All categories

3 years ago

Gloria says the two expressions ¼ (12x + 24) - 9x and -6 (x+1) are equivalent. Is she correct? Explain how you know.

Mathematics

1 answer:

nasty-shy [4]3 years ago

4 0

Answer: ✧･ﾟ: *✧･ﾟ:* No, they are not equivalent. *:･ﾟ✧*:･ﾟ✧

Step-by-step explanation:

♥*♡∞:｡.The first expression is equal to 3x + 24 - 9x, or 24 - 6x, and the second equation equals 6-6x. If you set them equal to eachother, you get 24 - 6x = 6 - 6x. The 6x's cancel out, so you're left with 24 = 6, which is not true. The expressions are not equivalent. ｡.｡:∞♡*♥

You might be interested in

G(b) = 5b- 9 h(b) = (b - 1)^2 Evaluate. (hog)(-6) =

laiz [17]

Given:

The two functions are:

$g(b)=5b-9$

$h(b)=(b-1)^2$

To find:

The value of $(h\circ g)(-6)$ .

Solution:

We have,

$g(b)=5b-9$

$h(b)=(b-1)^2$

We know that,

$(h\circ g)(b)=h(g(b))$

$(h\circ g)(b)=h(5b-9)$

$(h\circ g)(b)=[(5b-9)-1]^2$

$(h\circ g)(b)=[5b-10]^2$

Putting $b=-6$ , we get

$(h\circ g)(-6)=[5(-6)-10]^2$

$(h\circ g)(-6)=[-39-10]^2$

$(h\circ g)(-6)=[-49]^2$

$(h\circ g)(-6)=2401$

Therefore, the value of $(h\circ g)(-6)$ is 2401.

7 0

3 years ago

Urgent please help I'll give you a heart and 5 stars

Ugo [173]

Answer:

Step-by-step explanation:

6 0

3 years ago

How do i get a equation that equals 24 using the numbers 8 3 5 and 1 with a 24 card using multiplication negative times division

ElenaW [278]

Answer:

[(8-3)×5]-1=24

Step-by-step explanation:

[(8-3)×5]-1=24

[(5)×5]-1=24

[5×5]-1=24

[25]-1=24

25-1=24

24=24

3 0

4 years ago

Read 2 more answers

Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative startfraction one-third endfr

egoroff_w [7]

The equation represents the line that passes through (–6, 7) and (–3, 6) $\rm y=\dfrac{-1}{3}x+5$ .

<h3>What is the slope of the equation?</h3>

For all lines in slope y-intercept form, it would be very simple to just find the answer by finding yourself the slope and y-intercept of the line in question.

The slope of the line is;

$\rm m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m =\dfrac{7-6}{-6-(-3)}\\\\m = \dfrac{1}{-3}$

The equation represents the line that passes through (–6, 7) and (–3, 6) is;

$\rm y=\dfrac{-1}{3}x+b\\\\6=\dfrac{-1}{3}(-3)+b\\\\6=1+b\\\\b = 6-1\\\\b=5$

The required line of the equation is;

$\rm y =mx+c\\\\y=\dfrac{-1}{3}x+5$

Hence, the equation represents the line that passes through (–6, 7) and (–3, 6) $\rm y=\dfrac{-1}{3}x+5$ .

To know more about the equation of line click the link given below.

brainly.com/question/8955867

3 0

2 years ago

Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of 15, the proportion of people

Nataliya [291]

Answer: 0.0228 .

Step-by-step explanation:

Given, IQ scores are approximately normally distributed with a mean of 100 and standard deviation of 15

Let X denotes the IQ score.

Then, the proportion of people with IQs above 130 is

$P(X>130)=P(\dfrac{X-mean}{ standard\ deviation}>\dfrac{130-100}{15})\\\\= P(Z>2)\ \ \ \[Z=\dfrac{X-mean}{ standard\ deviation}]$

$=1-P(Zz)=1-P(Z$

Hence, the proportion of people with IQs above 130 is 0.0228 .

4 0

3 years ago