Answer:
Step-by-step explanation:
Here is your x/y table, a bit more organized:
x | 3 5 7
y | -2 -26 -50
The rate of change is the same thing as the slope. If the slope between coordinates 1 and 2 is the same as the slope between coordinates 2 and 3, we have a linear function in the form y = mx + b, where m is the slope and b is the y-intercept. We will have to solve for b if we want to use this form. Or we could use the point-slope form and not have to solve for b. Let's do that. But first things first. The slope:
Between the first 2 coordinates (3, -2) and (5, -26):
[tex]m=\frac{-26-(-2)}{5-3}=\frac{-24}{2}=-12[/tex]
Between coordinates 2 and 3 which are (5, -26) and (7, -50):
[tex]m=\frac{-50-(-26)}{7-5} =\frac{-24}{2}=-12[/tex]
The slopes are the same, so this in fact a linear function with m = -12. But that's all we have, so let's use the point-slope form of a line to write the equation:
[tex]y-y_1=m(x-x_1)[/tex] where [tex]x_1[/tex] and [tex]y_1[/tex] are coordinates found in the table. Plugging in the first coordinate along with the slope of -12:
[tex]y-(-2)=-12(x-3)[/tex] and
y + 2 = -12x + 36 and
y = -12x + 36 - 2 so the equation for the line in slope-intercept form is
y = -12x + 34
Regardless of which coordinate point you choose as your x1 and y1, I promise you that you will still get the same equation for the line!
Answer:
hi its -12 and decreasing.
Simplify the polynomial, then evaluate for x=2. x=3x^2+2x-3-4x^2+6
Answer:
-x^2+3x+3; 5
Step-by-step explanation:
polynomial is -x^2+3x+3
when x=2 then -2^2+3*2+3=-4+6+3=5
The solution is Option B.
The value of the equation is A = -x² + 3x + 3 , and when x = 2 , A = 5
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = x + 3x² + 2x - 3 - 4x² + 6 be equation (1)
On simplifying the equation , we get
A = 3x² - 4x² + x + 2x - 3 + 6
A = -x² + 3x + 3
Now , when x = 2
Substitute the value of x = 2 in the equation , we get
A = - ( 2 )² + 3 ( 2 ) + 3
A = -4 + 6 + 3
A = 9 - 4
A = 5
Therefore , the value of A is 5
Hence , the equation is A = -x² + 3x + 3
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writing an equation in Point-Slope Form
Write the point-slope form of the equation for a line that passes through (6, -1) with a slope of 2.
Answer:
y+1 = 2(x-6)
Step-by-step explanation:
We have a point (6,-1) and a slope m=2
The point slope form of a line is
y-y1 = m(x-x1)
y- -1 = 2(x-6)
y+1 = 2(x-6)
Answer: y - (-1) = 2(x-6) which is basically y + 1 = 2(x - 6)
Step-by-step explanation:
Disregard my explanation, its in the wrong form
Point-slope form is y = mx + b
They gave us m, 2. And they gave us the coords, (6, -1)
All you have to do is plug this info in to get:
[tex]-1=2(6)+b\\-1=12+b\\b=-13[/tex]
A
1
3
-2
-1
0
B
-1
The midpoint of AB = ([?], [ ])
Answer: The midpoint is (1,0)
Step-by-step explanation:
Point B has the coordinates (-1,-1) and point A has the coordinates (3,1). To find the midpoint point,find the mean average of the x and y coordinates.
x coordinates. [tex]\frac{-1+3}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
y coordinates . [tex]\frac{-1+1}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0
Midpoint: (1,0)
can someone please help me
Answer:
Step-by-step explanation:
correct one is b
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h = –16t^2 + 36t + 10. a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. b. What is the ball’s maximum height?
Step-by-step explanation:
We have,
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function :
[tex]h=-16t^2 + 36t + 10[/tex] ......(1)
Part (a) :
The maximum height reached by the ball is given by :
[tex]\dfrac{dh}{dt}=0\\\\\dfrac{d(-16t^2 + 36t + 10)}{dt}=0\\\\-32t+36=0\\\\t=\dfrac{36}{32}\\\\t=1.125\ s[/tex]
Part (b) :
The maximum height of the ball is calculated by putting t = 1.125 in equation (1) such that :
[tex]h=-16(1.125)^2 + 36(1.125)+ 10\\\\h=30.25\ m[/tex]
The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).
According to the 68-95-99.7 rule, what percentage of jazz CDs play between 38 and 59 minutes?
Answer:
68% of jazz CDs play between 45 and 59 minutes.
Step-by-step explanation:
The correct question is: The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).
According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?
Let X = playing time of jazz CDs
SO, X ~ Normal([tex]\mu=52, \sigma^{2} =7[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
Now, according to the 68-95-99.7 rule, it is stated that;
68% of the data values lie within one standard deviation points from the mean.95% of the data values lie within two standard deviation points from the mean.99.7% of the data values lie within three standard deviation points from the mean.Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;
For 45 minutes, z-score is = [tex]\frac{45-52}{7}[/tex] = -1
For 59 minutes, z-score is = [tex]\frac{59-52}{7}[/tex] = 1
This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.
which funtion's domain consists of all real numbers execpt -2 will mark brainliest and im giving 87 points
Answer:
A
Step-by-step explanation:
Basically when we have x in the denominator, we don't want the denominator to be 0 as the value of f(x) will then be undefined. Therefore the answer is A.
Use completing the square to solve for X in the equation (c+7)(x-9)=25
Answer:
x = 1 ± √89
Step-by-step explanation:
Step 1: Expand
x² - 2x - 63 = 25
Step 2: Isolate xs
x² - 2x = 88
Step 3: Complete the square
x² - 2x + 1 = 88 + 1
(x - 1)² = 89
Step 3: Square root both sides
√(x - 1)² = ±√89
x - 1 = ±√89
Step 4: Isolate x
x = 1 ± √89
5196
A large rectangle is made by joining three identical small rectangles as shown.
The perimeter of one small rectangle is 21 cm.
The width of one small rectangle is x cm.
x cm
Work out the perimeter of the large rectangle.
The final line of your answer should be of the form,
Perimeter of large rectangle is ... cm
Answer:
35 cm
Step-by-step explanation:
As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,
The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:
2(length + width) = Perimeter
2(2x + x) = 21
2(3x) = 21
6x = 21
x = 21/6 = 3.5 cm
x = 3.5 cm
From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:
2(length + width) = Perimeter
2(3x + 2x) = Perimeter
Perimeter = 2(5x)
Perimeter = 10x
Perimeter = 10(3.5)
Perimeter = 35 cm
The transformation from the function f(x)=3x to the function f(x) 3x-8
Answer:
It moves 8 to the right
Step-by-step explanation:
This is in the y axis so it will move 8 on the x axis
Each of these figures is based on a rectangle whose centre is shown.
How many of the figures have rotational symmetry of order two?
The last 2 shapes.
When you rotate both of them 360 degrees only at 180 and back at 360 it looks same.
A. One player places 1 red, 5 green and 3 blue tiles in Bag A, and 6 red, 4 green, and 2 blue in Bag B. What is the probability that the second player draws 2 tiles of the same color?
Answer:
[tex]\frac{8}{27}[/tex] is the probability that a player draws out two tiles of the same color assuming they are drawing one tile from each bag.
Step-by-step explanation:
In each bag there are red, green, and blue tiles, meaning that no matter which color is pulled out first there is always some probability that the second tile will be the same color. So, we can set up three possible outcomes:
Red: The player pulls out a red tile first. This has a [tex]\frac{1}{9}[/tex] probability of happening. Then in order to succeed for the problem, the next tile also needs to be red which has a [tex]\frac{6}{12}[/tex] probability attached to it. [tex]\frac{1}{9}[/tex] × [tex]\frac{6}{12}[/tex]=[tex]\frac{1}{18}[/tex] probability of happening.
Green: There is a [tex]\frac{5}{9}[/tex] probability of the player pulling out a green tile first. In this case we want to calculate the probability of the second tile being green, which would be [tex]\frac{4}{12}[/tex]. [tex]\frac{5}{9}[/tex]×[tex]\frac{4}{12}[/tex]=[tex]\frac{5}{27}[/tex].
Blue: There is a [tex]\frac{3}{9}[/tex] probability of the first tile being blue in which case we are hoping for the second tile to be blue as well. The probability of the second tile being blue is [tex]\frac{2}{12}[/tex] on its own, and them both being blue is [tex]\frac{3}{9}[/tex]×[tex]\frac{2}{12}[/tex]=[tex]\frac{1}{18}[/tex]
Adding [tex]\frac{1}{18}[/tex]+[tex]\frac{1}{18}[/tex]+[tex]\frac{5}{27}[/tex] we get the answer [tex]\frac{8}{27}[/tex].
Is 1,2,3,4 a geometric sequence ?
The price of a bracelet is $1.29. If the tax rate is 5%, find the total cost of
the bracelet
Answer: $1.35
Step-by-step explanation:
1.29 * 5% = 1.29 * 0.05 = 0.0645
0.0645 rounds down to 0.06
1.29 + 0.06 = 1.35
Factor 60 y − 90 − 20 x 60y−90−20x60, y, minus, 90, minus, 20, x to identify the equivalent expressions. Choose 2 answers: Choose 2 answers: (Choice A) A 5 ( 14 y − 16 − 4 x ) 5(14y−16−4x)5, left parenthesis, 14, y, minus, 16, minus, 4, x, right parenthesis (Choice B) B 2 ( 30 − 45 − 10 ) 2(30−45−10)2, left parenthesis, 30, minus, 45, minus, 10, right parenthesis (Choice C) C 5 ( 12 y − 18 − 4 x ) 5(12y−18−4x)5, left parenthesis, 12, y, minus, 18, minus, 4, x, right parenthesis (Choice D) D 10 ( 6 y − 9 − 2 x ) 10(6y−9−2x)
Answer:
D. 10(6y - 9 - 2x)
Step-by-step explanation:
We want to factor 60y - 90 - 20x.
We simply have to find the Highest Common Factor of the three numbers and factorize that out of the expression.
10 is common among all three:
10(6y - 9 - 2x)
We have factored it.
Answer:
c
d
Step-by-step explanation:
Resolve into factors:2p(p-1)-p+1
Answer:
Do it your self
Step-by-step explanation:
Someone help please
Step-by-step explanation:
First let us suppose the missing number x
I think we will cross multiply
5b2 = bx
5b2/b = bx
5b = x
Answer:
[tex]25[/tex] will go into the box.
Step-by-step explanation:
Square the denominator and the denominator to get the required expression.
[tex]\frac{5}{b}=\frac{5^2}{b^2}=\frac{25}{b^2}[/tex]
Best Regards!
Which of the following represents the factorization of the polynomial below x^2+13x+42
Answer:
(x+7)(x+6)
Step-by-step explanation:
x²+13x+42
x²+6x+7x+42
x(x+6)+7(x+6)
(x+6)(x+7)
Answer:
a) (x+7) (x+6)
Step-by-step explanation:
That is the correct answer because you get it when you factor the current equation.
Hope it helps
HOW DO U COMBINE LIKE TERMS I LITERALLY FORGOT LMK DO NOT LOOK IT UP OR ELSE CAUSE IMMA USE GRAMMARLY FOR UR ANSWERS AND SEE IF U DIDNT LOOK IT UP THANK YOU SMMMMM
Answer:
you combine like terms by adding them up
Step-by-step explanation:
Express in the form n : 1 12 : 2
Answer:
6 : 1
Step-by-step explanation:
Given the ratio
12 : 2 ( divide both parts by 2 )
= 6 : 1 ← in the form n : 1
Which graph shows the solution to this system of inequalities?
Answer:
Your graph is supposed to be like this so your answer is C
Step-by-step explanation:
Hope this is correct
HAVE A GOOD DAY
find the value of x and z
please give correct answers
it's urgent
Step-by-step explanation:
Since 4x + 24 and 7x + 3 are vertical angles, that means they are congruent so we can write:
4x + 24 = 7x + 3
-3x = -21
x = 7°
Since 4x + 24 and z form a linear pair, they are supplementary (meaning they have a sum of 180°) so we can write:
4x + 24 + z = 180
4 * 7 + 24 + z = 180 (Substitute x = 7)
28 + 24 + z = 180
52 + z = 180
z = 128°
work out the volume of a sphere please help i’ll give u brainlest
Answer:
V = 3591.4 cm³
Step-by-step explanation:
Volume of Sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where r = 9.5 cm
V = [tex]\frac{4}{3} (3.14)(9.5)^3[/tex]
V = [tex]\frac{4}{3} (3.14)(857.4)[/tex]
V = [tex]\frac{10774}{3}[/tex]
V = 3591.4 cm³
Answer:
[tex]3591.4{cm}^{3} [/tex]
Step-by-step explanation:
[tex]v = \frac{4}{3} \pi {r}^{ 3} \\ = \frac{4}{3} \times \pi \times 9.5 \times 9.5 \times 9.5 \\ = 3591.4 \\ [/tex]
8 1/6 × 12 solve the equation
Answer:
Step-by-step explanation:
8 1/6=49/6
49/6*12=49*2=98
if this is the question 81÷6(81/6) ×12
Answer:243
EXPLANATION:
what is the graph of y > x2-9.
Answer:
The 1st graph
Step-by-step explanation:
When you graph the equation in a graphing calc, you should be able to see that the graph most similar would be the 1st one.
Write 14/√2 + √50 in the form b√2 where b is an integer.
Answer:
[tex]12 \sqrt{2} [/tex]
Step-by-step explanation:
Taking the terms one at a time,
[tex] \frac{14}{ \sqrt{2} } \\ \frac{14 * \sqrt{2} }{ \sqrt{2} * \sqrt{2} } \\ \frac{14 \sqrt{2} }{2} \\ 7 \sqrt{2} [/tex]
[tex] \sqrt{50} \\ \sqrt{25 * 2} \\ \sqrt{25}* \sqrt{2} \\ 5 * \sqrt{2} \\ 5 \sqrt{2} [/tex]
Adding the terms, you have;
[tex]7 \sqrt{2} + 5 \sqrt{2} =(7 + 5) \sqrt{2} = 12 \sqrt{2} [/tex]
Hope it helps!
I'm out!
Answer:
12
Step-by-step explanation:
14/√2 +√50= 14*√2/√2*√2+ √25*2= 7√2+5√2= 12√2
12√2= b√2
b=12
Zia was driving his truck on the superhighway. His speed was recorded by the motorway camera between 6:00 am to 8:30 am. He covered a distance of 250km during this time. Calculate his average speed between this time duration.
Answer:
Average speed = 100 km/h
Step-by-step explanation:
Given:
Total distance covered = 250 km
Total time taken = 8:30 am - 6:00 am = 2:30 hours = 2.5
Find:
Average speed.
Computation:
⇒ Average speed = Total distance covered / Total time taken
⇒ Average speed = 250 / 2.5
⇒ Average speed = 100 km/h
Jayden is running laps at track practice. The track is 25 kilometers around. Jayden runs 1 lap in 2 minutes. How many minutes does it take Jayden to run 1 kilometer?
Answer:
0.08 minutes for a kilometer.
Step-by-step explanation:
If the track is 25 kilometers, and he runs 25 kilometers in 2 minutes, he runs a kilometer in 2÷25 minutes or 0.08 minutes which is 4.8 seconds.
I'm pretty sure the track isn't 25 kilometer or he can't run a lap in 2 minutes. But if so, the answer is 0.08 minutes.
Find the product of (x − 3)2
Answer:
x^2-6x+9
Step-by-step explanation:
(x-3)^2
(x-3)(x-3)
x^2-3x-3x+9
x^2-6x+9
if y= -6 when x= -2 find y when x= 5
Answer:
Y=15 when x=5
Step-by-step explanation:
if y= -6 when x= -2
So y=? When x=5
Y=15
Hope this helps
Good Luck