Answer:
The value of [tex]x[/tex]:
[tex]x = -2[/tex]
Step-by-step explanation:
Find the value of [tex]x[/tex]:
[tex]-9x + 1 = -x + 17[/tex]
-Add both sides by [tex]x[/tex]:
[tex]-9x + 1 + x = -x + x + 17[/tex]
[tex]-8x + 1 = 17[/tex]
-Subtract both sides by [tex]1[/tex]:
[tex]-8x + 1 - 1 = 17 - 1[/tex]
[tex]-8x = 16[/tex]
Divide both sides by [tex]-8[/tex]:
[tex]\frac{-8x}{-8} = \frac{16}{-8}[/tex]
[tex]x = -2[/tex]
So, the final answer would be [tex]x = -2[/tex] .
Answer:
x=−2
Step-by-step explanation:
−9x+1=−x+17
Add x to both sides.
−9x+1+x=−x+17+x
−8x+1=17
Subtract 1 from both sides.
−8x+1−1=17−1
−8x=16
Divide both sides by -8.
−8x/-8 = 16/-8
Answer:
x=−2
The standard form of the equation of a parabola is y=1/2x^2 - 4x+21. What is the vertex form of the equation?
Answer:
y=1/2*(x-4)^2+13
Step-by-step explanation:
Answer:
y=1/2*(x-4)^2+13
Step-by-step explanation:
Please help! It’s an easy multiple choice question. Question in the photo.
Answer:
Step-by-step explanation:
Just so you know, the answer is NOT B, as one person stated.
In order for a right triangle to be a right triangle, 2 things have to happen. One is that it has a hypotenuse, which by definition, is the longest side in a right triangle. To test to see if that hypotenuse is actually a hypotenuse, the square of it has to be equal to the sum of the squares of the other 2 sides. Let's test a first.
Keeping in mind that the longest side has to be the hypotenuse, in a. our hypotenuse would have to be 17. Using Pythagorean's Theorem to test:
[tex]8^2+15^2=17^2[/tex] and
64 + 225 = 289 and
289 = 289. So a is a right triangle. Now for b:
[tex]20^2+21^2=29^2[/tex] and
400 + 441 = 841 and
841 = 841. So b is also a right triangle. Now for c:
[tex]9^2+16^2=18^2[/tex] and
81 + 256 = 324 and
337 = 324. Obviously, 337 does not equal 324, so c is not a right triangle.
. Obviously, 337 does not equal 324, so c is not a right triangle.
There are two approaches to solving the equation -3x + 10 = 4x - 20
What is the answer? pls help
Subtract 4x from both sides. OR Add 3x to both sides.
–7x + 10 = –20 OR 10 = 7x – 20
Solve the equation using both approaches.
What is the solution?
Answer:
X =30/7
Step-by-step explanation:
The first way would be something like:
-7x + 10 = -20. The first thing we would do is to subtract 10 from both sides.
Therefore,
-7x+10-10=-20-10
Simplified, we get
-7x=-30
Remove the negative symbols
7x =30
x=30/7
Second example:
10=7x - 20
Add 20 to both sides.
10+20=7x-20+20
Simplified,
30=7x
x = 30/7
Answer:
What is the solution?
✔ x = 30/7
Step-by-step explanation:
You can take this equation into two approaches.
#1 subtracting 4x from both sides:
-3x+10=4x-20 (subtract 4x from each side)
-7x+10=-20 (then subtract 10 from each side)
-7x=-30 (then divide by -7 to get x by itself)
x=30/7
#2 Add 3x to both sides:
-3x+10=4x-20 (Add 3x to both sides)
10=7x-20 (then add 20 to each side)
30=7x (divide both sides by 7)
30/7=x
Either way you do it you will get x=30/7 as your answer.
Which statements are true? SELECT ALL THAT APPLY
Answer:
C
Step-by-step explanation:
AC & BC are adjacent sides.
If two sides share a vertex, then they are adjacent sides
Ubstitute the value for the variable, and state in a complete sentence whether the resulting number sentence is true or false. 20 > 86 − ℎ. Substitute 46 for ℎ.
Answer:
The number sentence is false.
Step-by-step explanation:
The inequality given is
20 > 86 − ℎ
We are to substitute the value of h as 46 to see if the inequality is true or false.
20 > 86 - 46
20 > 40
Since 20 is not greater than 40, the number sentence is false.
Which polynomial represents the sum below?
3x2 + 4x +3
3x2 +6x
+
O A. 6x2 + 24x+3
O B. 9x2 + 24x+3
O C. 9x2 + 10x+ 3
O D. 6x2 + 10x+3
Answer:
D
Step-by-step explanation:
what is the angle that has 0 degrees called
Answer:
It is called a zero angle.
A 180 degree angle is called a straight angle.
A ninety degree angle is called a right angle.
I’m crying pls help :(
Choose the definition for the function
Answer:
b.
Step-by-step explanation:
everything under x= 2 is x+1 meaning x<2 and at 2 it starts x+2
Answer:
The correct option is b.
Step-by-step explanation:
x + 1 ...........................x ≤ 5
x+2 .............................x ≥ 2
Which statement describes the relationship between x and y? A. As x increases y decreases B. As x increases y increases C. As x increases y increases and then decreases D. As x increases y decreases and then increases
Its c, as x increases y increases and then decreases
Which graph represents y<-3x?
Step-by-step explanation:
Desmos Graphing Calculator
jenny has 36 cupcakes. how many kids (including jenny) can share these cupcakes evenly?
Answer:
2 people can have 18 cupcakes each
3 people can have 12 cupcakes each
4 people can have 9 cupcakes each
9 people can have 4 cupcakes each
Step-by-step explanation:
Answer: 1,2,3,4,6,9,12,18,36
Step-by-step explanation:
2) solve for h: a = 1/2 bh
(area of triangle)
Answer:
h = 2a/b
Step-by-step explanation:
a = 1/2 bh
2*a = 2* 1/2 bh
2a = bh
2a/b = bh/b
2a/b = h
Factorise 7a^3b^2 - 14a^2b^3
Answer:
[tex]7a^2b^2\left(a-2b\right)[/tex]
Step-by-step explanation:
[tex]7a^3b^2 - 14a^2b^3[/tex]
[tex]7a^2b^2(a)-7a^2b^2(-2b)[/tex]
[tex]=7a^2b^2\left(a-2b\right)[/tex]
the two-way table shows the attendant careers among the incoming class of first-year college students, divided by gender. If a female student is chosen at random, what is the probability that she intends to be a research scientist?
Answer: 4.64%
[tex]\dfrac{\text{female research scientist}}{\text{female total}}=\dfrac{103}{2219}=0.0464\quad =\large\boxed{4.64\%}[/tex]
When cut into 16 equal slices, each slice is 1/16 of the pizza. Express how much of the pizza 8 of these slices would be in decimal form.
Answer:
0.5
Step-by-step explanation:
If one part = 1/17
Then, 8 parts = 1/16 x 8 = 1/2
1/2/as a decimal is 0.5
Hope this helps
The number of newly reported crime cases in a county in New York State is shown in
the accompanying table, where x represents the number of years since 2001, and y
represents number of new cases. Write the linear regression equation that represents
this set of data, rounding all coefficients to the nearest hundredth. Using this
equation, find the projected number of new cases for 2013, rounded to the nearest
whole number.
The required linear regression equation is [tex]y = 21.6x + 1093.2[/tex].
The projected number of new cases for 2013 is 1352.
Given that,
The number of newly reported crime cases in a county in New York State is shown in the accompanying table,
Where x represents the number of years since 2001, and y represents number of new cases.
We have to determine,
The linear regression equation that represents this set of data.
And Using this equation, find the projected number of new cases for 2013.
According to the question,
The line of best-fit is given by:
[tex]y = bx+a[/tex]
Assume [tex]y = kx + b[/tex]
And,
[tex]k = \dfrac{change \ in \ y} {change \ in \x }\\\\k = \dfrac{1194-1086}{5-0}\\\\k = \dfrac{108}{5}\\\\k = 21.6[/tex]
Then, pass from the point (3, 1158),
[tex]y = kx + b \\\\1158 = 21.6 \times 3 + b \\\\1158 = 64.8 +b \\\\b = 1158 - 64.8\\\\b = 1093.2[/tex]
Then ,
The projected number of new cases - the number of years since 2001
[tex]= 2013-2001 \\\\= 12[/tex]
Therefore,
[tex]y = 21.6\times 12 + 1093.2\\\\y = 259.2 + 1093.2 \\\\y = 1352.4\\\\y = 1352 \ approx[/tex]
Hence , The required linear regression equation is [tex]y = 21.6x + 1093.2[/tex].
And The projected number of new cases for 2013 is 1352.
To know about Probability click the link given below.
https://brainly.com/question/20154478
What is the value of
* f(-1) when f(x) = 2x + 2?
The answer is 0.
please see the attached picture for full solution
hope it helps...
Good luck on your assignment
2/3(1+n)=-1/2n solve for n
Answer:
[tex]n = - \frac{21}{12} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer:
-4/7
Step-by-step explanation:
2/3(1+n)= -1/2n ======= × 6 both sides
4(1+n)= -3n
4+4n= -3n
-7n=4
n= -4/7
The scatter plot below shows the relationship between two variables, x and y. Which kind best fits the data?
Answer:
The last one on the bottom right
Step-by-step explanation:
When we are trying to fit a line for a number of points, we can fix this line at several points on the graph. However, out of the several lines that we can fit, only one of these lines would work perfectly and it is called the line of best fit.
The reason why it is called the line of best fit is that it is drawn in a manner in which it leaves equal number of points above it as below it.
Supposed we have 15 points for our graph with the line of the slope passing thorough 5, the line of best fit in this case would leave 5 points above and another 5 below the line.
Leaving 6 and 4 is also manageable, but in case where 3 and 7 are left above and below the line, then it becomes a problem
Thus, out of all the representations we have, the one on the bottom right best works
-In the term, 3x^5 , the number 5 is called ?
Answer:
Step-by-step explanation:
power i guess
Answer:
Exponent, Power or Indices
Step-by-step explanation:
The number is called Exponent, Power or Indices
A punter kicks a football into the air with an initial velocity of 84 feet per second. The equation
[tex] {16}t^{2} + 84[/tex]
gives the height of the ball after t seconds.
What is the maximum height of the football.
Answer:
84feetStep-by-step explanation:
Given the height of the ball modelled by the equation h(t)=16t²+84 after t secs. At the maximum height, the velocity of the ball is zero.
Velocity V is the change of rate of displacement.
V = dh/dt = 32t
0 = 32t
t = 0secs
at t = 0;
h(0) = 16(0)²+84
h(0) = 84feet
This shows that the maximum height of the ball is 84feet
If f(x)=V1/2x-10+3, which inequality can be used to find the domain of f(x)
Answer:
It’s the third option
Step-by-step explanation:
I took the quiz
Can someone please help me with this question?
Answer:
Row related frequencies
twins in family history Twins not in Total
family history
Twins born 8 / 34 = 0.2353 26 / 34= 0.7647 1
single child born :125 / 966 = 0.1294 841 / 966 = 0.8706 1
Step-by-step explanation:
Given table twins in twins not in
family history family history total
Twins born 8 26 34
single child born 125 841 966
Total 133 867 1000
Row related frequencies
Given table twins in family history Twins not in Total
family history
Twins born 8 / 34 = 0.2353 26 / 34= 0.7647 1
single child born 125 / 966 = 0.1294 841 / 966 = 0.8706 1
Total 0.3647 1.6353
HELP!!!! Position and label the triangle on the coordinate plane
Answer:
Option (2).
Step-by-step explanation:
It is given in the question,
ΔLMN is a right triangle with base LM = 3a units
Hypotenuse MN = 5a
By applying Pythagoras theorem in ΔLMN,
MN² = LM² + NM²
(5a)² = (3a)² + MN²
25a² - 9a² = MN²
MN = √16a²
MN = 4a
Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).
Option (2) will be the answer.
9. Determine the equation of a line that passes though the points (3,-4) and (6,2). [
Answer:
y=2x-10
Step-by-step explanation:
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (3,-4), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=3 and y1=-4.
Also, let's call the second point you gave, (6,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=2.
Now, just plug the numbers into the formula for m above, like this:
m=
2 - -4
6 - 3
or...
m=
6
3
or...
m=2
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
F) 77.1%
Thanks if you helped me
Answer: 43.5
Step-by-step explanation:
185/425
divide them, you should get 0.435
move it to the left 2 times and thats your answer
Which BEST describes the shape of the distribution?
A) uniform
B) skewed right
C) skewed left
D) roughly symmetrical
Answer:
skewed left
Step-by-step explanation:
this is because most of the data set is on the right side
Answer:
C
Step-by-step explanation:
The bars are definitely not equal (so a isn't the answer), neither is it symmetrical (so d isn't the answer). Most of the data is on the right, so it's skewed left
Please help! Correct answer only! What is the slope of the line in this graph?
A. 5/9
B. 5/7
C. 7/5
D. 9/7
Answer:
B. 5/7
Step-by-step explanation:
Up the y axis by 5 and over the x axis by 7
1/3 of 6 1/2 multiply 3/4 (56 divide by 7) pls help me
Answer:
1/3 of 13/2 * 3/4(56/7)
= 1/3 of 13/2 * 3/4*8
= 13/6 * 3/4*8
= 13/6 *6
= 13
Hope this helps.
pls help for brainliest answer
Answer:
976 cm²
Step-by-step explanation:
25 x 10 x 2 = 500
14 x 10 = 140
14 x 24 = 336 ((14x24/2)x2)
500 + 140 + 336 = 976