the photo to see the step by step equation :)
Jane builds toy trains that have 5 train
cars each. She uses 20 train cars in all.
How many toy trains does Jane make?
toy trains
Answer:
Here's how to solve it.
Step-by-step explanation:
Okay,
from what I understand she has 20 train cars total.
She uses 5 for each train.
So to solve you use simple division.
20 / 5 = 4
To check your answer substitute 4 in the equation so 4 × 5 does equal 20.
So it would be 4.
8n + 4(1+5n) = -6n -14
Answer:
n = -.55
Step-by-step explanation:
8n + 4(1+5n) = -6n -14
8n + 5+20n = -6n -14
28n + 5 = -6n -14
34n + 5 = -14
34n = -19
n = -.55
Answer:
34n = -18/ 17n = 9
Step-by-step explanation:
Multiply (1+5) by 4. Combine like terms. Divide.
a basketball weights approximately 1.35kg what is this mass in grams
Answer:
1350
Step-by-step explanation:
Answer:
1,350 grams is the answer.
solve for y
7x-5y=17
Answer: 7*x-5*y-(17)=0
Step-by-step explanation:
A local jewelry store sells class rings. The store engraves a name and date on the ring and sells it using a markup rate of 340%. Write an equation that can be used to find the amount of markup y on the cost of a ring x.
The proportional equation that can be used to find the amount of markup y on the cost of a ring x is given by:
[tex]y = 3.4x[/tex]
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:[tex]y = kx[/tex]
In which k is the constant of proportionality.In this problem, the markup rate is of 340%, hence [tex]k = \frac{340}{100} = 3.4[/tex].
Then, the equation is:
[tex]y = 3.4x[/tex]
You can learn more about proportional equations at https://brainly.com/question/25067191
PLEASE HELP!!
Which graph shows a reflection of the rectangle across the horizontal dotted line?
Answer:
B
Step-by-step explanation:
The answer is B because if its being reflected its like symmetry horizontally
Sorry if this made no sense :c
Have a good day!
The correct option is Option D: The figure in Option D is reflection about the dotted horizontal line.
What is reflection?Reflection is the geometrical transformation of the figure about an axis, without changing the size and shape of the image in which every point is at same distance from the axis as in the reflected image.
Here the original image is in the 2nd quadrant.
the reflection axis is horizontal and situated in the 3rd and 4th quadrants.
So by reflecting about that axis without changing the size and shape of the image for which the distance of the original image from the axis will be equal to the distance of the reflected object from the axis.
As original image is in the 2nd quadrant the reflected will be drawn at the 3rd quadrant opposite to the original image.
Checking all the options only in Option B and option D have the reflected image at the 3rd quardant. But in Option B the reflected image is situated on the reflection axis which is against the rule of reflection.
Therefore The correct option is Option D: The figure in Option D is a reflection about the dotted horizontal line.
Learn more about reflection
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The function 1=21.55 cos m-7 +43.75models the average high temperature in degrees Fahrenheit each month b throughout the year in Anchorage, Alaska, where m 1 for January and m 12 for December. Approximate y how many nmonths is the average high temperature above freezing (32 F)?
Answer:
8
Step-by-step explanation:
The number of months that having average high temperature above freezing (32 F) is approximately for 3 months.
What is a function?A function is defined as a relation between a set of inputs having one output each. It is a set of permissible outputs with the property that each input is related to exactly one output.
For the given situation,
The function is [tex]t=21.55 cos(\frac{\pi }{6}(m-7) )+43.75[/tex]
The temperature for months are calculated using the function t.
Here m = 1 refers January,
m = 2 refers February and so on.
Now substitute m = 1 for January,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(1-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-6) )+43.75[/tex]
⇒ [tex]t=22.2[/tex]
For February m = 2,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(2-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-5) )+43.75[/tex]
⇒ [tex]t=25.08[/tex]
For march m = 3,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(3-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-4) )+43.75[/tex]
⇒ [tex]t=32.9[/tex]
For April m = 4,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(4-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-3) )+43.75[/tex]
⇒ [tex]t=43.75[/tex]
For May m = 5,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(5-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-2) )+43.75[/tex]
⇒ [tex]t=54.525[/tex]
For June m = 6,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(6-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-1) )+43.75[/tex]
⇒ [tex]t=62.41[/tex]
For July m = 7,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(7-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(0) )+43.75[/tex]
⇒ [tex]t=65.3[/tex]
For August m = 8,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(8-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(1) )+43.75[/tex]
⇒ [tex]t=62.41[/tex]
For September m = 9,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(9-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(2) )+43.75[/tex]
⇒ [tex]t=54.525[/tex]
For October m = 10,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(10-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(3) )+43.75[/tex]
⇒ [tex]t=43.75[/tex]
For November m = 11,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(11-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(4) )+43.75[/tex]
⇒ [tex]t=32.975[/tex]
For December m = 12,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(12-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(5) )+43.75[/tex]
⇒ [tex]t=25.087[/tex]
Thus from the above temperatures of each month, the temperature for three months are less than 32°F.
Hence we can conclude that the number of months that having average high temperature above freezing (32 F) is approximately for 3 months.
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Find the missing measure x° 65°
When negative five is subtracted from a number the result is 10. Find the number.
15
5
-5
-15
In June, Clarissa used 115 gigabytes of data on her cell phone. Given that June has 30 days, how much data did she use on average per day?
Answer:
3.8333333333...
Step-by-step explanation:
you take how many gigabytes (115) and divided it by the 30 days, giving you 3.833333333...
Question 5
Given the sequence, 35, 32, 29, 26, 23, ...
Find the following:
a1 =
Answer:
a1 = 2
Step-by-step explanation:
what does a1 mean?
35, 32 29, 26, 23, 20 , 17, 14, 11, 8, 5, (2)
Write the exponent for the expression.
3x3
Answer:
First, rewrite the expression as:
3
x
3
×
1
8
Next, use this rule of exponents to rewrite the expression again as:
x
a
×
b
=
(
x
a
)
b
3
x
3
×
1
8
⇒
3
(
x
3
)
1
8
Now, use this rule of exponents to write the expression as a radical:
x
1
n
=
n
√
x
3
(
x
3
)
1
8
=
3
8
√
x
3
Step-by-step explanation:
Step-by-step explanation:
it is 3 to the power of 3 or 3 with a tiny three next to it. The answer to 3 to the power of three is 27. 3x3=9 9x3=27
Solve for y
2y + 6 = 1 - 3y
Answer:
-1
Step-by-step explanation:
2y+6=1 -3y
add three to both sides and minus 6 from both sides becasue you want to get y by itself
5y=-5
now both sides by 5
y=-1
Answer:
y=−1
Step-by-step explanation:
2y+6=1−3y
Step 1: Simplify both sides of the equation.
2y+6=1−3y
2y+6=1+−3y
2y+6=−3y+1
Step 2: Add 3y to both sides.
2y+6+3y=−3y+1+3y
5y+6=1
Step 3: Subtract 6 from both sides.
5y+6−6=1−6
5y=−5
Step 4: Divide both sides by 5.
y=−1