Answer:
y=3/2x-16
Step-by-step explanation:
The equation of the line passing from points (10, -1) is y = 3x/2 - 16.
What is equation of a line?A straight line's equation is a mathematical formula that describes the relationship between the coordinate locations along the line. It conveys the slope, x-intercept, and y-intercept of the line and can be expressed in a variety of ways. Y = mx + c and axe + by = c are the two versions of the equation of a straight line that are most frequently employed.
Given slope = 3/2 and points (10, -1)
equation of line is given by y = mx + c
m = 3/2
y = 3/2x + c
substitute points,
-1 = 10*3/2 + c
c = -16
equation of line is y = 3x/2 - 16
Hence the equation is y = 3x/2 - 16.
Learn more about equation of a line;
https://brainly.com/question/21511618
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Solve for a when x is 12
X=
(1 + a)
(1 – a)
Answer:
so i checked on many apps cause im kinda stupid and didnt know and they all said a=11/13 but you could wait for sum1 else to answer
Step-by-step explanation:
A local hamburger shop sold a combined total of 721 hamburgers and cheeseburgers on Thursday. There were 71 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?
Answer:771-71/2= 350 hamburgers and 350 +71 cheeseburgers
Step-by-step explanation:
-4(3/2x - 1/2) = -15
Answer:
2.8333333333333333333
Step-by-step explanation:
I have high iq
-4(3/2x - 1/2) = -15
Distribute -4
-6x + 2 = -15
Subtract 2 from both sides
-6x = -17
Divide 6 from both sides
x = 2.83333333333333333
Why is it important for mathematicians to graph functions? Select all that apply.
A. For them to determine if a function can be inverted.
B. For them to visualize the function.
C. For them to extrapolate beyond the known data.
D. For them to determine if the function can be graphed.
E. For them to determine characteristics of the function.
Answer:
e
Step-by-step explanation:
s
Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = f (b) − f (a) b − a . If the Mean Value Theorem cannot be applied, explain why not.
f(x) = x^3 + 2x, [-1,1]
Answer:
There is a value of [tex]c[/tex] in (-1, 1), [tex]c = 0.577[/tex].
Step-by-step explanation:
Let [tex]f(x) = x^{3}+2\cdot x[/tex] for [tex]x \in[-1,1][/tex], we need to prove that [tex]f(x)[/tex] is continuous and differentiable to apply the Mean Value Theorem. Given that [tex]f(x)[/tex] is a polynomical function, its domain comprises all real numbers and therefore, function is continuous.
If [tex]f(x)[/tex] is differentiable, then [tex]f'(x)[/tex] exists for all value of [tex]x[/tex]. By definition of derivative, we obtain the following expression:
[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} \frac{(x+h)^{3}+2\cdot (x+h)-x^{3}-2\cdot x}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} \frac{x^{3}+3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot x+2\cdot h-x^{3}-2\cdot x}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} \frac{3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot h}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} 3\cdot x^{2}+ \lim_{h \to 0} 3\cdot x \cdot h+ \lim_{h \to 0} h^{2}+ \lim_{h \to 0} 2[/tex]
[tex]f'(x) = 3\cdot x^{2}+2[/tex] (Eq. 2)
The derivative of a cubic function is quadratic function, which is also a polynomic function. Hence, the function is differentiable at the given interval.
According to the Mean Value Theorem, the following relationship is fulfilled:
[tex]f'(c) = \frac{f(1)-f(-1)}{1-(-1)}[/tex] (Eq. 3)
If we know that [tex]f(-1) = -3[/tex], [tex]f(1) = 3[/tex] and [tex]f'(c) = 3\cdot c^{2}+2[/tex], then we expand the definition as follows:
[tex]3\cdot c^{2}+2 = 3[/tex]
[tex]3\cdot c^{2} = 1[/tex]
[tex]c = \sqrt{\frac{1}{3} }[/tex]
[tex]c \approx 0.577[/tex]
There is a value of [tex]c[/tex] in the interval (-1, 1), [tex]c = 0.577[/tex].
I WILL REWARD BRAINLIEST OKAY IM BEGGING YOU HELP ME
IN THAT PHOTO WHAT ARE THE X AND Y INTERCEPTS!?! WAIT DON'T LOOK AT THE PHOTO YET!!
PLEASE LOOK AT THIS EXAMPLE:
X intercept: ( ), ( )
Y intercept: ( ), ( )
NOW LOOK. AT THE PHOTO PLEASE!!
Answer:
X-intercept: -10
Y-intercept: -45
(-10),(-45)
Step-by-step explanation:
Hop this helped, Have a Wonderful Day!!
David has available 40 yards of fencing and wishes to enclose a rectangular area.
Answer:
5 units will be your width and 15 will be your length so it would look like side#1=5 side #2=15 side number3 is 5 and side number 4 is 15 assuming that side 1 and 3 are parallel.
Step-by-step explanation:
yes
In a particular game, the probability of winning $95 is 1/36 and the probability of losing $7 is 35/36. What is the expected value after playing this game? Round to the nearest cent.
Answer:
1.53
Step-by-step explanation:
1
36
(
85
)
+
(
35
36
)
(
−
4
)
=
E
V
85
36
−
140
36
=
E
V
−
55
36
=
E
V
E
V
≈
−
$
1.53
when a pendulum swings, at which point is potential energy highest?
what is equivalent to x+x ?
a)xx
b)2x
c)x^2
d)2^x
Answer:
b
Step-by-step explanation:
I think it is B because x+x is two x's so it would be 2x. I hope this helped have a good day
45×(−10)×45 STEP explanation
Answer:
-20,250
Step-by-step explanation:
PEMDAS
Multiply left to right
45 * -10 * 45
45* -10
-450 * 45 =
-20,250
7. Which of the following illustrates the commutative property of multiplication?
(1) 5(2x) =(5-2)x
(2) 4(2x+5) = 4 - 2x+4-5
(3) x2 +5=5+x2
(4) 2x -3x = 2-3-X-X
show work pleasee
18. Which product is greater. (-4)-(-6) or
(-7).(-8)? Explain.
Answer:
So when u do (-4)-(-6) it equals 2.
But when u do (-7)*(-8) it equals 56
Therefore saying that (-7)*(-8)=56 is the greatest product.
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
-0.4
Step-by-step explanation:
Answer:
Step-by-step explanation:
-413.4=-15.9n please help
Answer:
[tex]\boxed {n = 26}[/tex]
Step-by-step explanation:
Solve for [tex]n[/tex]:
[tex]-413.4 = -15.9n[/tex]
-Switch sides:
[tex]-15.9n = -413.4[/tex]
-Divide both sides by [tex]15.9[/tex] and expand by multiplying both numerator and denominator by [tex]10[/tex]:
[tex]\frac{-15.9n}{-15.9} = \frac{-413.4}{-15.9}[/tex]
[tex]n = \frac{-4134}{-159}[/tex]
-Divide [tex]-4134[/tex] and [tex]-159[/tex]:
[tex]n = \frac{-4134}{-159}[/tex]
[tex]\boxed {n = 26}[/tex]
Therefore, the value of [tex]n[/tex] is [tex]26[/tex].
The table shows the mean number of basketball goals made by four random samples of players from the school team during this year’s season. Sample # Sample Mean Number of Goals 1 7 2 4 3 5 4 8 Is a valid prediction for the mean of the population possible using these samples? No, there are not enough samples. Yes, the sample means are all less than 10. Yes, the variation of the sample means is small. No, the variation of the sample means is too great.
Answer:
Answer is C
Step-by-step explanation:
There is not enough samples.
Answer:
Yes, the variation of the sample means is small.
Step-by-step explanation:
How many proportional relationships are shown
Answer:
2 I think thats the answer
Step-by-step explanation:
Will mark as brainless if you answer correctly
Answer:
ans=10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
10(4-7) / -(4 - 1)
10(-3) / -(3)
-30 / -3 =
10
If AABC and AXYZ are similar, which must be true?
Answer:
(D).
Step-by-step explanation:
ΔABC ~ ΔXYZ
(D). [tex]\frac{AC}{XZ}[/tex] = [tex]\frac{BA}{YX}[/tex]
What is one characteristic of the cosine function? It is an odd function. It has a period equal to π. Its graph is symmetric about the y-axis. Its domain is between –1 and 1 and is inclusive.
Answer:
D) its domain is between -1 and 1
Step-by-step explanation:
cos is actually an even function, and it has a period of 2π.
Sine has a graph symmetric about the y-axis, not cosine.
Answer:
C. Its graph is symmetric about the y-axis.
Step-by-step explanation:
If you graph on desmos it shows that it is symmetric about the y-axis :)
Suppose that a company has fixed costs of $23 per unit and variable costs $10 per unit when 13,500 units are produced. What are the fixed costs per unit when 10,000 units are produced?
answer
32632 answer hai bro
What percent is:
45 of 36
Answer:
45 is 125% of 36, and 36 is 80% of 45.
Step-by-step explanation:
help please ASAP!!!!!
you can zoom in to see better
Answer:
true, false, and false
Step-by-step explanation:
Write the equation of a line perpendicular to y=-5x that passes through the point (1,1) in slope intercept form. (This question is worth 2 points. One point for the correct slope and the second point is for the correct y intercept.)
Answer:
y= 1/5x + 0.8
Step-by-step explanation:
Hope this helps
5z + 3n -z2 ; n = 4.5 , z = 6 PLZ answer this
Answer:
5(6)+3(4.5)- 6(2)= 31.5
Step-by-step explanation:
Answer:
hmmmmm
Step-by-step explanation:
best estimate for 563 / 15
Answer: 37 8/15 or 37.53
Step-by-step explanation:
use math_way its amazing for math problems, if i could give a rating it would definitely get 5 stars.
its a website and a app i believe it can be used for ios and android
aka apple and everything else
btw i had to add that (_) <that in the name because it wont let me say it normally
An integer is 15 more than 2 times another. If the product of the two integers is -27, then find the integers
Answer:
The required integers are x=3 and y= -9
Step-by-step explanation:
Let one the integers be x and y
An integer is 15 more than 2 times another: x=15+2y
product of the two integers is -27: x*y=27
[tex]x=15+2y ---eq(1)\\x*y=-27----eq(2)[/tex]
Solving both equations to find values of x and y
Putting value of x from equation 1 in equation 2
[tex](15+2y)*y=-27\\15y+2y^2=-27\\Rearranging:\\2y^2+15y-27=0[/tex]
This can be solved using quadratic formula:
[tex]$y=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]
Putting values and finding factors
[tex]$y=\frac{-(15)\pm\sqrt{(15)^2-4(2)(-27)}}{2(2)}$\\$y=\frac{-(15)\pm\sqrt{225+216}}{4}$\\$y=\frac{-(15)\pm\sqrt{441}}{4}$\\$y=\frac{-(15)\pm21}{4}$\\$y=\frac{-(15)+21}{4} \ or \ y=\frac{-(15)-21}{4}$\\$y=\frac{6}{4} \ or \ y=\frac{-36}{4}$\\$y=\frac{3}{2} \ or \ y=-9$[/tex]
Since y is integer so, we consider only y= -9
The value of x will be:
[tex]x*y=-27\\x*(-9)=-27\\x=\frac{-27}{-9} \\x=3[/tex]
So, the value of x is x=3
The required integers are x=3 and y= -9
PQ is equal to RQ so b=?
Answer: 17
Step-by-step explanation:
A sample of n = 16 scores has a mean of M = 40 and a variance of s2 = 64. What is the estimated standard error for the sample mean?
Answer:
[tex]S.E = 2[/tex]
Step-by-step explanation:
Given
[tex]Mean = 40[/tex]
[tex]s^2 = 64[/tex] ----- variance
[tex]n = 16[/tex] ------------ sample
Required
Determine the S.E
The estimated standard error (S.E) for the sample mean is calculated using the following formula:
[tex]S.E = \frac{SD}{\sqrt n}[/tex]
Where
[tex]SD = Standard\ Deviation[/tex]
[tex]SD = \sqrt {s^2}[/tex]
[tex]SD = \sqrt {64}[/tex]
[tex]SD = 8[/tex]
So:
[tex]S.E = \frac{SD}{\sqrt n}[/tex]
[tex]S.E = \frac{8}{\sqrt{16}}[/tex]
[tex]S.E = \frac{8}{4}[/tex]
[tex]S.E = 2[/tex]
Hence: the estimated standard error for the sample mean is 2
Ella swims four times a week at her clubs pool. She swims the same number of labs on Monday, Wednesday, and Friday, and 15 laps on Saturday. She swims a total of 51 labs each week. How many laughs does she swim on Monday?