Answer:
y = 4/3x +8/3
Step-by-step explanation:
The point-slope form is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
For the given point and slope, this is ...
y -4 = 4/3(x -1)
Adding 4 and eliminating parentheses, you have ...
y = 4/3x -4/3 +4
y = 4/3x +8/3
Geometric Applications: For the next three questions, use the information below:
A rectangle has a side with a length of 8ft and a width of (2x+4)ft.
Label the rectangle
15 pts
a) Find the perimeter of the Rectangle:
b) Find the area of the rectangle:
c) If the total Area is 80 square feet, find the width in feet.
Answer:
a)Perimeter= 2(8+2x+4)
=(24+4x)ft
b)Area= 8(2x+4)
=(16x+32)square ft
c)16x+32=80
x=3
width= 2x+4 = 2(3)+4 =10ft
ALOT OF POINTS FOR THIS ONE
Admission to the state fair is $12, and each ride ticket costs $3.50. Write an
expression to represent the situation and explain what the variable means.
3.50t + 12 where t represents the number of ride tickets
3.50a + 12 where a represents the cost of admission
12a + 3.50 where a represents the cost of admission
12t + 3.50 where t represents the number of ride tickets
Answer:
Step-by-step explanation:
12a + 3.50t x 6rides
For the trig function f(0)=sin(0) whats the input variable
For the trig function g(0)=cos(0) whats the input variable
For the function f(0)=sin(0), 0 is the input variable while f(0) is the output.
For the function g(0)=cos(0), 0 is the input variable while g(0) is the output.
The standard form of representing trigonometry functions is f(x) = sinx or f(x) = cos x
From the functions:
x is the input variable (also known as the domain)y is the output variable also known as the range;Given the trig function f(0)=sin(0), compared with the general equation, we can see that 0 is the input variable while f(0) is the output.
Similarly for the function g(0)=cos(0), 0 is the input variable while g(0) is the output.
Learn more on input variables here: https://brainly.com/question/11451813
5x²-11x +6 . factories the expression
Answer:
5
x
2
−
11
(
x
)
+
6
Step-by-step explanation:
[tex]5x^2-11x+6\\\\=5x^2-5x-6x+6\\\\=5x(x-1) - 6(x-1)\\\\=(x-1)(5x-6)[/tex]
How to find the inverse of 3log3(x+3)+1. Its with a base of 3
Let [tex]f^{-1}(x)[/tex] be the inverse of
[tex]f(x) = 3 \log_3 (x + 3) + 1[/tex]
Then by definition of inverse function,
[tex]f\left( f^{-1}(x) \right) = 3 \log_3 \left(f^{-1}(x) + 3\right) + 1 = x[/tex]
Solve for the inverse :
[tex]3 \log_3 \left(f^{-1}(x) + 3\right) + 1 = x[/tex]
[tex]3 \log_3 \left(f^{-1}(x) + 3\right) = x - 1[/tex]
[tex]\log_3 \left(f^{-1}(x) + 3\right) = \dfrac{x - 1}3[/tex]
[tex]3^{\log_3 \left(f^{-1}(x) + 3\right)} = 3^{\frac{x-1}3}[/tex]
[tex]f^{-1}(x) + 3 = 3^{\frac{x-1}3}[/tex]
[tex]f^{-1}(x) = 3^{\frac{x-1}3} - 3[/tex]
Factorise fully 2x2 – 8x
[tex]2x^2-8x=2x(x-4)[/tex]
Answer:
2x ( x - 4)
Hope that helps?
Indira was measuring the length of her school's hallway. The first part of the hallway
was 132 inches long. The next part was 3 yards long. How long is the hallway in
feet?
Answer:
132 in /12 in/ft + 3 yd(3ft/yd) = 11 + 9 = 20 ft
Step-by-step explanation:
Answer:
20 ft
Step-by-step explanation:
12 inches = 1 foot
12 : 1 = 132 : y
[tex]\frac{132:y}{12:1}[/tex]
12 × y = 132 × 1
12y = 132
12y ÷ 12 = 132 ÷ 12
y = 11
11 ft
1 yard = 3 feet
1 : 3 = 3 : y
[tex]\frac{1:3}{3:y}[/tex]
1 × y = 3 × 3
1y = 9
y = 9
9 ft
11 ft + 9ft = 20 ft
The aquarium has 3 more yellow fish than green fish. 60% of the fish are yellow. How many green fish are in the aquarium?
If 3(x - 2) = 6, then x
Answer:
8
Step-by-step explanation:
3(x - 2) = 6
3x - 6 = 6
x - 6 = 2
x = 8
hope it helps :)
mark brainliest!!
11. Given a matrix A, what is A^1?
A=[0 12 0 1]
[tex]\text{Since det(A) = 0, the inverse of the matrix does not exist.}[/tex]
please help for brainliest!!!!
Answer:
d)
[tex] {i}^{740} [/tex]
Step-by-step explanation:
i¹= i
i²= -1
i³= -i
i⁴= 1
i¹²⁴= i^(124 +0)
i^124 . i^0
i^(4×31) . i^0 = 1³¹. i^0
1.i^0= i^0
= 1
a) i^179= i^(176+3)
i^176 . i³ = i^(4×44) . i³
1⁴⁴. i³ = 1. i³
= -i
b) i^582 = i^(580 + 2)
i^580 . i²= i^(4×145) . i²
1^145 . i²= 1.i²
= -1
c) i^165= i^(164+1)
i^164 . i¹ = i^(4×41) . i¹
1⁴¹ . i¹ = 1.i
= i
d) i^740= i^(740+0)
i^740 . i^0 = i^(4×185) . i^0
1^185 . i^0 = 1. i^0
= 1
i¹²⁴= i^740 = 1
Ben made some apple pies. For every 4 cups of butter, he added 3 cups of water. The ratio of butter to water in Ben's apple pies is ____. (5 points)
Question 1 options:
1)
2)
3)
3
4)
4
Answer:
4 Trust me
Step-by-step explanation:
how to fix my calculator please help meee i cuold not fix it plsss what to do
so, you must have some kind of device for you to make a question on brainly. if you are using your phone, there is probably an already installed calculater app on there. if you don't have one, go to app store or play store and download it. if you are using computer, simply search it. of course, you can also use your phone and just search it on the web.
Answer:
by a new one?????
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answer:
it is d
Step-by-step explanation:
In trapezoid DEFG, EG = 24.3 and DH = 9.4. Identify HF.
Answer:
HF = 14.9
Step-by-step explanation:
A washer and a dryer cost 825 combined. The washer costs 74 more than the dryer. What is the cost of the dryer?
Answer:
375.5 combined
Step-by-step explanation:
The cost of the dryer is: (825-74)÷2 =375.5 (combined)
Find the median of the numbers in the following list. 26, 13, 39, 22, 42,39, 18, 21, 32,14
Answer:
24
Step-by-step explanation:
13,14,18,21,22,26,32,39,39,42
middle is 22 and 26
therefore you add and divide by 2
then you'll get 24
3a+2x-3y=15
Solve for a.
Then Solve put the value for a =
a+7÷10
subtract 2 from both sides
3a - 3y = 15 - 2x
factor out the common term 3
3 (a-y) = 15 - 2x
divide both sides by 3
a - y = 15 - 2x/3
add y to both sides
a = 15-2x/3 + y
then solve put the value for a =
15-2x/3 + y + 7 ÷10
simplify using the common denominator
10(15-2x)+7*3/30
simplify 7 * 3 to 21
10(15-2x)+21/30
expand
150-20x+21/30
simplify 150-20x+21 to -20x + 171
-20x+171/30
Answer: -20x+171/30
[tex]\huge\bf Question:– [/tex]
[tex]\sf \longmapsto \: 3a+2x−3y=15[/tex]
[tex] \bf \huge \: To \: Find:–[/tex]
[tex] \boxed{\bf \: Value\: of \: A}[/tex]
[tex]\huge\bf Solution:–[/tex]
[tex]\sf \longmapsto \: 3a+2x−3y=15[/tex]
[tex]\boxed{ \bf \: Add -2x \: to \: both \: sides}[/tex]
[tex]\sf \longmapsto \: 3a+2x−3y+−2x=15+−2x[/tex]
[tex]\sf \longmapsto \: 3a−3y=−2x+15[/tex]
[tex]\boxed{ \bf \: Add \: 3y \: to \: both \: sides}[/tex]
[tex]\sf \longmapsto \: 3a−3y+3y=−2x+15+3y[/tex]
[tex]\sf \longmapsto \: 3a=−2x+3y+15[/tex]
[tex] \boxed{\bf \: \: Divide \: both \: sides \: by \: 3}[/tex]
[tex]\sf \longmapsto \: \dfrac{3a}{3} = \dfrac{−2x+3y+15}{3} [/tex]
[tex] \boxed{\bf \: Cross \: Multiply}[/tex]
[tex]\boxed{\sf \longmapsto \: a = \dfrac{ - 2}{3} x + y + 5}[/tex]
______________________________________
[tex]\bf \: Put\:The\: Value[/tex]
[tex] \sf \longmapsto \: \dfrac{−2x+3y+15}{3} +7÷10[/tex]
[tex] \boxed{\bf \: Distribute}[/tex]
[tex]\sf \longmapsto \: \dfrac{ - 2}{3} x+y+5+ \dfrac{7}{10} [/tex]
[tex] \boxed{\bf \: Combine \: Like \: terms}[/tex]
[tex]\sf \longmapsto \: \bigg( \dfrac{ - 2}{3} x\bigg) + y +\bigg( 5 + \dfrac{7}{10} \bigg)[/tex]
[tex]\sf \longmapsto \: \dfrac{ - 2}{3} x + y + \dfrac{57}{10} [/tex]
______________________________________
[tex]\boxed{\bf The Answer\: is:–}[/tex]
[tex]\boxed{{\underline{\bf\dfrac{ - 2}{3} x + y + \dfrac{57}{10}} }}[/tex]
TV that usually sells for $180.59 is on sale for 20% off. If sales tax on the TV is 9%, what is the price of the TV, including tax?
Answer:
157.47448
Step-by-step explanation:
here you go i did all the math hope this helped
Answer:
128.2189
Step-by-step explanation:
thats the price of the TV including tax
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
Divide.
5÷1/4
1/20
4/5
5/4
20
Answer:
20.
Step-by-step explanation:
That's the correct answer
Answer:
20
Step-by-step explanation:
To divide by a fraction, such as 1/4, we invert the fraction and then multiply instead of dividing. Thus:
5÷1/4 = 5*(4/1) =20
a ratio of two measurements having different units of measure IS ONE
STEP EQUATION
true
false
The statement that a ratio of two measurements having different units of measure IS ONE is false
Ratios are used to relate measurements of different quantities.
The measures of the quantities may or may not be one (1).
When the second quantity has a measure of one, then the ratio is called a unit rate.
So, the quantities may be one, but it is not a requirement that the measure of one or both quantities be one.
Hence, the statement is false
Read more about ratios at:
https://brainly.com/question/14341008
Find the missing value.
Answer:
It would be +3
Step-by-step explanation:
When you add -8 plus a positive 3 that would be a negative -3
Answer:
-5=-8--3
= -3 Start at -8 go down untill u reach -5 then count how many u went down
volume of
a
cone
are
The
and a cylinder
in 9
the ratio 1:9 respectively. The height and diameter
of
16cm and 14cm. The diameter of
the
28cm. Find the height of the cylinkes.
the
cone
are
15
cylinder
The given ratio of the volumes indicates that the volume of the cylinder is 9 times the volume of the cone.
The height of the cylinder is 12 cmReasons:
The given parameter are;
Ratio of the volume of the cone to the cylinder to the 1 : 9
The height and diameter of the cone are; 16 cm and 14 cm
The diameter of the cylinder = 28 cm
Required:
To find the height of the cone:
Solution:
[tex]\displaystyle The \ volume \ of \ a\ cone = \frac{1}{3} \cdot \pi \cdot r^2 \cdot h[/tex]
[tex]\displaystyle The \ volume \ of \ the \ cone = \frac{1}{3} \times \pi \times \left(\frac{14}{2} \right)^2 \times 16 = \mathbf{ \frac{784}{3} \cdot \pi}[/tex]
Volume of a cylinder, V = π·r²·h
[tex]\displaystyle Radius \ of \ the \ cylinder = \frac{28 \, cm}{2} = 14 \, cm[/tex]
Volume of the cylinder, V = π × 14² × h = 2,352·π
The volume of the cylinder = 9 × The volume of the cone
Therefore;
[tex]\displaystyle Volume \ of \ the \ cylinder =9 \times \frac{784}{3} \cdot \pi = \mathbf{2,352 \cdot \pi}[/tex]
[tex]\displaystyle Height \ of \ the \ cylinder, \, h = \mathbf{\frac{2,352 \cdot \pi}{14^2 \cdot \pi}} = 12[/tex]
The height of the cylinder, h = 12 cm
Learn more about ratios here:
https://brainly.com/question/4713715
Please due today by 10:00
The second side of a triangular deck is 4 feet longer than the shortest side, and the third side is 4 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 52 feet, what are the lengths of the three sides?
Answer:
13 ft, 17 ft, 22 ft
Step-by-step explanation:
let x be the shortest side, then second side is x + 4 and the third side is
2x - 4
sum the 3 sides and equate to 52
x + x + 4 + 2x - 4 = 52 , simplify
4x = 52 ( divide both sides by 4 )
x = 13
x + 4 = 13 + 4 = 17
2x - 4 = 2(13) - 4 = 26 - 4 = 22
lengths of 3 sides are 13 ft, 17 ft and 22 ft
The variables x and y vary directly. Given the model y = -2x , find the value of x when
y = -16.
a. 8
32
b. 16
d. 64
C.
Answer:
a.8
Step-by-step explanation:
y=-16
-16=-2x
16=2x
x=16/2=8
Solve system of equations y=3/4x+2 5x+4y=-24
Answer:
[tex]\left \{ {{y=-1} \atop {x=-4}} \right.[/tex]
Step-by-step explanation:
[tex]\left \{ {{y=\frac{3}{4} x+2} \atop {5x+4y=-24}} \right. <=> \left \{ {{y=\frac{3}{4}x+2 } \atop {5x+4*(\frac{3}{4}x+2)=-24 }} \right. <=>\left \{ {{y=\frac{3}{4}x+2 } \atop {5x+3x+8=-24}} \right. <=> \left \{ {{y=\frac{3}{4}x+2 } \atop {8x=-32}} \right. \\<=>\left \{ {{y=\frac{3}{4}x+2 } \atop {x=-4}} \right. <=> \left \{ {{y=\frac{3}{4}*(-4)+2 } \atop {x=-4}} \right. <=> \left \{ {{y=-3+2} \atop {x=-4}} \right. =>\left \{ {{y=-1} \atop {x=-4}} \right.[/tex]
Please answer this question IT IS NOT AVTEST DONT TRY TO DELETE IT.
which holds the more capacity 0.75 litres or 350ml
Answer:
0.75 liters
Step-by-step explanation:
1000ml in 1 liter so 0.75*1000=750ml
750ml > 350ml