Answer:
x=1 or x=5
Step-by-step explanation:
x2−6x+5=0
Step 1: Factor left side of equation.
(x−1)(x−5)=0
Step 2: Set factors equal to 0.
x=1 or x=5
Express the following vector in the form v=v1i+v2j+v3k. 3u - v if u=(4,7,-3) and v=(2,-7,5).3u - v = ____ i + ____ j + _____ k.(Simplify your answers.)
Answer:
5i+14j-7kStep-by-step explanation:
Given the vectors u = (4,7,-3) and v=(2,-7,5), both vectors are 3-dimensional in nature and can also be rewritten as;
u = 4i+7j-3k and v = 2i-7j+5k
To get 3u-v, we will substitute the given vectors into the expression;
3u-v = 3(4i+7j-3k) - (2i-7j+5k)
open the parenthesis
3u-v = 12i+21j-9k - 2i + 7j - 5k
collect like terms
3u-v = (12i - 2i) + (21j + 7j) (-9k-5k)
3u - v = 10i+28j-14k
To simplify the answer, we will divide through by 2
3u - v = 10i/2+28j/2-14k/2
3u - v = 5i+14j-7k
Hence the simplified form of the expression is 5i+14j-7k
HELP ME ON THIS QUESTION PLEASE HELP ME I WOULD REALLY APPRECIATE IT THANK YOU
Answer:
I think c=a-7
Step-by-step explanation:
You would the equation a=b+9 to b=a-9. Then you would add 2 to -9 to get -7. So c=a-7.
Of the 10 contestants in a televised quiz competition, 2 were eliminated during this week's show, and 2 more will be eliminated during next week's show
How many groups of 6 remaining contestants are possible a week from now? Assume that the show airs on the same day every week.
28
210
20,160
151,200
Answer:a) 28
Step-by-step explanation:
10-2=8
8 objects currently 6 placements for next week = 28 combinations of people of who could stay or leave
Answer:
A
Step-by-step explanation:
The answer is the first one: 28 :) Have a good day everyone!
1. Which inequality is true?
A.6 π > 18
B.6 π < 18
C.6 π = 18
D.18 > 6 π
Answer:
a
Step-by-step explanation:
a is the answer ..........
If h(x) = 6 - X, what is the value of (hom (10)?
Answer:
16
Step-by-step explanation:
what is the solution to : 3(1/2 m - 3) =45
Answer:
[tex]m=36[/tex]
Step-by-step explanation:
We can solve for this equation by isolating [tex]m[/tex] on one side. To do this, we can "reverse" the equation.
[tex]3(\frac{1}{2}m - 3) = 45[/tex]
Let's divide both sides by 3.
[tex]3(\frac{1}{2}m-3)\div3 = 45\div3\\\\\frac{1}{2}m - 3 = 15[/tex]
Add 3 to both sides:
[tex]\frac{1}{2}m - 3 + 3 = 15 + 3\\\\\frac{1}{2}m = 18[/tex]
Multiply both sides by two (since [tex]\frac{1}{2}\cdot2=1[/tex])
[tex]\frac{1}{2}m \cdot 2 = 18 \cdot 2\\\\m = 36[/tex]
Hope this helped!
Answer:
m = 36
Step-by-step explanation:
Step 1:
3 ( 1/2m -3 ) = 45
Step 2:
3/2m - 9 = 45
Step 3:
3/2m = 54
Step 4:
54 ÷ 3/2
Step 5:
54/1 × 2/3
Answer:
m = 36
Hope This Helps :)
A certain lottery game, 32 numbers are randomly mixed and 7 are selected. A person must pick all 7 numbers to win. Order is not important. What is the probability of winning?
Answer:
Below.
Step-by-step explanation:
The number of combinations of 7 from 32 = 32! / 7! (32-7)!
= 3365856
So it is 1/ 3365856 = 0.000000297
or about 3 in 10,000,000.
Without shipping costs, a helmet costs 28.86. If Jordan paid 38.02 for the helmet, including shipping, how much did the shipping costs?
Answer:
Jordan paid $9.16 for shipping.
Step-by-step explanation:
what is the midpoint of 3,7 and -2,3
Answer:
(1.5) (2.2)
Step-by-step explanation:
SHOULD BE CORRECT
I HAD THAT QUESTION YESTERDAY AND MY TEACHER SAID IT WAS RIGHT ♀️
Answer:
(1/2,5)
Step-by-step explanation:
Midpoint formula is (x1+x2)/2,(y1+y2)/2
(3-2)/2 , (7+3)/2
=(1/2,5)
Might be wrong, though.
Hey can someone help me with this?
Answer:
m∠MON = 24°
Step-by-step explanation:
m∠LOM and m∠MON add up to 90°.
Step 1: Find x
2x + 46 + 3x - 6 = 90
5x + 40 = 90
5x = 50
x = 10
Step 2: Find m∠MON
m∠MON = 3x - 6
m∠MON = 3(10) - 6
m∠MON = 30 - 6
m∠MON = 24°
Evaluate 8 - 12 divided by 2 + 3
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{ - 4}{5} }}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{8 - 12}{2 + 3} }[/tex]
Subtract 12 from 8
[tex] \dashrightarrow{ \sf{ \frac{ - 4}{2 + 3} }}[/tex]
Add the numbers : 2 and 3
[tex] \dashrightarrow{ \sf{ \frac{ - 4}{5} }}[/tex]
Hope I helped!
Best regards! :D
What number comes next 57, 49, 41, 33, 25_
Answer:
18 I guess
Step-by-step explanation:
because we are subtracting all the number by 8
To find the common difference since all the values go done, we can subtract each value.
57 - 49 = 8
49 - 41 = 8
41 - 33 = 8
33 - 25 = 8
The common difference is 8 so to find the next number, all we need to do is subtract the last number by 8.
25 - 8 = 17
Therefore, the answer is 17
Best of Luck!
Consider the positively charged particles seen here. The magnitude of their combined charges is represented by the vector arrow. If one charged particle is removed, what will be the result on the force field and how will it be illustrated? A) remain constant; no change in vector B) decreases by one; arrow length decreases by 1/3 C) decreases by one but arrow length remains constant D) decreases by a factor of 2; arrow changes direction
B)decreases by one; arrow length decreases by 1/3
Answer:
B)decreases by one; arrow length decreases by 1/3
Step-by-step explanation:
Your family is planning a vacation for spring break and want to get the best deal. Option
A costs $479 per night and includes airfare in the cost. Option B costs $129 per night
but will cost your family $1750 in airfare. How many nights will your family have to stay
in order for the vations to cost the same amount of money?
Answer:
Step-by-step explanation:
5 nights
The family have to stay 5 nights in order to cost the same amount of money.
Function in one variable:Let us consider that family is staying for x night.
Given that, Option A costs $479 per night and includes airfare in the cost.
So that, [tex]A(x)=479x[/tex]
Also Option B costs $129 per night but will cost your family $1750 in airfare.
So that, [tex]B(x)=129x+1750[/tex]
for the cost of same amount of money,
[tex]A(x)=B(x)\\\\479x=129x+1750\\\\479x-129x=1750\\\\350x=1750\\\\x=1750/350=5[/tex]
The family have to stay 5 nights in order to cost the same amount of money.
Learn more about the linear function here:
https://brainly.com/question/15602982
Solve the equation. Check for extraneous solutions. |x−2|=6x+8 x=_____ (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
Answer:
x= -0.857143 = -6/7
Step-by-step explanation:
It is recommended that pregnant women over eighteen years old get 85 milligrams of vitamin C each day. A doctor is concerned that her pregnant patients are not getting enough vitamin C. So, she collects data on 45 of her patients and finds that the mean vitamin intake of these 45 patients is 81 milligrams per day with a standard deviation of 12 milligrams per day. Based on a level of significance of α = .02, test the hypothesis.H0 : u = 85H1 : u< 85n = 45sample mean = 81σ = 12z based on α = .02 = -2.05 ( if lessthan -2.05 we will reject the null hypothesis)Sample standard deviation = 12/√45 = 1.789z= x-u/σ(o sample) - 81-85/1.789 = -2.236-2.236is less than -2.05 so wereject the H0 : u = 85
Answer:
|Z| = 2.237 < 2.32 at 0.02 level of significance
Null hypothesis is accepted
Recommended that pregnant women not over eighteen years old get 85 milligrams of vitamin C each day
Step-by-step explanation:
Step(i):-
Given sample size 'n' = 45
Mean of the Population 'μ' = 85
Mean of the sample 'x⁻' = 81
Standard deviation of the sample 'σ' = 12 milligrams
Null Hypothesis: H₀:μ=85
Alternative Hypothesis: H₁:μ≠ 85
Step(ii):-
Test statistic
[tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{81 -85}{\frac{12}{\sqrt{45} } }[/tex]
Z = -2.237
Level of significance = 0.02
Z₀.₀₂ = 2.32
|Z| = 2.237 < 2.32 at 0.02 level of significance
Conclusion:-
Null hypothesis is accepted
Recommended that pregnant women not over eighteen years old get 85 milligrams of vitamin C each day
answer this for 18 points btw theres no fractions decimals just normal find th value of x
Answer:
x = 28°Step-by-step explanation:
From the question the figure above is a triangle.
The sum of angles in a triangle add up to 180°
To find the value of x add up all the angles and equate them to 180 to find the value of x
We have
50 + 2x + 3x - 10 = 180
5x + 40 = 180
5x = 180 - 40
5x = 140
Divide both sides by 5
We have the final answer as
x = 28°Hope this helps you
v+8-6=10
Please help quick
The perimeter of the rectangle is 48 inches. If the width of the rectangle is 11 inches what is the length?
Answer:
The length is 13 inches.
Step-by-step explanation:
ILL GIVE YOU BRAINLIST !!! SHOW WORK
Answer:
The answer is
15Step-by-step explanation:
[tex]w(t) = - 2t + 1[/tex]
To find w(- 7) substitute the value of t that's - 7 into w(t) that's for every t in w(t) replace it with - 7
That's
[tex]w( - 7) = - 2( - 7) + 1 \\ = 14 + 1[/tex]
We have the final answer as
15Hope this helps you
Answer:
w=15
Step-by-step explanation:
w(t)=−2t+1
w(−7)=−2(−7)+1
=14+1
=15
Which property is shown below 7n=22 then n=3
Answer:
Substitution property.
Step-by-step explanation:
You have to substitute n to get the answer therefore, substitution.
1 1/3 divided by 3/5
Answer: [tex]2\frac{2}{9}[/tex]
Convert all Mixed Numbers into an Improper Fraction
Multiply 1×3 and get 3. Now add 3+1 and get 4.
1 1/3 = 4/3
Do Keep Change Flip (KCF)
Keep: 4/3
Change: ÷ into ×
Flip: 3/5 into 5/3
Multiply
[tex]\frac{4}{3}*\frac{5}{3}=\frac{20}{9}[/tex]
Divide
[tex]\frac{20}{9}=2\frac{2}{9}[/tex]
Q: How does 20/9 equal 2 2/9?
A: Divide 9 and 20 and get 2 r2 (r = remainder). The 2 becomes the mixed number. The remainder becomes the numerator. 9 becomes the denominator.
pls help fast !!!!!????
Answer:
[tex]k=-\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]-\frac{1}{2} -\frac{3}{2} = \frac{3}{2} k[/tex]
[tex]-2= \frac{3}{2} k[/tex]
[tex]-\frac{4}{3}[/tex][tex]=k[/tex]
which ordered pair would form a proportional relationship with the point graphed below
A.(-10, 30)
B.(30, -15)
C.(-30, 10)
D.(80, -30)
Answer:
d
Step-by-step explanation:
i took the test
Simplify. 2 x (3-1) + 3
Steps to solve:
2 * (3 - 1) + 3
~Simplify
2 * (2) + 3
~Multiply
4 + 3
~Add
7
Best of Luck!
Find the dimensions of a triangle given the base, height, and area. b=8 inches h=7 inches A=28 square inches
Answer:
Step-by-step explanation:
The area of a triangle of base 8 in, and height 7 in, is
A = (1/2)(base)(height) = (1/2)(8 in)(7 in) = 28 in^2. This matches the given 28th in^2.
4+-6 evaluate dnjdjdjsjsjsnsnnsnssnsnsnsnsnsnsnnsnsn
Adding a negative number is the same as subtracting a positive number.
4 + (-6)
= 4 - 6
= -2
Best of Luck!
According to the US Department of Agriculture, in 2011, the cost of raising a child from birth to eighteen years of age was approximately _____. A.$126,450 B.$54,300 C.$24,630 D.$163,440
Answer:
54,300
Step-by-step explanation:
Answer:
its D
Step-by-step explanation:
Ryan went to the store to buy some apples. The price per pound of the apples is $4.25
per pound and he has a coupon for $2 off the final amount. With the coupon, how
much would Ryan have to pay to buy 5 pounds of apples? Also, write an expression
for the cost to buy p pounds of apples, assuming at least one pound is purchased.
Answer:19.25
4.25p-2
Step-by-step explanation:
What is the domain of the function represented by the graph?
Answer:
im not real sure but i wish i could help
Step-by-step explanation: