Answer:
(4, 14)
Step-by-step explanation:
We are given;
Graph of: y = ax² + c
That it contains point (2, 14)
Now,we want to find which point lies on the graph: y = a(x - 2)² + c.
Now, symbol "a" means the value of horizontal shift because the constants are grouped with x.
If the value of "a" is greater than 0,then it means that the graph shifted to the left by "a" units while if the value of "a" is less than 0,it means the graph shifted to the right by "a" units.
Now, from the 2 graph equations given, and from the principle of graph shifts, we can say that the first graph has shift by 2 units to the right because "a" equals -2.
What this implies is that every point on the graph y = ax² + c shifts by 2 units right.
Thus, the points that lie on the graph y = a(x - 2)² + c are: (x + 2, y)
Thus, points are: (2 + 2, 14) = (4, 14)
Can someone help due in an hour
figure 1 is 130 degrees because a whole line is 180 degrees subtract the 50 boom.
figure 2 is a bit more difficult all together it is 360 y is 30 degrees due to vertical angles and x and z are 150 degrees because 360-60=300 divided by 2 equals 150
figure 3 x is 135 due to vertical angles which makes w and y are 45 because 360-270 equals 90 divide by 2 equals 45
figure 4 is 106 because you add 172 and 82 and then subtract that by 360 there you go. hope this helps you out
5÷6 is 56. What is 16 of 5?
A. 5/6
B. 6/5
C. 1+1/5
D. 1/5 of 6
why does the car turn right to leave me alone
Answer:
The car turns right because the person driving hit the right blinkers and wants to go right.
Step-by-step explanation:
common sense
Finding the original price given the sale price and percent...
At a sale this week, a sofa is being sold for $234. This is a 28% discount from the original price.
What is the original price
Answer:
$325
Step-by-step explanation
78% is 234
x is 100%
cross multiply
[tex]\frac{234}{72}[/tex] = [tex]\frac{x}{100}[/tex]
234 × 100 = 72x
23400 = 72x
23400÷72 =72x ÷72
325 = x
The value of the original price of the sofa would be $325.
Used the concept of percentage that is,
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.
Given that,
At a sale this week, a sofa is being sold for $234.
And, This is a 28% discount from the original price.
Let us assume that the original price = x
Hence, the given condition is written as,
[tex]x - (28\% \ \text{of } x) = 234[/tex]
Solve for x,
[tex]x - (0.28 x) = 234[/tex]
[tex]0.72x = 234\\[/tex]
Divide both sides by 0.72,
[tex]x = \dfrac{234}{0.72}[/tex]
Therefore, the original price would be,
[tex]x = \$325[/tex]
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Please Help! I will give brainlest! It locks soon!
Answer:
Step-by-step explanation:
2cos²θ - 1 - cosθ = 0
(2cosθ + 1)(cosθ - 1) = 0
cosθ = -1/2, θ = 2π/3, 4π/3
cosθ = 1, θ = 0
so answer is 3rd choice
A car dealership reported a five-number summary for the selling prices of the last 28 new cars and the last 28 used cars sold. Which of the following are true? (Remember "can" does not imply that it is the car you "want" to buy.") You can buy a used car for less than a new car. Half the used cars sold for no more than any new car. A quarter of the used cars sold for more than a quarter of the new cars. Half of the new cars sold for more than any used car. A fourth of the new cars sold for more than any used car. The range of prices in used cars is more than the range in prices of new cars.
Answer:
East or west back benchers are best
G=-4. Quickly plzzzz. Evaluate expression :)
Answer:
11
Step-by-step explanation:
16 - | g+9|
Let g = -4
16 - | -4+9|
Evaluate inside the absolute value
16 - | 5|
The absolute value of 5 is 5
16 -5
11
Find the zeros of the function f(x) = 1/3 x^2 + 72
Find the area of the rectangle by using fraction models and using multiplication. What should be true about your answers?
Answer:
7½ ft
Step-by-step explanation:
3¾ × 2
3¾ = 15/4 2= 2/1
15/4 × 2/1
cross multiply so 4 simplifies to 2 and 2 simplifies to 1
15/2 × 1/1 = 15/2
15/2 = 7½ ft
What is the sum of 4mn | 7mn-5mn
Answer: the sum = 8
Step-by-step explanation:
e) A parent's age is 11 more than twice their child's age. The parent is 39 years old.
What equation represents the situation?
Answer:
done
Step-by-step explanation:
2x+11=39
Help asap please!!!
The temperature in Smallville is 30°F one morning. It rises 10 over 5 hours. The equation y = 2x+ 30 was given to represent this situation.
Which of the following tables demonstrates the relationship between the time and temperature in Smallville?
A x 0 1 2 . y 0 2 4
B x 0 1 2 . y 30 32 34
C x 30 35 40 . y 0 1 2
D x 30 32 34 . y 0 1 2
Considering the given linear function, it is found that table B represents the situation.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, the function is given by:
y = 2x + 30.
Hence, the y-intercept is of b = 30, that is, when x = 0, y = 30, and the slope of m = 2 means that when x increases by 1, y increases by 2, hence table B is the answer for this question.
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Which relationships describe angles 1 and 2?
Select each correct answer.
-vertical angles
-complementary angles
-adjacent angles
-supplementary angles
Answer:
supplementary angles
Step-by-step explanation:
both of them combined make the angle 180°
5+5=?...........................
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
because yes
If the third term of geometric series is 3, find the product of its first five terms.
Answer:
Solution
Third term of G.P.=ar2=3
General term =arn−1
Product of first five terms =a5⋅r0+1+2+3+4
=a5r10=(ar2)5
=(3)5
=243.
A line passes through the points (-3, 7) and (6, 4). Which shows the graph of this line?
Answer:
y=-1/3x+6 is the equation of the graph so just use this to find the graph
Step-by-step explanation:
Answer:
where are the images
Step-by-step explanation:
what is the measure of
Answer:
56
Step-by-step explanation:
Like I said, all the angles of a triangle ALWAYS add up to 180 degrees (which is a straight angle). It might seem like they don't give angle A for us, but we can see that angle A is a right angle, which is 90 degrees. So, we can add 90 and 34 degrees, and then subtract that from 180.
90 + 34 = 124
180 - 124 = 56
I hope this helps! Have a lovely day! :)
Which of the following equations will produce the graph shown below?
y = 1/2 x² => C
we can see the point ( 2 ; 2)
x = 2
y = 1/2 * 2² = 1/2 * 4 = 2
f(x) = 2x + 3 and g(x) = –x^2 + 5, find f(1) and g(1)
Answer: dont you need like a picture or sum to find g1 or something?
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(1)= 2(1)+3= 2 + 3 =5
g(1)= -1^2 + 5 = -1 + 5 = 4
A company has 15 employees with a salary of $22,000, 12 employees with a salary of $23,100, 16 employees with a salary of $26,300, 4 employees with a salary of $30,100, 4 employees with a salary of $39,000, and 1 employee with a salary of $148,500.
Find the mean salary for the employees
The mean is $5,563.56
What is Arithmetic mean?
Arithmetic mean is also called average it is calculated by summing the values then dividing by the number of sets
(22,000 + 23,100 + 26,300 + 30,100 + 39,000 + 148,500) / (15 + 12 + 16 + 4 + 4 + 1)
= 289,300 / 52
= 5563.46
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Graph line y=-2x+5 with no x
Answer:
Step by Step Solution
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(-2*x+5)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve y+2x-5 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y+2x-5 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000
y-intercept = 5/1 = 5.00000
Calculate the X-Intercept :
When y = 0 the value of x is 5/2 Our line therefore "cuts" the x axis at x= 2.50000
x-intercept = 5/2 = 2.50000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - 5.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -4.000/2.000 = -2.000
Geometric figure: Straight Line
Slope = -4.000/2.000 = -2.000
x-intercept = 5/2 = 2.50000
y-intercept = 5/1 = 5.00000
1 Matt runs in the park every day at the average rate of c meters per minute.
Today Matt ran at triple his usual speed. What was his speed today?
2 Matt runs in the park every day at the average rate of c meters per minute.
If Matt runs triple his regular speed for 20 minutes, what distance would he cover?
3Matt runs in the park every day at the average rate of c meters per minute.
During these 20 minutes, Matt covers 2400 meters. Use this information to write an equation.
Answer:
The answer for the first one is 3c
Step-by-step explanation:
Because it is 3·c
Answer:
1. 3c
2. 3c·20
3. 3c·20=2400
Step-by-step explanation:
Here! Hope I could help :)
i need help with the first one
Answer:
Relative minimum:
(1, - 9)
Answer:
relative minimum
(1,- 9)
Which statement best describes a cause and effect structure of a speech?
o It discusses similarities and differences between two different topics,
O It shows the challenges of a topic and explains how the issue can be solved.
O It provides the audience with the order in which events happened.
o It presents the reasons something happened and describes the result.
Answer:
Fourth option
Step-by-step explanation:
Cause and effect all starts with a reason for a certain event, for example perhaps a group of children going into an abandoned house that is rumored to be "haunted", which caused an effect. So, in this case the children going into an abandoned house that is rumored to be haunted (cause) which then lead into a result, a ghost started to chase them around the house in till they could manage an escape. (effect) Although creating a very good story for us to read, cause and effect has real life examples. The answer is the fourth option or "it presents the reasons something happened and describes the result."
Hope this helps.
Suppose you take a random sample of 30 students who are using a new math text and a second sample of 30 students who are using a more traditional text. You compare student achievement on the state test given to all students at the end of the course. Based on state test performance, would you recommend the new math book?
Answer:
a second sample of 30 students who are using a more traditional text. You compare student achievement on the state test given to all students
Step-by-step explanation:
Use a model to divide. 4/5 divided by 6 Express the answer in simplest terms. 2/30 2/15 5/30 1/15
Answer:
2/30 or 5/30
Step-by-step explanation:
The simplest form of the expression is 1/6.
We have,
The concept used to solve the division problem 4/5 divided by 6 is the idea of dividing a fraction by a whole number.
To divide a fraction by a whole number, we can interpret it as finding a fraction of a fraction.
In this case, we want to find 4/5 divided by 6, which can be understood as dividing the fraction 4/5 into 6 equal parts.
To use a model to divide 4/5 by 6, we can represent 4/5 as a fraction bar and divide it into 6 equal parts.
If we divide the fraction 4/5 into 6 equal parts, each part would represent 1/6 of the original fraction.
Therefore,
The simplest form of the expression is 1/6.
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A decimal is never a rational number
True or False
Answer: False
Step-by-step explanation: this is false because Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. ... So, any terminating decimal is a rational number.
On the third day, Anna and Tamara traveled well into the night and double their travel time. On the fourth day, Anna and Tamara lost 4 hours because Anna got sick. Write an algebraic expression that represents how many hours Anna and Tamara travel the last two days.
9514 1404 393
Answer:
3t -4
Step-by-step explanation:
If t represents their normal travel time (in hours), Anna and Tamara traveled 2t on the third day, and t-4 on the fourth day.
The number of hour traveled in the last two days (day 3 and day 4) are ...
2t +(t-4) = 3t-4
Which option is equivalent to log 7 - log 2? A. log 5 B. log 7 C. log 9 D. log 7^2
Angie opened a bank account She deposited $225 each
month for 4 months. Her bank charged her $5 each month
to use the account
How much money is in Angie's account after 4 months?
A $880
B. $920
C. $205
D. $220
Answer:
A $880
Step-by-step explanation:
Answer:
a
Step-by-step explanation: