please refer to the image below!!

Answers

Answer 1

The expression of f(x) = -2x² - 10 which is h(x) = -2x² - 6 would be vertically upward by 3 units, it becomes the graph of a function for f(x).

What is a function?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The function h is defined as follows.

h(x) = -2x² - 6

If the graph of his translated vertically upward by 3 units, it becomes the graph of a function for f(x)

To determine the expression for f(x).

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit, add 1 to the function

If shift down by 4 units, subtract 4 from the function

Here h + 4 because adding 2 to the h coordinate would shift it up 2

⇒ h(f(x)) = ( x, y +4 )

⇒ f(x) + 4 = -2x² - 6

⇒ f(x) = -2x² - 6 -4

⇒ f(x) = -2x² - 10

Hence, the expression of f(x) = -2x² - 10 which is h(x) = -2x² - 6 would be vertically upward by 3 units, it becomes the graph of a function for f(x).

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Related Questions

Anyone know the answer

Answers

The length of the interval AB is 7.21 units.

Given,

From the graph we can have the triangle ABC.

Length of side AC = 6 - 2 = 4 units

Length of side BC = 7 - 1 = 6 units

We have to find the length of AB.

By using Pythagorean theorem we can determine the length of AB.

Hypotenuse² = Altitude² + Base²

AB² = AC² + BC²

AB² = 4² + 6²

AB² = 16 + 36

AB² = 52

AB = [tex]\sqrt{52}[/tex] = 7.21

That is, the length of the interval AB is 7.21 units.

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f(n) = -3(n - 1); -51

Answers

Answer: n=18

Step-by-step explanation:

f(n) = -3(n - 1); -51

-51=-3(n - 1)

-51/(-3)=-3(n - 1)/(-3)

n-1=17

n+1-1=17+1

n=17+1

n=18

At a baseball game, a $5.76 hot dog meal is worth $2.50 more than a tray
of nachos with cheese. How much does the tray of nachos cost?

Answers

The nachos are $3.26

455 times 6 step by step

Answers

Answer: 2,730

Step-by-step explanation:

Explained in mental math proccess:

In 455, the one value will be multiplied by 6. 5x6= 30.

In 455, the tens value will be multiplied by 6. 50x6= 300.

In 455, the hundreds value will be multipled by 6. 400x6= 2,400.

Find the sums of all products multiplied by 6. 30+300+2,400= 2,730.

455x6= 2,700

Can someone please help me with this it’s pre-Calc

Answers

So the x of the vertex is -b/2a which is -6/-2 which is 3. -2*9+6*3+12 is 18+18+12 so the vertex is (3, 48). The vertical intercept is 12.

In 1995, the standard bus fare in a city was $1. In 2022, the standard bus fare was $2.25. Find the percent
increase. (Round to the nearest tenth of a percent.)
Answer:
Submit Question

Answers

I assume what was meant was $1.50 for the original value here because it is the only solution that would make sense for this case. There was a 50% increase from 1995 to 2022.

The formula for percent change is:

New value - old value / old value

Given the formula, we can set up an equation:

2.25 - 1.50 = 0.75

0.75 / 1.50 = 0.50

Therefore, the percent change would be 50% if $1.50 was meant here.

What value of x makes this equation true?

x/2 − 6 = 10

Drag and drop the number that correctly completes the equation.

x = blank

30 31 32 33 34

Answers

The answer is 32 because 32/2 is 16 and 16 minus 6 is 10

What is the equation?

Answers

Answer:

Answer = (2)n+(2)

Step-by-step explanation:

As the first step try to examine the distribution on both sides carefully.And as a general rule of thumb, try calculating the difference between 2 consecutive terms on "OUT" side. (if the difference is the same for every 2 consecutive terms, then the distribution is arithmetic)In this case it is (-4) - (-2) = -2.After that, try writing the first OUT term in terms of both that difference (most of the time difference comes in multiplication with n) and the first term on IN side.If that cannot be achieved in one go, then either add or subtract a suitable amount of value. it is as follows,

first difference = -2

Now, -2 = -2 × (n) + (0) if n = 1

or -2 = -2 × (n) + (-6) if n = -2

or -2 = |-2| ×(n) + 2 :::: -2 = 2n +2 if n = -2

Now all the 3 arrangements are okay but except for the third one, others do not comply with higher terms in the distribution.Therefore, the third one turns out to be the correct arrangement.

Evaluate x²-5xy for x = -3 and y = -2

Answers

Answer: -21

Step-by-step explanation:

x = -3 and y = -2

x²-5xy=

(-3)²-5(-3)(-2)=

9-5(-(-6))=

9-5(6)=

9-30=

-(30-9)=-21

Paint costs 29.95 per gallon raheim needs 13.25 gallons to complete a painting project how much will Raheim spend on paint

Answers

Answer:

$396.84

Step-by-step explanation:

To solve for this question, we can use the formula:

Cost of Paint per Gallon × Amount of Paint needed in Gallons

Cost = $29.95 per gallon x 13.25 gallon

= $396.84 (Rounded off to 2 decimal places)

Answer:

$396.84

Step-by-step explanation:

We can set up this equation

29.95*13.25

Multiply

396.8375

Round

$396.84

Need help with median question here

Answers

Answer:

36.5 is median Temperature for girls

Step-by-step explanation:

Let's first calculate the median Temperature for boys to show you how it is done;

Below are the Temperature, they are not in ascending order

37.0,36.1,37.1,37.3,36.3,36.4,36.7,36.7,36.7,35.8

Now let's arrange them in ascending order

35.8, 36.1, 36.3, 36.4, (36.7, 36.7, )36.7, 37.0, 37.1, 37.3

In the middle are 36.7 and 36.7 as seen in the bracket

to find median = 36.7+36.7/2

➟ 73.4/2

➟ 36.7

∴36.7 is median Temperature for boys

Now that I've shown you example with boys temperature let's go find the actual temperature which is girls

Below are temperature for girls

34.7,35.8,35.9,36.2,36.4,36.6,36.6,36.8,36.8,36.9

Let's arrange them in ascending order

34.7, 35.8, 35.9, 36.2,( 36.4, 36.6, )36.6, 36.8, 36.8, 36.9

In the middle are 36.4 and 36.6 as seen in the bracket

to find median = 36.4+36.6/2

➟ 73/2

➟ 36.5

∴36.5 is median Temperature for girls

I need help, please I been doing this all day!!

Answers

your answer is 34 just did thatttttt

Write an equation of the line passing through the points (3,10) and (-2,-20)

Answers

Answer: y=6x−8

Step-by-step explanation:

true or false?????????????????

Answers

The equation: 1/2 + 1/6 = 2/3

Is true.

Is the equation true or false?

Here we have the equation:

1/2 + 1/6 = 2/3

First, we need to find a common denominator for the two fractions, if we multiply and divide the first one by 3 we get:

(3/3)*(1/2) = 3/6

Replacing that in the equation:

3/6 + 1/6 = 2/3

4/6 = 2/3

Now we can simplify the fraction in the left by dividing both numerator and denominator by 2:

4/6 = 2/3

2/3 = 2/3

Thus, the equation is true.

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Given b = −14.

Which equation is true?

b/2 + 7.4 = 1.4

2b + 8 = 20

-28 +2b =53

b/7 + 18 =16

Answers

Answer:

D) b/7 + 18 =16

Step-by-step explanation:

Let's solve your equation step-by-step.

b/7+18=16

Step 1: Simplify both sides of the equation.

1/7b+18=16

Step 2: Subtract 18 from both sides.

1/7b+18−18=16−18

1/7b=−2

Step 3: Multiply both sides by 7.

7*(1/7b)=(7)*(−2)

b=−14

Help please with my math

Answers

A= final amount
P= initial principle balance
r= annual interest rate
t=Time in years

A=
P=12,900
r=2.56/100=0.0256
t=7

Formula is A=P(1+rt)

And substitue those numbers in:

A=12900(1+0.0256*7)
=15211.68

Please I need help with this my teachers video wont work and I need this to be submitted by today.

Answers

From the given stem-and-leaf plot, we have that:

a) The maximum number of cups of coffee sold on a single day is of 78.

b) In 5 days, less than 60 cups were sold.

c) The average sales is of 65 cups of coffee a day.

What is the missing information?

The questions are missing, and they are given by the image at the end of the answer.

What is a stem-and-leaf plot?

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

Considering the key in this problem, the measures(number of cups of coffee sold each day) are given as follows:

50, 52, 58, 59, 60, 63, 63, 65, 69, 69, 72, 75, 77, 78.

Hence:

a) The maximum number of cups of coffee sold on a single day is of 78.

b) In 5 days, less than 60 cups were sold.

The average of a data-set is given by the sum of all observations in the data-set divided by the number of observations, hence:

M = (50 + 52 + 58 + 59 + 60 + 63 + 63 + 65 + 69 + 69 + 72 + 75 + 77 + 78)/14 = 65.

The average sales is of 65 cups of coffee a day.

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The formula to convert Celsius to Fahrenheit is F=9/5c+32. Convert 45F- to Celsius. Round to the nearest degree. O A. 49°C O B. 7°C O C. -1°C O D. 113°C

Answers

(45°F − 32) × 5/9 = 7.222°C
Therefore B is correct

A car dealership sells SUVs and passenger cars. For a recent year, 30 more SUVs were sold than passenger cars. If a total of 540 vehicles were sold, determine the number of each type of vehicle sold.

Answers

The number of each type of vehicle sold are :

SUVs : 300

Passenger cars : 270

Number of SUVs were sold more than passenger cars = 30

Total number of cars sold = 540

Let the number of Passenger car sold = x

Then, The number of SUVs sold = x + 30

So, Total number of cars sold = Number of Passenger car sold + Number of SUVs sold

540 = x + (x + 30)

2x + 30 = 540

2x = 540

x = 540/2

x = 270

We got, the number of Passenger car sold (x) = 270

The number of SUV's sold = x + 30

The number of SUV's sold = 270 + 30 = 300

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In a lab experiment, 5300 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 10 hours. How many bacteria would there be after 12 hours, to the nearest whole number?

Answers

There will be roughly 12,000 bacteria after 12 hours.

What are mathematical operations?A mathematical "operation" is the process of calculating a value using operands and a math operator. The math operator symbol contains predefined rules that must be applied to the given operands or numbers. A mathematical expression is a collection of numbers and operations.

So, there are 5300 bacteria and it gets doubles in 10 hours:

Then,

5300 + 5300 = 10,600 (In 10 hours)5300 × 1/5 = 1060 (In 2 hours)In 12 hours = 10,600 + 1060 = 11,660After rounding off: 12,000

Therefore, there will be roughly 12,000 bacteria after 12 hours.

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together, two apples have 1/5 gram of fat. haw many apples have a total of 4 grams of fat?

Answers

Given 2 apples have 1/5 grams of fat, we can set up an equation:

4 / 1/5 = 20

20 apples have 4 grams of fat because:

20 • 1/5 = 20/5

20/5 can be reduced to 4 wholes. Therefore, 20 apples have a total of 4 grams.

Given g (x) =3^2+2x-4, find g(1.5)

Answers

Answer:

Step-by-step explanation:

[tex]g(x)=3^2+2x-4=5+2x \\ \\ g(1.5)=5+2(1.5)=8[/tex]

Find the smallest number by which 6300 must be multiplied to make it a perfect
square.

Answers

To get a perfect square, the smallest number to be multiplied by 6300 is 7.

Multiplication is the process of calculating the result when a number is taken times. Each of the numbers is referred to as a factor of the product, which is the outcome of a multiplication.

Consider the number 6300 which can also be written as:

6300 = 2 × 2 × 3 × 3 × 5 × 5 × 7

Now, 2, 3, and 5 are in pairs. Only 7 is not in pair.

Now, we will multiply 6300 by 7.

Then,

6300 × 7 = 44100

Therefore, the number 44100 is the number that makes the perfect square.

Let's say x² = 44100,

Taking square root on each side of the equation:

x² = 44100

√x² = √44100

x = √[ 21 × 21 × 10 × 10 ]

x = 210

Therefore the smallest number by which 6300 is multiplied to get a perfect square is 7.

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find(-18)+(-15)+10 ..........

Answers

Answer:

-23

Step-by-step explanation:

Just add left to right

2. What does it mean if P(-4) for the polynomial function P(x) = x3 + 11x²
+34x + 24 equals zero?

Answers

Answer:

It means that the -4 is one of the solutions for this polynomial. In other words, -4 is a point in the x axis of the graph where the function touches said axis.

The value of the polynomial at P(-4) will be 0.

What is a polynomial?

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Given that the polynomial function is P(x) = x³ + 11x² + 34x + 24. The value of the function at P(-4) will be calculated as:-

P(x) = x³ + 11x² + 34x + 24

P(-4) = (-4)³ + 11(-4)² + 34(-4) + 24

P(-4) = -64 + 176 - 136 + 24

P(-4) = 200 - 200

P(-4) = 0

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DETERMINE WHETHER THE LINES ARE PARALLEL, PERPENDICULAR, OR NEITHER
5X+2y=14 AND y=-5x+9

Answers

The lines are neither, nor perpendicular

How to determine the relationship?

The equations of the lines are given as

5x + 2y = 14

y = -5x + 9

Make y the subject in both equations

So, we have

y = -2.5x + 7

y = -5x + 9

The slopes of the above equations are

m1 = -2.5

m2 = -5

The above slopes are neither equal not opposite reciprocals

Hence, the lines are neither, nor perpendicular

Answers

Answer: [tex]\frac{1}{\sqrt{2}}[/tex]

Step By Step Explanation:

[tex]=\frac{2\sqrt{2}}{2\cdot \:2}[/tex]

[tex]=\frac{\sqrt{2}}{2}[/tex]

[tex]=\frac{\sqrt{2}}{\sqrt{2}\sqrt{2}}[/tex]

[tex]=\frac{1}{\sqrt{2}}[/tex]

It’s 0.25 because of the divided sign twice

5 3/8 as a whole number

Answers

Answer:

Exact Form: 43/8

Decimal Form: 5.375

Rounding to the Nearest whole number: 5

5.3 ………………………………………..

what is 2,722 rounded to the nearest thousand

Answers

The 2,722 to the nearest thousand is 3000.

In the given statement is :

What is 2,722 rounded to the nearest thousand

Number is => 2722

Number at thousand place is = 2Now, we need to find the digit at the right side of thousand place = 77 is greater then or equal to 5, now we have to increase the thousand place digit by 1. => 2 + 1 = 3Now after rounding digit 3, all numbers at the right side becomes zero, then rewrite the numbers.

Hence, the 2,722 to the nearest thousand is 3000.

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if z=10, find the value of z raised to 3-3(z-10)

Answers

The value of the expression when z = 10 is 1000

How to evaluate the expression?

The given parameters are

z = 10

z^3 - 3(z-10)

Substitute z = 10 in z^3 - 3(z-10)

So, we have

10^3 - 3(10-10)

Evaluate the expression

10^3 - 3(10-10) = 1000

hence, the value of the expression when z = 10 is 1000