Which graph represents the solution to 5 +8x <3(2x + 4)?
A:
-10-9-8 -7 -6 -5 4 -3 -2 -1 0
1
2
3
4
5
6 7 8
9 10
B:
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
3
4 5 6 7 8 9 10
C:
-10 -9-8-7-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
D:
-10-9-8-7-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
A
B
D

Which Graph Represents The Solution To 5 +8x &lt;3(2x + 4)?A:-10-9-8 -7 -6 -5 4 -3 -2 -1 0123456 7 89

Answers

Answer 1

Answer:

Option D

Step-by-step explanation:

Given the inequality statement: 5 + 8x < 3(2x + 4):

We must solve for the solution of the given inequality statement.

First, distribute 3 into the parenthesis:

5 + 8x < 3(2x + 4)

5 + 8x < 6x + 12

Next, subtract 6x from both sides:

5 + 8x - 6x < 6x - 6x + 12

5 + 2x < 12

Then, subtract 5 from both sides:

5 - 5 + 2x < 12 - 5

2x < 7

Divide both sides by 2 to solve for x:

[tex]\displaystyle\mathsf{\frac{2x}{2}<\:\frac{7}{2}}[/tex]

[tex]\displaystyle\mathsf{x<\:\frac{7}{2}}[/tex]  

Since  [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] = 3.5, and that the inequality symbol is "<," then it means that   [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] or 3.5 is not included as an endpoint.  This corresponds to an empty circle on the 3.5 mark on the number line, pointing towards the left (indicating that the values must be less than 3.5).

Therefore, the correct answer is Option D.


Related Questions

2. If a= 2, b= 3 and c= 3,evaluate: i) a+ 2b ii) a+b+c​

Answers

Answer:

[tex]i)a + 2b = 2 + 2(3) = 2 + 6 = 8 \\ ii)a + b + c = 2 + 3 + 3 = 2 + 6 = 8[/tex]

Answer:

a = 2, b = 3 and c = 3

i.)

a + 2b

2 + 2(3) = 2 + 6 = 8

ii.)

a + b + c

2 + 3 + 3 = 8

Thus, The answer of i.) is 8 and ii.) is 8

-TheUnknownScientist 72



Use properties of addition to find each sum mentally. Show
your steps and identify the properties that you used.
1. 9 + 6 + 31 =

Answers

9 + 6 = 15
15 + 31 = 46

added 9 and 6 to get 15, then added 15 and 31 to get 46.

Sarah is making scarves. She has 10 1/2 yards of fabric to make the scarves. If each scarf requires 4 yards of fabric, how many scarves can Sarah make? PLEASE HELP ​

Answers

Answer:

2

Step-by-step explanation:

We know 10 1/2 is basically 10.5 or 21/2

To find the max amount of scarves she can make, simply divide the number of yards she has by 4. This will get you the number of scarves she can create.

[tex]\frac{21/2}{4} = \frac{21}{2} * \frac{1}{4} = 21/8 = 2.625[/tex]

Well.. we don't want to make .625 of a scarf since that would be ridiculous, so we will round it down to 2 since we can't make 3 either.

The max amount of scarves she can make is 2.

Click on the solution set graphic until the correct one is displayed.

Answers

Answer:

empty set

Step-by-step explanation:

Answer: { } or empty set

the choses are:

{ } or empty set

{ infinite set of points on like}

{ point in quadrant I }

In a horse​ race, how many different finishes among the first 3 places are possible if 7 horses are​ running? (Exclude​ ties)

There are a possible___different finishes.

Answers

Answer:

7 x 6 x 5 = 210

Step-by-step explanation:

its a combination's problem.

7 horses are eligible for first place.

6 of those are eligible for 2nd given that one of the 7 finished first.

similarly 5 of the remaining are eligible for 3rd place given 2 horses have taken the first 2 spots.

therefore 7 x 6 x 5 possible combinations = 210 combinations.

Question 9 of 20
Which of the following is a polynomial?
A. 11x
B. 2x2 - X
C. 3x2 +6x
D. 1-5x2
X

Answers

Answer:

3x2+6x is a polynomial. Polynomials are algebraic expressions in which the variables have only non-negative integer powers. For example,: 5x2 - x + 1 is a polynomial.

Can someone please help me I will mark u brilliant

Answers

First one is 3/4 and second one is 4/9

PLS I NEED HELP FOR THIS!​

Answers

make all of the fractions have the same denominator, although what you do to the bottom you have to do to the top

for example 1:
3/5 - 1/7 the closest denominator that they both are able to multiply up to is 35 (7x5 and 5x7) so change them both and then multiply the top (1x5 and 3x7) then subtract giving you your answer

(not 100% sure i have not done these for years but that’s all i remember if you have notes check those fs!!!!)

y=−4x−3 y=−2x+1 ​ ( Ignore this part i had to write it)

Answers

Answer:

Solve equation [2] for the variable y

[2] y = -2x + 1

// Plug this in for variable y in equation [1]

[1] (-2x+1) + 4x = -3

[1] 2x = -4

// Solve equation [1] for the variable x

[1] 2x = - 4

[1] x = - 2

// By now we know this much :

y = -2x+1

x = -2

// Use the x value to solve for y

y = -2(-2)+1 = 5

Solution :

{y,x} = {5,-2}

please solve thank you​

Answers

Answer: probably A

Step-by-step explanation:

What is the coefficient of the first term in this expression?
4r+q3r2+8q2r

Answers

Answer:

4

Step-by-step explanation:

what is the simplest from of the ratio 40:16 ?

Answers

Answer:

5 : 2

Step-by-step explanation:

40:16

Divide each side by 8

40/8:16/8

5 : 2

Answer:

5 :2

Step-by-step explanation:

40 : 16

= 40/16

= 4*10 / 4*4

= 10/4

= 5*2 / 2*2

=5/2

HELPPPP THSI IS THE ONEEE HELP HELP

Answers

Answer:

the answer is 9 b 3 1 5 ghhj

Answer:

Step-by-step explanation:

Volume of a cube =side³

                        [tex]=(\dfrac{1}{5}b^{3})^{3}\\\\\\=(\dfrac{1}{5})^{3}*b^{3*3}\\\\ = \dfrac{1}{125}b^{9}[/tex]

                         

Evaluate the equation 15d = -105

Answers

Answer:

Step-by-step explanation:

    15d = -105

15d/15 = -105/15

        d = -7

15d = -105

d = -105/15

d = -7

____

RainbowSalt2222 ☔

Plssssssssssssssssss slove I don't know how to solve this

Answers

Answer:

I think the second blank is 5 and the third blank is 2.

Input 1: Output 5

Input 5: Output 2

Realtor Elaine Snyderman took a random sample of 12 homes in a prestigious suburb of
Chicago and found the average appraised market value to be $780,000, and the standard
deviation was $49,000. Test the hypothesis that for all homes in the area, the mean appraised
value is $825,000 against the alternative that it is less than $825,000. Use the 0.05 level of
significance

Answers

Using the t-distribution, it is found that since the p-value of the test is of 0.0044 < 0.05, it can be concluded that found the average appraised market value is less than $825,000.

The null hypothesis is:

[tex]H_0: \mu = 825000[/tex]

The alternative hypothesis is:

[tex]H_1: \mu < 825000[/tex]

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.

[tex]\mu[/tex] is the value tested at the null hypothesis.

s is the standard deviation of the sample.

n is the sample size.

For this problem, the values of the parameters are: [tex]\overline{x} = 780000, \mu = 825000, s = 49000, n = 12[/tex].

The value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{780000 - 825000}{\frac{49000}{\sqrt{12}}}[/tex]

[tex]t = -3.18[/tex]

The p-value of the test is found using a left-tailed test, as we are testing if the mean is less than a value, with t = -3.18 and 12 - 1 = 11 df.

Using a t-distribution calculator, it is of 0.0044.

Since the p-value of the test is of 0.0044 < 0.05, it can be concluded that found the average appraised market value is less than $825,000.

A similar problem is given at https://brainly.com/question/25369247

In the xy-coordinate plane shown, line L passes through point C and has a slope of -2. A dilation of line L with center A and a scale factor of 3 will produce a new through point C’, the image of point C with coordinates

Answers

Answer:

Step-by-step explanation:

Dilation of a line about a point not on the line shifts the line but leaves the slope intact .

New line slope will be -2

As both A and C lie on a horizontal line y = 2, C' will also lie on the same line

The distance between A and C is 0 - 2 = -2

a scale factor of 3 means C' is -2(3) = -6 units left of A

C' = (2 - 6, 2) = (-4. 2)

(3y^3)^2 without exponents

Answers

When raising one power to another power multiply the two powers together:

(3y^3)^2 = 3y^(3 * 2) = 3y^6

Answer: 3y^6

The expression [tex](3y^3)^2[/tex] is simplified by applying the exponent rules and the value is [tex]9y^6[/tex]

Given data:

The expression [tex](3y^3)^2[/tex]  can be simplified by applying the exponent rules. To remove the exponents, we multiply the base and raise it to the power of the product of the outer and inner exponents. In this case, the base is [tex]3y^3[/tex], and the exponent is 2.

First, square the numerical coefficient, which is 3, to get [tex]3^2 = 9[/tex]. Next, apply the exponent to the variable term [tex]y^3[/tex] by multiplying the outer exponent (2) with the inner exponent (3), resulting in  [tex]y^(3 * 2) = y^6[/tex].

Hence, [tex](3y^3)^2[/tex]  simplifies to [tex]9y^6[/tex] . This means that the expression represents the result of squaring the quantity [tex]3y^3[/tex], resulting in 9 times the sixth power of y. It's essential to understand and apply exponent rules to efficiently simplify expressions and evaluate mathematical operations without using exponents directly.

To learn more about exponential form, refer:

https://brainly.com/question/29337692

#SPJ3

Fifteen girls left a mixed group of boys and girls. There remained two boys for each girl. After this, 45 boys leave the group, and there were 5 girls for each boy. Determine the number of girls in the
original group.

Answers

Sorry i cant answer this way too hard for me

write an equation of the line with a slope of -8 and a y-intercept of 2

Answers

Answer:

y=−2x+8

Step-by-step explanation:

https://socratic.org/questions/how-do-you-write-an-equation-of-a-line-with-slope-2-y-intercept-8

i didn't mean to choose an answer

Answers

Answer:

50

Step-by-step explanation:

Volume of rectangular pyramid=(l*w*h)/3, so 150/3=50

Answer:

V=1/3 * L *W *H

V= 1/3 *5* 3 *10

V=1/3 *150

V= 50 m2

Step-by-step explanation:

your answer

23/24 as a decimal rounded to the nearest hundredth

Answers

Answer:

95.80

Step-by-step explanation:

hope I helped BESTIEE

Answer:

Step-by-step explanation:

23/24 as a decimal is 0.95833333333333.

simplify the fraction 90/100

Answers

Answer:

9/10

Step-by-step explanation:

hope this helps

Answer:

9/10

Step-by-step explanation:

divide top and bottom by 10

For the function: f(x) = 3x^2 +5x – 8, find and simplify

A. f(x) - f(a) divided by x-a

b.f(x +h) - f(x) all divided by h

Answers

Answer:

[tex]f(x) = 3 {x}^{2} + 5x - 8[/tex]

[tex]f(x + h) = 3 ({x + h})^{2} + 5(x + h) \\ = {3x}^{2} + {3h}^{2} + 6xh + 5x + 5h - 8 \\ [/tex]

answer will be 6x+5

2x + 3x/4 = 11
Please solve I am doing it for homework :)

Answers

Answer:

x = 4

Step-by-step explanation:

2x + 3x/4 = 11
x4 x4. = x4
8x + 12x =44
20x = 44
/20 =/20
x = 44/20 = 22/10

What value of x satisfies the equation 1/2 x-5(x-1/3)=5/4 x+3

Answers

Answer:

this is the answer....

Answer:

x - (5 -sqrt149 ) / 4  and x-  (sqrt149+5)/4   = = x - -4.3016389  and x - 4.3016389

Step-by-step explanation:

1/2 x-5(x-1/3)=5/4 x+3 = ( 1/2x^2-5x -1/6x -5/3)  = (5/4x+3)  = ( 1/2x^2-6 5/6)  = (5/4x+3)  convert 5/4 to  12ths = *3 =  15/12  and 5/6 * 2 = 10/12 =  ( 1/2x^2-6 10/12)  = (15/12x+3)  = 1/2 x^2 - 15/12x -6 10/12 - 3 = 0   = 1/2 x^2 - 15/12x -3 10/12 = 0 then multiply by 2 to make 1/2 whole 1/2 x^2  (2)- 15/12x (2) -3 10/12 (2) = 0 =  x^2 - 30 /12x -6 20/12 (2) = 0  simplify irregular fraction  x^2 - 2 2/4x  -7 3/4  = 0  then do the abc quadratic formula = x - (5 -sqrt149 ) / 4  and x-  (sqrt149+5)/4   =  x-  -17.2065556/4   = x - -4.3016389    and 17.2065556/4 =x - 4.3016389

Can please help me simplify this please


3/8

6/15

Answers

3/8 -> 3/8 (it is fully simplified)

6/15 -> 2/5 (dividing the top and the bottom by 3)

Have a nice day!

     If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!

Answers

Answer: (5,1)

Step-by-step explanation:

Divide both sides of the equation by 3, Eliminate the x's and you should have 6y=6. After solving y to be 1 plug it into one of the equations to find x

Evaluate 3m + p if m = 2 and p = 4.

Answers

>> Answer

_________

[tex] \: [/tex]

3m + pm = 2

3m + 4m = 2

(3 + 4)m = 2

7m = 2

m = 2/7

Use the given conditions to write an equation for the line in slope-intercept form.



Passing through (5, 3) and (4, 6)

Answers

Answer:

y=-3x+18

Step-by-step explanation:

since they gave us two points, we can find the slope: (y_2 - y_1)/(x_2 - x_1) -> (6-3)/(4-5)=(3)/(-1)=-3 so the slope is -3. now we have [tex]y=-3x+b[/tex]. next we have to find b. to do this just plug a point into the equation: 3= -3*5 +b, 3=-15+b, b=18. so now we have y=-3x+18

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