The difference between the high and low temperatures one day was 26°F. The low was 64°F. find
the high temperature.

A. 38
B. 2
C. 90
D. 1664

Answer:

range={19, 11, -13}

Step-by-step explanation:

The range is what you get when you plug in the number. In this case, the range is the y values.

y=7-4(-3)=7+12=19

y=7-4(-1)=7+4=11

y=7-5(5)=7-25=-13

Answer:

x=74.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 22 = 30/x

x tan 22 = 30

x = 30/ tan 22

x=74.25260

To the nearest tenth

x=74.3

Answer: x=5 and 1/2

Step-by-step explanation:

You have to go to a graph and put it simply it, makes it a lot easier, hope this helps!

Steps to solve:

2x^2 + 5 = 11x

~Subtract 11x to both sides

2x^2 - 11x + 5 = 0

~Factor

(2x - 1)(x - 5) = 0

~Solve each factor

2x - 1 = 0

2x = 1

x = 1/2

x - 5 = 0

x = 5

Best of Luck!

A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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Answer:

Step-by-step explanation:

Let's represent the number of people in the group as "x".

For Deal A, the cost per group is given by:

Cost of admission for x people = $9x

Cost of unlimited popcorn = $15

Total cost for x people = $9x + $15

For Deal B, the cost per group is given by:

Cost of admission for x people = $6x

Cost of unlimited popcorn per person = $3 per person

Total cost for x people = $6x + $3x = $9x

We want to find the number of people in the group for which both deals cost the same amount. Therefore, we can set the total costs of the two deals equal to each other and solve for x:

$9x + $15 = $9x

Subtracting $9x from both sides, we get:

$15 = $3x

Dividing both sides by $3, we get:

x = 5

Therefore, if there are 5 people in the group, both deals would cost the same amount.

Answer:

$\(45\)

Step-by-step explanation:

\(30\)% \(\mathrm{of}\) $\(150\)

\(=\frac{30}{100}\times 150\\\)

\(=\) $\(45\)

Answer:

Uso gumamit ng calculator ✌️

Thew unknown value is $80 that is regular price of the ticket.

A percentage is a ratio or number that may be expressed as a fraction of 100. Additionally, it is denoted by the sign "%."

Given, Heather and her family are going to the grand opening of a new amusement park.

There is a special price on tickets this weekend.

Tickets cost $60 each, and this is 75% of the cost of a regular price ticket.

Let x be the price of the ticket without discount.

And tickets cost $60 with 75% discount.

That means;

The percentage,75 % of x = $60

x  × 75 / 100  = 60

6000 / 75 = x

x = 80

The cost of a regular price ticket is unknown value,

you would get $(x).

You start with

x  × 75 / 100  = 60

When solving for the unknown value, you would get $80

Therefore, $80 is the price of ticket 2 without discount.

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A) The value of x in log₄(x² - 12x + 48) = 2, is x = 4 OR x = 8

B) The value of x in 27^(4x-6) =(1/9)^(2x-7), is x = 2

From the question, we are to solve the given equations

The given equation is log₄(x² - 12x + 48) = 2

From one of the laws of logarithm, we have that

logₐ x = n ⇒ x = aⁿ

Thus,

log₄(x² - 12x + 48) = 2 becomes

(x² - 12x + 48) = 4²

x² - 12x + 48 = 16

x² - 12x + 48 - 16 = 0

x² - 12x + 32 = 0

Solve the quadratic equation

x² - 12x + 32 = 0

x² - 8x - 4x + 32 = 0

x(x - 8) -4(x - 8) = 0

(x - 4)(x - 8) = 0

x - 4 = 0 OR x - 8 = 0

x = 4 OR x = 8

B) 27^(4x-6) =(1/9)^(2x-7)

Solve for x

27^(4x-6) =(1/9)^(2x-7)

Express the bases in index form

3^3(4x-6) =(3)^-2(2x-7)

Equate the powers

3(4x - 6) = -2(2x - 7)

12x - 18 = -4x + 14

12x + 4x = 14 + 18

16x = 32

Divide both sides by 16

16x/16 = 32/16

x = 2

Hence, the value of x is 2

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Answer:

Z = 22.5, Y = 81, X = 26.7

Step-by-step explanation:

Using the lengths you do know compare them to the copy, the only two lengths available that are for the same side length are 33 and 22, divide them together and you get 1.5. Thats the scale factor. Everything else you can figure out by multiplying or dividing by this scale factor.

\(Z = (15)(1.5) = 22.5\\Y = (54)(1.5) = 81\\X = (40)/(1.5) = 26.7\)

Answer:

x=1

Step-by-step explanation:

y=3x so just add 1+3=4 then add veriable y=4x

Answer:

1.5 cookies if 2/8 is like 2 cookies out of 8, 1/16 if its like 2/8 of a cookie

Step-by-step explanation: \

1.5: 2 x 3/4 (already ate 1/4) = 1.5

1/16= 1/4 (2/8 reduced)  x 1/4

Answer:

Equation : y = 2x + 3

Step-by-step explanation:

By considering any two coordinates from the line.

For example: I choose (0, 3) and (2, 7)

slope :

\(slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{7-3}{2-0} = \frac{4}{2} = 2\)

Equation :

\((y - y_1) = m (x - x_1)\\\\(y - 7) = 2 (x - 2)\\\\y - 7 = 2x - 4\\\\y = 2x - 4 + 7 \\\\y = 2x + 3\)

The items in the left column should be matched with the items in the right column as follows;

Set builder notation: a shorthand way to write a set.

Inequality: (less than), (greater than), (less than or equal to), (greater than or equal to).

Line graph; visual tool used to illustrate solution sets.

Set: a collection or group of objects indicated by braces, { }.

Element: a member of a set.

Real number: positive or negative, rational or irrational numbers including zero.

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

In Mathematics, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the square root of 11.

In conclusion, a set simply refers to a collection or group of elements (objects) that is always indicated by curly braces, { }.

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Answer:

a)  x = 2 and x = 4

Step-by-step explanation:

A quadratic function is a mathematical function of the form f(x) = ax² + bx + c, where a, b, and c are constants and x represents the independent variable.

The solutions of a graphed quadratic function are the x-values of the points where the parabola crosses the x-axis.

These solutions are also known as the x-intercepts, roots, or zeros of the quadratic function.

From inspection of the given graph, the function crosses the x-axis at x = 2 and x = 4.

Therefore, the solutions of g(x) = -x² + 6x - 8 are:

Answer:

x=2 and x=4.

Step-by-step explanation:

The solution of g(x)=-x^2+6x-8 is the point where the graph of the function intersects the x-axis. This point is (4,0) and (2,0).

Therefore, the solution of g(x)=-x^2+6x-8 is x=4 and x=2.

Another method:

Similarly, we can find the value of x by factorization method too.

g(x)=x^2+6x-8

let g(x)=0

0=x^2+6x-8

x^2-6x+8=0

doing middle-term factorization:

x^2-(4+2)x+8=0

x^2-4x-2x+8=0

x(x-4)-2(x-4)=0

(x-4)(x-2)=0

either

x=4

0r

x=2

Therefore x=4 and x=2.

The values under and inside the radical is 4 and 129 respectively

A quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown value, and a, b, and c represent known numbers. One supposes generally that a ≠ 0; those equations with a = 0 are considered degenerate because the equation then becomes linear or even simpler.

A quadratic equation is given as ax²+ bx+ c=0

this can be solved using formula x=( -b±√b²-4ac)/2a.

in the equation 2x²-10=7x, it can be Rearranged As 2x²-7x-10= 0

a= 2, b= -7 and c= -10

x= -(-7)±√(-7)²-4×2×-10)/2×2

x= 7±√49+80)/4

x= 7/4 ± √129/4

therefore the values inside and under the radical is 129 and 4

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Sheena receives change of $7.55 after paying $20 bill.

Information is graphically represented in a bar graph. To represent value, it makes use of bars that stretch to various heights. Vertical bars, horizontal bars, grouped bars (multiple bars that compare values in a category), and stacked bars can all be used to create bar graphs.

Therefore,

Sheena buys three items, one sandwich and two pretzels.

Given the rate of sandwich = $6.95

Rate of pretzels = $2.75 each

So rate of two pretzels = $2.75 x 2 = $5.5

Total amount paid = $20

To find the change she receives ,

Total payment paid - total amount of items

Total amount for items = $6.95 + $5.5

                                     = $12.45

Change receives = $20 - $12.45

                            = $7.55

Therefore the change Sheena receives is : $7.55.

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Answer:

-5 - 2.3v

Step-by-step explanation:

You want to combine like terms and since two of the numbers have variables, then you can add them both together

4.2v - 6.5 v = -2.3 v

So... -5 - 2.3v or

-2.3v - 5

either or there both same

Hope this helped!

Answer:

5x

Step-by-step explanation:

-6 + 2x + 4 + 3x - (-2)

rearrange to make it easier to solve

2x + 3x - 6 + 4 - (-2)

add like terms, negative time negative is positive

5x - 2 + 2

5x

Answer:

average=9 hours

Step-by-step explanation:

10hours on Friday

12 hours on Saturday

300 mins to hours= 300÷60=5

5 hours on Sunday

average=10+12+5

average=27

average=27÷3

average=9 hours

Answer:

I don't recognize this problem, please make sure the input is complete.

Step-by-step explanation:

it that the full problem?

Answer:

640 Bacteria

Step-by-step explanation:

First, find out how many times the population will double. Divide the number of minutes by how long it takes for the population to double.

812÷203=4

The population will double 4 times.

Now figure out what the population will be after it doubles 4 times. Multiply the population by 2 a total of 4 times.

402222=640

That calculation could also be written with exponents:

4024=640

After 812 minutes, the population will be 640 bacteria.

Answer:

2

Step-by-step explanation:

Area = length * width * height

  4/5 * 3/2 * 5/3

=  60/30

= 2

Answer:

B

Step-by-step explanation:

given scale is 1 inch represents 7.5 feet

then we require to calculate how many 7.5 feet there are in each dimension.

to obtain this divide each dimension by 7.5, that is

13 ÷ 7.5 ≈ 1.73 ( to 2 decimal places )

26 ÷ 7.5 ≈ 3.47 ( to 2 decimal places )

then dimensions are approximately 1.73 inches by 3.47 inches

Yes, because for each input there is exactly one output. Therefore, the relation represented by the mapping diagram is a function.

To determine if the relation represented by the given mapping diagram is a function, we need to check if each input (x value) has exactly one output (y value) associated with it.

From the given mapping diagram, we can see that:

The input value -3 is associated with the output value 0.

The input value -1 is associated with the output value 2.

The input value 1 is associated with the output value 0.

The input value 3 is associated with the output value 2.

The input value 5 is associated with the output value 5.

As we can see, each input value has exactly one output value associated with it. Therefore, the relation represented by the mapping diagram is a function.

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Answer:

46

Step-by-step explanation:

4+6 = 10

64-46 = 18

Answer:

4.09,4.509,4.58,4.58258

Step-by-step explanation:

Answer:

4 shirts

Step-by-step explanation:

127.96 - 76 (54+22)

51.96 / 12.99 = 4