The graph of a linear relation passes through the point (-2,7) and has a slope of 1/6.
Determine an equation for this linear relation in slope intercept form.
Answer:
Step-by-step explanation:
eq. of any line withslope 1/6 is
y=1/6x+c
∵ it passes through (-2,7)
so 7=1/6(-2)+c
c=7+1/3=22/3
eq. of line is
y=1/6x+22/3
Answer:
y = 1/6x + 7 1/3
Step-by-step explanation:
Slope intercept form is y=mx+b where m is the slope and b is the y intercept
y = 1/6x+b
Substitute the point into the equation
7 = 1/6(-2)+b
7 = -1/3+b
Add 1/3 to each side
7 1/3 = b
y = 1/6x + 7 1/3
I need help ASAP!!Please help me
Answer:
Below
Step-by-step explanation:
To find the volume of a rectangular prism find the area of a face and multiply it by the height
V = lwh
= (12)(5)(12)
= 720 km^3
Hope this helps!
i am having troubles solving this 4(x+3)=x+42 can i get some help please.
Answer:
x=10
Step-by-step explanation:
Step 1: Multiply 4 with X and 3. You'll get 4x+12=x+42
Step 2: Keep the variable on one side and the number on the other side. you would subtract X and subtract 12. You'll get 3x=30
Step 3: Divide by the 3 on both sides and you'll get x=10
Given:
[tex] \\ ⇢ \tt \: 4(x + 3) = x + 42 \\ [/tex]
Solution:
[tex] \\ ⇢ \tt \: 4(x + 3) = x + 42 \\ \\ \\ \tt⇢ 4x + 12 = x + 42 \: \: \\ \\ \\ \tt \: ⇢4x - x = 42 - 12 \: \\ \\ \\ \tt \: ⇢3x = 30 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt \: ⇢x = \frac{30}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt \: \pink{ \pmb{ \mathfrak{⇢x = 10}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ [/tex]
Verification:
[tex] \\ ⇢ \tt \: 4(10+ 3) = 10+ 42 \\ \\ \\ \tt⇢ 40 + 12 = 10 + 42 \: \: \\ \\ \\ \tt \: ⇢52 = 52 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \: ⇢ \purple{ \pmb{ \bold{L.H.S = R.H.S}}}\\ \\ \\ [/tex]
Hence Verified!From the table below, determine whether the data shows an exponential function. Explain why or why not. x 3 1 -1 -3 y 1 2 3 4 a. No; the domain values are at regular intervals and the range values have a common sum 1. b. No; the domain values are not at regular intervals. c. Yes; the domain values are at regular intervals and the range values have a common factor 2. d. Yes; the domain values are at regular intervals and the range values have a common sum 1. Please select the best answer from the choices provided A B C D
Answer:
C
Step-by-step explanation:
you find the variable
If 2 < 20x - 13 < 3. what is one possible value for x?
Answer:
one possible value for x is 31/40
Step-by-step explanation:
Let's isolate the 20x term. Add 13 to all three terms:
2 + 13 < 20x - 13 + 13 < 3 + 13
and this simplifies to:
15 < 20x < 16
Dividing all three terms by 20, we get:
15/20 < x < 16/20
A fraction halfway between 15/20 and 16/20 is (31/20)/2, so
one possible value for x is 31/40.
Check by substituting this into the original equation and checking whether that equation is now true:
2 <20(31/40) - 13 < 3
or
2 < 31/2 < 16, or 2 < 15.5 < 16 (this is true, so 31/40 is a solution)
the ratio of 62 miles to 100 kilometers
9514 1404 393
Answer:
0.99779328
Step-by-step explanation:
The exact conversion factor is ...
1 mi = 1.609344
Then 62 miles is 62×1.609344 km = 99.779328 km.
The ratio of this to 100 km is ...
99.779328/100 = 0.99779328 . . . . ratio of 62 miles to 100 km
ILL GIVE A BRAINLISTYY HELP PLS
Answer:
?
Step-by-step explanation:
What is the result of rounding 8,888,888 to the nearest ten?
Answer:
8,888,890
Step-by-step explanation:
yup yup
express 23/7 in decimal form
Answer:
3.285714286
Step-by-step explanation:
Harold used 6 centimeters of tape to wrap 3 presents. What is the unit rate?
Answer:
2cm/present is the unit rate
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{Harold used \underline{\underline{6 centimeters of tape}} to wrap}\\\huge\text{\underline{\underline{3 presents}}. \underline{\underline{\underline{What is the unit rate?}}}}[/tex]
[tex]\huge\boxed{\star \ Formula: \mathsf{\dfrac{a}{b}= unit\ rate \ }\star}[/tex]
[tex]\huge\boxed{\mathsf{Equation\boxed{\rightarrow}\ \dfrac{6}{3} = \boxed{unit\ rate}}}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{6}{3} = \boxed{\bf unit\ rate}}}\\\\\\\huge\boxed{\mathsf{ 6 \ \boxed{\div} \ 3\ \boxed{= } \ \bf\boxed{\bf unit\ rate}}}\\\\\\\\\huge\boxed{\boxed{=} \bf \ 2}[/tex]
[tex]\huge\boxed{\star\ \textsf{Therefore, the UNIT RATE IS: \bf \boxed{\bf 2}}\ \star}[/tex]
[tex]\boxed{\boxed{\huge\text{Answer: the unit rate is \bf \boxed{\underline{\underline{\underline{\underline{\bf 2}}}}}}}}\huge\checkmark\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
The interquartile range is determined by the formula _________.
A. Third quartile - First quartile
B. Third quartile + first quartile
C. First quartile - third quartile
D. Maximum - minimum
Answer:
A)
Step-by-step explanation:
The inter quartile range is determined by the formula Third quartile - first quartile.
In a set, an inter quartile range is a measure of where the bulk of the data's lie
Help me please, IXL keeps messing me up
Help!!!! Please!! Thanks
never saw an indian guy asking for help in so simple question
Step-by-step explanation:
ans of 3rd given statement is true, conclusion, mb=nb
ans of 4th given statement is true, conclusion alt int angles of paralel lines are equal
find the length of one side of a regular hexagon if its perimeter is 24 x+48
A. 3x+3
B. 6x+12
C. 4x+8
D. 8x+16
Answer:
C ) 4 x + 8
Step-by-step explanation:
( 24 x + 48 ) / 6
4 x + 48
The length of a regular hexagon is:
4x ₊ 8
How many sides do a hexagon have? How do we calculate the length and parameter of it?
A regular hexagon have six sides.
The area of a regular hexagon can be calculated using the formula (33 s2)/2, where s is the side length. The lengths of all six sides of a hexagon can be added to determine its perimeter. Perimeter = 6 s, where s is the length of one side, is the formula used to determine the size of a regular hexagon.
Solution:
Given,
parameter of a hexagon = 24x ₊ 48
length of one side of a hexagon s = p ÷ 6
s = 24x ₊ 48 ÷6
s = 4x ₊ 8
Hence we get the length of one side as 4x ₊ 8
Learn more about "shapes" here-
brainly.com/question/25965491
#SPJ2
Ian has 300 counters in a bag. Paul
takes 42 of them. Derek takes 65 of
them. Anne takes 33 of them. What
fraction does Ian have left? Give your
answer in its simplest form.
If mAngleVUW = (4x + 6)° and mAngleWUT = (6x – 10)°, what is the measure of AngleWUT?
Answer:
2 is the answer........
Answer:
the answer is 38 degrees
Step-by-step explanation:
just took test on ed
A(-3,3),b(0,1) and c(-1,-4)
Step-by-step explanation:
domain (-3,0,-1)
range (3,1,4)
If ∠AFB and ∠DFE are congruent, what term describes ∠BFE and ∠AFD?
Answer:
If you add a picture I can help
Step-by-step explanation:
I need to see what the figure looks like
Find the largest integer not greater than the following expression :
[tex]\displaystyle \large \boldsymbol{} \frac{2150}{2005} +\frac{2150}{2006} +\frac{2150}{2007 } + ...+\frac{2150}{2020}[/tex]
Answer:
17Step-by-step explanation:
The number of terms:
2020 - 2004 = 16Each term is greater than 1, so the expression is greater than 16:
2150/2005 = 1 + 145/20052150/2006 = 1 + 144/2006...2150/2020 = 1 + 130/2020It's easy to note each of the numbers getting smaller like 145/2005 > 144/2006 etc. Taking the smallest fraction.
The sum is:
S > 16 + 16*130/2020 = 16 + 2080/2020 > 16 + 1 = 17So the largest integer not greater than S is 17.
find H.C.F OF 4x²y and xy²
Answer:
xy
Step-by-step explanation:
The HCF is known as the highest common factor. To find the HCF of two values, we have to take the greatest number that fits into all of their factors.
To start, we can list each value's factors.
For 4x²y, this can also be written as 4*x²*y = 4*x*x*y. In multiplication, we can take the factors of each value that is multiplied. Therefore, we can start with the factors of 4 and then go to the factors of x² and so on. Our factor list is thus 1,2,4,x,x²,y
Similarly, for xy² = x*y*y, our factors are x, y, and y²
The common factors for each of these are x and y. Assuming all values are positive and greater than 1, the x*y will be greater than either x or y. Therefore, the highest common factor would be x*y = xy
2/3 of a number is 20 less than the original number.find the number
What is the average rate of change for the function f(x) = –4x2 + 1 over the interval –3/2 ≤ x ≤ 0?
Answer:
6
Step-by-step explanation:
To find the average rate of change, we must calculate the slope over the interval -3/2 to 0. We can use the formula below.
f(b) - f(a) / b - a
f(0) - f(-3/2) / 0 - -3/2
1 - -8 / 3/2
9 / 3/2
18/3
6
Brainliest, please!
Algebra 1 need help fast
Answer:
1st option
Step-by-step explanation:
at the 3rd hour, the money was $100
At 7th hour, the money increased to $160
Now, the rate is,
(160-100)/(7-3)
= 60/4
= 15
so, $15 per hour
what is the solution to the equation below? sqrt x-7 = 5
A. 144
B. 12
C. 2
D. 4
Answer:
I think the answer is B.12
If this not correct, Sorry.
Find the surface area of the composite figure
Answer:
384 cm^2
Step-by-step explanation:
Start with the prism (I multiply by 2 because some of the surfaces are more of):
4×15×2=1206×15×2=1806×4=24The Triangular Prism (I divide by 2 because it is a triangle shape on the sides):
3×4/2*2=123×6=186×5=30The Last Step (adding everything):
120+180+24+12+18+30=384
Find the Value of y. 70 60 65 40
Answer:
125
Step-by-step explanation:
360-70-60-65-40
= 125
Answered by GAUTHMATH
Evaluate the expression 34 ÷ (14 − 5) × 2.
I'm pretty confused can someone explain it to me? I will give branliest
Answer:
[tex]7\frac{5}{9}[/tex]
Step-by-step explanation:
Hi there!
We are given this expression:
34÷(14-5)×2
And we want to evaluate it
We'll be using the order of operations
Depending on the country you're in, the acronym can be different, but in the US, the typical acronym used for the order of operations is PEMDAS, or Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
The order of operations states that we should start with any expressions in parentheses
In this case, it's (14-5), which is equal to 9
The expression now becomes
34÷9×2
There are no exponents, so let's skip that
Now this is where it gets tricky:
Based on the acronym alone, we should be doing 9*2 next, however, we should always work left to right, even if in a case like this, we'll be doing division instead of multiplication
Divide 34 by 9
[tex]\frac{34}{9}[/tex]×2
Now multiply [tex]\frac{34}{9}[/tex] by 2
[tex]\frac{68}{9}[/tex]
(as a mixed fraction, it's 7[tex]\frac{5}{9}[/tex])
Hope this helps!
A quadrilateral ABCD has the area 10 square feet. After a dilation with a scale factor of 3, find the area of quadrilateral A'B'C'D'.
10 x 3^2
= 10 x 9
= 90
About how many cells are in the human body?
You can assume that a cell is a sphere with radius 10-3 cm and that the density of a cell is approximately the density of water which is 1g/cm3.
Answer:
In other words: The human body consists of some 37.2 trillion cells.
Step-by-step explanation:
can somebody explain how they got 37.2 trillion cells.!!!
please helpppp
Which number sentence is not true?
A. |-4.5| = 4.5
B. |0| < |-45|
C. |45| > 0
D. |4.5| > |-45|
Answer:
D
Step-by-step explanation:
The absolute value of a number is the actual distance of the number from zero. So, it is always a positive number. No negative value.
A) I -4.5I = 4.5 TRUE
B) I 0I < I -45I TRUE
Reason: 0 < 45
C) I 45 I > 0 TRUE
D) I4.5 I > I - 45 I FALSE
Reason: 4.5is not greater than 45
Answer:
D
Step-by-step explanation: