Answers
Answer:
f(x) is linear
g(x) is exponential
Step-by-step explanation:
A linear function will always have the same rate of change between equally distant points, while an exponential function will have an increasingly large rate of change between equally distant points.
First, look at f(x). All these points are equally distant at 2 units apart on the x-axis, so they can be directly compared:
[tex](-38)-(-18)=-20\\(-58)-(-38)=-20\\(-78)-(-58)=-20[/tex]
All of these points are the same distance apart on the y, so f(x) must be a linear function.
Now look at g(x). These are also all equally distant at only 1 unit apart.
[tex]30-10=20\\90-30=60\\270-90=180[/tex]
These are very clearly not the same distance apart on the y, so g(x) must be the exponential function.
Related Questions
Which is an equation of the line through the origin and (-5,6)?
A. y=-5/6x
B. y=-6x
C. y=-5x
D. y=- 6/5x
Answers
Answer:
y=-6/5x
Step-by-step explanation:
Find the value of x to the nearest tenth. Show all
the work
Answers
Answer:
x is 15.0
Step-by-step explanation:
We can use pythagorus theorum to find the missing side of the triangle.
a² = b² + c²
a² is the longest side of the triangle, so a= 8.
b² (or you can even take c²) is one of the two sides, so b= 3
We have to find c². So make c² the subject of the equation.
c² = a² - b²
c² = 8² - 3²
c² = 64 - 8
c² = 56
∴ c = [tex]\sqrt{56}[/tex] = 7.48 (in 2 decimal place / 3 significant figures)
Now we can assume that c is half of x.
So x = 7.48 + 7.48 = 14.96
∴ x = 15.0 (to the nearest tenth).
Which value of x makes the equation 2(x-9)-2x=-3(3+7) true?
Answers
Answer:
No solution
Step-by-step explanation:
Select the correct expression
r less than 52
Answers
Answer:
no because r is a varible that dont have number
The correct expression of r less than 52 is r<52.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is r less than 52
We have to write in the form of inequality
A relationship between two expressions or values that are not equal to each other is called 'inequality.
The less than represents the relationship between r and 52
In the given expression r is the variable
r<52 is the required expression or inequality
Hence, the correct expression of r less than 52 is r<52.
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there are 6 cups of sugar in 5 batches of cookies. how many cups are in 1 batch
Answers
Answer:
1.2 cups
Step-by-step explanation:
6 cups / 5 batches = 1.2 cups/batch
Pythagorean Theorem Question! Please help
Answers
Answer:
It is the fourth one.
Step-by-step explanation: You use it to find it to see if it is a right triangle.
Solve for x. Round your answer to the nearest tenth if necessary.
70°
6
X
Answers
Answer:
Tan 70 = opp/adj
Tan 70 = x/6
multiply by 6 on both sides
16.5 = x
jack makes 55$ for 6 hours of work. How much does he make per hour
Answers
Answer:
$9.16
Step-by-step explanation:
55/6=9.16
f(x) = -2x - 1; Find f (x - 4)
Answers
Answer:
B
if f(x-4) then we should put x-4 where the x is spouse to be so;
-2(x-4)-1 =
-2x + 8 - 1 =
-2x + 7
help me please
If an item is 40% off with an additional 20% off on top of the sale price, what is the percent savings?
Answers
Answer: 60%
Step-by-step explanation: if the question is saying the item was already 40% an ADDITIONAL (adding) 20% will make the item 60% off meaning your percentage of savings is 60%
If Mrs. Hill takes out a mortgage for $80,000 with a 4% interest rate, what will her interest be after 20 years? Help ASAP I’ll give so much points!
Answers
Answer:
After 20 years, Mrs. Hill is owed $144,000.Step-by-step explanation:
Using PRT/100, we can find the interest Mr. Hill has to pay extra.=> 80000 x 4 x 20/100=> 800 x 4 x 20=> 3200 x 20=> 64000Total amount to pay: $144,000Conclusion:
Therefore, after 20 years, Mrs. Hill is owed:
$144,000.Hoped this helped.
[tex]GeniusUSer[/tex]
Write an equation in point-slope form that has a y-intercept at (0, 12) and also contains the point (1,2)
Answers
Answer:
y-2=-10(x-1).
Step-by-step explanation:
The point slope form is y-y_1 = m(x-x_1). Now we find the slope, which is 2-12 (-10)/1-0(1). This gives us -10. Now we plug the coordinates from one of the points and the slope to get y-2=-10(x-1).
HELP FAST!!! MARKING BRAINLIEST!!!
Prove the following theorem:
Given 3 different lines a, b, and c. If a is parallel to b (a║b), and c intersects a (c∩a), then prove that c intersects b (c∩b).
Answers
Answer:
Well, I think this is correct:
Well, if we know that a and b are parallel, that means they have the same slope but different y-intercept. So, if c and a intersects, then c and b are bound to intercept, because when c intersects with a, it will also cross b, since it will be going in the same route...which will make it also intersect with b. (crossing.)
Sorry if I'm wrong.
Hope this helps! :)
Solve 12 + 5= 7.
A. x = -2 and x = 12
B. x = -2 and x = -12
C. X = 2 and x = -2
O D. x = 2 and x = = -12
Answers
Answer:
if you mean 12-5=12 this answer is x=144
here is the step by step explanation.
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x/12-5-(7)=0
Step by step solution :
STEP
1
:
x
Simplify ——
12
Equation at the end of step
1
:
x
(—— - 5) - 7 = 0
12
STEP
2
:
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 12 as the denominator :
5 5 • 12
5 = — = ——————
1 12
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x - (5 • 12) x - 60
———————————— = ——————
12 12
Equation at the end of step
2
:
(x - 60)
———————— - 7 = 0
12
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 12 as the denominator :
7 7 • 12
7 = — = ——————
1 12
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
(x-60) - (7 • 12) x - 144
————————————————— = ———————
12 12
Equation at the end of step
3
:
x - 144
——————— = 0
12
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
x-144
————— • 12 = 0 • 12
12
Now, on the left hand side, the 12 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x-144 = 0
Solving a Single Variable Equation :
4.2 Solve : x-144 = 0
Add 144 to both sides of the equation :
x = 144
One solution was found :
x = 144
167<6+7(2+7r)
what is it please help
Answers
Answer:
3 < r
Step-by-step explanation:
167<6+7(2+7r)
distribute the 7 to the 2 and 7r
7 * 2 = 14 and 7 * 7r = 49r
167 < 6 + 14 + 49r
combine like terms: 6 + 14 = 20
167 < 20 + 49r
subtract 20 from both sides
147 < 49r
divide both sides by 49
3 < r
3x - y = 23
2x + 3y = 8
Answers
Answer: x = 11
Step-by-step explanation:
You didn't state what you needed for these problems so I'm going to assume you need to solve for X.
1st Equation:
3x - y = 23 --> y = 3x - 23
2nd Equation:
2x + 3y = 8 --> (3y = 8 - 2x)/3 = y = 8/3 - 2x/3
Set Equations = to Each other
3x - 23 = 8/3 - 2x/3 --> 3x - 2x/3 = 8/3 + 23
9x/3 - 2x/3 = 8/3 + 69/3 --> 7x/3 =77/3
7x/3 X 3/7 = 77/3 X 3/7
x = 11
If you need to solve for y as well plug the x value back into the original equation and solve.
PLEASE HELP I WILL GIVE BRAINLIEST IF YOU ARE CORRECT
Which of the following is a function equivalent to
f(x)=3(1.2)4x ?
Group of answer choices
f(x)=3(2.01)x
f(x)=3(2.07)x
f(x)=3(4.8)x
f(x)=12(1.2)x
Answers
Answer:
f(x)=12(1.2)x
Step-by-step explanation:
Write the inequality that represents the solution set to the given inequality below.
−8≥x−2≥10
Group of answer choices
4≤x≤−5
−4≤x≤5
4≥x≥−5
−4≥x≥5
Answers
Answer:
-6[tex]\geq[/tex]x[tex]\geq[/tex]12
Step-by-step explanation:
I can't match it to one of your solutions but I can explain this:
-8[tex]\geq[/tex]x-2[tex]\geq[/tex]10
We can add 2 to each side to eliminate the -2 in the centre.
-6[tex]\geq[/tex]x[tex]\geq[/tex]12
If the formula P = a + 2b is rearranged then a = *
p - 2b
2b - p
P + 2b
2Pb
Answers
[tex] \: \: \: [/tex]
[tex]a = - 2b \: + \: p[/tex]
refer to the attachment for explanation
hope it helpsTake 2b to left sign turns negative
a=-2b+pa=p-2bOption A
solutions of the quadratic $x^2 + 7x - 18 = 0.$
Answers
(x^2+7x-18) can be factored into (x+9)(x-2). Set each part equal to zero and solve for x.
x+9=0 => x=-9
x-2=0 => x=2
I’m guessing the dollar signs aren’t supposed to be there.
The solution of the quadratic equation x² + 7x - 18 = 0 will be 2 and negative 9.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic equation is given below.
x² + 7x - 18 = 0
Factorize the quadratic equation, then we have
x² + 7x - 18 = 0
x² + 9x - 2x - 18 = 0
x(x + 9) - 2(x - 9) = 0
(x + 9)(x - 2) = 0
x = 2, -9
The arrangement of the quadratic condition x² + 7x - 18 = 0 will be 2 and negative 9.
More about the solution of the equation link is given below.
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What are the solutions of the following system?
=
[x2 + y2 = 25
2x+y=-5
(0, -5) and (-5,5)
(0, -5) and (5, -15)
(0, -5) and (-4,3)
O (0,-5) and (4, -13)
What is it?
Answers
Answer:
Third option: (0,-5) and (-4,3)
Step-by-step explanation:
x^2 + y^2 = 25
2x + y = -5
y = -5 - 2x
x^2 + (-5-2x)^2 = 25
x^2 + 25 + 20x + 4x^2 = 25
5x^2 + 20x + 25 = 25
5x^2 + 20x = 0
5x(x+4) = 0
5x=0 --> x=0
x+4=0 --> x=-4
2(-4) + y = -5
-8 + y = -5
y = 3 --> (-4,3)
2(0) + y = -5
0 + y = -5
y = -5 --> (0,-5)
Therefore, the solutions to the system of equations are (0,-5) and (-4,3)
help ita due in 5 mins
Trapezoid GHIJ is located in the coordinate plane at points
G(0,0),H(−1,2),I(3,2),and J(2,0).
Three transformation scenarios are described.
1. Reflect GHIJ in the x-axis and then reflect that image in the y-axis.
2. Rotate GHIJ 90º counterclockwise about the origin and then translate that image 2 units up.
3. Dilate GHIJ by a scale factor of
1
2
centered about the origin and then translate that image 2 units to the left.
Which transformation(s) produce an image that is congruent to the given figure?
Number 1 only
Number 1 only
Numbers 1 and 2
Numbers 1 and 2
Numbers 2 and 3
Numbers 2 and 3
Numbers 1, 2, and 3
Numbers 1, 2, and 3
Answers
A rigid transformation is one in which the distance between pairs of points
are preserved, and the image and preimage have the same dimensions.
The transformations that will produce an image that is congruent to the given figure is; Number 1 and 2.Reasons:
The vertices of the trapezoid GHIZ are G(0, 0), H(-1, 2), I(3, 2), and J(2, 0)
The given transformations are;
1. GHIJ is reflected in the x-axis and the image is reflected in the y-axis
The above transformation is a double reflection.
2. GHIJ is rotated about the origin 90° counterclockwise. The resulting
image is translated up 2 units.
3. GHIJ is dilated by a scale factor of [tex]\mathbf{\frac{1}{2}}[/tex], with the center of dilation at the
origin. The resulting image is translated 2 units left.
Required:
The transformations that produce an image that is congruent to the given figure:
Solution:
Two figures are congruent if they have the same size and shape.
With the given figure being the trapezoid GHIJ, we have that a
transformation that will give an image that is congruent to the preimage
which is the trapezoid GHIJ is a rigid transformation.
Rigid transformations are;
ReflectionRotationTranslationThe combinations of transformation given within the scenario that consists
of only rigid transformations are scenario 1 and scenario 2.
Therefore, the correct option is; Numbers 1 and 2.
Learn more about rigid transformation here:
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I really need help with this, and also if it's Substitution or linear combination and it will be really helpful if you do step by step please.
Answers
Answer:
-2x+y=12
Step-by-step explanation:
linear equation
What is the answer to this?
Answers
Answer:
[tex]\frac{12}5[/tex]
Step-by-step explanation:
The easiest way to find the tangent is to calculate the ratio of opposite side over the adjacent, or [tex]\frac{12}5[/tex]
We know
[tex]\\ \sf{:}\Rrightarrow tan\Theta=\dfrac{Perpendicular}{Base}[/tex]
Now
[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{SU}{TU}[/tex]
[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{12}{5}[/tex]
Help bell math math math
Answers
Answer:
54
Step-by-step explanation:
C=πd
π=3
d=18
C=3×18
Therefore C=54
Answer:
c=54
Step-by-step explanation:
HELP ASAPPP!
Ava has $30 for a cab ride. It costs $3.50 for the cab to pick her up then $1.50 per mile after the initial pick-up fee. Which inequality best represents the real-world situation?
Answers
Answer: [tex]1.50x+3.50\leq 30[/tex]
Step-by-step explanation:
x represents how many miles after the pick-up. we add on 3.50 because that is the intial pick-up price. then the cost has to be under 30 because she only has 30 dollars
A car factory made 41 cars. 20 of the cars had a sunroof. What is the ratio of the number of cars without a sunroof to the number of cars with a sunroof?
Write your answer as two numbers separated by a colon (for example, 2:3).
Answers
Answer:
21:20
Step-by-step explanation:
Since there are 20 cars with sunroof
Subtract 20 from 41
and you get 21 which are the cars with no sunroof
making it 21:20
Answer: 21 : 20
Step-by-step explanation: Since the factory made 41 cars and 20 of them had a sunroof that means x = 41 -20. So 41 - 20 = 21 cars without sunroof. They ask to put the ratio with cars without sunroof first then cars with a sunroof so it would be 21 : 20.
(x = cars without sunroof)
Tell whether the ordered pair is a solution to the equation please show how you solve it.
(3,2); x+6y = 13
Answers
Answer:
The ordered pair is not a solution as both sides of the equation do not equal each other.
Step-by-step explanation:
(3,2); x + 6y = 13
(3) + 6(2) = 13
3 + 12 = 13
15 = 13
Solve for x when 4x+16/12=x-4
Answers
Answer:
In short, Your Answer would be either 1 or 7
Step-by-step explanation:
|4x + 12| = 16
As it is in modulus function, it could be either +ve or -ve
4x+12 = 16 OR 4x - 12 = 16
4x = 16-12 OR 4x = 16 + 12
4x = 4 OR 4x = 28
x = 4/4 OR x = 28/4
help! ignore pencil work! any comment with a link or answer that dosnt relate or i found out later that thats the wrong answer will be deleted! PLEASE SHOW WORK
Answers
Answer: x = 13, Angle ABE = 51°
Step-by-step explanation:
Since angle ABC is 90° and angle EBC is 39°, subtract them.
90° - 39° = 51°
This means that angle ABE equals 51°. Plug in 51° as the y in the equation y = 3(x+4).
51 = 3 (x + 4)
Multiply 3 by x and 4.
51 = 3x + 12
Subtract both sides by 12.
39 = 3x
Divide both sides by 3.
x = 13