Answer:
x=4
Step-by-step explanation:
(2x+3)^2=121
2x+3=square root of 121
2x+3=11
2x=11-3
2x=8
x=4
(in a square all sides are equal therefore area =length ×width where length and width=2x+3)
Use absolute value to express the distance between 8 and -5
Answer:
The distance between points 8 and -5 is 13
Step-by-step explanation:
We need to find distance between points 8 and -5
The formula used to find the distance is: [tex]Distance=|b-a|[/tex]
Absolute value is used to get only positive values. i.e |-1|=1 if required.
We are given: b=8 and a=-5
Putting values and finding distance
[tex]Distance=|b-a|\\Distance=|8-(-5)|\\Distance=|8+5|\\Dstance=|13|\\Distance=13[/tex]
So, the distance between points 8 and -5 is 13
The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?
Answer:
$52.50
Step-by-step explanation:
Set up the ratio:
[tex]\frac{24.50}{7}[/tex]
Simplify in order to find the cost per gallon.
The cost per gallon is $3.50 because 7 divided by 7 is one and 24.50 divided by seven is 3.5.
Now you have this left:
[tex]\frac{3.50}{1}[/tex]
Multiply the denominator by 15 since Robert needs 15 gallons.
Then, multiply the top by 15 because whatever you do to the denominator, you have to do to the top.
Now you have this left:
[tex]\frac{3.5}{1}[/tex] = [tex]\frac{52.50}{15}[/tex]
Therefore, Robert needs to pay $52.50 in order to recieve 15 gallons of gasoline.
ANSWER ASAP
Which equation represents the linear function that is shown on the graph below?
y = 1/2x + 4
y = 1/2x-2
y= 4x -2
y= -2x +4
Answer:
y=1/2x-2
Step-by-step explanation:
All of the points in the picture are on the same line.
YA
(6, 10)
(a, 8)
(4,5)
(2, 2)
1. Find the slope of the line. Explain or show your reasoning,
2. Write an equation for the line.
3. Find the values for a and b. Explain or show your reasoning
4. What is the y-coordinate when x = 0? Explain or show your reasoning.
Answer:
Did you ever get the answers??
The equation of the line is y = 2x - 2.
What is the point-slope form of a line?If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).
The graph of the line is given.
(1)
The line passes through points (2,2) and (6,10).
The slope of the line is:
m = (10 - 2)/(6 - 2)
m = 8/4
m = 2
(2)
The equation of the line with a slope of m =2 and passes through (2,2) is:
y - 2 = 2(x - 2)
y = 2x - 4 + 2
y = 2x - 2 (1)
(3)
The line passes through points (4,b) and (a,8), therefore, from equation (1):
b = 2(4) - 2
b = 6, and
8 = 2a - 2
2a = 10
a = 5
(4)
Substitute x = 0 into equation (1):
y = 2(0) - 2
y = -2
Hence, the equation of the line is y = 2x - 2.
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BRAINLIEST ON THE LINE INFO IN PHOTO BELOW
Answer:
32 days is my final answer
Step-by-step explanation:
***Answer when you can!***
Evaluate functions from their graph
g(-4)=??
Answer:
1
Step-by-step explanation:
That is the y coordinate when x is -4Write a equation in slope-intercept form of the line that passes though (-5,19) and (5,13)
Answer:
y= -3/5x + 16
Step-by-step explanation:
slope intercept form: y=mx+b
1. Find the slope: rise over run so 13-19/ 5-(-5) = -3/5
M=-3.5
2. Find the y - intercept by using the point slope form: b= 16
So, y= -3/5x + 16
Hope this helps :)
Pls show work or at least explain its essy but i need help
Answer: I think its D
Step-by-step explanation: If im right plz give brainliest
2. How can the trend line equation be used to
predict the cost of gas per gallon in the year
1992?
a. Substitute 92 for x in the equation.
b. Substitute 92 for y in the equation.
c. Substitute 22 for x in the equation.
d. Substitute 22 for y in the equation.
Answer:
c. Substitute 22 for x in the equation.
Step-by-step explanation:
The scatter plot of this question is missing, so i have attached it.
The slope equation of this is written as;
y = mx + b
Where;
y is the values in the y-axis
x is the values in the x-axis
b is the intercept on the x-axis
Now, from the scatter plot of the trend line, we can see that the values in the x-axis represent the number of years after 1970 while the y-axis shows us the price of gas per gallon for each corresponding year.
Now, we want to use the trend line equation be used to predict the cost of gas per gallon in the year 1992.
Year 1992 means 22 years after 1992. Since we have our y-intercept from the scatter plot to be 0.25, then to find the cost of gas per gallon in the year 1992, we will just plug in 22 for x and 0.25 for b into the slope line equation.
Answer:
C
Step-by-step explanation:
I know
Which graph represents the solution set for the quadratic inequality x^2 + 2x + 1 > 0?
Answer:
The answer you selected is correct.
Step-by-step explanation:
The answer has to be greater than 0 so the bottom graph is correct.
The graph that represents the solution set for the quadratic inequality is option (C) is the correct answer.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.
For the given situation,
The quadratic inequality is x^2 + 2x + 1 > 0
[tex]x^2 + 2x + 1 > 0[/tex]
⇒ [tex](x+1)(x+1) > 0[/tex]
Plot this function on the graph as shown below.
From the graph, the function extends in both positive and negative direction at x = -1.
On number line, we can denote it as x = -1 and extends up to infinity on both sides.
Hence we can conclude that the graph that represents the solution set for the quadratic inequality is option (C) is the correct answer.
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If f(x)=4x-16andtheDomainis{-2,-1,0,3,6},findtheRange of the function. Show all work.
Answer:
R={-24,-20, -16, -4, 8}
Step-by-step explanation:
f(x)=4x-16
f(-2)=4(-2)-16
f(-2)=-8-16
f(-2)=-24
f(x)=4x-16
f(-1)=4(-1)-16
f(-1)=-4-16
f(-1)=-20
f(x)=4x-16
f(0)=4(0)-16
f(0)=0-16
f(0)=-16
f(x)=4x-16
f(3)=4(3)-16
f(3)=12-16
f(3)=-4
f(x)=4x-16
f(6)=4(6)-16
f(6)=24-16
f(6)=8
HELP ASAPPPPP 5 POINTSSSSS
Answer:450
Step-by-step explanation:
first subctract then add
Answer:
The answer is C. The vertex is (-1,-12)
Step-by-step explanation:
Is this relation a function? Explain.
Answer:
No
Step-by-step explanation:
3 and 4 cannot both equal A since 3 doesn't =4
Answer:
yes if the numbers are the x variable, no if the numbers are y variable
Step-by-step explanation:
James has 30 candies. How many kids (including James) can share these candies evenly? It has to be multiple things, I think.
Answer:
So if James has 30 candy it would be best to do it in multiple ways in my opinion, so basically you can divide it among 3 kids including James where the kids get 10 each or you can divide it among 6 kids (still including James) and they all get 5 pieces of candy! Hope this helps and stay safe :)
Step-by-step explanation:
Possible Answers:
14 kids and james- 2 candies each
9 kids and james- 3 candies each
1 kid and james - 15 candies each
4 kids and james - 6 candies each
2 kids and james - 10 candies each
There might be more, but those are the ones at the top of my head
I hope this helped, please mark Brainliest, thank you!! :)
Determine which of following table is NOT a function.
Answer: C
Step-by-step explanation:
C beacause one X cannot have two different Y values
The perimeter of a rectangle is 36 cm. The length is 10 cm longer than the
width. What are the length and width of the rectangle?
Answer:
Below
Step-by-step explanation:
X(x+10)=36
x= -5+sqrt 61 or-5-sqrt 61
since only the first one bigger than0, x is -5+sqrt61 and other side is sqrt61+5
Parallel lines m and n are intersected by transversal t. The measure of angle 1 in the diagram below is 112 degrees.
Which of the following angles also measure 112 degrees? select ALL that apply
A. Angle 2
B. Angle 3
C. Angle 4
D. Angle 5
E. Angle 6
F. Angle 7
Answer:
Step-by-step explanation:
The answer will be c if not then a
The value of the angles are ∠2 = 68, ∠4 = 68, and ∠3 = 112.
What is an angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Supplementary angles are the angles having a sum of 180 degrees.
∠1 + ∠4 = 180
112 + ∠4 = 180
∠4 = 180 -112= 68°
Vertically opposite angles are always equal.
∠4 = ∠2
∠2 = 68
Vertically opposite angles are always equal.
∠1 = ∠3
∠3 = 112°
Therefore, the value of the angles are ∠2 = 68, ∠4 = 68, and ∠3 = 112.
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can someone please help me
Answer:
6x^2 +7x-20
Step-by-step explanation:
Answer:
6x^2 + 7x - 20
Step-by-step explanation:
First Terms: 2x * 3x = 6x^2
Out Side: 2x * -4 = -8x
Inside: 5*3x = 15x
Last: 5* - 4 = - 20
Answer: 6x^2 - 8x + 15x - 20
Answer: 6x^2 + 7x - 20
Shawn said that in standard notation,
7.142 x 107 will have 7 zeros after the
2 because the exponent is a 7. Is he
correct? Why or why not?
Answer:
This is incorrect.
Step-by-step explanation:
You move the decimal 7 places to the right after the 7. Since 2 is the third digit, you're adding 4 more zeros.
Write the equation of the line in point slope form.
(10 Points)
Answer:
y=-1/4(x-4)+3
Step-by-step explanation:
work is in the picture
Please can u help me
Answer: p=8
Step-by-step explanation:
FH ≅ FJ --> diagonals bisect in parallelograms--> rectangle is a form of a parallelogram 4p-22 = p+2 --> Transitivity p = 8 --> Algebrawhat is the slope of the line that passes through the points (7, -5) and (10, -7.5)?
A:
[tex] \frac{5}{6} [/tex]
B:
[tex] \frac{6}{5} [/tex]
C:
[tex] - \frac{5}{6} [/tex]
D:
[tex] - \frac{6}{5} [/tex]
Answer:
C. [tex]-\frac{5}{6}[/tex]
Step-by-step explanation:
just use the equation [tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] So our first point (7,-5) will be [tex]x_1=7,y_1=-5[/tex]and our second point (10, -7.5) will be [tex]x_2=10,y_2=-7.5[/tex] Then substitute[tex]slope=\frac{(-7.5)-(-5)}{(10)-(7)}=\frac{-2.5}{3}=-\frac{5}{6}[/tex]The ratio of commercial time to television program time is 13 minutes to 47 minutes. How many minutes of commercial time in a two-hour television show?
Answer:
26 minutes
Step-by-step explanation:
13:47=1 hour
Multiply by 2
26:94= 2 hours
C-17 = 19
Hi please help
Answer:
C=36
Step-by-step explanation:
C-17=19
C=19+17
C=36
3/8 + 1/8 - 2/7 + 1/4
Answer:
0.46428571428
Step-by-step explanation:
Answer:
13/28Step-by-step explanation:
3/8 + 1/8 = 4/8 = 1/2 = 0.5
1/2 - 2/7 = 3/14 = 0.214285714286
3/14 + 1/4 = 13/28 = 0.464285714286
13/28 or 0.464285714286Hope this helps! <3
Members of the band are selling candy bars to raise money. The director uses this equation to calculate the amount of profit, p, made from selling n candy bars. p = 1.25n - 475 How many candy bars must be sold to make a profit of $950?
Answer:
380 candy barsStep-by-step explanation:
Step one:
we are told that the expression for profit is
[tex]p = 1.25n - 475[/tex]-----------------1
the above equation represents the situation
given
profit is $950
Required
n=number of bars
950=1.25n-475
collect like terms
950-475=1.25n
475=1.25n
divide both sides by 1.25
n=475/1.25
n= 380candy bars
-3x - 5y = -15
-3 - 3y = -3
Answer:
1) x = -y + 5
y = - 3/5x + 3
2) y = 0
Step-by-step explanation:
The First-person to get correct will get BRAINLESIT
I think of a number, multiply it by four, and subtract three. I get eleven. a) Using the statement above, form an equation. Use the letter 'x' for the unknown number.
b) Solve the equation
A table showing Number, Value, and Total Value. The first row shows Nickels, with the entries, n, 0.05, and 0.05 n. The second row shows Quarters, with the entries 36 minus n, 0.25, and 0.25 left-parenthesis 36 minus n right-parenthesis. The last row has Total, with the entries 36, blank, 6.
Alexandra has 36 coins valued at $6.00. She has only nickels and quarters. Which equation can be used to solve for the number of nickels, n?
0.05n + 0.25(36 – n) = 6
0.05n + 0.25(36 – n) = 36
n + 0.05 = 0.05n
n + (36 – n) = 36
Answer:
a- 0.05n + 0.25(36 – n) = 6
Step-by-step explanation:
i just did it on edg
The value of each coin (Nickels and Quarters) determines their number in a money sum
The correct option that gives the equation that can be used to solve for the number of nickels, n, is option;
0.05·n + 0.25·(36 - n) = 6
Reason:
The given equation can be presented as follows;
[tex]\begin{array}{|c|c|c|c|}&\mathbf{Number}&\mathbf{Value}&\mathbf{Total \ value}\\&&&\\Nickels&n&0.05&0.05 \cdot n\\Quarters&36 - n&0.25 & 0.25 \cdot(36 - n)\\&&&\\\mathbf{Total}&36&&6\end{array}\right][/tex]
From the above table, we have;
0.05·n + 0.25·(36 - n) = 6
Solving the above equation gives;
0.05·n + 9 - 0.25·n = 6
-0.2·n = 6 - 9 = -3
[tex]n = \dfrac{3}{0.2} = 15[/tex]
Therefore;
The equation that can be used to solve for the number of nickels, n, is; 0.05·n + 0.25·(36 - n) = 6
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Please help I am being timed!
Solve
7k – 8 = 28 + 24k
A. -2 2/17
B. -2
C. -1 5/31
D. 1 3/17
Sorry if this is easy I'm bad at math