Consider the graph of the functions f (x) and g (x)
Whats the solution to the equation f (x) = g (x)
A. x=3
B. x=4
C.x=5
D. x-6
Answers
Answer:
(5,4)
Step-by-step explanation:
What is the solution of two function?
The solution of a system of equations is simply where the value of x ( input ) creates an output ( y value ) equal to each other regarding the two functions.
How do identify the solution via graph.
We can identify the solution of a system of equations via graph by looking at where the two functions intersect.
Identifying the solution.
Looking at the graph, the two lines intersect at (5,4)
The answer choices are asking for the value of x of the solution which would be 5 as x = 5 in (5,4)
The rule is
If two lines are graphed then their solution is their intersection point .
Here both f(x) and g(x) are intersecting at
(5,4)So (5,4) is solution
Option C is correct
Related Questions
A square with diagonals is shown. the distance from one point to the middle point is x. the length from the center point to another point is x. the length of a side is 8. the figure is a square. its diagonals meet to form four right angles. what is the approximate value of x? 2.8 units 3.3 units 4.0 units 5.7 units
Answers
The approximate value of x in the square that the diagonals meets to form four right angles is 5.7 units
Properties of a square.All the sides are equal.Opposite sides are parallel to each other.The diagonal intersects at right angle.Using Pythagoras theorem the value of x can be found as follows:
c² = a² + b²
where
c = hypotenuse a and b are other legsTherefore,
8² = x² + x²
64 = 2x²
x² = 64 / 2
x = √32
x = 5.65685424949
x = 5.7 units
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Answer: 5.7 units
Step-by-step explanation:
1) Find the volume of the rectangular pyramid below.
21 cm
1 cm
29 cm
Answers
Answer:
3349.5 [tex]cm^{3}[/tex]
Step-by-step explanation:
see image
What is the equation of the circle with center (-3.2, -2.1) and radius 4.3?
Answers
The equation of the circle is : [tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 6.4[tex]x[/tex] + 4.2[tex]y[/tex] = 3.84
Meaning of a CircleA circle is a loci or a continuous line that equidistant from the center to any point on the line. it drawn starting from a point and ending on that same point.
The equation of a circle is an equation used to find points on a circle so the circle can be drawn with accurate measurement. it can also be used to find the missing points.
In conclusion, The equation of the circle is : [tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 6.4[tex]x[/tex] + 4.2[tex]y[/tex] = 3.84
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I am very confused about this but only need the answer.
Please Help
Answers
Answer:
C
Step-by-step explanation:
The radius of circle 2 is bigger than circle one, so the diameter will be bigger too.
The circumference of the circle 1 is less than the circumference of the circle 2.
What is circumference?Circumference is "a distance around the circle".
According to the question,
The area of the circle 1 is 6π and the area of the circle 2 is 7π.
Area of the circle = π.r²
Radius of the circle 1 is less than the radius of the circle 2 this implies diameter of the circle 2 is greater than diameter of the circle 1.
Hence, the circumference of the circle 1 is less than the circumference of the circle 2.
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On a coordinate plane, rhombus w x y z has points (negative 3, 1), (1, 4), (5, 1), and (1, negative 2). rhombus wxyz is graphed on a coordinate plane. what is the area of the rhombus? 24 square units 28 square units 32 square units 48 square units
Answers
The area of the rhombus is 24 square units.
What is a Rhombus?This has to do with the quadrilateral that each side are of the same length.
Calculations and Parameters:Given the data:
Length WY is 3 - (-5) = 8 units.
Length XZ is 4 - (-2) = 6 units.
Hence, the area of the rhombus WXYZ is 1/2 of the diagonal length:
1/2 * 8 * 6
= 24 square units.
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Answer:
A
Step-by-step explanation:
f(x) = 4(4 + x) whats the answer? and would that be the constant rate?
Answers
Answer:
f(x)=16+ 4x
the constant rate would be 4
Step-by-step explanation:
Answer: y=4x+16
Step-by-step explanation:
Question 4 (1 point)
(01.01)
Evaluate 48 + 24 = 8-22. (1 point)
O a
ob
51
c
Od
Answers
the answer is A 47
Step-by-step explanation:
48+24÷8-2²
48+3-2²
48+3-4
=47
hope it helps!
You are investing $1500 at 6.2% compounded annually. How much money will you have in 12 years?
Answers
Answer:
$3087.35
Step-by-step explanation:
Compound interest formula
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $1500r = 6.2% = 0.062n = 1t = 12 yearsSubstituting given values into the equation and solving for A:
[tex]\begin{aligned}\sf A & =\sf P \left(1+\frac{r}{n}\right)^{nt}\\\\\implies \sf A & = \sf 1500\left(1+\frac{0.062}{1}\right)^{1 \times 12}\\\\& = \sf 1500(1.062)^{12}\\\\& = \sf \$ 3087.35 \: (nearest\:cent)\end{aligned}[/tex]
Which best describes the three-dimensional figure that can be made from the net shown?
a triangular prism that might not have 4 congruent and equilateral triangles
a triangular pyramid that might not have 4 congruent and equilateral triangles
a triangular prism that must have 4 congruent and equilateral triangles
a triangular pyramid that must have 4 congruent and equilateral triangles
Answers
Answer:
Option C
Step-by-step explanation:
See here the net seems like a equilateral triangle
And another equilateral traingle is inscribed in itSo 4 equilateral trianglesHence option C
Put the functions, with their corresponding intervals, in order from least to greatest according to their average rates of change over those intervals.
Answers
Answer
Step-by-step explanation:
easy
what is the value of x
Answers
Answer:
x= 96
Step-by-step explanation:
I know this is might not be the best reasoning, but if 56+40=96, then the other consecutive angle should be 96 degrees by the Consecutive Interior Angles theorem.
The price of a box of colored pencils increased from $8.00 to $8.48. What was the percent increase in the price?
Answers
Step-by-step explanation:
100% = $8.00
1% = 100%/100 = 8/100 = $0.08
the price went up by $8.48 - $8.00 = $0.48.
how many % is this ?
as many % as 1% fits into this difference :
0.48 / 0.08 = 6%
the price increase was 6%.
What number when added to 1 1/3 is 2
Answers
Answer:
2/3 or .66 repeated
Step-by-step explanation:
1 1/3= 1.33
1.33 + .66..7 is 2
Answer:
[tex]\huge\boxed{\sf x = \frac{2}{3}}[/tex]
Step-by-step explanation:
Let the number be x
Given condition:
[tex]\displaystyle 1 \frac{1}{3} +x=2\\\\Subtract\ 1\frac{1}{3} \ to \ both \ sides\\\\x = 2-1\frac{1}{3} \\\\x = \frac{2 \times 3}{1 \times 3} - \frac{4}{3} \\\\x = \frac{6}{3} - \frac{4}{3} \\\\x=\frac{6-4}{3} \\\\\boxed{x = \frac{2}{3}} \\\\\rule[225]{225}{2}[/tex]
A graph shows the horizontal axis numbered 1 to 5 and the vertical axis numbered 1 to 5. points and a line show a downward trend. which is most likely the correlation coefficient for the set of data shown? –0.83 –0.21 0.21 0.83
Answers
The most likely correlation coefficient for the set of data shown is: -0.21.
Correlation coefficientWe would be using CORREL in excel to determine the correlation coefficient by inputting the set data below
X Y
A (1,4)
B (2, 1.5)
C (3,3)
D (4,4)
E (5,2)
Hence:
Correlation coefficient=-0.20801
Correlation coefficient=-0.21 (Approximately)
Therefore the most likely correlation coefficient for the set of data shown is: -0.21.
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Answer:
B) -0.21.
Step-by-step explanation:
11
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16
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18
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20
Which equation is equivalent to 4x+3 = 64?
O 2x+6=24
O 22x+6=26
O 42x+6 - 42
O 4X+3 - 46
Answers
Answer:
Answer is 2^2x+6=2^6 since it is equivalent to 4^x+3=64
The equivalent equation of [tex]4^x^+^3=64[/tex] is [tex]2^6^x^+^6=2^6[/tex], option B is correct.
The given equation is [tex]4^x^+^3=64[/tex]
Four to the power of x plus three equal to sixty four
x is the variable in the equation
We have to find the equivalent equation
We know that 2×2×2× 2×2×2 , 2⁶=64
[tex]4^x^+^3=2^6[/tex]
Now [tex](2^2)^x^+^3=2^6[/tex]
[tex]2^6^x^+^6=2^6[/tex]
Hence, the equivalent equation of [tex]4^x^+^3=64[/tex] is [tex]2^6^x^+^6=2^6[/tex], option B is correct.
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Select all the correct figures.
Which figures show starting steps in the construction of an equilateral triangle?
Answers
awnser pls quickly :)))
Answers
Answer:
P': (5,3)
Q': (10,3)
R': (3,10)
Step-by-step explanation:
In a right triangle, a and b are the lengths of the legs and c is the length
of the hypotenuse. If a = 9 centimeters and b = 3 centimeters, what is c? If
necessary, round to the nearest tenth.
4) c = ?
centimeters
Answers
Answer:
c=9.5 centimeters
Step-by-step explanation:
a^2+b^2=c^2
9^2+3^2=c^2
90=c^2
c=[tex]\sqrt{90}[/tex]
c=9.487
c=9.5
Select the correct line plot that accurately shows the data set above.
Answers
Answer:
B
Step-by-step explanation:
1,2 2,3 1,6 1,9 3,10 2,11 1,13 3,15 3,16 2,17
x,y
x= how many goals they made were the same
y= the actual number of soccer goals
(This is just how I organized how to make the chart)
which figures appear to be congruent
A) 1,4
B) 1,4 and 5
C) 1 and 5
D) 4 and 5
Answers
Answer:
Explain your answer C) 1 and 5
A child grew 3 1/4 inches one year and 4 3/4 inches the next year. How many inches did the child grow over the two years?
Answers
Answer:
8 inches.
Step-by-step explanation:
3 1/4 + 4 3/4
= 3 + 4 + 1/4 + 3/4
= 7 + 4/4
= 7 + 1
= 8 inches.
Answer:
The child grew 8 inches
Step-by-step explanation:
Step 1: Convert to improper fractions
[tex]3\frac{1}{4}[/tex]
[tex]\frac{1+(3*4)}{4}[/tex]
[tex]\frac{1+12}{4}[/tex]
[tex]\frac{13}{4}[/tex]
[tex]4\frac{3}{4}[/tex]
[tex]\frac{3+(4*4)}{4}[/tex]
[tex]\frac{3+16}{4}[/tex]
[tex]\frac{19}{4}[/tex]
Step 2: Combine the fractions
[tex]\frac{13}{4}+\frac{19}{4}[/tex]
[tex]\frac{13+19}{4}[/tex]
[tex]\frac{32}{4}[/tex]
[tex]8[/tex]
Answer: The child grew 8 inches
PLease Help its a math problem see image attached i am struggling with this
Answers
Answer:
f(x) = (x+5)^2-1
Step-by-step explanation:
check the attachment please. I also need to know the value of y
Answers
Answer:
Angle MBR = 31°
y = 14
Step-by-step explanation:
There is a tiny red square in angle MBH that means it is a right angle. Right angles are 90°. So the 59° angle and the angle marked (y+17)° together make a 90° angle. That helps us write an equation.
59 + y + 17 = 90
add.
76 + y = 90
subtract 76.
y = 14
Then you can find Angle MBR:
y + 17
= 14 + 17
= 31
Alternatively, you could find MBR first and then find y. It comes out the same either way.
what is the answer to this question?
Answers
Answer:
y = 96
Step-by-step explanation:
given that y is directly proportional to x² then the equation relating them is
y = kx² ← k is the constant of proportion
to find k use the condition when y = 24 , x = 2 , then
24 = k × 2² = 4k ( divide both sides by 4 )
6 = k
y = 6x² ← equation of proportion
when x = 4 , then
y = 6 × 4² = 6 × 16 = 96
function f is shown below
f(-3)
f(4)
find x when f(x) = 5
find x when f(x)= -3
Answers
Answer:
See below ~
Step-by-step explanation:
Based on the graph,
f(-3)f(-3) = 02. f(4)
f(4) = -33. x when f(x) = 5
f(x) = 5x = 04. x when f(x) = -3
f(x) = -3x = ±4Complete this statement:
10x^3a+6xa^2=2xa( )
Answers
Answer:
2xa(5x^2 + 3a).
Step-by-step explanation:
We are factorising:-
Divide the left side by 2xa and place the result in the parentheses:
10x^3a+6xa^2 = 2xa(5x^2 + 3a )
Answer:
2xa(5x² +3a-1)
Step-by-step explanation:
10x³a+ 6xa²-2xa=2xa-2xa
10x³a+ 6xa²-2xa=0
Factor 10x³a+ 6xa²-2xa:
2ax(5x² + 3a -1)
What is the area of this quadrilateral?
41
3 ft
10 ft
10 ft
3D
4 ft
O A. 30 square feet
O B. 36 square feet
O c. 42 square feet
O D. 12 square feet
Answers
Answer:
42 square feet
Step-by-step explanation:
10 ×3= 30
4×3=12 divided by two =6 ×2= 12
(multiply because there are two triangular ends)
12+30=42
[tex]\bold{ANSWER:}[/tex]
30 square feet (REAL ANSWER)
[tex]\bold{SOLUTION:}[/tex]
Help please this needs to be turned in tommorrow soo im trying to rush and when i rush i cant focus
Answers
Answer: Hello! Hope this helps.
Step-by-step explanation: 6 - 7x/2
So its the first answer.
pls give the steps as well
Answers
Answer:
-6.4
Step-by-step explanation:
√2(√3×2 - √1×8) = -6.41472901342
Round to the nearest tenth = -6.4
Shara collected two different data sets and labeled them data set S and data set T. Data set S has a correlation coefficient of −0.91, and data set T has a correlation coefficient of 0.89.
Part A: Which data set has a stronger linear relationship?
Part B: How do you know this?
Select two answers, one for Part A and one for Part B.
Answers
Data set T has strong linear relationship as it is a perfect positive correlation
What is Correlation Coefficient ?
A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables.
In other words, it reflects how similar the measurements of two or more variables are across a dataset.
When one variable changes, the other variables change in the same direction or opposite direction.
Perfect positive correlation :When one variable changes, the other variables change in the same direction.
Perfect negative correlation :When one variable changes, the other variables change in the opposite direction.
Part A &B : Data set T has strong linear relationship as it is a perfect positive correlation
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