What is the answer to the question
Find g(x), where g(x) is the translation 7 units up of f(x)=x2.
Write your answer in the form m(x+a)2+b, where m, a, and b are integers.
g(x)=?
The process of transformation under translation means that
the figure is simply change into another position. That is, the angles, the
lengths or any other characteristic is unchanged except for the position of the
figure in the Cartesian coordinate alone.
We are given the function in the form of:
f(x) = x^2
Which can also be written as:
y = x^2
Since the translation made is to move the figure 7 units up, then this means that the y coordinate is increased by 7. The given equation is a parabola pointing up with vertex at (0, 0). So moving it up would move the vertex at point (0, 7). The vertex of y is represented by the variable b, therefore b = 7 which further gives us the function:
y' = x^2 + 7
or
g(x) = x^2 + 7
What is the degree and classification or the following
8x^2y + 5xy
You need to look at each term and find the degree by adding the exponents of each variable in it. The largest degree is the degree of the polynomial.
8x²y has a degree of 3 (x has an exponent of 2, y has 1, and 2+1=3)The polynomial has 2 terms, so it's binomial ← classification
Consider the following piecewise-defined function, find f(-4)
f(x)=x^2-5,x<3
2x+5,x>3
how to find the density of a unknown liquid, the volume is 12.0mL and the mass is 6g.
To calculate the density of an unknown liquid given its mass of 6g and volume of 12.0mL, divide the mass by the volume, resulting in a density of 0.5 g/mL.
Explanation:To find the density of an unknown liquid with a volume of 12.0mL and a mass of 6g, you need to use the formula for density which is density = mass/volume. Given the mass is 6g and the volume is 12.0mL, you substitute these values into the formula to calculate the density.
Therefore, the calculation would be: density = 6g / 12.0mL = 0.5 g/mL.
This states that the density of the unknown liquid is 0.5 g/mL, which means for every milliliter of this liquid, it weighs 0.5 grams. Understanding the density of a substance can be crucial in identifying it since density is a characteristic property.
A deli sells a sandwich spread for $6.40 per pound how much do you have to pay for 24 ounces of the spread?
In the portion of the shuffleboard court shown above, . What additional piece of information do you need to show that using the SSS similarity theorem?
The additional piece of information to show that ∆RST∼QSU uses the SAS similarity theorem is <SRT≅<SQU.
What is the similarity theorem?The fundamental theorem of similarity states that a line segment divides two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.
In this case, the additional piece of information to show that ∆RST∼QSU uses the SAS similarity theorem is <SRT≅<SQU.
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Seven students—four girls and three boys—have volunteered to direct the class play. Mrs. Barry decides the only fair way to pick a director is to put all of their names in a hat and draw a name. What is the theoretical probability that a boy's name will be chosen? 3/4, 4/7, 3/7, 7/3
Answer:
Seven students—four girls and three boys—have volunteered to direct the class play. Mrs. Barry decides the only fair way to pick a director is to put all of their names in a hat and draw a name. What is the theoretical probability that a boy's name will be chosen? A. 3/7 B.4/7 C. 7/3 D. 3/4
Step-by-step explanation:
A. 3/7 is right
what is 1/4 of 3200?
NEED HELP!!
An electronics store makes a profit of $72 for every standard CD player sold and $90 for every portable CD player sold. The manager’s target is to make at least $360 a day on sales from standard and portable CD players.Write an inequality that represents the numbers of both kinds of CD players that can be sold to reach or exceed the sales target. Let s represent the number of standard CD players and p represent the number of portable CD players
The inequality that represents the numbers of both kinds of CD players that can be sold to reach or exceed the sales target is:
[tex]\[ 72s + 90p \geq 360 \][/tex]
To write an inequality that represents the sales target, we need to consider the profit made from each type of CD player and the total profit required per day.
Let [tex]\( s \)[/tex] represent the number of standard CD players sold, and [tex]\( p \)[/tex] represent the number of portable CD players sold. According to the information given, the store makes a profit of $72 for every standard CD player and $90 for every portable CD player.
The manager's target is to make at least $360 a day from the sales of these CD players. To find out how many of each type of CD player need to be sold to meet this target, we can set up the following inequality:
[tex]\[ 72s + 90p \geq 360 \][/tex]
Here, [tex]\( 72s \)[/tex] represents the total profit from standard CD players, and [tex]\( 90p \)[/tex] represents the total profit from portable CD players. The sum of these two amounts must be greater than or equal to the target profit of $360.
This inequality accounts for all possible combinations of standard and portable CD players that can be sold to meet or exceed the daily profit target. It is important to note that the inequality uses the greater than or equal to symbol [tex](\( \geq \))[/tex] because the store wants to make at least $360, and any amount over that is also acceptable.
Which of the following statements is true?
Question 9 options:
0 < -3.2
-5.9 > 1.2
-2.8 < -7.4
-1.9 > -6.0
What is 42.2% of 635.4 explain how you found your answer
h(x)=|x+2| Find h(-10)
What is the best name for angle Y?
0.91×2.70= 145.70
I know for SURE that this answer is incorrect because I logically know the answer had to be less than 3. I Iined up the decimals and multiplied each digit in 2.70 with each digit in 0.91, and I kept redoing the equation over and over, trying to see what I did wrong but I can't find it. :/
What am I doing wrong and how can I fix that to get the right answer?
The low temperature in Anchorage, Alaska, one day was -9 degrees F. On the same day, the low temperature in Flagstaff, Arizona, was 26 degrees F. Write an inequlity to compare the temperatures.Explainthe meaning of the inequality.
Jacob walked for x miles and then cycled for y miles between his home and the library. the number of miles Jacob cycled was 3 miles more than twice the number of miles he walked. the total number of miles Jacob walked and cycled was 6 miles. how many miles did Jacob walk and cylcle?
Walk: 1
Bike: 5
y=2x+3
x+2x+3=6
3x+3=6
3x=3
x=1
6-1=5
-3x + 2y = 23
5x + 2y = -17
What is 1/8 divided by 5/7
Solve.
(3x)^2 - 7y^2 when x = 3 and y = 2
The width of a rectangle is 8 units less than the length. If the area is 153 square units, then find the dimensions of the rectangle.
A triangle has vertices (-1, 2), (3, 1), and (7, 2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
44 points
The computer store pays its employees $150 per day plus a commission of 15% of their sales. Teagan wants to make at least $450 today. Which equation will help Teagan determine how much he has to sell today?
he makes 150 plus 15% of what is sold
so 150 + 0.15x has to equal at least 450
so the correct answer is B to find out the total he as to sell
You do Time4Learning to?
Help me and show work if needed. Only 24 and 25
25.
answer is B since it is adding he amount of the bill with the amount of the tip.
the other 3 will all calculate just the amount of the tip
26
3x-4 needs to equal or be below 8
rearrange the formula to 3x,=8+4
so 3x<=12
12/3 = 4
so x <= 4 to satisfy the inequality
so answer is A
Factor 12G+4G+4 and
40-10h+9-4h
16g+4
4(4g+1)
49-14h
7(7-2h)
Write the decimal number in standard form
Six and five hundred and sixteen ten-thousandths
The decimal number 'six and five hundred and sixteen ten-thousandths' in standard form is 6.0516, which combines the whole number six with the fractional part written as a decimal. Scientific notation is not necessary here since the number is already reasonably simple.
Explanation:To express the number six and five hundred and sixteen ten-thousandths in standard form, you start by identifying the whole number and the fractional part. The whole number is six, which is straightforward. The fractional part is five hundred and sixteen ten-thousandths, which refers to 516 over 10000. In decimal form, this is written as 0.0516. Combining the whole number with the fractional part gives us the decimal 6.0516. This is the number in standard notation.
Scientific notation simplifies the expression of very large or very small numbers. For example, a large number like 306,000,000 can be written as 3.06 × 108, and a small number like 0.000028 can be expressed as 2.8 × 10-5. However, the number 6.0516 is already concise enough that converting it to scientific notation isn't necessary.
solve for y 7y - 6y - 10 = 13
7y-6y-10=13
7y-6y = y
y-10=13
add 10 to both sides
y = 23
NEED HELP FAST!
(08.02 MC)
Which of the following graphs shows a pair of lines that represents the equations with the solution (2, –5)? (1 point)
If 2/3=x/12 , what is the value of x?
Answer:
the answers 8,just cross multiple and divide.
Step-by-step explanation:
a triangle with side lengths of 32, 60 and 68 is a right triangle?
true or false
The triangle with side lengths of 32, 60, and 68 is a right triangle is true.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We can use the Pythagorean theorem to check if a triangle with side lengths of 32, 60, and 68 is a right triangle:
a² + b² = c²
where a, b, and c are the side lengths of the triangle and c is the hypotenuse.
Plugging in the values, we get:
32² + 60² = 68²
Simplifying:
1024 + 3600 = 4624
So, the equation holds true, which means that the triangle with side lengths of 32, 60, and 68 is a right triangle.
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