Answer:
3x - 8y = 24 --------(1)
y = x - 8 ---------(2)
substitute y in (1)
3x - 8( x - 8) = 24
3x - 8x + 64 = 24
-5x = 24 - 64
-5x = -40
5x = 40
x= 8
substitute x in (2)
y = 2 - 8
y = - 6
Answer:
x = 8, and y = 0
Step-by-step explanation:
We can solve this by taking y as (x-8), as it states there.
Since y is equal to x-8, we can rearrange the system of equations into one single equation.
We can multiply y by 8, as it shows in the first equation, which is something like 8x-64.
Since it is a negative 8 being multiplied by y, it would be the inverse of 8x-64, which is -8x+64.
We can now organize our equation here.
3x - 8x + 64 = 24.
We can use subtraction property of equality by subtracing 64 from both sides to get rid of it.
We will get something like:
3x - 8x + 64 - 64 = 24 - 64.
Simplify by solving like terms like the x value and the integers.
-5x = -40
Divide both sides with division property of equality:
-5/5x = -40/5
x = 8
We can then plug the 8 back into x, lets use the second equation because I'm lazy and it looks the easiest to solve for.
y = (8) - 8
y = 0
Therefore, x = 8, and y = 0.
please help me with this problem
assume f is a one to one function of f(x)= 4-6x find f^-1(-32)
Answer:
f^-1(-32)=6
Step-by-step explanation:
Find the inverse of the function f(x)=4-6x:
f(x)=4-6x
y=4-6x
x=4-6y
x-4=-6y
(x-4)/-6=y
-1/6x+2/3=y
y=-1/6x+2/3
f^-1(x)=-1/6x+2/3
Plug in f^-1(-32) for f^-1(x) and simplify:
f^-1(-32)=-1/6(-32)+2/3
f^-1(-32)=16/3+2/3
f^-1(-32)=18/3
f^-1(-32)=6
Lyla is playing a game in math class where the students describe a number they are thinking of and the class uses clues to determine which type of number it is. Lyla tells her class that she is thinking of a positive number with infinitely many nonrepeating digits after the decimal point. Which type of number is Lyla thinking of?Single choice.
(1 Point)
1. whole
2. integer
3. rational
4. irrational
Answer:
1 or 3 sorry if wrong
Step-by-step explanation:
I need help ASAP please
Answer:
True, false, true
Step-by-step explanation:
Because the minimum value of f(x) is -1, and the minimum value of g(x) us -25. It comes only once.
Roots are the points on the x - axis or when the x is 0. The roots of f(x) are positive.
f(0) means when x is 0, so f(0) = 3 or 5, and g(0) = -24
Cynthia was asked to subtract 0.223 from 0.54. Which of the following is the best estimate that Cynthia can make to check her answer?
A. 0.4 − 0.2
B. 0.5 − 0.2
C. 0.5 − 0.1
D. 0.6 − 0.2
Answer:
b
Step-by-step explanation:
0.223 rounds to 0.2 and 0.54 rounds to 0.5 so 0.5-0.2
enter the coordinates of the point on the unit circle at the given angle 180 degrees
The coordinates of the point on the unit circle at the given angle 180 degrees is (-1, 0).
What is a unit circle?A unit circle is just a circle that has a radius with a length of 1. A unit circle can be used to define right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of a right triangle relate to one another.
The given drawing is the graph of the unit circle on the X – Y Coordinate Axis.
It can be seen from the graph, that the unit circle is defined as having a Radius ( r ) = 1.
Going from Quadrant I to Quadrant IV, counter clockwise, the Coordinate points on the axis of the unit circle are:
(1, 0), (0, 1), (-1, 0), and (0, -1)
This is important to remember when we define the X and Y Coordinates around the unit circle. The Unit Circle has 360°. In the given graph, the Unit Circle is divided into 4 Quadrants that split the unit circle into 4 equal pieces. Each piece is exactly 90°.
From the diagram we can clearly say that the coordinates of the point on the unit circle at the given angle 180 degrees is (-1, 0).
Find out more information about unit circle here
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Find the slope of the line and that passes through (7, 2) and (-7, 48)
Answer:
-23/7
Step-by-step explanation:
y2 - y1 / x2 - x1
48 - 2 / -7 - 7
46 / -14
= -23/7
What is the y-intercept of the graph of x=9y-5
Answer:
(0,5/9)
Step-by-step explanation:
What generalization can you make about these numbers?
2, 5, 11, 19, 29
A. They are all even.
B. They are all evenly divisible by 2.
C. They are all prime.
D. They are all odd.
Allison drew 3 triangles, 5 hexagons, and 4 octagons.
How many line segments did she draw?
A. 81
B. 72
C. 71
D. 68
Answer:
D 68
Step-by-step explanation:
I think that's the answer
Answer:
71
Step-by-step explanation:
3×3 = 9
5×6 = 30
4 × 8 = 32
30+32+9= 71
Find the measure of the indicated angle. Round to the nearest tenth.
14
3
00
9
CC
Answer:
picture??
Step-by-step explanation:
Answer:
9 is the answer of this question
Reuben and Jim made the most points in the basketball game. Reuben made twelve points. Jim made twice as many points as Reuben. How many points did Jim make?
A. 36
B. 24
c. 18
D. 12
E. 6
Answer:24
Step-by-step explanation:
12x2=24
What is the quadratic equation if the zeroes of the function are -2 and 6?
a) 2x^2+4x-12=0
b) x^2-4x-12=0
c) x^2+4x-12=0
d) 2x^2-4x-12=0
Answer:
B.
Step-by-step explanation:
x = -2 or x = 6
(x + 2) or (x - 6)
(x+2)(x-6)
X² - 4x - 12 = 0
!!!!________________
Answer:
B
Step-by-step explanation:
The answer is B as it is the only one in which the shape at the bottom remains the cross section shape for the object. For example in a sphere the cross section near the bottom wouldn't be the same as the one at the middle. The only shape that does have the same cross section all the time is the cuboid so it is the answer
Which angles are vertical angles?
Answer:
Step-by-step explanation:
BCF and DCA
Evaluate f(-2): SHOW ALL WORK
f(x) = 3/2x -4?
Answer:
-7
Step-by-step explanation:
f(-2) = 3/2(-2) - 4
f(-2) = -3 - 4
f(-2) = -7
Answer:
f(-2) = -7
Step-by-step explanation:
f(-2) means that for every x given in the equation, -2 would be substituted in it's place. Therefore;
[tex]f(-2)=\frac{3}{2} (-2) - 4[/tex]
f(-2) = -3 - 4
f(-2) = -7
Hope this helps!
Find the area of the composite figure 7m 5m 4m 3m
Answer:
19 m
Step-by-step explanation:
Hope it helps. Just add them together
What is the domain of f(x) = 5- 7?
O x | x>-7)
O {x | X <-7}
0 {x|x>0}
O x | x is a real number}
Answer:
c
Step-by-step explanation:
hi
The domain of f(x) = 5x - 7 is {x | x is a real number} and this can be denoted as (-∞, ∞) for all x ∈ R.
What is domain?The domain is the set of all the input values given to a function.
Given is an expression f(x) = 5x - 7, we need to find the domain,
We know that,
The domain of any expression is set to all the real numbers, except where the expression is undefined.
Therefore, the domain is all real numbers.
Also,
The graph of the function will be a straight line without discontinuities.
Hence the domain of f(x) = 5x - 7 is {x | x is a real number} and this can be denoted as (-∞, ∞) for all x ∈ R.
Learn more about domain click;
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IF SOMEONE WILL HELP NOW THIS WILL BE A MIRACLEEEEE
Answer: x < -5
Move the constant to the right, calculate, and divide both sides.
Plz answer: 20 points and Brainliest!!!
Match the word with the definition.
Answer:
function is #4
domain is #2
range is #3
a vertical line test is #5
practical range is#8
practical domain is#7
function notation is#6
relation is #1
Step-by-step explanation:
hope this helps:)
Please answer quickly. I need help bad
The equation y-3=-2(x+1) represents a line. Which best describes the line?
A. slope: 4, passes through (1, -2)
B. slope: -2, passes through (-1,3)
C. slope 2, passes through (-3, 1)
D. slope 4. passes through (2, -1)
Answer:
B
Step-by-step explanation:
How does the standard deviation and mean change when you remove the greatest value from the data set?
Help me
Answer: the standard deviation decreases
Step-by-step explanation:
GIVING 11 POINTS PLEASE HELP ME
Answer:
6 packets
Step-by-step explanation:
3 x 8 = 24
24 / 4 =
6
I HAVE LIKE 2 MORE QUESTIONS, HELP ME PLZ!
Given:
Base length of triangle = 10 units
Height of triangle = [tex]\sqrt{44}[/tex] units
Length of hypotenuse of triangle = 12 units
To find:
Exact value of Cos A
Steps:
The cosine of any angle is equal to the length of the adjacent side by the length of the hypotenuse side.
So,
Cos A = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos A = [tex]\frac{10}{12}[/tex]
Cos A = 0.833
Therefore, the exact value of cos A is 0.833.
Happy to help :)
If u need any help, feel free to ask
i need help asap!! i would really appreciate this
A 30°-60°-90° triangle has a shorter leg with a length of 14 cm. The hypotenuse of the triangle is ___ cm.
Answer:
23
Step-by-step explanation:
5x+ 10y =300
what is x and y?
Answer:
5x + 10y + -10y = 300 + -10y
Step-by-step explanation:
Estimate the perimeter and the area of the shaded figure to the nearest whole number in square units.
Answer:
perimeter= 8+8=16 units
area = 16+8=24 sq units
Pleaseeee helppp mehhhhh!!
I need help asap, I will report any links or files from bit. ly
Jared flicked the arrow on his spinner 4 times, and the arrow landed on the green each time. if Jared spins the arrow a fifth time, what is the theoretical probability that it will land on green?
OA. 3/8
OB. 1/8
OC. 4/5
OD. 1/5
Answer:
I think the answer for that question is c
Jane has a triangular plot of land. She only received the length of two sides of the land and the angles at which each set of lines meet. How can Jane find the length of the missing side of her land?
Answer:
i dont know
Step-by-step explanation:
i dont know