In the equation 11 - 4(x +4) = 6x, the first step is to simplify 11

CONCEPTS OF ALGEBRA (question in picture) PLEASE HELP! 10 points

il63 [147K]

Hey there!

This equation we're given is a function. This means that we will get a certain output for each input. If your input is x, the output, or y, will be 0.3 of x plus 11.8. It appears that the independent variable (our x) is the age in the table and the height of the jump is the dependent variable (our y). We can plug some of the data into our function and see if it is true! We will use the first two columns of the table to test this out.

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Column 1

Age: 22

Height of Jump in Inches: 15.4

15.4=0.3(22)+11.8

15.4=6.6+11.8

15.4=18.4

This is equation is false, so this data point does not match the given function. We can check with one more column just to make sure, but just given this we immediately know that the given equation is not a good fit for the data.

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Column 2

Age: 24

Height of Jump in Inches: 17

17= 0.3(24)+11.8

17=7.2+11.8

17=19

This is equation is also false.

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Therefore, this equation is not a good fit for the data given.

I hope that this helps! Have a wonderful day!

3 0

3 years ago

HURRY PLEASE!!!!! Triangle RST is translated 2 units left and then reflected over the y-axis.

AVprozaik [17]

Answer:

The correct options are 1 and 2.

Step-by-step explanation:

The vertices of triangle are S(-4,4), T(-1,4), R(-1,1).

If triangle translated 2 units left,

$(x,y)\rightarrow (x-2,y)$

and then reflected over the y-axis,

$(x-2,y)\rightarrow (-x+2,y)$

The relation between image and preimage is

$(x,y)\rightarrow (-x+2,y)$ ..... (1)

The vertices of image are

$S(-4,4)\rightarrow S'(6,4)$

$T(-1,4)\rightarrow T'(3,4)$

$R(-1,1)\rightarrow R'(3,1)$

Therefore the vertices of image are S'(6,4),T'(3,4), R'(3,1).

1. A reflection over the y-axis and then a translation 2 units right is defined as

$(x,y)\rightarrow (-x+2,y)$

It is equivalent to relation 1, therefore option 1 is correct.

2. A 180 rotation about the origin, then a translation 2 units right, and then a reflection over the x-axis is defined as

$(x,y)\rightarrow (-x+2,y)$

It is equivalent to relation 1, therefore option 2 is correct.

3. A reflection over the y-axis and then a translation 2 units left is defined as

$(x,y)\rightarrow (-x-2,y)$

It is not equivalent to relation 1, therefore option 3 is incorrect.

4. A 180 rotation about the origin, then a translation 2 units left, and then a reflection over the x-axis is defined as

$(x,y)\rightarrow (-x-2,y)$

It is not equivalent to relation 1, therefore option 4 is incorrect.

5. A reflection over the x-axis and then a translation 2 units right is defined as

$(x,y)\rightarrow (x+2,-y)$

It is not equivalent to relation 1, therefore option 5 is incorrect.

6. A reflection over the x-axis and then a translation 2 units left is defined as

$(x,y)\rightarrow (x+2,-y)$

It is not equivalent to relation 1, therefore option 6 is incorrect.

Therefore the correct options are 1 and 2.

8 0

3 years ago

Read 2 more answers

N. Solve the expression. Use PEMDAS [2.1+(9.2 x 3.3)] x 0.8= -

densk [106]

Answer:

25.968

Step-by-step explanation:

The Google calculator will reliably use PEMDAS to evaluate an expression.

= (2.1 +30.36)×0.8

= 32.46×0.8

= 25.968

_____

If entering this expression into your calculator gives a different result, get a better calculator.

6 0

3 years ago

A line passes through the points (-1, -6) and (-4, 3). What is the equation of this line in slope-intercept form?

g100num [7]

Since we have two ordered pairs, we can find the slope by plugging them into (y2-y1)/(x2-x1) which translates to (3-(-6))/(-4-(-1))=9/-3=-3

Since the slope is -3, we have the equation y=-3x+b, but we don't know b. So we plug in values for x and y and solve for b.

-6=-3(-1)+b

-6=3+b

-9=b

So the y-intercept is -9 and the full equation is y=-3x-9 which means A is the only correct answer.

Hope this helped!

4 0

4 years ago

Emily thinks the perfect tomato sauce has 8 cloves of garlic in every 500{ mL} of sauce. Raphael's tomato sauce has 12 cloves of

igomit [66]

For perfect solution we need to have :- 8 colves in 500ml solution

500 ml has 8 cloves

1 ml has 8 / 500 cloves

100ml has 8 / 500 * 100 = 8/5 = 1.6 cloves

Raphael's mixture

900 ml has 12 cloves

1 ml has 12 / 900 cloves

100 ml has 12 / 900 * 100 = 12 / 9 = 1.33 cloves

so concentration of garlic in 100 ml solution of Raphael's solution is less than Emily's solution so it is not garlicky enough. ( option B)

5 0

3 years ago

Read 2 more answers

In the equation 11 - 4(x +4) = 6x, the first step is to simplify 11 - 4. True False