Answer: y = -2x + 19
Step-by-step explanation:
The function formula would be: y = ax + b
The slope(a) can be found with the formula [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]:
[tex](x_{1}, y_{1})=(6,7)\\(x_{2}, y_{2})=(9,1)[/tex]
[tex]\frac{1-7}{9-6} =\frac{-6}{3} =-2[/tex]
The y-intercept(b) can be found by substituting in values of a coordinate:
[tex](6,7)\\y=-2x+b\\7=-2(6)+b\\7=-12+b\\7+12=b\\b=19[/tex]
Therefore, the function is y = -2x + 19
If f(x) = 4 – x^2 and g(x) = 6x, which expression is equivalent to (g- 1)(3)?
Answer:
the value of g
Step-by-step explanation:
I am not sure how to solve this 3z-4 and 2z + 5 =
Help me pls I do not know
If the half-figure below is reflected over the line of symmetry, what will the completed figure look like?
Answer:
3rd option
Step-by-step explanation:
Answer:
Its the third one because it has equal sides because the others are not.
Step-by-step explanation:
Find the length of the missing side, x. The triangle is not drawn to scale.
13
X
12
-4 + -2 =
Hurry it’s a test
hope it helps you ♡♡
7. Suppose you roll a fair, six-sided die 2000 times and then make a histogram of your results. Which of the following would most likely be characteristics of the histogram you would obtain?
a. Skewed-right
b. Symmetric, with a central peak
c. Skewed-left
d. Uniform
Uniform would most likely be characteristics of the histogram obtain.
What is histogram?A histogram is a rough representation of the distribution of numerical data. The term was first coined by Karl Pearson.
The histogram is the width of the area covered by the x-axis bars. These are approximate values because the histograms show the bin values instead of the original data values.
If a histogram is bell-shaped, it can be modestly described by its center and width. The center is the location of its axis of symmetry. The spread is the distance between the center and one of its inflection points.
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1
15
3x =
2
Circle the ratio
xiy
6:1
1:6
3:2
2:3
Question isnt well formatted :
Answer:
1 : 6
Step-by-step explanation:
Given the question :
3x = 1/2y
3x = y/2
Multiply both sides by 2
3x * 2 = y/2 * 2
6x = y
This can be interpreted as :
y = 6 times the value of x
x = y/6
x : y
1 : 6
A garden table and a bench cost $844 combined. The garden table costs $56 less than the bench. What is the cost of the bench?
let garden table be 1 unit.
1 unit + 1 unit+ 56 = 844
2 units+56=844
2 units=844-56=788
1 unit=788 divided by 2 =394
hence, cost of bench = 1 unit+56=394+56=450
hope it helps:))
The solution to the system of equations is (0, 4).
(PIC 1)
TRUE or FALSE
The solution to the system graphed below is (1, -2).
(PIC 2)
TRUE OR FALSE
Answer:
1 is false
2 is true
Step-by-step explanation:
The solution is the coordinate where the two lines intersect
For the first image the two lines intersect at (3,5) therefore (0,4) is not a solution to the system of equations
For the second image the lines intersect at (1,-2) therefore the statement is true
Jessie has three one-gallon containers. The first one has 1/5 of a gallon of juice, the second has 1/5 gallon of juice and the third has 1/5 gallons of juice. How many total gallons of juice does Jesse have?
Solve for x in IJK Algebra
Answer:
x = 60
Step-by-step explanation:
The sum of the angles in a triangle is 180
40 + x+20 + x = 180
Combine like terms
2x+60 =180
Subtract 60 from each side
2x+60-60 =180-60
2x =120
Divide by 2
2x/2 =120/2
x = 60
Step-by-step explanation:
option 2 is the answer....
if was x was 3 and y was 5 what is 2xsquared plus 3ysquared
Answer: 2*3^2 = 18 3*5^2 = 75 75 + 18 = 93
A formula for finding the perimeter of a rectangle is P=2L+2W. If you know the perimeter (P) and width (W) of a rectangle, which formula can you use to find the length (L)?
Step-by-step explanation:
→ P = 2L + 2W
→ P = 2(L + W)
→ P ÷ 2 = L + W
→ (P ÷ 2) - W = L
We can use this formula to to calculate the length.
Find the surface area of the prism.
Answer:
108 cm²
Step-by-step explanation:
the surface area is the sum of all individual shapes areas on the surface.
2 right-angled triangles
3 rectangles
area of a right-angled triangle is At = a×b/2
At = 4×3/2 = 6 cm²
we need it twice : 12 cm²
one rectangle (length×width) = 8×3 = 24 cm²
one rectangle = 8×4 = 32 in²
one rectangle = 8×5 = 40 cm²
total surface area
A = 12+24+32+40 = 108 cm²
an area is always a square unit (power of 2).
a volume is always a cubic unit (power of 3).
and a length is always a simple unit (power of 1).
mel paid for 3/4 of the cost of a cake and Gretchen paid the rest. If Mel paid $21, how much did Gretchen pay?
Chandni compares two cylinders. Both cylinders have an identical base. The first cylinder has a height of 4 inches and a volume of 120 cubic inches. The second cylinder has a height of 7 inches. What is the volume, in cubic inches, of the second cylinder?
Answer:
33 Cubic inches
Step-by-step explanation:
The volume, in cubic inches, of the second cylinder is,
⇒ 210 inches³
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Chandni compares two cylinders. Both cylinders have an identical base.
Now, The first cylinder has a height of 4 inches and a volume of 120 cubic inches.
And, The second cylinder has a height of 7 inches.
Let the volume, in cubic inches, of the second cylinder is, x
Hence, We can formulate;
120 / 4 = x / 7
⇒ 120 × 7 = 4x
⇒ 4x = 840
⇒ x = 210 inches³
Thus, The volume, in cubic inches, of the second cylinder is,
⇒ 210 inches³
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how do u find 10% of 300
Answer:
30
Step-by-step explanation:
10/100 = x/300
10x300=3000
3000/100 = 30
A company creates tin boxes out of sheet metal. What measure should it use to find out how much sheet metal it needs to make a box that is 6 cm by 4 cm by 18 cm? surface area volume area lateral area
Answer:
it is surface area have a good day
Step-by-step explanation:
Answer:
Surface Area!!
Step-by-step explanation:
What is the area of a regular dodecagon with 11-inch sides?
Answer in complete sentences and include all relevant calculations.
Answer:
1354.7 square inches
Step-by-step explanation:
The area of a regular n-sided polygon with side length s can be found using the formula ...
A = n·s²/(4·tan(180°/n))
For n=12 and s=11, the area is ...
A = (12(11²)/(4·tan(15°)) ≈ 1354.7 . . . . square inches
Answer:
[tex]Area = 1353.9 \: {inches}^{2} [/tex]
Step-by-step explanation:
Hint :
Area of a Regular Dodecagon
A = [tex]3 {s}^{2} (2 + \sqrt{3} )[/tex]
Answer :
The area of a regular dodecagon with 11-inch sides = [tex]3 {(11)}^{2} (2 + \sqrt{3} )[/tex]
[tex]Area = 3( {11)}^{2} (2 + \sqrt{3}) \\ = 3 \times 121 \times 3.73 \\ = 1353.9 \: {inches}^{2} [/tex]
Hope it is helpful....Multiply and simplify.
Sqrt of 15(3+5)=
Sqrt of 3 +
Sqrt of 5
Answer:
Please post the actual question
Step-by-step explanation:
Thanks
Which function has a period of 4pi
Answer:
y=1/2sin(1/2x)
Step-by-step explanation:
because i use my brain to count
Construct an equation that has k = 9 as its solution. Use k on both sides of the equation.
Answer:
10k ÷ 10 + 1 = k + 1
Step-by-step explanation:
LHS
10k ÷ 10 + 1
10(9) ÷ 10 + 1
90 ÷ 10 + 1
10
RHS
k + 1
9 + 1
10
10k ÷ 10 + 1 = 10
Find the area enclosed by x2=2y and y2=16x
Answer: [tex]\dfrac{32}{3}[/tex]
Step-by-step explanation:
Given
The parabolas are [tex]x^2=2y[/tex] and [tex]y^2=16x[/tex]
Find the point of intersection of two parabolas
[tex]\Rightarrow \left(\dfrac{x^2}{2}\right)^2=16x\\\\\Rightarrow x^4=64x\\\Rightarrow x(x^3-64)=0\\\Rightarrow x=0,4[/tex]
Obtain y using x
[tex](x,y)\rightarrow (0,0)\ \text{and }(4,8)[/tex]
Area enclosed between the two is
[tex]\Rightarrow I=\int\limits^4_0 ({4\sqrt{x}-\dfrac{x^2}{2}}) \, dx\\\\\Rightarrow I=\left ( 4\times \dfrac{2}{3}x^{\frac{3}{2}}-\dfrac{x^3}{2\times 3} \right) _0^4\\\\\Rightarrow I=\left ( \dfrac{8}{3}\times 8-\dfrac{4^3}{6} \right )-0\\\\\Rightarrow I=\dfrac{128-64}{6}\\\\\Rightarrow I=\dfrac{64}{6}\\\\\Rightarrow I=\dfrac{32}{3}[/tex]
Thus, the area bounded by the two parabolas is [tex]\dfrac{32}{3}[/tex] sq. units.
Let X = the number of nonzero digits in a randomly selected 5-digit PIN that has no restriction on the digits. What are the possible values of X? Give three possible outcomes and their associated X values
Answer: there are total 100,000 5-digit PINs.
Three Possible outcomes Associated X values
12345 5
04555 4
00001 1
Step-by-step explanation:
Here, X = the number of nonzero digits in a randomly selected 5-digit PIN that has no restriction on the digits.
Possible number of outcomes = 10 x 10 x 10 x 10 x 10
= 100,000
Possible outcomes Associated X values
12345 5
04555 4
00001 1
Hence, there are total 100,000 5-digit PINs.
Three Possible outcomes Associated X values
12345 5
04555 4
00001 1
What does l.h.m.s.l.d.k.y mean in text?
Somebody answer ASAP
Can someone please help me?
Answer:
C and E
Step-by-step explanation:
use desmos
[tex]\longrightarrow{\blue{ C. \:\: {5}^{2x} \times 5 }}[/tex]
[tex]\longrightarrow{\blue{ E. \:{25}^{x} \times 5 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \: {5}^{2x + 1} [/tex]
[tex]\boxed{ C.}[/tex] [tex] \: {5}^{2x} \times 5[/tex]
➺[tex] \: {5}^{2x} \times {5}^{1} [/tex]
➺[tex] \: {5}^{2x + 1} [/tex]
[tex]\boxed{ E. }[/tex] [tex] {25}^{x} \times 5[/tex]
➺[tex] \: ({ {5}^{2} })^{x} \times {5}^{1} [/tex]
➺[tex] \: {5}^{(2 \times x) + 1} [/tex]
➺[tex] \: {5}^{2x + 1} [/tex]
Note:-[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Can someone help me with this question please.
Answer:
multiply by 2
Swings to track
20in = 40 yards
Track to bb court
8 in = 16 yards
how much further is the track from the swings
than from the bb court
40 - 16 = 24 yards
What is the surface area of the right cylinder below?
Answer:
Ok to find the surface area of this cylinder first we need the circumference to find this we do C=πd
C=3.14*18
C=56.52
now we have to multiple this by the height of two
113.04
now we have to find the area of the bottom to do this we do A=πR^2
A=3.14*81
A=254.34
multiple this by two for the two sides we get
508.68
now we add this to 113.04 we get
621.72
since I used 3.14 instead of more digits of pie we can round this up so the answer is C.
Your Welcome
BIFFY OUT!!!
What is the solution to The system of linear equations graphed below?
Answer:
(3 1/2 , -4)
Step-by-step explanation:
The solution to the system is where the two graphs intersect
The graphs intersect at x = 3 1/2 and y = -4
(3 1/2 , -4)