When it says the "x - 1 " is the factor of that function means when you find the root of the phrase x - 1 which is x = 1 , put it in the function then you have to get zero for the answer :
thus :
[tex]f(1) = 0[/tex]
Thus :
[tex]2 \times {1}^{3} + k(1) - 9 = 0[/tex]
So :
[tex]2 + k - 9 = 0[/tex]
[tex]k - 7 = 0[/tex]
Add both sides 7
[tex]k - 7 + 7 = 0 + 7[/tex]
[tex]k = 7[/tex]
There you go...
Have a great day ❤
pls help, algebra 1
Answer:
20, 35, 50
Step-by-step explanation:
Kerry scored a total of 205 points last season by making
a total of 120 baskets. Some of the baskets were 1-point
free throws (t), and the rest were 2-point field goals (g).
Which pair of equations models this situation?
A.) t+2g=205
t+g=120
B.)t+g=205
t+2g=120
C.)t+g=205
t+g=120
D.)t+2g=205
t+2g=120
Answer:
a
Step-by-step explanation:
Answer:
A.) t+2g=205
t+g=120
Step-by-step explanation:
We know that Kerry scored 205 points by making 120 basket.
t+g=120 { Because some of the basket were 1-point free
t+2g= 205 ( Throws (t) and the rest were 2-point field goals (g)
Find the perimeter. Simplify your answer.
Answer:
30y+14
Step-by-step explanation:
add the values of all the sides together: (5y+4) + (5y+4) + (10y+3) + (10y+3) = (5y + 5y + 10y + 10y) + (4 + 4 + 3 + 3)= 30y + 14
18= 1.57(multiply sign) X^2.2
please give me steps!!!
Answer: x = 3.030631 approximately
Explanation:
If you want to solve for x, then you could follow these steps:
[tex]18 = 1.57*x^{2.2}\\\\18/1.57 = x^{2.2}\\\\11.464968 \approx x^{2.2}\\\\x^{2.2} \approx 11.464968\\\\x \approx (11.464968)^{\frac{1}{2.2}}\\\\x \approx 3.030631\\\\[/tex]
In the second to last step, we have the value 11.464968 raised to the exponent of 1/(2.2) which is done to undo the exponent of 2.2 in the previous line. The rule used is [tex]a^b = c \to a = c^{1/b}[/tex]
Mackenzie spent $20 at the local farmer’s market. She bought b pounds of blueberries that cost $4 per pound, and r pounds of raspberries that cost $6 per pound. She wrote the equation 4 b + 6 r = 20 to represent the cost of all the fruit. Which is equivalent to Mackenzie’s equation?
b = 5 minus three-halves r
b = 80 minus 240 r
r = StartFraction 10 Over 3 EndFraction + two-thirds b
r = 120 + 240 b
Answer:
the first option; b = 5 minus three-halves r
Step-by-step explanation:
4b+6r=20
4b=20-6r
b=5-3/2r
Answer: A
Step-by-step explanation: This is the answer for edge 2021 im a student
Will give brainiest, need help
Answer:
f(6) = 53
Step-by-step explanation:
f(x) = 10x - 7
We want to find f(6)
To do so simply substitute 6 for x in the equation
Equation: 10x - 7
x = 6
f(6) = 10(6) - 7
multiply 10 and 6
f(6) = 60 - 7
subtract
f(6) = 53
Answer:
[tex]f(x)=53[/tex]
Step-by-step explanation:
For [tex]f(x)=10x-7\\[/tex] substitute x for 6
[tex]10\cdot 6=60\\60-7=53[/tex]
[tex]f(6)=53[/tex]
What is the quotient?
-3/8 divided by -1/4
Answer: D. 1 1/2.
Step-by-step explanation: -3/8÷-1/4 (-3/8)(-4/1) -3/8/-4/1 Cancel out the terms of 8 and -4. 8/4 (-3)(-1)/2 3/2 D. 1 1/2
-4 -12
-2 -6
0 0
2 6
what is the slope?
what is the y-intercept?
proportional or not proportional?
Answer:
Slope(m)=3
Y-intercept= 0
y = 3x +0
Proportional
Step-by-step explanation:
m = -6--12/-2--4
m=6/2
m=3
-12 = 3(-4) + b
-12 = -12 + b
0=b
Answer:
slope, m = 3
y-intercept, b = 0
Proportional
Step-by-step explanation:
If we assume this is a straight line, we can calculate the slope between two of the given points. I'll pick (-2,-6) and 2,6).
Slope is the Rise (the change in y) over the Run (the corresponding change in x).
Rise for these two points: 6 - (-6) = 12
Run for the points is: 2-(-2) = 4
Rise/Run (Slope) = 12/3 = 4
The line becomes y=3x+b
b is the y-intercept. We can either solve for b by entering one of the points, but the y-intercept is the value of y when x=0. Behold: one of the points is (0,0), so we already have b. It is 0.
y=3x+0
y=3x is the equation.
slope, m = 3
y-intercept, b = 0
A non-proportional graph is a straight line that does not go through the origin. A proportional graph is one that does, so this is a proportional graph.
i need this answer answered for me asap
Answer: i think it's A or D
Step-by-step explanation:
Answer:
A) x > -6
Step-by-step explanation:
X is bigger than negative 6 since the arrow of the number line is pointing to the positive numbers then that means x is one of the positive numbers.
(Fill in the blank)
If the triangle is equilateral, find the value of x.
(9x - 3)
x = _#
(numerical response only)
Answer:
x>1/3
Step-by-step explanation:
unless you are missing something else on the question.
equilateral means all sides are the same
so if one side is 9x-3 the other sides should also be 9x-3
9x-3=0
9x=3
x=1/3
PLSSSS WILL MARK BRAINLIEST IF CORRECT
Cody’s favorite snacks are pecans and almonds. At the Nut Haus, pecans sell for $2.00 a pound and almonds sell for $4.50 a pound. Cody wants to buy a mixture of nuts that weighs 6 pounds. He has $15.25 to spend on pecans and almonds.
Part A
Identify the two variables in the problem situation.
Part B
Write a system of two linear equations in two variables that could be used to determine the number of pounds of pecans and almonds Cody could purchase at the Nut Haus.
Answer:
Part A
The two variables are the amount of pounds that we dont know yet for the nuts and the almonds so we would have to put x for the amount of pounds for pecans and y for the amount of pound for nuts
Part B
2x + 4.50y = 15.25
Step-by-step explanation:
Step-by-step explanation:
x = pounds of pecans bought
y = pounds of almonds bought
x + y = 6
x×2 + y×4.5 = 15.25
x = -y + 6
(-y+6)×2 + y×4.5 = 15.25
-2y + 12 + 4.5y = 15.25
2.5y = 3.25
y = 3.25 / 2.5 = 3 1/4 / 2 1/2 = 13/4 / 5/2 = 13×2 / 4×5 =
= 26/20 = 13/10 = 1.3 pounds
x = -y + 6 = -1.3 + 6 = 4.7 pounds
Cody could buy 4.7 pounds of pecans and 1.3 pounds of almonds.
How to find the theoretical mean and standard deviation using central limit therom.
Answer:
I can even see anything can you reupload your answer, please?
Step-by-step explanation:
Tell whether x and y show direct variation x= (y-2)/(9)
PLEASE HELP I"LL MARK BRAINLIEST
EXPLAIN PLS
Answer:
not a direct variation
Step-by-step explanation:
x = (y-2)/9 is also x = y/9 - 2/9
we can convert this into slope-intercept form
y/9 = x + 2/9
y = 9x + 2
this equation is a straight line and is constantly going up BUT the y-intercept is not 0 so it is not a direct variation
the direct variation equation y = kx does not have a b or a y-intercept
Please help me, If you do not know do not answer
Answers:
FunctionFunctionNot a functionNot a function=================================================
Explanation:
Relation 1 is a function because any input item in the domain leads to exactly one and only one output item in the range. If we had say 2 arrows coming from "chair", and pointing to two different outputs, then we wouldn't have a function. It's perfectly possible to use words in place of numbers when talking about functions. All that matters is that we have one input map to exactly one output. Relation 2 is a function for similar reasoning as relation 1. It's possible to have an output repeated and still have a function. Relation 3 is not a function. Why not? Because of the points (j,v) and (j,t). The input j leads to more than output (v and t at the same time). A similar issue happens with the input 's' also.Relation 4 is also not a function. The repeated input this time is -5 which maps to the outputs z and 'a' at the same time.Please solve this, i will mark brainliest
Answer:
[tex]k=-2[/tex]
Step-by-step explanation:
Let's write the left hand side as a negative power, and 9 as a power of 3:
[tex]3^-^k=3^2[/tex] At this point, for the equality to still stand, the exponents have to be equal:
[tex]-k = 2 \rightarrow k=-2[/tex]
Two step equation, I don’t know how to do the problem step by step. 3x+9=5. I know that the answer is -1 1/3 but I don’t know how
Answer:
Below
Step-by-step explanation:
1. 3x+9=5
2. 3x+9-9=5-9
3. 3x=-4
5. 3x/3=-4/3
6. -4/3
7. -1 1/3
Answer:
The answer is -4/3 or - 1 1/3
Step-by-step explanation:
3x+9= 5
-9 -9
3x = -4
/3 /3
Y= -4/3 or [tex]-1\frac{1}{3}[/tex]
Step 1: Add subtract 9 to both sides because you want to cancel out the 9 so you do the opposite of what is say's. For example, if it says 3x-9 add 9 or 3x+9 subtract 9 from both sides.
Step 2: Add subtract 9 to 5 which would be -4. So you should have 3x= -4 now
Step 3: Since you're "multiplying" 3 to x you're going to divide 3 to get Y by itself. So 3/3 cancels out and now you're left with y
Step 4: Divide 3 from -4 and you get -4/3
Let me know if you have any questions and I hope this helps :)
GIVING BRAINLIEST PLEASE HELP
Answer:
S=16×2
S=32
................................
find the value of x and y
Answer:
x = 60
y = 30
Step-by-step explanation:
We know that all triangles' interior angles combined must have a sum of 180.
Since the triangle on the left is a equilateral triangle, we know that each angle is equal to 60.
Since we already know that the sum of the two angles in the top right is 90 (shown by the right angle symbol) and we know that the angle that isn't y is equal to 60, we must do the following step:
90 - 60 = y
90 - 60 = 30
y = 30
Now that we know the value of y, it's time to find the value of x.
We know that y = 30 and that the angle in the bottom right is equal to 90 (shown by right angle symbol).
Since all triangles' interior angles combined must have a sum of 180 and we already know that one angle is equal to 30 and the other is equal to 90, we must do the following:
180 - (90 + y) = x
180 - (90 + 30) = x
180 - 120 = x
180 - 120 = 60
x = 60
This gives us the answers y = 30 and x = 60
The conjugate of (2+i)²/3+i, in the form of a+ib, is
13/2 + i(25/2)
13/10 + i(-15/2)
13/10 +(-9/10)
13/10+(9/10)
Given that
(2+i)²/(3+i)
On multiplying both numerator and the denominator with (3-i) then
⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]
⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]
⇛ [(2+i)²(3-i)]/[(3²-i²)
⇛ [(2+i)²(3-i)]/(9-i²)
⇛ [(2+i)²(3-i)]/[9-(-1)]
Since ,i² = -1
⇛ [(2+i)²(3-i)]/(9+1)
⇛ [(2+i)²(3-i)]/10
⇛ [{2²+i²+2(2)(i)}(3-i)]/10
⇛ (4+i²+4i)(3-i)/10
⇛ (4-1+4i)(3-i)/10
⇛ (3+4i)(3-i)/10
⇛ (9-3i+12i-4i²)/10
⇛ (9+9i-4(-1))/10
Since, i² = -1
⇛(9+9i+4)/10
⇛(13+9i)/10
⇛ (13/10)+ i (9/10)
We know that
The conjugate of a+ib is a-ib
So,
The conjugate of (13/10)+ i (9/10) is
(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)
Answer:-The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)
Additional comment:
The conjugate of a+ib is a-ib and i = -1(a+b)² = a²+2ab+b² • (a+b)(a-b)=a²-b² •(a-b)²=a²-2ab+b².Factorize the following Equation and show your work
x^{2} - 10x +25
Answer:
(x-5)(x-5)
Step-by-step explanation:
x^2 factors into two binomials, the square root of 25 is 5 (-5*-5=25), -5+-5=-10, think of the big and the little equal the middle to help deal with these types of problems. hope I have helped.
Write the equation of line with slope of -3, passing through (-1,7) . write in slope -intercept form.
Hello there, hope you are having a nice day.
We are given the slope of the line and a point on the line, so we can write the equation in point-slope form:
y-7=-3(x-(-1)
y-7=-3(x+1)
y-7=-3x-3
Now, we move -7 to the right side, using the opposite operation:
y=-3x-3+7
y=-3x+4
This is the equation of our line. Hope it helps.
Ask me if you have any queries.
~An emotional teen who helps others with joy
Good luck.
plz help me plz plz plz
plz
Answer: 549
Step-by-step explanation:
5p + 3 = 15
please convert this into a WORD PROBLEM
Answer:
What is the value of p if 5p+3=15
Answer:
When the product of 5 number and a number is added to 3 result is 15. Find the number.
use the long division method to divide 120÷24
Step-by-step explanation:
120÷24
0 24⟌120
0 24⟌120 0
0 24⟌120 -0 1
00 24⟌120 -0 12
0 24⟌120 -0 12
00 24⟌120 -0 12 - 0 12
00 24⟌120 -0 12 - 0 120
[tex]\sf 6-2x+5+4x[/tex]
Last one! bye!
Thanks!
[tex]\sf 6-2x+5+4x[/tex]
[tex]\sf \longmapsto - 2x + 4x + 6 + 5[/tex]
[tex]\sf \longmapsto - 2x + 4x + 11[/tex]
[tex]\sf \longmapsto2x + 11[/tex]
i'll mark brainiest if right answer
Answer: x=2 y=18
Step-by-step explanation
x - 7 < -20 inequalify
ps. also tell me is it's closed or open ⭕ (I tried to get a picture and it wasn't working)
Step-by-step explanation:
x - 7 < -20
x < -20 + 7
x < -13
X = (-12, -11, -10,...)
[tex] \sf \longmapsto{x}−7<−20[/tex]
Let's start.
Add [tex]\text7[/tex]to both sides[tex] \sf \longmapsto \: x−7+7<−20+7[/tex]
Answer[tex] \sf \longmapsto \: x<−13[/tex]
hello guys I need help, the things in parenthesis is just me talking) Your friend writes 0.86 as a percent. 0.86 = 00.86=0.0086% 86 Is your friend correct? (picked no) Explain your reason ( I don't know how to explain it)
Answer:
0.86 as a percent is 86%.
Step-by-step explanation:
Have a great rest of your day
#Nova
P.S
give the braineist to the other person pls
Whoever answers first gets brainliest, 5 stars, and a thanks! Pls help asap!
Answer:
a. In the first step: Nick is supposed to subtract 1 1/2 instead of adding it
b. He should subtract 1 1/2 instead
c. 3 3/22
Step-by-step explanation:
Work for c.
4 7/11 - 1 1/2
4 14/22 - 1 11/22
3 3/22
-Chetan K
Answer:
3 3/22
Step-by-step explanation:
a) he subtracted 5 from a mixed fraction without converting it first
and for 1 1/2 - sign should be there
b) first convert mixed fraction and add the terms in the parentheses
c) 9 7/11 - (5 + 1 1/2)
= (9*11 + 7) / 11 - ( 5 + (1*2 + 1)/2 )
= 106/11 - (5 + 3/2)
= 106/11 - (5*2 + 3)/2
= 106/11 - 13/2
= lcm of 2 and 11 is 22
= (106*2 - 13*11) / 22
= (212 - 143) / 22
= 69/22
= 66 + 3 / 22
= 3 3/22
Write the equation of a line that is parallel to the line y=−4x+1 and goes through the point (2,0).
Answer:
y=-4x+8
Step-by-step explanation:
Hi there!
We are given the line y=-4x+1, and we want to write the equation of the line that is parallel to that line and that also passes through the point (2, 0)
Parallel lines have the same slope, so it makes sense to find the slope of the line y=-4x+1
The line is written in the format y=mx+b, where m is the slope and b is the y intercept.
As -4 is in the place of where m should be, the slope of the line is -4.
It's also the slope of the line parallel to it.
We can write the slope of the new line in slope-intercept form as well; this is the line so far, after substituting -4 as m:
y=-4x+b
Now we need to find b, which is the value of the y intercept
Remember that are given the point (2,0), which we can use to help solve for b; substitute 2 as x and 0 as y.
0=-4(2)+b
Multiply
0=-8+b
Add 8 to both sides
8=b
Substitute 8 as b into the equation:
y=-4x+8
Hope this helps!