The temperature in Minnesota is 78 degrees at noon.

The temperature is 88 degrees by 4 pm. What is the

rate of change of the temperature from noon till 4?

Answer:

x = 4,-9

Step-by-step explanation:

This is a quadratic equation in x-intercept pattern. Since this is completely factored, we can simply solve the equation like a linear.

First, separate two equations. Let r be the roots of equation, therefore:

[tex]\displaystyle \large{r=\begin{cases}x-4=0\\ x+9=0 \end{cases}}[/tex]

I use the r-variable to denote the roots of equations (not necessary), simply separate both then solve it like a linear.

[tex]\displaystyle \large{r=\begin{cases}x-4+4=0+4\\ x+9-9=0-9 \end{cases}}\\\displaystyle \large{r=\begin{cases}x=4\\ x=-9 \end{cases}}[/tex]

Therefore, the roots of equation are x = 4 or x = -9. In short, we can write as x = 4,-9.

The reason why we use OR instead of AND because one of x-values satisfy the quadratic equation hence ‘or’ is more suitable than ‘and’. However, you must write all valid solutions instead of writing only one x-value from two.

___________________

Let me know in the comment if you have any questions.

Answer:

slope = 6

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (-6, - 4) and (x₂, y₂ ) = (- 4, 8) ← 2 points on the line

m = [tex]\frac{8-(-4)}{-4-(-6)}[/tex] = [tex]\frac{8+4}{-4+6}[/tex] = [tex]\frac{12}{2}[/tex] = 6

The slope of the line given in the task content is; m = 6.

The slope of the line is the rate of change of the dependent variable with respect to the independent variable.

On this note, the slope of the equation is;

Slope, m = (-4-8)/(-6-(-4))

m = -12/-2

m = 6.

Read more on slope;

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Answer:

C and E

Step-by-step explanation:

the position of the minus either up or down affects both the numerator and denominator.

but if both number have minus the minus cancels each other

Answer:

B, C, E

Step-by-step explanation:

A is -/- and therefore +

B is - -/- = -+ = -

C is -/+ = -

D is - -/+ = -- = +

E is +/- = -

Answer:

3(4-2P) = 6*4

12-6P=24

-6P=24-12

P= 12/-6

P= -2

Answer:

no

Step-by-step explanation:

No since the divisor and dividend don't change by the same factor of 10.

Answer:

2 Packages

Step-by-step explanation:

To last the whole month, we would need to multiply 1/4 by 8.

1 *8 = 8

4 * 1 = 4

8/4 = 2

Angles can be used to estimate the side lengths of a shape.

The letters in order of greatest to least are (a), (b) and (c)

The sum of angles at side (a) is:

[tex]a = 30 + 50[/tex]

[tex]a = 80[/tex]

The sum of angles at side (c) is:

[tex]c = 50 + 90[/tex]

[tex]c = 140[/tex]

The sum of angles at side (b) is:

[tex]b = 40 + 90[/tex]

[tex]b = 130[/tex]

So, we have:

[tex]a = 80[/tex]

[tex]b = 130[/tex]

[tex]c = 140[/tex]

The smaller the base angles, the longer the side.

Hence, the letters in order of greatest to least are (a), (b) and (c)

Read more about angles at:

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Answer:

2nd choice

Step-by-step explanation:

Answer:

3m - 30

Hope you could get an idea from here.

Doubt clarification - use comment section.

So the expression till now

[tex]\\ \sf{:}\Rrightarrow m(3)[/tex]

[tex]\\ \sf{:}\Rrightarrow 3m[/tex]

But the required weight is 30pounds less than it

[tex]\\ \sf{:}\Rrightarrow 3m-30[/tex]

Answer:

x would be equal to 70 grades

Step-by-step explanation:

The angle QRS is equal to 180 - 130 = 50 grades.

We add up that with the other 60 grades on the left, and we encounter ourselves with a simple equation:

60 + x + 50 = 180

x = 70

Hope this was helpful

Answer:

x=3/2

Step-by-step explanation:

      .D                         .I

          9x                           7x+3

.C           .E             .H             .J

7x+3=9x

-7x     -7x

-------------

3=2x

--  --

2  2

x=3/2

Check

9(3/2)=13.5

7(3/2)+3=13.5

Answer:

6,174

Step-by-step explanation:

in total we have 20,160 rand.

3/10 of that is =  6048.

6048 rand is euros.

we now have a remaining 14,112 rand.

the rest of the rands is split up into 9:5:2

to find out how much one part equals we add 9, 5 and 2 together.

9 + 5 + 2 = 16.

We then divide the remaining 14,112 rand by 16 to find out one part.

14,112 / 16 = 882.

1 part = 882.

(dollars) 9 parts = 882 x 9 = 7,938 rand

(rupees) 5 parts = 882 x 5 = 4,410 rand

(francs) 2 parts = 882 x 2 = 1,764 rand

to find out how many more rands pieter changed into dollars than he changed into francs we need to minus 1,764 from 7,938.

7, 938 - 1,764 = 6,174

Pieter changed 6,174 more rands into dollars than francs.

Hope this helped :)

Answer:

3^12

Step-by-step explanation:

9³=(3²)³=3^6

27²=(3³)²=3^6

So together, it is 3^12

Answer:

3^12

Step-by-step explanation:

9^3 x 27^2

Rewrite 9 as 3^2 and 27 as 3^3

3^2^3  * 3^3^2

We know that a^b^c = a^(b*c)

3^(2*3)  * 3^(3*2)

3^6   * 3^6

We know that a^b  * a^c = a^(b+c)

3^(6+6)

3^12

Step-by-step explanation:

We can find r by dividing the second term of the series by the first. Substitute values for a 1 , r , a n d n \displaystyle {a}_{1}, r, \text{and} n a1,r,andn into the formula and simplify. Find a1 by substituting k = 1 \displaystyle k=1 k=1 into the given explicit formula.

Answer:

after 25 minutes the temperature was at 78 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

So, yea i cant get you an exact answer but... i can tell you howto solve it.

Step-by-step explanation:

IN this case you would need to rewrite it so it is on the left side!

Bye friend! :)

you have also wasted your time by going down heere so, YOUR FAULT

Answer:

160 is the answer I just toke the quiz

7/24*5/14*16*25= 1/15

Answer:

36

Step-by-step explanation:

It's so obvious lollllll

Answer:

36

Step-by-step explanation:

Answer:

1.666666666666666666666666666666666666666666666666666

Step-by-step explanation:

Answer:

aye she probally not gonna go every day she polly gonna got twice so just pay 4 every visit

Step-by-step explanation:

Answer:

x1= 100 x2=99.999

Step-by-step explanation:

[tex]x^{0.5\log _{10}\left(x\right)}=0.01x^2[/tex]

[tex]0.5\log _{10}\left(x\right)\log _{10}\left(x\right)=\log _{10}\left(0.01\right)+2\log _{10}\left(x\right)[/tex]

u=log(x)

[tex]0.5uu=\log _{10}\left(0.01\right)+2u[/tex]

[tex]u=2+\sqrt{1.0E-15},\:u=2-\sqrt{1.0E-15}[/tex]

[tex]x=10^{2+\sqrt{1.0E-15}},\:x=10^{2-\sqrt{1.0E-15}}[/tex]

Answer:

3/5 or .6 grams of sugar

Step-by-step explanation:

You would just do 3/5 and get .6 Hope this helps :)

Answer:

Step-by-step explanation:

0.6 pounds

Answer:

check online for more information

Answer:

-2(1-2p)

Step-by-step explanation:

-7-4p-(-5)

-(-5)=5

=-7-4p+5

=5-7-4p

=-2-4p

=-2(1-2p)