Using the given linear function, it is found that the expressions are given by:
[tex]y = \frac{4x}{3} - 4[/tex].[tex]x = \frac{3y}{4} + 3[/tex].What is the given linear function?It is:
4x - 3y = 12.
To find y in terms of x, we isolate y, hence the expression is given by:
[tex]3y = 4x - 12[/tex]
[tex]y = \frac{4x}{3} - 4[/tex]
To find x in terms of y, we isolate x, hence the expression is given by:
[tex]4x = 12 + 3y[/tex]
[tex]x = \frac{3y}{4} + 3[/tex]
More can be learned about linear functions at https://brainly.com/question/24808124
Which symbol would correctly compare the values shown be
1-8|?|8
Answer:
=
Step-by-step explanation:
|-8|?|8|
8 ? 8
8 = 8
Hope this helps :)
Mrs. o'brien used a compass to draw two circles on a coordinate plane. circle a is centered at (3,-1)
and has a radius of 4 units. circle b is centered at (4, 5) and has a
radius of 3 units. select all of the
transformations that can be performed on circle a to prove that it is similar to circle b.
To prove that circle A is similar to circle B, it needs to be moved 1 unit right and 6 units up and then dilated by a scale factor of 3/4
What is transformation?
Transformation is the movement of a point from its initial location to a new location.
Types of transformation are rotation, translation, dilation and reflection.
To prove that circle A is similar to circle B, it needs to be moved 1 unit right and 6 units up and then dilated by a scale factor of 3/4
Find out more on transformation at: https://brainly.com/question/4057530
can you please help me?
Answer:
102 dollars
Step-by-step explanation:
7x+ 8=29 how to solve it
Answer:
the correct answer is x = 3
Step-by-step explanation:
you solve this by moving all the terms that dont contain x to the right side and solve the equation.
hope this helps
have an awesome day -TJ
pls mark brainliest if this helps you :)
Use the ordered pairs below. (10,20), (11, 21), (12, 22) What patterns are used to create the ordered pairs?
Answer:
The x and y points are increasing by 1
Step-by-step explanation:
(x + 1, y + 1)
The x and y points are increasing by 1
(10, 20) => (10 + 1, 20 + 1) => (11, 21)
(11, 21) => (11 + 1, 21 + 1) => (12, 22)
(10, 20), (11, 21), (12, 22)
Hope this helps!
Help!!!! I need help with this one
Answer:
y=1/3x+2
Step-by-step explanation:
y=mx+b form is where m = the slop and b = the y interecept.
Y - Intercept
we can tell the y-intercept is 2 just by looking at the graph
Slope
For the slope, we can pick two points on the line, in this case, I will pick the points (0,2) and (3,3). Then, we can use the slope formula (y2-y1)/(x2-x1) to find the points, and after plugging the points in, we get 1/3, which is the slope
Plugging the numbers into slop intercept form
So we now know the slope is 1/3 and y-intercept is 2, so after plugging it into slope-intercept form (y=mx+b), we get y=1/3x+2
The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.
On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (negative 0.5, 6.75), and goes through (1, 0).
The vertex is the maximum value.
The axis of symmetry is x = negative one-half.
The domain is all real numbers.
The range is all real numbers.
The function is decreasing from (−∞, 6.75).
if a pyramid 20yd,18yd,18yd what is the surface area
15YD
Step-by-step explanation:
PLS HELP ME I WILL MARK THE BRAINLIEST
Answer:
a. 314.2 in²
b. 36 m²
c. 60 m²
Step-by-step explanation:
The areas of these plane figures can be found by substituting the given dimensions into the area formula.
a.The area of a circle can be found from its diameter to be ...
A = (π/4)d²
A = (π/4)(20 in)² = 100π in² ≈ 314.2 in²
__
b.The area of a parallelogram can be found as ...
A = bh
A = (9 m)(4 m) = 36 m²
__
c.The area of a triangle can be found from ...
A = 1/2bh
A = 1/2(15 m)(8 m) = 60 m²
_____
Additional comment
A triangle with sides 17 and 15 and height 8 cannot be obtuse. It is a right triangle. (Those side lengths are a Pythagorean triple.)
Geometric series mastery test
Plato/edumentum
Answer:
183
Step-by-step explanation:
it is clearly a geometric sequence.
the common ratio of multiplication factor is -3.
3 × -3 = -9
-9 × -3 = 27
27 × -3 = -81
-81 × -3 = 243
the sum of these first 5 terms is
3 - 9 + 27 - 81 + 243 = 183
FYI - there is a formula to add the first n terms of a geometric sequence :
Sn = a1(1 - r^n)/(1 - r)
if r < 1 (like in our case -3).
in our case
S5 = 3(1 - (-3)⁵)/(1 - -3) = 3(1 - -243)/4 / 3×244/4 = 3×61 = 183
HELP PLEASE FOR NUMER 3 and 4 PLEAESE ASAP ANI WILL GIVE BRANILESS FOR THE FIRST PERSON
Step-by-step explanation:
what number you need help with
its literally 15 points
How do i find lateral area?
dont answer in a confusing way please i just need to understand this :(
Answer:
There are many areas but
Step-by-step explanation:
Area of square is L × W
where you multiply both length × width you get the answers squared
Area of a cube is L × W × H
this is where you multiply all length × width × height and get the answer cube
which European country colonized Brazil?
Answer:
Portugal in 1815 colonize Brazil.
Can someone please answer this?
ANSWER
it is the one that is highlighted Yellow
f=±✓de/4e
photo is how you do the work
Will give brainliest, thanks, and 5 stars! LOTS OF POINTS! 50 POINTS!
I need help with these questions! Please help me. The choices are all true/false.
Please help me!!!!!!
Please provide in depth explanation too!!
Answer/Step-by-step explanation:
All of the solutions to the equation 3x^2 - 12 = 0 are x = 12 and x = -2
Answer: False
Explanation:
[tex]3x^2-12+12=0+12[/tex]
[tex]3x^2=12[/tex]
[tex]\frac{3x^2}{3}=\frac{12}{3}[/tex]
[tex]x^2=4[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{4},\:x=-\sqrt{4}[/tex]
[tex]x=2,\:x=-2[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
There are two unique solutions to the equations (x-3)^2 = 16
Note: Each variable in the matrix can have only one possible value, and this is how you know that this matrix has one unique solution.
Answer: True
Explanation:
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=7,\:x=-1[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Ths solutions for the equation 2(x-3)^3 - 18 = 0 are x = 6 and x = 0
Answer: False
Explanation:
[tex]2\left(x-3\right)^3-18+18=0+18[/tex]
[tex]2\left(x-3\right)^3=18[/tex]
[tex]\frac{2\left(x-3\right)^3}{2}=\frac{18}{2}[/tex]
[tex]\left(x-3\right)^3=9[/tex]
[tex]\mathrm{For\:}g^3\left(x\right)=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}[/tex]
[tex]=\sqrt[3]{9}+3,\:x=\frac{6-\sqrt[3]{9}}{2}+i\frac{\sqrt[3]{9}\sqrt{3}}{2},\:x=\frac{6-\sqrt[3]{9}}{2}-i\frac{\sqrt[3]{9}\sqrt{3}}{2}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7
Answer: False
Explanation:
[tex]2\left(x-5\right)^2-8+8=0+8[/tex]
[tex]2\left(x-5\right)^2=8[/tex]
[tex]\frac{2\left(x-5\right)^2}{2}=\frac{8}{2}[/tex]
[tex]\left(x-5\right)^2=4[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=7,\:x=3[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The solutions for the equation (x + 3)^2-25 = -8 are x = 2 and x = -8
Answer: False
Explanation:
[tex]\left(x+3\right)^2-25+25=-8+25[/tex]
[tex]\left(x+3\right)^2=17[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{17}-3,\:x=-\sqrt{17}-3[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The solutions for the equation 2(2x-1)^2=18 are x = 5 and x = -4
Answer: False
Explanation:
[tex]\frac{2\left(2x-1\right)^2}{2}=\frac{18}{2}[/tex]
[tex]\left(2x-1\right)^2=9[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=2,x=-1[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The only solution for equation (2x-1)^2-49=0 is x = 4
Answer: False
Explanation:
[tex]\left(2x-1\right)^2-49+49=0+49[/tex]
[tex]\left(2x-1\right)^2=49[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=4,\:x=-3[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The solutions for the equation 3(x+2)^2 - 3 = 0 are x = -3 and x = -1
Answer: True
Explanation:
[tex]3\left(x+2\right)^2-3+3=0+3[/tex]
[tex]3\left(x+2\right)^2=3[/tex]
[tex]\frac{3\left(x+2\right)^2}{3}=\frac{3}{3}[/tex]
[tex]\left(x+2\right)^2=1[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=-1,\:x=-3[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The solutions for the equation 5x^2 - 180 = 0 are x = 6 and x = -6
Answer: True
Explanation:
[tex]5x^2-180+180=0+180[/tex]
[tex]5x^2=180[/tex]
[tex]\frac{5x^2}{5}=\frac{180}{5}[/tex]
[tex]x^2=36[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{36},\:x=-\sqrt{36}[/tex]
[tex]x=6,\:x=-6[/tex]
~Lenvy~
A notebook company makes notebooks with covers in 2 different colors. A school district ordered 301 notebooks in each color. How many notebooks in total did the school district order?
Evaluate the expression 10 + (8 - 4)2 ÷ 2.
Answer:
10 + (8 - 4)2÷2
10 + (4)2 ÷2
10 + 8 ÷ 2
10 + 4
= 14
Are my answers correct?
Answer:
Check the last answer...
Step-by-step explanation:
Look at image above...
Pls help me do this :) urgent message!
Answer:
y-intersept is where the line crosses the y axis
on this one it is
(0,-3)
Hope This Helps!!!
Answer:
(0,-3)
Step-by-step explanation:
The y-intercept is where the equation of the line intersects the y-axis. In this case, by looking at the graph, we see that the y-intercept is (0,-3).
Hope this helps!!
The function f(x)=x^2 is graphed on the coordinate grid.
Use the Parabola tool to graph g(x).
g(x)=3x^2
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
other points:
x y
-2 12
-1 3
0 0
1 3
2 12
Let's see
g(x)=3x^2Take some cordinates
(0,0)(1,3)(-1,3)(2,12)(-2,12)Graph attached
please help I'll give brainliest if answer is right
Answer:
The area is about 96.06 or 96.1
Step-by-step explanation:
I tried my best to solve it, I'm sorry if it's wrong.
Over 7 months, the weight of a baby measured in pounds doubled. Does its weight measured in kilograms also doubled
Answer:
Yes
Step-by-step explanation:
Yes. Explanations vary. Sample explanation: The weight itself doubles, so
any measurement of the weight using the same units will also double. We
can also see that by saying if the weight is x pounds, then double that weight
would be 2x pounds. The weight in kilograms will be x ÷ 2.2, and the double
weight will be or (2x) ÷ 2.2 2(x ÷ 2.2), which is also double.
What are the x intercepts for the following
function? f(x) = x2 - 4x + 4
a. 2 and 4
b. -1 and O
c. -4 and 4
d. 2
Answer: 2
Step-by-step explanation: It is 2. You can use the vertex formula x= (-b/2a) 4/2(1), which is 2 and x=2 is the x intercept.
PLEASE HELP QUICK !!!!
For each of the following functions, list the excluded values from the
domain:
f (x) =
g(x) =
2-3
22 9
h(x) = V16 – 22
Answer:
fx is 4, gx is 3, hx is anything greater than, not equal to, 4.
Hope this helps!
I’ll give brainiest to the best solved An ice cream store sells two different sizes of ice cream cones. The first cone is 4 inches tall and has a 1-inch radius. The second cone is 6 inches tall and has a 1.5-inch radius. What is the ratio of the volume of the smaller cone to the volume of the larger cone?
A.
4 : 9
B.
8 : 27
C.
9 : 4
D.
27 : 8
The volume of the larger cone is about 18.8 cubic inches greater than the volume of the small cone
The volume of a cone is calculated as:
For the small cone, we have the following parameters:
Diameter = 3 inches
Height = 3.5 inches
Diameter = 4.5 inches
Height = 5.1 inches
So, the volume of the large cone is:
Calculate the difference of both volumes
Hence, the volume of the larger cone is about 18.8 cubic inches greater than the volume of the small cone
Read more about volumes at:
brainly.com/question/8994737
1) The sum of the digits in a 2 digit number is 7. Reversing the digits increases the number by 9. What is the number?
Answer:
34
Step-by-step explanation:
Sum of two numbers = 7
1+6
2+5
3+4
34+9=43
Classify the following triangle. The
O A. Scalene
O B. Equilateral
C. Isosceles
D. Acute
O E Right
O F. Obtuse
Scalene triangle: if none of the three sides of a triangle are equal to each other, it is called a scalene triangle.
Equilateral triangle: An equilateral triangle is a triangle in which all three sides have the same length.
Isosceles triangle: An isosceles triangle is a triangle that has two sides of equal length.
Acute Triangle: An acute triangle is a triangle with three acute angles.
Right Triangle: A triangle in which one of the interior angles is 90° is called a right triangle.
Obtuse Triangle: An obtuse triangle is a triangle with one obtuse angle and two acute angles.
There are a total of 21 marbles in the box. And 5 of the marbles
are black and 6 of them are blue. A single marble is chosen at
random from the box. What is the probability of choosing a
black ball or a blue ball?
Step-by-step explanation:
there are in total 21 marbles.
5 black, 6 blue = 11 black or blue marbles.
so, the probability of pulling a black or blue marbles is as always desired possible outcomes / total possible outcomes = 11/21
!!40 points and Brainliest if it’s correct!!ANSWER IT ONLY IF YOU KNOW THE ANSWER. IF YOU DONT KNOW DONT ANSWER IT. Make sure you explain please!
Which of the following shows the correct first step to solve x^2 - 16x = -21 by completing the square?
A)x^2 - 16x + 64 = -21
B) x^2 - 16x + 64 = -21 + 64
C) x^2 - 16x + 16 = -21 + 16
D) x^2 - 16x + 8 = -21 + 8
Answer:
B) [tex]x^{2} -16x+64=-21+64[/tex]
Step-by-step explanation:
The first step to completing the square is by dividing "b" by 2, squaring that number, and adding it on both sides. In this case, 16/2 = 8 and 8 squared = 64. In answer choice B, this is correctly added to both sides of the equation.
See the full steps for completing the square below. If you're still stuck on this, I suggest watching the completing the square video on Tutors.com. It is very helpful!
Have a great day!
What is the area of this triangle?
Enter your answer in the box.
units
[tex]S=\frac{1}{2}\times4\times4=8\ {\rm units}^2[/tex]
[tex]\left\{co\ calculate\right.\ \ \ \ \ \ \ \ \ \ \left\{S=\frac{1}{2}\right.\left.\ ah\right\}[/tex]
I hope this helps you
:)