MATHEMATICS MIDDLE SCHOOL

Help please !!! Oh Select all the equations where m= 4 is a solution

Choose 3 answers:

A) 13 = 9 + m

B)7- m = 3

C) 15 = 11m

D) 5 = m + 2

E) 20 divide m =5

Answers

Answer 1

Answer:

Answer:

A, B, E

Step-by-step explanation:

A) 13=9+m

m= 13-9

m=4 ✔️

B) 7-m =3

m= 7-3

m=4 ✔️

C) 15= 11m

15=11*4

15≠44

D) 5= m+2

If m=4 therefore

5≠4+2

5≠6

E) 20 divide m = 5

20/4 = 5

therefore, m=4 ✔️

Answer 2

Answer:

Final answer:

By substituting m=4 into each equation, we find that options A) 13 = 9 + m and E) 20 divided by m = 5 are the correct equations where m=4 is a solution.

Explanation:

In mathematics, specifically algebra, we can solve and check equations by plugging in values. You are asked to find the equations where m = 4 is a solution.

Let's substitute m with 4 in each equation:

A) 13 = 9 + m becomes 13 = 9 + 4. Hence, 13 = 13 which is true.
B) 7- m = 3 becomes 7 - 4 = 3 so it is incorrect because 3 is not equal to 7 - 4.
C) 15 = 11m becomes 15 = 44 which is incorrect.
D) 5 = m + 2 becomes 5 = 4 + 2 which is incorrect because 5 is not equal to 6.
E) 20 divided by m = 5 becomes 20 divided by 4 equal to 5. So, 5 = 5 is correct.

Therefore, the equations where m=4 is a solution are A) 13 = 9 + m and E) 20 divided by m = 5.

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Solve the equation: 3x + 5z - xz= ??= z=3x=2

What is the inverse of the function f(x)= 15x+50/x+5

Answers

I think you mean

$f(x) = (15x + 50)/(x + 5)$

First, replace f(x) with y.

$y = (15x + 50)/(x + 5)$

Now, switch x and y.

$x = (15y + 50)/(y + 5)$

Now we solve for y.

$x(y + 5) = 15y + 50$

$xy + 5x = 15y + 50$

$xy - 15y = -5x + 50$

$y(x - 15) = -5x + 50$

$y = (-5x+ 50)/(x - 15)$

Now we replace y with $f^(-1)(x)$ .

$f^(-1)(x) = (-5x+ 50)/(x - 15)$

What is the total cost of 1.9 cubic meters of soil if it sells for $40

Answers

Answer:

Step-by-step explanation:

Total cost = 1.9* 40 = 76.0 = $76

When unit rate is given,multiply.

Final answer:

The total cost of 1.9 cubic meters of soil is $76. This is calculated by multiplying the amount of soil bought (1.9 cubic meters) by the cost of one cubic meter of soil ($40).

Explanation:

To calculate the total cost, we have to multiply the amount of soil bought (in cubic meter) by the cost of one cubic meter of soil. Here, the student is buying 1.9 cubic meters of soil and the cost of one cubic meter of soil is $40.

So, Total cost = amount of soil * cost of one cubic meter of soil
= 1.9 * 40
= $76

Therefore, the total cost of 1.9 cubic meter of soil is "$76."

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Which ordered pair is the solution to the system of equations?x+3y=12
-4x+3y=-3
A.
(0, 4)

B.
(6, 2)

C.
(3, 3)

D.
(0, −1)

Answers

-1*/x+3y=12
-4x+3y=-3

-x-3y= -12
-4x+3y= -3
+-------------------
-5x= -15
x=3

x+3y=12

3+3y=12

3y=9 y=3

(x,y)=(3,3)

$x+3y=12\n-4x+3y=-3\n\nx+3y=12\n4x-3y=3\n------\n5x=15\nx=3\n\n3+3y=12\n3y=9\ny=3\n\n(3,3)$

How is a tip similar to a sales tax? How is it different?

Answers

Answer:

Tax is for the government to provide you stuff.

Tip is for service of someone

Step-by-step explanation:

Compare and contrast tax and discount.

Answers

Tax is adding to what your pay is and discount is reducing the price of the thing your buying.That is what is diffrent about it.One is adding and one is subtracting.I don't know whats the same, this is just contrasting.

Which of the following graphs described by the function given below y=3x^2+7x+2

Answers

Answer:

*Parabola that opens up

*y-intercept is 2

*x-intercepts are -1/3 and -2

*vertex is (-7/6 , -25/12)

Step-by-step explanation:

I will describe what this graph looks like.

First, the graph is quadratic because it is in the form ax² + bx + c. The function must be in the shape of a parabola. Parabolas look like a "U" shape.

Whether "a" is negative or positive represents of the parabola opens up or down. Since "3" is positive, the parabola opens up.

"c" represents the y-intercept. The y-intercept is when the graph touches the y-axis. The function must have a y-intercept of positive 2.

We can also find its x-intercepts, also called roots/zeroes, by substituting into the quadratic formula $x=\frac{-b±\sqrt{b^(2)-4ac } }{2a}$ (Ignore the Â).

Using the form ax² + bx + c, we know:

a=3; b=7; c=2

Substitute into the formula.

$x=\frac{-b±\sqrt{b^(2)-4ac } }{2a}$

$x=\frac{-7±\sqrt{7^(2)-4(3)(2) } }{2(3)}$

$x=(-7±√(25 ) )/(6)$

$x=(-7±5 )/(6)$

Split the equation at the ± sign.

$x=(-7+5 )/(6)$

$x=(-2)/(6)$

$x=-(1)/(3)$

$x=(-7-5 )/(6)$

$x=(-12 )/(6)$

$x=-2$

The graph has x-intercepts -2 and -1/3.

We can find the vertex of the graph. It is the part of the parabola that is the lowest (or highest, is it opens down).

Find the midpoint of the x-intercepts for the vertex x-coordinate:

(-1/3 - 2)/2 = (-1/3 - 6/3)/2 = (-7/3)*(1/2) = -7/6 = -1.167 = x

Substitute the vertex x-coordinate into the formula to find the "y" in vertex.

y=3x²+7x+2

y=3(-7/6)²+7(-7/6)+2

y= 147/36 + (-49/6) + 2

y= 147/36 + (-294/36) + 72/36

y= (147-294+72)/36

y = -75/36

y = -25/12 = -2.083

The vertex is (-7/6 , -25/12) OR about (-1.167, - 2.083).

Final answer:

The function $y=3x^2+7x+2$ represents a parabola. This is graphed by creating a series of (x,y) pairs and plotting them. The resultant shape is a parabola opening upwards.

Explanation:

The graph described by the function $y=3x^2+7x+2$ is a parabola as this is a quadratic function. To depict this graph, you plot specific points determined by varying the values of x and calculating the corresponding y values.

For instance, if x is 0, y would be 2 ( $since 3*0^2+7*0+2=2$ ), so (0,2) is one point on the graph. You continue this process with different x values to generate a series of (x,y) pairs, which you can then plot on a graph. Once you've plotted these points, you can connect them to see the graphical representation of the function.