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.
Evaluate 3m + p if m = 2 and p = 4.
_________
[tex] \: [/tex]
3m + pm = 2
3m + 4m = 2
(3 + 4)m = 2
7m = 2
m = 2/7
Plssssssssssssssssss slove I don't know how to solve this
Answer:
I think the second blank is 5 and the third blank is 2.
Input 1: Output 5
Input 5: Output 2
Can someone please help me I will mark u brilliant
Question 9 of 20
Which of the following is a polynomial?
A. 11x
B. 2x2 - X
C. 3x2 +6x
D. 1-5x2
X
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.
Use properties of addition to find each sum mentally. Show
your steps and identify the properties that you used.
1. 9 + 6 + 31 =
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
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)
Click on the solution set graphic until the correct one is displayed.
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 }
2. If a= 2, b= 3 and c= 3,evaluate: i) a+ 2b ii) a+b+c
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
what is the simplest from of the ratio 40:16 ?
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
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]
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.
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.
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.
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
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
i didn't mean to choose an answer
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
Evaluate the equation 15d = -105
Answer:
Step-by-step explanation:
15d = -105
15d/15 = -105/15
d = -7
15d = -105
d = -105/15
d = -7
____
RainbowSalt2222 ☔
Can please help me simplify this please
3/8
6/15
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
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
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.
please solve thank you
Answer: probably A
Step-by-step explanation:
23/24 as a decimal rounded to the nearest hundredth
Answer:
95.80
Step-by-step explanation:
hope I helped BESTIEE
Answer:
Step-by-step explanation:
23/24 as a decimal is 0.95833333333333.
What value of x satisfies the equation 1/2 x-5(x-1/3)=5/4 x+3
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
2x + 3x/4 = 11
Please solve I am doing it for homework :)
Answer:
x = 4
Step-by-step explanation:
What is the coefficient of the first term in this expression?
4r+q3r2+8q2r
Answer:
4
Step-by-step explanation:
write an equation of the line with a slope of -8 and a y-intercept of 2
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
y=−4x−3 y=−2x+1 ( Ignore this part i had to write it)
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 HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!
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
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
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
simplify the fraction 90/100
Answer:
9/10
Step-by-step explanation:
hope this helps
Answer:
9/10
Step-by-step explanation:
divide top and bottom by 10
(3y^3)^2 without exponents
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
Use the given conditions to write an equation for the line in slope-intercept form.
Passing through (5, 3) and (4, 6)
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
PLS I NEED HELP FOR THIS!