The function m is given in three equivalent forms.

Which form most quickly reveals the vertex?

Answer:

2.25

Step-by-step explanation:

2/5 is equal to 4/10

(9/10)/(4/10)

(9/10)*(10/4)

90/40

9/4 = 2.25

(Can be checked if you multiply 4 by 2.25)

Answer:

Ok so it would be 9.57

Step-by-step explanation:

4.35÷5 = 0.87

so 1 can is 0.87

$0.87*11=$ 9.57

Step-by-step explanation:

y = -5x² + 2x - 3 and y = -3x - 3.

=> -5x² + 2x - 3 = -3x - 3

=> 5x² - 5x = 0

=> 5x(x - 1) = 0

=> x = 0 or x = 1.

When x = 0, y = -3(0) - 3 = -3.

When x = 1, y = -3(1) - 3 = -6.

The solutions are (0,-3) and (1,-6).

Answer:

13

Step-by-step explanation:

The length of the line segment is 13 unit.

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

If the ray lies onto the considered line segment(overlapping), then it can be said belonging to the considered line segment.

(line segment has 2 fixed ends, whereas a ray has one end only, other end is not fixed)

We are given that coordinate plane shows Line A B.

We need to find the length of the line segment.

We can see that the graph has 1 unit equal to 1 cm.

Then the coordinate for Point B is (5, 13)

The length of the line segment is 13 unit.

Learn more about line segment here:

https://brainly.com/question/14186383

#SPJ2

Answer:

The equation of the straight line passing through the point ( 3,1 )

                      [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

Step-by-step explanation:

Step(i):-

The equation of the straight line passing through the point ( 3,1 )

                      [tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]

                     [tex]\frac{3}{a} + \frac{1}{b} = 1[/tex]

                    3b + a = ab ...(i)

Given the difference of length is  4

                      a-b = 4

                       b =  a - 4 ...(ii)

Step(ii):-

substitute b=a-4 in equation (i) , we get

                3( a-4 ) + a = a (a-4)

               3a - 12+ a =  - 4 a + a²  

                 a² - 8 a + 12 =0

Find the factors of 'a'

                 a² - 6a -2a +12 =0

                a (a-6) -2(a-6) =0

             a =2 and a=6

                  we know that a-b =4

             put       a = 2

                          2 - b =4

                            b = -2

The equation of the straight line whose intercepts on the axes

                    [tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]

                   [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

The equation of the straight line

                      [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

Verification:-

The equation of the straight line passing through the point (3,1)

                      [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

Put x =3 and y=1

                  [tex]\frac{3}{2} + \frac{1}{-2} = 1\\\frac{2}{2} =1\\[/tex]

                 1 = 1

∴  The point (3,1) is satisfies the equation

Answer:

17 units

Step-by-step explanation:

Distance between points [tex](a,b)\,,\,(c,d)[/tex] is given by [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]

The trail starts at P(−2, 2) and goes to Q(5, 2).

Take [tex](a,b)=(-2,2)\,,\,(c,d)=(5,2)[/tex]

[tex]PQ=\sqrt{(5+2)^2+(2-2)^2}=\sqrt{7^2}=7[/tex] units

It goes from Q to R(5, −5)

Take [tex](a,b)=(5,2)\,,\,(c,d)=(5,-5)[/tex]

[tex]QR=\sqrt{(5-5)^2+(-5-2)^2}=\sqrt{(-7)^2}=7[/tex] units

It goes from R to S.

Take [tex](a,b)=(5,-5)\,,\,(c,d)=(8,-5)[/tex]

[tex]RS=\sqrt{(8-5)^2+(-5+5)^2}=\sqrt{3^2}=3[/tex] units

[tex]PQ+QR+RS=7+7+3=17[/tex] units

Answer:

The answer is 3

Step-by-step explanation:

1/4(16 + 4)-2 = 3

Hope this helped ya

Answer:

1/4(16+4)-2

1/4(20)-2

5-2

3

Step-by-step explanation:

Answer:

D) x<0 or x>3

Step-by-step explanation:

x(x-3)>0

either x>0 and x-3>0      .... positive-positive=positive   so x>3

or x<0 and x-3<0    ..... negative-negative=positive  so x<0

if x=0 then x(x-3)=0

The solution to the inequality is x < 0 or x > 3

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To solve the inequality x(x - 3) > 0, we can use a sign chart.

First, we can find the critical points of the inequality, which are the values of x that make the expression x(x - 3) equal to zero. These values are x = 0 and x = 3.

Then, we can create a sign chart with these critical points and test intervals between them to determine the sign of the expression x(x - 3) in each interval.

Interval Test Value x(x - 3)

x < 0   -1                Positive

0 < x < 3    1                  Negative

x > 3    4                Positive

From the sign chart, we see that x(x - 3) is positive when x < 0 and when x > 3, and negative when 0 < x < 3.

Hence , the solution to the inequality x(x - 3) > 0 is x < 0 or x > 3

To learn more about inequality click :

https://brainly.com/question/11897796

#SPJ2

Answer: 5/13

Step-by-step explanation: Cosine equals adjacent over hypotenuse so adjacent is the side closest to the angle neglecting the hypotenuse of course because that's always the longest side. So Cos=A/H or 5/13

Answer:

They are both equivalent.

Step-by-step explanation:

It is the same except there is just a 0 added to the back to 0.270. If it was 0.207, then 0.27 would have been bigger, but a zero of the back of a decimal wont affect it at all.

As 'zero' to the rightmost side after the decimal place has no value to it 0.27 and 0.270 are equivalent decimal numbers.

We round off numbers to make them easier to remember and it also keeps its value approximately to the place it has been rounded off.

To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.

We know 'zero' at the rightmost side after the decimal place has no value to it.

So, The numbers 0.270 and 0.27 are equivalent as 0.270 can be written 0.27.

Therefore the decimal numbers 0.27 and 0.270 are equivalent.

learn more about decimal numbers here :

https://brainly.com/question/4708407

#SPJ2

Given:

The sum of third and seventh terms of an AP is 20.

To find:

The sum of the first nine ​ terms.

Solution:

We have, the sum of third and seventh terms of an AP is 20.

[tex]a_3+a_7=20[/tex]        ...(i)

nth term of an AP is

[tex]a_n=a+(n-1)d[/tex]

where, a is first term and d is common difference.

[tex]a_3=a+(3-1)d[/tex]

[tex]a_3=a+2d[/tex]       ...(ii)

[tex]a_7=a+(7-1)d[/tex]

[tex]a_7=a+6d[/tex]       ...(iii)

Using (i), (ii) and (iii), we get

[tex](a+2d)+(a+6d)=20[/tex]

[tex]2a+8d=20[/tex]         ...(iv)

Now, the sum of first n terms of an AP is

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

Put n=9 to find the sum of first 9 terms of an AP.

[tex]S_n=\dfrac{9}{2}[2a+(9-1)d][/tex]

[tex]S_n=\dfrac{9}{2}[2a+8d][/tex]

[tex]S_n=\dfrac{9}{2}[20][/tex]           [Using (iv)]

[tex]S_n=\dfrac{180}{2}[/tex]

[tex]S_n=90[/tex]

Therefore, the sum of the first 9 terms is 90.

Answer:

18 students

Step-by-step explanation:

Now think of it in this form. 12 students wanna learn french which is 24% and in this problem we have to find 24% of "x" is 12. The answer is obviously 50. Now go to German and you can see that 18% want to learn German. All you have to do is find 50% of 18 to get your answer which is 9. Now follow that same pattern with the Spanish one. If 36% want to learn Spanish, just find 50% of it or half of it and that could be done by doing 36 divided by 2 to get 18 as your answer. Another way to do it is my turning 50% into 0.5 and multiplying it by 36 to get your answer. As a result, your answer is 18 students want to learn Spanish.

Answer:

m = 3

Step-by-step explanation:

Pick two points from the table.

(-1, 1) and (1, 7)

Apply the slope formula.

[tex]m=\frac{7-1}{1+1}=\frac{6}{2}=\boxed{3}[/tex]

Hope this helps.

Answer:

Han's mixture tastes stronger, because...

Han's uses 6 2/3 cups of water for every 1 cup of orange juice concentrate.

Clare uses 7 1/2 cups of water for every 1 cup of orange juice concentrate.

Step-by-step explanation:

Claire

Cups of water = 2 1/2 cups

Cups of orange juice = 1/3

Cups of water for every cup of orange juice = 2 1/2 ÷ 1/3

= 5/2 × 3/1

= 15/2

= 7 1/2

Han:

Cups of water = 1 2/3 cups

Cups of orange juice = 1/4 cups

Cups of water for every cup of orange juice = 1 2/3 ÷ 1/4

= 5/3 × 4/1

= 20/3

= 6 2/3

Answer:

multiply by 1.81

Step-by-step explanation:

Answer:

Step-by-step explanation:

J is correct.. that function can never be less than 2

Answer:

I'm pretty sure its -11

Answer:

f(3) = -11

Step-by-step explanation:

Substitute 3 in wherever you see an x:

f(3) = -4 * 3 + 1

f(3) = -12 + 1

f(3) = -11

Answer:

The answer is the 1st option, so 6x+1

Answer:

3 dollars

Step-by-step explanation:

5 cans= 15 dollars

1 can = 15/5= 3

3 dollars

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

factor out negative sign.

keep the sign of the number with the larger absolute value and subtract the smaller absolute value from the larger.

-(16-8)

then, subtract the numbers.

Answer:

there are dots outside of the allotted area

Step-by-step explanation:

I've never taken a math help class but from your paper one can assume you have to point out the error in the graph. Its a bit fuzzy so I cant see the numbers or labels but you take what you learned for how to graph and apply it here.

For example:

The dots should stay inside the graph. Not on the outside

The numbers that are on the side, the axis, they should all progress in a specific sequence. Like 2,4,6,8,10. It needs to stay constant. Not 2,4,6,8,19

Same for both x and y axis^

I'm not sure if that helps much with what your doing seeing as the instructions apply what you've already learned, but I hope you do good!

Answer:

9 1/2

Step-by-step explanation:

i think think this may be the anwser

Answer:

sin A= 3/5

sin C= 4/5

cos A= 4/5

cos C= 3/5

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

sorry to tell you this but you will be measuring for a while

Step-by-step explanation:

go to walmart get a 2/3 measuring cup and measure out 8 cups i guess. get me some chips while your there plss. <3

              P.D: espero haberte ayudado aunque sea un poquito

Answer:

1,155 miles in a year.

Step-by-step explanation:

Assuming there are 4 weeks per month, that would mean there are a total of 48 weeks. If she takes 6 weeks off then that would leave 42 weeks. We know need to find how many minutes are in 11 hours by multiplying 11 by 60min.

11 * 60 = 660min

Now we need to divide 660min by the 24min it takes to walk 1 mile which will also give us the number of miles she walks per week

660 / 24 = 27.5 miles per week

Finally, we need to multiply the number of miles by the number of weeks in the year.

27.5 miles * 42 weeks = 1,155 miles in a year.

Answer:

Step-by-step explanation:

2) They distributed an x out of the term with out one.  that is the 8

so the expression should be  5x +8

3) They didn't follow order of operations and took 2 away from the 7 before they distributed the 7  :O  very bad of them

the expression should be  7x + 54

4) They distributed out the y but didn't leave a 1 so the problem lost a term.

the expression should be -6x + 7y