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Domain: All real numbers. Inequality Notation: -infinity<x<infinity, Interval notation: (-infinity,infinity).
_______
Range: All real numbers greater than or equal to 3. Inequality notation: x ≥ 3, Interval Notation: [3,infinity).
Related Questions
y= 2x² + 36x + 170
(Find the vertex, show steps)
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Find the vertex of x²+18x+85
This is written of the form ax²+bx+c
a=1, b=18, c=85
The axis of symmetry is -b/2a
The axis of symmetry is the x term of your vertex (h,k)
So we have
h=-(18)/2
h=-9
k=f(-9) given that f(x) is x²+18x+85
(-9)²+18(-9)+85
81-162+85
-81+85
4
So your k value is 4
So because you’re vertex is (h,k) and since we found that h=-9 and k=4, your vertex is (-9,4)
Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 240 rounds. At what rate has Ashley ridden her horse in rounds per hour?
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Answer:
40
Step-by-step explanation:
Marty bought a $48 sweatshirt and used a coupon for a 10% discount. How much did Marty pay for the sweatshirt?
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Answer:
$43.20
Step-by-step explanation:
10% of 48 is 4.8 or 4.80 so 48-4.80=$43.20
Answer:
$43.02
Step-by-step explanation:
$48 - 10% equals 43.02
What is the equation of the line that passes through the points (-4, 2) and (12,6)?
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Answer:
y=0.25x+3
Step-by-step explanation:
How is online school going so far?
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What's the value of
z? - 3x + 1
when x = -2 and y = 42
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Answer: 11
Step-by-step explanation:
Based on te question in the picture (which is different from what you wrote)
x^2 - 3x + 1
-2^2 - 3(-2) + 1
4 + 6 + 1 = 11
State whether the given measurements determine zero, one, or two triangles.
A = 61°, a = 23, b = 24
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Answer:
One
Step-by-step explanation:
Find the value of B
Applying the law of sines
[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{b}{sin(B)}[/tex]
substitute the given values
[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{24}{sin(B)}[/tex]
sin (B) = [tex]\frac{24}{23}[/tex]Sin(61)
step 2
Find the measure of angle C
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
61 + 65.87 + C = 180
C = 53.13
step 3
Find the value of c
Applying the law of sines
[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{c}{sin(C)}[/tex]
substitute the given values
[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{c}{sin(53.13)}[/tex]
c = [tex]\frac{23}{sin(61)}[/tex]SIN (53.13)
C=21.04 units
so
there can only be one value for each measurement, therefore there can only be one triangle
Answer:
The answer is 2 triangles
Step-by-step explanation:
I took the test.
in the school there is 1 boy for every 4 girls. there is a total of 11 boys how many girls are in choir
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Answer:
There are 33 girls in choir
Step-by-step explanation:
4 x 11 = 44 (we get four from the 1 boy for every 4 girls)
assuming that we have 44 kids in the class, 1/4 will be boys. 44/4 = 11 which means that we subtract 11 from 44 which will get you 33.
If there is a total of 11 boys. Then the number of girls in the choir will be 44 girls.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
In the school, there is 1 boy for every 4 girls.
If there is a total of 11 boys. Then the number of girls in the choir will be given as,
⇒ 11 x 4
⇒ 44 girls
If there is a total of 11 boys. Then the number of girls in the choir will be 44 girls.
More about the Algebra link is given below.
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Which list is in order from least to greatest?
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Answer: A
Step-by-step explanation:
Scientific notation exponents are in order from least to greatest and 8.1 > 6
pls help ASAP i got only 5 minuts left
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Patty needs a total of $80 to buy a bicycle. She has already saved $35. If she saves $10 a week from her earnings, what is the least number of weeks she must work to have enough money to buy the bicycle?
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Answer:
5 weeks
Step-by-step explanation:
She would need to work at least 8 weeks because the bicycle is $80 and she has $35.
Answer:
5 weeks
Step-by-step explanation:
i took 80 - 35 to get 45 (money she still needs)
then took 45 divided by 10 to get 4.5 ( how many weeks till she has the money)
and if you get 10 dollars per week and its asking how many weeks
you have to up the 4 by one because it has a .5
so it would be 5 weeks
A store manager instruct his employees to mark up all items by 30%.
What was the clerks likely error?
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Answer: i have this work book and i guess it would be the clerk didnt put the amonut up enough
Step-by-step explanation:
Quien quiere ser mi amigo o amiga? Manden soli si quieren XD
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si me gustaria ser tu amiga :)
a rectangular sheet of paper is 5 2/3cm long and 3 1/5cm wide. find its perimeter
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Answer:
85/15+48/15=133/15 ×2=266/15 cm
=17 11/15 cm
Step-by-step explanation:
Solve for x and y, will mark brainliest please help!
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Answer: x=37, y=9
Step-by-step explanation:
3x+11+x+21=180
4x+32=180
4x=148
x=37
3(37)+11=14y-4
111+11=14y-4
122=14y-4
14y=126
y=9
Does this represent a function?
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Answer:
No.
Step-by-step explanation:
A graph must pass the Vertical Line Test in order to be a function. Since this graph doesn't pass the test, it is not a function.
However, this graph is a conic, specifically a hyperbola.
if you place a 37 foot ladder against the top of a 12 foot building, how many felt will the bottom of the ladder be from the bottom of the building
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Answer:
Would it be 25 that’s what I got
Step-by-step explanation:
Answer and I will give you brainliest.
A cat can travel a distance of 32.5 meters in 13 seconds. What is the average speed of the cat to the nearest hundredth of a m/s? *
A 2.5 mph
B 0.4 mph
C 2.5 m/s
D 0.4 m/s
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Answer:
D: 0.4 m/s
Step-by-step explanation:
32.5 in 13 sec
32.5/32.5=1
so
13/32.5 would be the answer
1 meter in 0.4
Answer:
C
Divide 32.5 with 13, because m/s means meters divide by seconds
im not sure tho
Find the mistake made in the steps to solve the equation below
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Answer:
C. Step 3 is incorrect and should be x=10/8
Answer:
c. step 3 is incorrect and should be x=10/8
expand and simplify 3(3x-4)-2(2x-1)
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Answer:
5x-10
Step-by-step explanation:
distribute 3 & 2 thought the parenthesis
Paisley earned $384.30 at her job when she worked for 21 hours. How much money did she earn each hour?
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Answer:
18.3
Step-by-step explanation:
384.3 divided by 21
What is an equation of the line that passes through the point (- 8, 0) and is parallel to the line x - 2y = 10 ?
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4x+2y+10 = 0 can be rewritten as 2y = -4x-10 and dividing by 2 yields the slope/intercept form of y = mx+b
y = -2x-5
where -2 is the slope (m) and -5 the y-intercept (b)
the line we seek has that same slope, will pass through (7,3), but will have a different y-intercept. Plugging in 7 and 3 for x and y gives us
3 = -2(7)+b => 3 = -14+b => 17 = b making our new line’s equation:
y = -2x+17
An equation of the line that passes through the point (- 8, 0) and is parallel to the line x - 2y = 10 is y = -2x+17.
How to get the slope intercept form of a straight line equation?If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:
y = mx +c
To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.
We know that 4x+2y+10 = 0 can be rewritten as 2y = -4x-10
Thus, dividing by 2 yields the slope/intercept form of y = mx+b
y = -2x-5
where, -2 is the slope (m) and -5 the y-intercept (b)
Now the line we has that same slope, will pass through (7,3), but will have a different y-intercept.
Then Plugging in 7 and 3 for x and y gives us;
3 = -2(7)+b
3 = -14+b
17 = b
Therefore, our new line’s equation:
y = -2x+17
Learn more about straight line equation here:
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write a situation to represent the equation y=0.5x
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Answer:
John went out to buy apples, the apples at the store each costed 0.5 dollars. How much money did John spend if he bought 50 apples?
Pretty simple, hopefully it is good enough, hope this helps!
A line's equation is a unified representation of all of the line's points.
Find the equation of the line pass though origin and slope 1/2 ?
What is the Equation of a Line?A line's equation is a unified representation of all of the line's points. Any point on a line will satisfy the equation in its general form, which is of the form ax + by + c = 0. The slope of the line and a point on the line are the two essential elements needed to create the equation of a line.A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are represented by y and x, respectively. where "m" represents a line's slope. So, the slope of a line is tan.To learn more about : Equation of a line.
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Which one?
A. B. C. or D?
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Find the slope of the table
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Answer:
The slope should be -5/8
Step-by-step explanation:
The equation used to find the slope using a table is:
[tex]\frac{y2-y1}{x2-x1}[/tex]
To get the values, take two points from the table. For example:
(8, -5) and (16, -10)
Write and classify them as (x1, y1) and (x2, y2). Knowing that these values equal the numbers, put the numbers in the equation above, and you should find the slope.
Last week, Shelly tode her bike a total of 30 miles over a three-day period.
On the second day, she rode the distance she rode on the first day.
On the third day, she rode the distance she rode on the second day.
rts
How many miles did Shelly ride on each day? Select your answers from the drop-down lists.
On the first day, Shelly rode
miles.
On the second day, Shelly rode
miles.
ols
On the third day, Shelly rode
miles.m
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Answer:
Step-by-step explanation:
ON THE FIRST DAY, SHELLY RODE 12 MILES
Convert to meters: 22 km
Answers
Answer:
22000 meters
Step-by-step explanation:
Step-by-step explanation:
1km = 1000m
22km×1000
22000
how do i graph 2x+4y=12
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Answer:
(0,3) (6,0)
Step-by-step explanation:
The function g(x) represents f(x) = 9 cosine (x minus StartFraction pi Over 2 EndFraction) + 3 after translating StartFraction pi Over 6 EndFraction units left and 4 units up.
Which equation represents g(x)?
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Answer:
B
Step-by-step explanation:
Im almost sure it B but if not then its for sure D.
The equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
What is translation?Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.
The function is given as
[tex]f(x)=9cos(x-\frac{\pi }{2} )+3[/tex]
The function f(x) is first translated [tex]\frac{\pi }{6}[/tex] units left.
The rule of translation is:
[tex](x,y)=(x+\frac{\pi }{6},y)[/tex]
So, we have:
[tex]f'(x)=9cos(x+\frac{\pi }{6} -\frac{\pi }{2} )+3[/tex]
Take LCM
[tex]f'(x)=9cos(x+\frac{\pi-3\pi }{6} )+3[/tex]
[tex]f'(x)=9cos(x-\frac{2\pi }{6} )+3[/tex]
[tex]f'(x)=9cos(x-\frac{\pi }{3} )+3[/tex]
Next, translate f'(x) 4 units up.
The rule of this translation is:
[tex](x,y)=(x,y+4)[/tex]
So, we have:
[tex]g(x)=9cos(x-\frac{\pi }{3} )+3+4[/tex]
[tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex]
Hence, the equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].
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Question Progress
Homework Progr
16
0
Work out
5-2x 38
Give your answer as a decimal.
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Have a nice day