What is the distance, in units, between the y-intercept of f(x) = x2 + 7x - 18 and the y-intercept of the linear function that passes through
the points shown in the table below?
х
g(x)
-5
2
10
11
25
20
60
41
Answer:
y = 0.6x - 5
Step-by-step explanation:
The distance between the y-intercept of f(x) = x^2 + 7x - 18 and the y-intercept of the table is 23 units
How to determine the distance?The function f(x) is given as:
f(x) = x^2 + 7x - 18
The y-intercept is when x = 0.
So, we have:
f(0) = 0^2 + 7(0) - 18
Evaluate
f(0) = -18
For the table, start by calculating the slope (m)
m = 11 - 2/10 + 5
m = 0.6
The y-intercept is then calculated using:
b = y - mx
So, we have:
b = 11 - 0.6 * 10
Evaluate
b = 5
This means that:
y-intercept = 5
The difference between both values is:
Difference = |-18- 5|
Evaluate
Difference = 23
Hence, the distance between the y-intercept of f(x) = x^2 + 7x - 18 and the y-intercept of the table is 23 units
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Find the sum or type "impossible"
2 -5
+
3 6
The sum of the given expression will be equal to -3.
What is an Algebra?Algebra is the study of mathematical symbols and the rules for manipulating them in formulas; it is a common thread that runs through practically all of mathematics.
given expression:
=[tex]\left[\begin{array}{c}2&3\end{array}\right][/tex] + [tex]\left[\begin{array}{c}-5&6\end{array}\right][/tex]
= [tex]\left[\begin{array}{c}2 +(-5)&3+6\end{array}\right][/tex]
=[tex]\left[\begin{array}{c}-3&9\end{array}\right][/tex]
hence, the sum of the given expression -3.
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Real answers only, links and spam WILL be REPORTED.
Please help!!
What is the solution set of this graph?
Answer:
The solution to this graph is (3, -3)
i need help please !
Judys town voted on a new speed limit. 95% of the 2,000 votes were in favor of the new speed limit. How many voted were in favor
Answer:
1,900 votes were in favor.
Step-by-step explanation:
Given that the statement indicates that 95% of the 2,000 votes were in favor, you can find the number of votes in favor by calculating the 95% of the total number of votes:
2000*95%=1900
According to this, the answer is that 1,900 votes were in favor.
Write the nth term of the following sequence in terms of the first term of the sequence.
2, -4, 8, -16, . . .
Answer:
[tex]\bold{a_n=2\cdot(-2)^{n-1}}\\\\or\\\\\bold{a_n=(-1)^{n-1}\cdot2^{n}}[/tex]Step-by-step explanation:
-4÷2 = -2
8÷(-4) = -2
-16÷8 = -2
So this is a geometric sequence with the first term of 2 and a common ratio of -2
the nth term of a geometric sequence: [tex]a_n=a_1\cdot r^{n-1}[/tex]
Therefore:
[tex]a_n=2\cdot(-2)^{n-1}\\\\a_n=2\cdot(-1\cdot2)^{n-1}=2\cdot(-1)^{n-1}\cdot2^{n-1}=(-1)^{n-1}\cdot2^{n-1+1}\\\\a_n=(-1)^{n-1}\cdot2^{n}[/tex]
Answer:
2(-2)^n-1
Step-by-step explanation:
Correct on Odyssey assignment. Hope this helps.
[tex] \huge {\star \: \: \underline{\mathcal{question} \: }\: \star}[/tex]
[tex] \boxed{ \mathtt { \frac{1250}{2} }}[/tex]
Answer:
625
Step-by-step explanation:
I did mental math hope I got it right
Step-by-step explanation:
hope it is helpful to you
Brainliest goes to whoever answers correctly try to show work ONLY if you can
Answer: Caiden's Car gets the highest rate... 16.2 mpg Ethans car 15 mpg
To "show work" Ethan's car only gives 15 mpg. When you look at the graph where the points are at both whole numbers you divide... 30 miles every 2 gallons..... Well whats one gallon? you the divide 30 by 2 and that is 15.
same as the point (5,60) 60/5 is 15
I need help with these questions
Answer: The error is the number of sides, it should be 9 sides and not 25. Correct is 1 260 degrees
Step-by-step explanation:
The error is the number of sides, it should be 9 sides and not 25.
Polygon sum of interior angles formula: 180 x (n-2)
So here n = 9 (sides)
180 x (9-2)
180 x 7 = 1 260 degrees
Answer:
sum of interior angles = 180 * n - 2
n = number of sides
in this case, the shape has 9 sides so n = 9
so the correct answer should be
= 180 * (9-2)
= 180 * 7
= 1260
hello please help i’ll give brainliest
Answer:
I think the answer is before however
Answer:
However
Step-by-step explanation:
I totally am blanking about the name of this situation but the comma goes before and after the "however" :)
what percent of 360 is 120
no links
Answer:
33.33
Percentage Calculator: 120 is what percent of 360? = 33.33.
Tell whether each rate is a unit rate. Select all that apply.
A) 8 dogs for every 5 cats
B) $1.25 per song
C) lap per minute
D)
60students
2classes
E)
15players
1team
F) 4 cups per 2 batches
Answer:
B,C,E
Step-by-step explanation:
because a unite rate is a number over one
7 1/2 /(4 1/2-5 1/8) = ?
Match the following figures with their volume use 3.14 and round the volume to the nearest meter
Which is a logarithmic statement for 10^3.5=3162.28?
A
3.5 log 10 = 3162.28
B.
log 3.5 - 3162.28
C
3162.28 log 3.5 = 10
D
log 3162.28 3.5
Answer:
[tex] log(3162.28) = log( {10}^{3.5} ) = 3.5 log(10) = 3.5 \times 1 = 3.5[/tex]
Each dozen donuts sells for $6.99. What is the difference, in dollars, between
the total sales from the new box over 6 months this year and the total sales
from the original box over 6 months last year?
Answer:
Step-by-step explanation:
Find the slope of the line that passes through (-1, 5) and (1, -5)
Answer:
slope= -5
Step-by-step explanation:
Correct Me, If i am Wrong.
how to find MP when discount percent and SP are given
Given:
Consider the discount percent and SP are given.
To find:
The MP.
Solution:
Let x% be the discount percent Then
[tex]SP=MP-x\%\text{ of }MP[/tex]
[tex]SP=MP-\dfrac{x}{100}MP[/tex]
[tex]SP=\left(1-\dfrac{x}{100}\right)MP[/tex]
[tex]SP=\left(\dfrac{100-x}{100}\right)MP[/tex]
Multiply both sides by 100.
[tex]100SP=(100-x)MP[/tex]
Divide both sides by [tex](100-x)[/tex].
[tex]\dfrac{100}{100-x}SP=MP[/tex]
Therefore, the formula for MP is [tex]MP=\dfrac{100}{100-x}SP[/tex], where x is the discount percentage.
I need help one this one too!! please help asap, ill give brainliest on this one
(05.02) Alex wants to paint one side of his skateboard ramp with glow-in-the-dark paint, but he needs to know how much area he is painting. Calculate the area of the isosceles trapezoid.
A) 112 ft2
B) 128 ft2
C) 132 ft2
D) 144 ft2
Answer:
D.) 144 ft2
Step-by-step explanation:
find the area of triangle
formula:
1/2xbxh
1/2x2x8
8
Multiply by 2
16
move both triangles to create a rectangle
18x8
144ft2
Thank you :)
Answer ASAP please :?
Answer:
The answer is c.
Step-by-step explanation:
so yeah.
4. A college's tuition increases by 15% each year. If tuition for your first year is $27,355, what will the tuition be each of the next three years you are
in school? Round to the nearest dollar.
O a $4,103, $615, $92
Ob $28,723, $30, 159, $31,667
O c $31, 458, $36, 177, $41,604
Od $41,033, $61,549, $92,323
Answer:
c
Step-by-step explanation:
increase in 15% therefore 1.15% of principal amount
$27355 times 1.15= $31458.25
$31458.25 times 1.15=$36,176.8975
$36,176.8975 times 1.15= $41603.53563
round all answers to the nearest dollar and you get
$31, 458, $36, 177, $41,604
so answer c
-x - 4y = 10 in function form
Answer:
y=-x-10
Step-by-step explanation:
I need help ! Asap !! Can somebody please help I just need this done by 10 !
Answer:
in question no. 5 6/12 is not equivalent.
in question no.6 12/48 is not equivalent.
7.=
8.>
9.>
10.$5 for 4 granola bars
11.$8.98 for 12 batteries
Step-by-step explanation:
Hope this helps u!!
Find the solution to the system of equations. Write the solution as an ordered pair.
3x-2y=-9
4x+3y=22
A drawing of a triangle. The base equals 15 centimeters and height equals 8 centimeters.
Answer:
17
Step-by-step explanation:
If we are finding the long angled side (the hypotenuse), we must keep in mind the Pythagorean theorem. This states that in order to find the answer, we must follow: A squared + B squared = C squared. A and B are known as the legs and we use these for A and B. After squaring both 15 and 8 we get 225 + 64= 289. Now that we have our answer of 289, we can square this to find our hypotenuse which is 17. To find the square root, you multiply different numbers by themselves until you reach your answer. 17 x 17 = 289 so the hypotenuse is 17 centimeters long. I hope this helps! :)
Noah was asked to find the median of the following numbers.
115, 109, 117, 136, 127, 131
Noah’s work is shown below.
109, 115, 117, 127, 131, 136
StartFraction 117 + 127 Over 2 EndFraction = StartFraction 244 Over 2 EndFraction = 122
What error, if any, did Noah make?
He forgot to put the numbers in order first.
He crossed off the high/low number pairs incorrectly.
He left out a number when putting the numbers in order.
He did not make any error.
Answer:
No error
Step-by-step explanation:
Nothing to explain
Answer:
Noah did not make any errors
Step-by-step explanation:
The median is a list of strictly increasing numbers is simply the middle number. if there's an even number of numbers in the list, then the median is the average of the middle terms.
here, the numbers are 115, 109, 117, 136, 127, 131. when ordered from least to greatest we get 109, 115, 117, 127, 131, 136 which is what Noah got.
since there are 6 numbers (6 is even), the median will be the average of the middle two numbers which are 117 and 127: (117+127)/2=244/2=122
so Noah is was correct.
what's an expression equivalent to 3a-10a
Answer:
Ummmm
Step-by-step explanation:
At the end of the baseball season the chargers and the renegades have won a total of 31 games the chargers had 15.2 times as many games as the renegades how many games did each team win
Answer: the answers should be 15.2% of 30 = 4.56
Step-by-step explanation:
A circle's radius is 25 inches.
What is the circle's circumference (use 3.14 for pi and round to
nearest tenth
Answer:
C≈157.08in
Step-by-step explanation:
C=2πr=2·π·25≈157.07963in
3⋅f(−4)−3⋅g(−2)????????