Write a function to describe the following scenario.

The temperature of a hot steak starts at 140° F and decreases at 5° F per minute. What will the temperature be of this steak after a certain number of minutes?

y= ? - ?x

Answer:

This system has infinite solutions and it would be much easier to solve it by elimination but substitution it is.

Step-by-step explanation:

-3x+3y=9

-x+y=3

Isolate either x or y in any of the equations. I'll go with the second.

y = 3+x

Now substitute this for y in the first equation.

-3x+3(3+x)=9

Distribute the 3

-3x+9+3x=9

Combine like terms:

9=9

0=0

It's infinite

Answer:

-9

Step-by-step explanation:

[tex]3^{-36}[/tex]= [tex]27^{-12}[/tex]

Answer:

Step-by-step explanation:

She made the -2(6) as a positive 12. it should've been a negative 12 because a negative multiplied by a positive is a negative.

Answer:

ur answer is 8.06

Step-by-step explanation:

a² + b²= c²

4² + 7² = c²

16 + 49 = c²

65 sooo u do √65= 8.06

Given:

The two numbers are [tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex].

To find:

The 4 rational numbers between the given numbers.

Solution:

We have,

[tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex]

First we need to make common denominators. So multiply and divide the first fraction by 3 and second fraction by 2.

[tex]-\dfrac{1\times 3}{2\times 3}=-\dfrac{3}{6}[/tex]

[tex]-\dfrac{1\times 2}{3\times 2}=-\dfrac{2}{6}[/tex]

We need to find 4 rational numbers between the given numbers. So, multiply and divide both fractions by five, (4+1=5).

[tex]-\dfrac{3\times 5}{6\times 5}=-\dfrac{15}{30}[/tex]

[tex]-\dfrac{2\times 5}{6\times 5}=-\dfrac{10}{30}[/tex]

Now, the four numbers between -15 to -10 are -14, -13, -12, -11.

[tex]-15<-14<-13<-12<-11<-10[/tex]

[tex]-\dfrac{15}{30}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{10}{30}[/tex]

[tex]-\dfrac{1}{2}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{1}{3}[/tex]

Therefore, the 4 rational number between the given numbers are [tex]-\dfrac{14}{30},\ -\dfrac{13}{30},\ -\dfrac{12}{30}\ -\dfrac{11}{30}[/tex].

Answer:

k = -12

Step-by-step explanation:

When lines are perpendicular, their slopes are the opposite reciprocal of each other.

The opposite reciprocal of [tex]\frac{1}{4}[/tex] is -4

[tex]\frac{k}{3}=-4[/tex]

k = -12

Answer:

920

So, 0.45=920 as a proper fraction in simplest form.

Answer:

30

Step-by-step explanation:

idek

Answer:

Hi, there your answer is x=4

Step-by-step explanation:

Step 1: Add 2 to both sides.

3x−2+2=10+2

3x=12

Step 2: Divide both sides by 3.

[tex]\frac{3x}{3}=\frac{12}{3}[/tex]

x=4

Answer:

C. It is shifted 4 units down.

Step-by-step explanation:

Shifted four units down. When a number is at the end of the equation, it means that that number shifts up or down depending on its sign.  

Answer:

It is shifted 4 units down

Step-by-step explanation:

When we have a function the constant number that is not multiplied by a variable, in this case, 4 in the first function, indicates where the function will intercept the y-axis, or when x is equal to 0.

In this case, we have two functions:

y = 5x^2 - 4, in which -4 is the constant that will determine where the function intercepts the y-axis. So if we say that we have x=0, then y=-4

In the second function we have:

y= 5x^2, this function is very similar but we don´t have another number after 5x^2, so we will have a similar graph but when x = 0 then y = 0.

So the first graph is shifted 4 units down. We can see this in the attachment.

It shifted 4 u it’s to the left

It is shifted 4 units to the left.

Answer:

a = 8

Step-by-step explanation:

a ÷ 2 - 8 + 8 = - 4 + 8

a ÷ 2 = 4

a ÷ 2 × 2 = 4 × 2

a = 8

Answer:

a = 8

Step-by-step explanation:

Given

[tex]\frac{a}{2}[/tex] - 8 = - 4 ( add 8 to both sides )

[tex]\frac{a}{2}[/tex] = 4 ( multiply both sides by 2 to clear the fraction )

a = 8

Answer:

<2 = 75

Step-by-step explanation:

<1 and <2 form a straight line which means that they add to 180

<1+<2 =180

105+<2 =180

Subtract 105 from each side

<2 =180-105

<2 = 75

Answer:

a. 12 students had received college credit for math

b. 26 students had received college credit for science

(a) A temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.

(b)The inequality -2>-5 will be used to illustrate the connection between -2 and -5.

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

On a number line, graph all the temperature that are warmer than -2°C.

(a)-2 °C  temperature is warmer,As the temperature in the graph is decreasing,-2 °C temperature is warmer than -5 °C.

The inequality to express the relationship between -2 and -5 will be -2>-5.

Hence,temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.

To learn more about the graph, refer to the link;

https://brainly.com/question/14375099

#SPJ2

Answer:

6 students earned a d and 80% got other

Step-by-step explanation:

Answer:

6 students, 80% of students

Step-by-step explanation:

20% of her 30 students earned a D. To find exactly how many students earned a D, we can convert the 20% into a fraction and thereby multiply the fraction by 30.

[tex]20[/tex]%[tex]=[/tex]

[tex]\frac{20}{100}=\\\frac{1}{5}[/tex]

Ok, [tex]\frac{1}{5}[/tex] of Ms. Moore's 30 students earned a D. Let's multiply.

[tex]\frac{1}{5}*\frac{30}{1} =\\6[/tex]

6 students in Ms. Moore's class earned a D.

Therefore, the rest of the class earned a different grade. [tex]30-6=24[/tex] students had a different grade. To find the percentage, we simply divide by the total number of students and multiply by 100%

[tex]\frac{24}{30} =\\\frac{4}{5} =\\0.8=[/tex]

[tex]80[/tex]%

80% of students in Ms. Moore's class got a grade other than D.

I hope this helps! Let me know if you have any questions :)

Answer:

Are there any options to choose from???

Answer:

14 windows is the answer

Step-by-step explanation:

windows washed before lunch = 1/3 of total windows

= 1/3 * 33

= 11 windows

windows washed after lunch = 8

windows remaining = total - washed before lunch - washed after lunch

remaining = 33 - 11 - 8

= 33 - 19

= 14 windows

Answer:

Step-by-step explanation:

formula of volume of cone is given so u simply substitute the values given and calculate.

Work is done for u .

Hope this helps u

Answer:3.53

Step-by-step explanation:

I found it on a quiz game got it right

Answer:

N=3

Explanation:

Look at image below

Answer: Natasha is 17 and Ravi is 25

Step-by-step explanation:

Let n = Natasha’s age and r = Ravi’s age

We can write an equation then substitute: 42=n+r

We know that Ravi is 8 years older than Natasha, so Ravi’s age is equal to n+8. We can substitute that in, so 42= n+(n+8)

Simplify:

42=n+(n+8)

42= 2n+8

42-8=2n+8-8 (subtract 8 from both sides to isolate n)

34=2n

34/2=2n/2 (divide both sides by two)

17=n

Natasha is 17, and Ravi is 8 years older. 17+8= 25, Ravi is 25. You can double check by adding 25 and 17 together, which brings you back to 42 :]

Answer:

187, 199, 211, 250, 298, 331, 347, 362

[tex]median = {( \frac{n}{2} + 1) }^{th} \: value \\ = ( \frac{8}{2} + 1) {}^{th} \: value \\ = {5}^{th} \: value \\ median = 298[/tex]

Answer:

The median is the middle number in a set of data when the data is arranged in ascending (this is more common) or descending order. If there are an even number of values in the data set, the median is the arithmetic mean of the two middle numbers. Thus, the median separates the lower and higher half of a data set.

Step-by-step explanation:

ascending order : 187, 199, 211, 250, 298, 331, 347, 362

answer: 250, 298 .

Answer:

they are similar cuz it resembles a "z" pattern. The angles are so the same.

gradient = 12-4 ÷0-(-4)=8÷4=2

Answer:

gradient = 2

Step-by-step explanation:

Calculate the gradient m using the gradient formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (0, 12)

m = [tex]\frac{12-4}{0+4}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Answer:

25%

bc its 1/4 = 0.25 of the purchase price.

the other percentage is 45

108/240 = 54/120 = 18/40 = 4.5/10 = 45/100

Answer:

h=4cm

Step-by-step explanation:

a) volume of a cuboid= LBH

cuboid a=(3x2x8)cm³

=48cm³

cuboidb

6cmx2cmxh=48cm³

12cm²xh=48cm³

12cm²h/12cm²=48cm³/12cm²

h=4cm

Answer: 20 cm

Step-by-step explanation:

Given

For the right angle triangle, the length of the other two sides of triangle are 12 cm and 16 cm

Using the Pythagoras theorem, [tex](\text{Hypotenuse})^2=(\text{Perpendicular})^2+(\text{base})^2[/tex]

Insert the values

[tex]\Rightarrow H^2=12^2+16^2\\\Rightarrow H^2=144+256\\\Rightarrow H^2=400\\\Rightarrow H=\sqrt{400}\\\Rightarrow H=20\ cm[/tex]