Step-by-step explanation:
f(x) =x-1 and when we put 0 from x our answer is -1 and put 1 answer is 0 ........ for this f(x) must be x-1. g(x)= f(x)+ 4
A car rental company charges an initial fee plus a constant fee per kilometer driven.
The table compares the total distance driven on the trip (in kilometers) and the price of the rental (in dollars).
Distance (kilometers) Price (dollars)
105 183
140 204
175 225
What is the company's initial fee?
Answer:
$120
Step-by-step explanation:
constant fee = (204-183) /(140-105)
= 21/35 = $0.6 per km
so, initial fee =
183 - (105 × 0.6)
= 183 - 63
= 120
Answer:
120
Step-by-step explanation:
trust me.
STEM:
If you can rewrite a quadratic equation as a product of factors that equals zero, you
can solve the equation. To solve equations in this manner, you must use all your
factoring skills.
Example:
What are the solutions of the equation x2– x = 20?
First rewrite the equation so that one side equals zero.
x2– x = 20
x2 – x – 20 = 20 – 20
x2 – x – 20 = 0
Subtract 20 from each side.
Simplify.
Now, factor to rewrite the equation as a product of factors equal to zero. Find two
integers whose product is –20 and whose sum is –1. The product of 4 and –5 is
–20, and the sum of 4 and –5 is –1.
x + 4 = 0
x + 4 – 4 = 0 – 4
x = –4
x2 – x – 20 = 0
(x + 4)(x – 5) = 0
or
or
or
x – 5 = 0
x – 5 +5 = 0 +5
x = 5
The solutions are –4 and 5.
These "solutions" tell us where our quadratic function passess through the x-axis (ie this tells us the "roots" aka "x -intercepts" aka "zeros" aka "solutions" aka "zeros" are)
Question:
In the graph provided in the example, what do the coordinates (-4,0) and (5,0) represent?
A
The y- intercept of the function (ie where the function passes through the y-axis)
B
The x-intercept of the function (ie where the function passes through the x-axis)
C
The vertex of the function
D
none of the above
E
the zeros of the quadratic function
F
the roots of the quadratic function
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Answer:
A, E, F
Step-by-step explanation:
Every point on the graph has coordinates (x, f(x)). This means a point such as (-4, 0) or (5, 0) is a point on the x-axis where f(x) = 0. It is all of ...
an x-intercepta root of the functiona zero of the functionThese terms are used essentially interchangeably.
Plz help I’m suck on this question!!!!!!
Answer:
U = 1
V = -5
Step-by-step explanation:
U = -1 - (-2) = 1
V = -4 -1 = -5
angle psr measures 99 degrees what is the measure of psq in degrees
someone help me on this plzzz!!
Answer:
y = (3/2)x + 2
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept (value of y when x is 0).
From the graph, we can see that the y intercept is 2 units. Also, the line passes through point (2, 5) and (-2, -1). Therefore the slope of the line is:
[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-5}{-2-2}=\frac{3}{2}[/tex]
Using the equation a straight line:
y = mx + b; substituting gives:
y = (3/2)x + 2
What is the solution to this inequality?
 x/9 + 7 ≥ 10
Answer:
x ≥ 27
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
x/9 + 7 ≥ 10
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 7 on both sides: x/9 ≥ 3[Multiplication Property of Equality] Multiply 9 on both sides: x ≥ 27Pls helllllpppppp!!! I don’t want anymore lectures from my parents and I don’t want to be the bad guy anymore. I need my grades up so pls no links or fake answers.
Your mom suggested ten different choices for you to eat for dinner over the next week. How many different ways can you choose your dinner?
A. 120
B. 240
C. 720
D. 960
Answer: I think the answer is 120
Step-by-step explanation:
I'm not sure tho
Point A’ is the image of Point A when point A is rotated about the origin B. What angle in the counterclockwise direction is A rotated through?
Answer:
90 degrees
Step-by-step explanation:
If a decagon is a regular decagon, then what is the measure of each interior angle?
a. 150°
b. 162°
c. 144°
d. 240°
Answer: the answer is 144 i kinda had the answer already
Step-by-step explanation:
Answer:
c. 144
Step-by-step explanation:
In a regular polygon, each interior angle has the same measure. There is a formula to find the angle given the number of sides. We are looking at a decagon, which has ten sides, so we would plug the value 10 into the following formula:
[tex]\frac{180(n-2)}{n}\\\frac{180(10-2)}{10} \\\frac{180*8}{10} \\18*8\\144[/tex]
This is option c.
Please assist, I'm really bad with word problems
Answer:
The surface area of the balloon is [tex]S(t) = \frac{100}{49} \pi t^8[/tex]
Step-by-step explanation:
Given;
S(r) = 4πr²
where;
S is the surface area of the balloon
r is the radius of the surface
The radius of the balloon at time "t" is given as;
[tex]r(t)= \frac{5}{7} t^4 \ \ \ t\geq 0[/tex]
The surface area of the balloon as a function of time "t" is calculated as;
[tex]S(t) = 4\pi (\frac{5}{7} t^4)^2\\\\S(t) = 4\pi (\frac{25}{49} t^8)\\\\S(t) = \frac{100}{49} \pi t^8[/tex]
determine the missing angle.
Answer:
the missing angle will be 140°
Answer: 140
Step-by-step explanation:
The roots of the equation x2 + 2x + 5 = 0 are
Which pair of angles are complementary?
Answer:
Two Angles are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. Examples: 60° and 30° are complementary angles.
Answer:
Step-by-step explanation:
those two angles which gives 90 degree when added are complementary angles.
if 2 newspapers cost 3 dollars how much does 1 newspaper cost
Answer:
x = 1.50
Step-by-step explanation:
We can use a ratio to solve
2 papers 1 paper
------------- = --------------
3 dollars x dollars
Using cross products
2x = 3*1
2x=3
Divide by 2
2x/2 = 3/2
x = 1.50
Answer:
$1.50
Step-by-step explanation:
example;
2/3=1.50
Have a great day <3
y
.
4
3
2
1-
2
-4
-3
-2
-1
1
2
3
4
-1
-2
-3
-4
What is the slope of the line?
Answer:
-1
Step-by-step explanation:
Slope is rise over run
graph us going up by 2 units and going to left by 2 units
[tex]\frac{2}{ - 2} \\ - 1[/tex]
Which graph could represent the equation y=-x^2+4?
PLEASE HELP ME ANSWER THESE QUESTIONS
Step-by-step explanation:
get a coin and toss it 40 times.....then input your answers....
dont forget to make a prediction about the outcome first
3. 72 in. ___ = ft help
Answer:
6 feet
Step-by-step explanation:
Answer:
72in is 6 feet
Step-by-step explanation:
Alexia veut préparer un cocktail original
Answer:
????????????????????
Complete the table of function values.
f(x) = −4x + 3
x
f(x)
−1
0
1
2
Answer:
the answer will be - 9
Step-by-step explanation:
because 4plus 3 is 7 and minus one is 6 and then plus one is 7 and then plus the 2 and the ans will be x = -9
plzz help ill mark u brainliest
A. Angle 4 is congruent to.
b. Angle 5 is congruent to.
c. The sum of angles 1,4 and 5 equals.
d. Therefore the sum of angles of 1, 2, and 3 equals
Answer:
a. angle 4 is congruent to angles 1, 2, 3, 5
b angle 5 is congruent to angles 1, 2, 3, 4
c. the sum of angles 1, 4, and 5 is 180°
d. The sum of angles 1, 2, and 3 is 180 °
Step-by-step explanation:
a. all angles are the same measurement
b. all angles are the same measurement, you know this by measuring
c. they are on a striaght 180 degree line
d. the sum of a triangles angles are always 180 degrees
The sides of two cubes are in the ratio 2:5, what is the ratio of their volumes?
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Answer:
8 : 125
Step-by-step explanation:
The volume is proportional to the cube of the side lengths. Hence, the ratio of volumes is proportional to the cube of the ratio of side lengths.
v1 : v2 = (2 : 5)^3 = 2^3 : 5^3 = 8 : 125
Tori rolls three numbered 1 though 6. She records it weather each cube lands on an even or odd number
Answer:
480 times
Step-by-step explanation:
Given
[tex]n = 50[/tex] ---- total number of rolls
See attachment for complete question
Required
Times OO will appear in a roll of 2000 times
From the attached bar graph,
[tex]n(OO) = 12[/tex]
So, the occurrence of OO in 2000 rolls is:
[tex]OO = \frac{n(OO)}{n} * 2000[/tex]
[tex]OO = \frac{12}{50} * 2000[/tex]
[tex]OO = 0.24 * 2000[/tex]
[tex]OO = 480[/tex]
The measures of the angles of triangle ABC are 6x -7; 3x +10; and 10x +25 respectively.Find the measure of each angle of triangle ABCWhat type of triangle is ABC? Explain.
Answer:
41, 34, 105
Step-by-step explanation:
Given that :
Measure of angles :
6x -7; 3x +10; and 10x +25
Recall; sum of angles in a triangle is 180
(6x - 7) + (3x + 10) + (10x + 25) = 180
6x - 7 + 3x + 10 + 10x + 25 = 180
6x + 3x + 10x - 7 + 10 + 25 = 180
19x + 28 = 180
19x = 180 - 28
19x = 152
x = 8
Hence,
6x - 7 = 6(8) - 7 = 41
3x + 10 = 3(8) + 10 = 34
10x + 25 = 10(8) + 25 = 105
from first-time customers. A random sample of 161 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.35 and 0.45
Answer:
This probability that the sample proportion is between 0.35 and 0.45 is the p-value of [tex]Z = \frac{0.45 - \mu}{\sqrt{\frac{p(1-p)}{160}}}[/tex] subtracted by the p-value of [tex]Z = \frac{0.35 - \mu}{\sqrt{\frac{p(1-p)}{160}}}[/tex]. These p-values are found looking at the z-table.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Estimate of the proportion:
This is p, and thus, we use [tex]\mu = p[/tex].
Sample of 160
This means that:
[tex]n = 160, s = \sqrt{\frac{p(1-p)}{160}}[/tex]
What is the probability that the sample proportion is between 0.35 and 0.45?
This probability that the sample proportion is between 0.35 and 0.45 is the p-value of [tex]Z = \frac{0.45 - \mu}{\sqrt{\frac{p(1-p)}{160}}}[/tex] subtracted by the p-value of [tex]Z = \frac{0.35 - \mu}{\sqrt{\frac{p(1-p)}{160}}}[/tex]. These p-values are found looking at the z-table.
What is the 5th term in the geometric sequence described by this explicit
formula?
an = 30 • (-2)(n-1)
Answer:
-240
Step-by-step explanation:
n = 5
a₅ = 30* (-2)(5 - 1)
= 30 * (-2)*4
= 30 * (-8)
= - 240
Which expression is equivalent to the algebraic expression below -4(3x-5
Answer:
-12x+20.
Step-by-step explanation:
I got it by multiplying the bracketed numbers by the -4.
If 3w +6=21 find the value of w
Answer:
[tex]3w + 6 = 21 \\ 3w = 15 \\ w = 5[/tex]
Hey there!
[tex]\mathsf{3w + 6 = 21}[/tex]
SUBTRACT 6 to BOTH SIDES[tex]\mathsf{3w + 6 - 6 = 21 - 6}[/tex]
CANCEL out: 6 - 6 because that gives you 0 KEEP: 21 - 6 because it helps you solve for w[tex]\mathsf{21 - 6 = \boxed{\bf 15}}[/tex]
NEW EQUATION: [tex]\mathsf{3w = 15}[/tex]DIVIDE 3 to BOTH SIDES[tex]\mathsf{\dfrac{3w}{3}=\dfrac{15}{3}}[/tex]
CANCEL out: [tex]\mathsf{\dfrac{3}{3}}[/tex] because that gives you 1KEEP: [tex]\mathsf{\dfrac{15}{3}}[/tex] because that gives you the value of wNEW EQUATION: [tex]\mathsf{\dfrac{15}{3}=w}[/tex][tex]\mathsf{\dfrac{15}{3}=\boxed{\bf 5}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your answer: \huge \bf w = 5}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Decide whether the equation describes a function.
y = - 4x-1
Does the equation describe a function?
Yes
Νο.
Answer:
[tex]{ \tt{yes \: it \: describes \: a \: functional \: equation \: of \: a \: line}}[/tex]
Which figures always have right angles?
parallelogram
square
rectangle
trapezoid
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Answer:
squarerectangleStep-by-step explanation:
A rectangle is a parallelogram that has right angles. A square is a rectangle that has adjacent sides the same length.
The figures that always have right angles are ...
square
rectangle