What is the equation of the line that passes through the point (2,-4) and has a slope of -2

Step-by-step explanation:

Given that,

a + 2b = 17

Also,

2a + b = 4

By adding the above expressions we get,

a + 2b + 2a + b = 17 + 4

3a + 3b = 21.

3 (a + b) = 21

a + b = 21/3

a + b = 7 Let us take 'b' = 10

a + 10 = 7

a = 7 - 10

a = -3

Now let's check by verifying by putting a = -3 and b = 10 in the previous expressions

a + 2b = 17

-3 + (2 × 10) = 17

-3 + 20 = 17

17 = 17

2a + b = 4

(2 × -3) + 10 = 4

-6 + 10 = 4

4 = 4

Therefore, a = -3 and b = 10 [(-3,10)] is the solution.

Answer:

[tex]F(t)=Ts+(T0-Ts)^{e-0.2t[/tex]

Step-by-step explanation:

Newton's law of cooling states

"that the temperature of a body changes at a rate proportional to the difference in temperature between the body and its surroundings"

Newton's Law of Cooling is given by the formula

[tex]F(t)=Ts+(T0-Ts)^{e-kt[/tex]

Where

F( t )  is the temperature of the object at a given time  t

T s is the surrounding temperature

T 0  is the initial temperature of the object

k is the constant

Given k=0.2

Hence the expression is

[tex]F(t)=Ts+(T0-Ts)^{e-0.2t[/tex]

Answer:

[tex]x^3-10x^2+31x-28[/tex]

Step-by-step explanation:

Since we are looking for a polynomial with RATIONAL coefficients, then we know that if [tex]3-\sqrt{2}[/tex]  is a root, then its conjugate  [tex]3+\sqrt{2}[/tex] must also be a root

Therefore, we build the polynomial using binomial factors with the given roots as shown below:

[tex](x-4)*(x-3+\sqrt{2} )*(x-3-\sqrt{2} )= (x-4)((x-3)^2-2)=\\=(x-4)*(x^2-6x+9-2) =(x-4)*(x^2-6x+7)=\\=x^3-10x^2+31x-28[/tex]

Answer:

Number 4. A

Number 5. B

Number 6. B

Step-by-step explanation: On god

Can You write me a three-paragraph reflection about how the first trimester went. Since I helped you plz

Answer:

{(2, 9), (5, 9), (1, -6), (-5, 5), (2,9), (5,9), (1,−6), (−5,5)}

Step-by-step explanation:

recall that for a function to be valid, every input must give one and only 1 output. (i.e every x-ordinate must have only one unique corresponding y-ordinate)

I have highlighted in bold and underlined the entries for each of the other choices where an x-value gives more than one possible y-value, hence these are not functions. only the first option satisfies this condition:

{(2, 9), (5, 9), (1, -6), (-5, 5), (2,9), (5,9), (1,−6), (−5,5)} Every x-value has a unique y-value, so it is possible that this is a function.

{(6, 6), (6, 8), (-8, -7), (-3, -8), (6,6),(6,8),(−8,−7),(−3,−8)}  (not a function)

{(1, 8), (9, -3), (7, -4), (7, -6), (1,8),(9,−3),(7,−4),(7,−6)} (not a function)

{(-5, -1), (-3, -7), (-5, 3), (-7, -4), (−5,−1),(−3,−7),(−5,3),(−7,−4)} (not a function)

Answer:

Step-by-step explanation:

Given the function f(x)=2x^2-4x-16

To know the amount of roots that the function have in common, we need to first factorize the expression as shown;

f(x)=2x^2-4x-16

f(x)=2x^2-8x-16

Let f(x) = 0

0 =2x^2-4x-16

2x^2-4x-16 = 0

Divide through by 2;

x^2-2x-8 = 0

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

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

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

x = -2 and 4

Hence the roots of the function are -2 and 4. They did not have any common roots

Answer:

f and g share the same root(s).

Step-by-step explanation:

Answer:

1. 768 square yards

2. 384 square yards

Step-by-step explanation:

1. 16 x 16 = 256

  256 x 3 = 768 square yards

2. 16 x 16 = 256

   256/2 = 128

   128 x 3 = 384 square yards

Answer:

501.5

Step-by-step explanation:

Fill it in.

Answer: 2.7x (27 + 4x) - 45y + 2 = 501.5

Step-by-step explanation:

Start with 2.7x (27 + 4x)

so 2.7(5) = 13.5

and then you change the number that multiplies with the others:

13.5 (27 + 4x)

Then multiply them:

364.5 + 54x

And then add them with the rest of your equation:

364.5 + 54x - 45y + 2

Now multiply the numbers that have the variables:

364.5 + 54x - 45y + 2

54(5) = 270  and -45(3) = -135

then add them to the equation again:

364.5 + 270 -135 + 2

And then add them or subtract them altogether (I added 364.5 and 270 first and I got: 634.5. And then I subtracted/added -135 + 2 second and I got: -133.

then do 634.5 - 133 and you should get 501.5.

Answer:

17.5 tour guides are needed . In my idea.

Answer:

18

Step-by-step explanation:

If you add all of the students then divide by 8 you get 17.5. However, you can't have .5 of a tour guide, so you round up to 18.

28+35+22+33+22=140

140/8=17.5

17.5 ≈ 18 tour guides

Hope this helps!

Answer:

Is this in a different language?

Step-by-step explanation:ok:)

Answer:

Step-by-step explanation:

3,249

Answer:

360

Step-by-step explanation:

So, here's what we know...

Andres has 3,240 cookies and is putting them in boxes and wants 9 cookies in each.

To solve this, the easiest way is to divide 3,240/9. Since Andres is splitting putting 9 cookies in a box. The equation to solve this would be...

3,240 cookies ÷ 9 cookies per box = x boxes

Now, let's do the math!

3,240 ÷ 9 = 360

So, Andres used 360 boxes!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Given:

Total number of marbles in the bag = 150

There are 21 blue marbles for every 4 white marbles.

To find:

The number of blue marbles in the bag.

Solution:

Since, there are 21 blue marbles for every 4 white marbles, therefore the ratio of blue marble to white marbles is 21:4.

Let the number of blue marbles be 21x and white marbles be 4x.

Total number of marbles in the bag = 150

[tex]21x+4x=150[/tex]

[tex]25x=150[/tex]

Divide both sides by 25.

[tex]x=\dfrac{150}{25}[/tex]

[tex]x=6[/tex]

Now,

[tex]\text{Blue marbles}=21x[/tex]

[tex]\text{Blue marbles}=21(6)[/tex]

[tex]\text{Blue marbles}=126[/tex]

Therefore, the number of blue marbles is 126.

Answer:

18y + 2z

Step-by-step explanation:

So first things is first, arrange all terms with the same degree.

8y + 10y - 3z + 5z + 2 - 2

Next combine like terms for everything

8y + 10y = 18y cuz 8 + 10 is 18.

-3z + 5z = 2z cuz -3 + 5 = 2

2 - 2 = 0 cuz that's a rule in math.

So the final answer is 18y + 2z.

You don't have a whole number cuz it is 0. You can put it there if you want as well.

18y + 2z + 0

( 3 , 2 ) Equation Form: x = 3 , y = 2

Answer:

(x=3, y=2)

Step-by-step explanation:

2x-y=4------equation1

x+y=5-----equation2

Add equation 1 to equation2

3x=9

x=9/3

x=3

substitute x=3 into equation 2

x+y=5

3+y=5

y=5-3

y=2

Answerdddddddddddddddddddddddddddddddddddddddddddddddddddddd

Step-by-step explanation:

Answer:

0/0=0. 1/1=1.

Step-by-step explanation:

i passed grade 1.

Answer:

1) 0/0 = 0

2) 1/1 = 1

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

If you substitute 0 to x the equation will not be right.

2*0 = 0 + 5

0 ≠ 5

0 is not equal to right. So 0 is not a solution for the equation.

The solution is actually 5. X=5

Answer:

:3))

Step-by-step explanation:

2x = x + 5                         original equation

2(0) = 0 + 5                      plug in 0 ("solution") for x

0 = 0 + 5                          simplify 2(0)

0 = 5 (not true)                 simplify 0 + 5

Because the final answer to the equation wasn't true when using the input value of 0 for x, we know that 0 is not a solution to this equation.

Answer:

D. 19

Step-by-step explanation:

x+5 has to equal half of the base(3x-9)

I tried everything else. Those answers didn't work. 3*19-9=48 and 19+5=24

48/2=24 Therefore, the answer is D, 19

Answer:

no.

Step-by-step explanation:

No. Because, 5 is an integer, that's why it's not irrational.

Answer:

its 9

Step-by-step explanation:

bec 1 square is 1 and 4 +5 is 9

Answer:

9

Step-by-step explanation:

4x^2+5=

4(1)^2+5=

4(1)+5=

4+5=

9

Answer:

13 in

Step-by-step explanation:

It’s a right triangle, so use the Pythagorean Theorem.

12²+5²=c²

144+25=c²

169=c²

√169=c

13=c

Answer:

the value of y is 3 more than twice x

Step-by-step explanation:

we find the slope is 2 because 4/2=2

y=2x+b

we put in the first point (1,5)

5=2+b

b=3

y=2x+3

Answer:

i think its c

Step-by-step explanation:

because 4 times 1 is 4 and if u add 1 than u get 5 which is y

im not sure if this is right lmk

Answer: which side is a? I can’t answer the question without knowing the sides

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

3.68-3=0.68 (SHE HAS ENOUGH!!!)

Answer:

A bat

Step-by-step explanation:

Answer:

The bat flies faster by 7 feet

Step-by-step explanation:

first, you need to find some common ground. 84 and 4 can both be divided by two 84/2=42 so now we know that:

-The bat flies 42 feet in two seconds

-The dove flies 35 feet in two seconds

So we know that the bad flies faster because the number is greater, but by how much?

To find this just subtract 35 from 42 to get 7.

So to summarize

The bat flies faster by 7 feet

Step-by-step explanation:

mean = sum of observation/ no. of observation

mean = 3+5+6+4+7+3+9+8/ 8

Answer:

3+5+6+4+7+3+9+8/8

45/8

5.625

Answer:

Step-by-step explanation:

Given the expression of the speed satisfying the equation |S-60|≤17.5

The inequality expression will return both a negative and positive value.

For the positive value of the function;

S-60 ≤17.5

S ≤17.5+60

S  ≤ 77.5

For the negative value of the function;

-(S-60) ≤17.5

-S+60 ≤17.5

-S  ≤17.5 -60

-S  ≤ -42.5

multiply through by -1

S≥42.5

Hence the minimum speed limit is S≥42.5 while the maximum is S  ≤ 77.5

Answer:

y=-x-2

             kkkkjkjkjkjkjkj

Answer: Answer is 27.

Step-by-step explanation: -5 squared is 25 plus 2 is 27.

Answer:

27

Step-by-step explanation:

-x^2+2

Substitute the x for a 5

-5^2+2

-5^2=25

25+2=27

The answer is 27