Answer:
[tex]g(x) = (x-6)(2x-1)[/tex]
Step-by-step explanation:
[tex]g(x)[/tex] intercepts the x-axis at these 2 points:
[tex](6,0) ;(1/2,0)[/tex]
⇒ 6 and 1/2 are roots ie; if you insert [tex]x=6[/tex] or [tex]x=1/2[/tex] into the equation of g(x) you will obtain a 0.
[tex]g(6) = g(1/2) = 0[/tex]
now in order for 0 to appear we should have [tex]x-6[/tex]
now in order for 0 to appear we should have [tex]x-1/2[/tex]
but [tex]x-1/2[/tex] doesn't appear in any of these, but its multiple of 2 is there:
[tex]2(x-1/2) = 2x-1[/tex]
Therefore the function;
[tex]g(x) = (x-6)(2x-1)[/tex]
Answer:
b
Step-by-step explanation:
Solve for x in the diagram below.
Answer:
x= 20
Step-by-step explanation:
The three angles add to 90 degrees
x+2x+x+10 = 90
Combine like terms
4x+10 = 90
Subtract 10 from each side
4x +10-10 = 90-10
4x = 80
Divide by 4
4x/4 = 80/4
x = 20
Answer:
x = 20
Step-by-step explanation:
The three angles are complementary to each other.
That means they add up to 90 degrees.
x + 2x + (x + 10) = 90
Combine like terms.
4x + 10 = 90
Subtract 10 on both sides.
4x = 80
Divide both sides by 4.
x = 20
what is 149 scaled down by a factor of 1/10
Answer:
14.9
Step-by-step explanation:
Given
149
Required
Scale factor of ⅒
The result of a scale factor is the product of an expression by its scale factor.
The result of 149 scale factor of 10 is the product of 149 by 10
In other words;
149 * ⅒
= (149 * 1)/10
= (149)/10
Remove bracket
= 149/10
= 14.9
Hence, 149 scaled down by a factor of ⅒ is 14.9
Write an equation that expresses the relationship. Then solve the equation for u. B varies directly as the cube of t and inversely as u
Answer:
Below
Step-by-step explanation:
B varies directly with the cube of t so:
● B = t^3
B varies inversly as u
● B = 1/u
Let's solve the equation for u:
B= 1/u = t^3
● B= 1/u
Switch u and B
● u = 1/B = 1/t^3
If u is 1 then b and t are also 1.
Select the correct answer. The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate area of the cross section passing through the diagonals of opposite faces of this cube? A. 12 square centimeters B. 25 square centimeters C. 35 square centimeters D. 49 square centimeters
Answer: C. 35 square centimeters
Think of cutting a cube along the opposite diagonals (the diagonals on the opposite faces). The resulting area that is inside is the cross sectional area. It is a rectangle with sides of 5 and 7. The 7 is approximate as it is the length of the diagonal. So we have 5*7 = 35 as the approximate cross sectional area.
Answer:
correct answer is 49
Step-by-step explanation:
i used the formula for surface area
SA=2B+LA(surface area=2*the base+ lateral area)
What is the difference between a Rate and a Ratio? Explain *
Answer:
Step-by-step explanation:
A ratio is a comparison of two numbers. A ratio can be written using a colon, 8:12 , or as a fraction 8/12 . A rate is a comparison of two quantities which can have different units. For example 8 miles per 4 hours is a rate.
Answer the following questions: 2/3 is what percent of 1/6 ? 0.2 is what percent of 1 3/5 ?
Answer:
a. 4 %b. 0.125%Step-by-step explanation:
Let the missing percent be 'x'
[tex] x \: \times \: \frac{1}{6} = \frac{2}{3} [/tex]
Use the commutative property to reorder the terms
[tex] \frac{1}{6} x = \frac{2}{3} [/tex]
Multiply both sides of the equation by 6
[tex] \frac{1}{6} x \times 6 = \frac{2}{3} \times 6[/tex]
Calculate
[tex]x = 4 \:[/tex] %
b. [tex]x \: \times 1 \frac{3}{5} = 0.2[/tex]
Convert the mixed number into improper fraction
[tex]x \times \frac{8}{5} = 0.2[/tex]
Use the commutative property to reorder the terms
[tex] \frac{8}{5} x = 0.2[/tex]
Multiply both sides of the equation by [tex] \frac{5}{8} [/tex]
[tex] \frac{8}{5} x \times \frac{5}{8} = 0.2 \times \frac{5}{8} [/tex]
Calculate
[tex]x = 0.125 \: [/tex] %
Hope this helps..
Best regards!!
Answer:
1) 2/3 is 400% of 1/6
2) 0.2 is 12.5% of 1 3/5
Step-by-step explanation:
1) First, let's switch these two fractions to a low common denominator. I used sixths, and got 4/6 and 1/6. then, noticing that 4/6 is 4x bigger than 1/6, and 100% means all of the 1/6, and 4/6 is 4x that, 4x 100% is 400%, that's the answer ;-)
2) First, let's convert these both to fractions, 1/5 and 1 3/5, which converts to 8/5. 8/5 is 8x as much as 1/5, which means that it is 12.5%
hope this helps and gives a clear answer!
Can anyone help with this thanks guys!
Answer:
450m squared
Step-by-step explanation:
bc my last answer was wrong (:
Answer:
450 m²
Step-by-step explanation:
The formula for area of a rectangle is A = lw. You are given the length (30 m) and the width (15 m). Plug in the numbers and solve for A.
A = lw
A = (30 m)(15 m)
A = 450 m²
The area of the rectangle is 450 m².
helppppp idk how to do that?
Let f(x) = 5x + 4 and g(x) = −2x + 1. Find the indicated value f(-2) plz respond quickly
Answer:
f(-2) = -6
Step-by-step explanation:
f(x) = 5x + 4
Let x=-2
f(-2) = 5*-2 +4
= -10+4
= -6
Answer:
[tex]\boxed{f(-2) = -6}[/tex]
Step-by-step explanation:
[tex]f(x) = 5x-4[/tex]
Put x = -2
[tex]f(-2) = 5(-2)+4\\f(-2) = -10+4\\f(-2) = -6[/tex]
Please Answer ASAP: As storm clouds gathered, the temperature fell 4 degrees in 3/4 of an hour. At what rate was the temperature falling? Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Answer:
[tex]5 \frac{1}{3}[/tex] degrees per hour.
Step-by-step explanation:
If we know that the temperature fell 4 degrees in [tex]\frac{3}{4}[/tex] of an hour, we can set up a proportion to see how much fell in an hour.
[tex]\frac{4}{0.75} = \frac{x}{1}[/tex]
[tex]4 \cdot 1 = 4\\4 \div 0.75 = 5.\overline{33}[/tex]
[tex]5.\overline{33}[/tex] as a fraction is [tex]5 \frac{1}{3}[/tex].
So, the temperature fell at a rate of [tex]5 \frac{1}{3}[/tex] degrees per hour.
Hope this helped!
Answer:
5 1/3
Step-by-step explanation:
2/3% as a fraction pls i need to know thx
Answer:
Hey there!
2/3% is basically 2/3's of 1 percent.
Thus, as a fraction we get 2/300.
Hope this helps :)
Answer:
1/150
Step-by-step explanation:
2/3%
We know that 1% = 1/100
2/3% = (2/3)/100
2/3% = 2/(3 × 100)
2/3% = 2/300
2/3% = 1/150
(08.01 MC)
A cone has a volume of 24 cubic inches. What is the volume of a cyinder that the cone fits exactly inside of? (1 point)
Select one:
b. 24 in
c. 48 in
d. 72 in
Answer:
d. 72 in³
Step-by-step explanation:
To find the volume of a cylinder that a cone of volume 24 cubic inches fits in exactly inside of, we will follow the steps below:
From the question volume of the cone = 24 cubic inches
volume of a cone = [tex]\frac{1}{3}[/tex] πr²h
and volume of a cylinder = πr²h
This implies
volume of a cone = [tex]\frac{1}{3}[/tex] πr²h
= [tex]\frac{1}{3}[/tex] (volume of a cylinder)
volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
24 = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
multiply both-side of the equation by 3
24×3 = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
72 =volume of a cylinder
Therefore volume of the cylinder that the cone fits exactly inside of is 72 cubic inches
Algebra 1
a car can travel 78 miles on 13 gallons of gasoline. How much gasoline will it need to go 150 miles
a. 13
b. 78
c. 50
d. 25
Answer:
D
Step-by-step explanation:
First we need to find out how many miles we can travel using 1 gallon of gasoline. We can easily find that by dividing 78/13 which equals 6. Now we just need to multiply all of the given answers by 6. To be reasonable, since we already know 13*6=78, we should look at the next smallest number and go up from there.
The next smallest number given is 25. 25*6=150.
Hope this helps!! <3 :)
calculate the radius and diameter of the circle
Answer:
radius is 12, diameter is 24
Step-by-step explanation:
it is a 15-12-9 triangle
At the age of 8, Roger received an inheritance of $5,000. His father invested the money in an account bearing 6% annual interest. How long will it take for this inheritance to double in value? Round your answer to 2 decimal places.
Answer:
16.66 years
Step-by-step explanation:
100(the percentage that it needs to increase) divided by 6 (the percentage of intrest) You could do 1.0/0.06 but i find it eaiser to do it this way
It will take 33.33 years to double his money.
We have roger who inherited $5000 from his father who invested the money in an account bearing 6% annual interest.
We have to find out how long it would take for this inheritance to double in value.
What is the formula to calculate the Simple Interest on the given amount of principal money ?The formula to calculate the Simple Interest on a given amount of principal money (x) at the rate of (r%) for a given amount of time (t) is -
[tex]SI =\frac{x \times r \times t}{100}[/tex]
In the question given : Simple Interest = 2 x Principal = 2[tex]x[/tex]
Hence, the equation becomes -
[tex]2x =\frac{x\times r\times t}{100} \\\\t = \frac{200}{r} \\\\t = \frac{200}{6} \\[/tex]
t = 33.33 years
Hence, it will take 33.33 years to double his money.
To solve more questions on Simple Interest, visit the link below -
https://brainly.com/question/24116913
#SPJ2
What is the domain of the function?
o all real numbers x
o all positive real numbers x
o all negative real numbers x
o all real numbers x, except x=o
Answer:
The correct answer is all real numbers x, except x=o.
Step-by-step explanation:
To calculate the domain, we will "remove" from the equation those values that make it impossible to perform any mathematical operation.
In a rational function the denominator must be different from zero, since we need a set of values that do not cancel the denominator.
That is why the domain can include any real number, except 0. Remember that real numbers are any number that corresponds to a point on the real line and can be classified into natural, integers, rational and irrational numbers. In other words, any real number is between minus infinity and infinity and we can represent it on the real line.
Answer:
D. all real numbers x, except x=0
Step-by-step explanation:
edge 2020
Circle O is shown. 2 tangents intersect at a point outside of the circle which is labeled Satellite. The angle formed is 20 degrees and the measure of the first arc formed is x. One tangent intersects the circle at a point labeled Earth. A satellite views the Earth at an angle of 20°. What is the arc measure, x, that the satellite can see? 40° 80° 160° 320°
Answer:
The arc measure, x, that the satellite can see is 160°
Step-by-step explanation:
Given that the two tangents intersect at a point outside the with circle center O
The angle formed between between the two tangent = 20°
The first arc formed is measured as x°, which is the arc opposite the point where the two tangents meet = The arc the satellite can see
The angle x is given by the relationship;
x = 2 × (90 - v/2)
Where;
v = The angle formed at the point where the two tangent meet = 20°
Therefore;
x = 2 × (90 - 20/2) = 2 × (90 - 10) = 2 × 80 = 160°
The arc measure, x, that the satellite can see = 160°.
Answer:
160
Step-by-step explanation:
edge
Adam and three friends go on holiday together for a week.
The costs of the holiday will be shared equally between the 4 friends.
These are:
• £1460 for 4 return plane tickets
• £720 for the accommodation
• £180 for the car hire for a week
How much does Adam have to pay for his share of the costs?
Answer:
590
Step-by-step explanation:
1,460+720+180=2,360
2,360/4=590
HOPE THIS HELPS!!!! :)
Simplify the expression 5/9 + (-4/5)
Answer:
-11/45
Step-by-step explanation:
5/9 + (-4/5) =
= 5/9 * 5/5 - 4/5 * 9/9
= 25/45 - 36/45
= -11/45
please help with this too
Answer:
Step-by-step explanation:
Garden roller is in the shape of cylinder.
So, one revolution = Curved surface area of the cylinder
diameter = 70 cm
radius = 70/2 = 35 cm
h = 100 cm
Curved surface area of the cylinder = 2πrh
= [tex]2*\frac{22}{7}*35*100[/tex]
= 22000 square cm
Area covered in 15 revolutions = 15 * 22000
= 330000 square cm
2) Coin
diameter = 22 mm
r = 22/2 = 11 mm
Volume of coin = 66 mm
πr²h = 66
[tex]\frac{22}{7}*11*11*h=66\\\\\\h=\frac{66*7}{11*11*22}\\h=0.17 mm[/tex]
1) x2 + 5x + 6
2) x2 + 9x + 20
3) x2 - x+6
4) x2 + 3x - 2
5) x2 – 36
6) 9x? - 25
7) x + x - 42
8) x2 + 7x-12
Please help, I’m struggling
Answer:
Step-by-step explanation:
x2+12w
Which word phrase could represent the algebraic expression 2p + 3 where p represents Sam's age?
Answer:
1. 3 + 4x
2. 8/ x-y
3. X/2y
4. Four times a number m
5 let m represent months
30 + 12m
4) Kevin and his team do not know what direction Mike went when he left the trail. This means that they will have
to search a circular area based on how fast Mike walks. He has been missing for 12 hours and his estimated
speed is 4 km per hour. Determine the surface area of the circle to be searched.
Answer:
Step-by-step explanation:
Distance traveled by Mike in 12 hours = 4 * 12 = 48 km
This will become the radius of the circle
r = 48 km
Area of the circle to be searched = πr²
= 3.14 * 48 * 48
= 7234.56 square km
What is the value of 5 to the power of 4 over 5 to the power of 6? 1 over 25 1 over 5 5 25
Answer:
1/25
Step-by-step explanation:
[tex]\frac{5^{4} }{5^{6} } =\frac{1}{5^{2} } =\frac{1}{25}[/tex]
(30 POINTS) Which graph best represents the function f(x) = (x − 1)(x + 3)(x − 3)?
Answer:
C
Step-by-step explanation:
f(x) = (x − 1)(x + 3)(x − 3)
This functions has 3 zeros as 1 ,-3, and 3
Lets evaluate the function at 0
f(0) = (0 − 1)(0 + 3)(0 − 3) = -1 * 3 * -3 = 9
f(2) = (2 − 1)(2 + 3)(2 − 3) = 1 * 5 * -1 = -5
1. A man decided to buy new furniture from Futuristie Purniture for $2600, Futuriste Vurniture
gave the man two choices pay the entire amount in one payment with cash, or pay $1000 as a dews
payment and 1120 per month for two full years in the finanong plan. If the man chooses the
financing plan, how much more would he payl
Answer:
Also, there seem to be many typos in this question, I am trying my best to decipher them all :) next time maybe double check the wording thx!
Step-by-step explanation:
the question doesn't make sense because if you were to pay $1120 per month, for 2 years, you would go over the amount that you bought. I also am not sure what a dews payment is. Try wording it differently/check you spelling.
What is the mean absolute deviation of the data set {30,33,36,34,52}?
Answer:
6
Step-by-step explanation:
I took the test and got 100%
I hope i helped and that i get brainliest :P
Answer:
Step-by-step explanation:
1)To find the mean absolute deviation of the data, start by finding the mean of the data set.
2)Find the sum of the data values, and divide the sum by the number of data values.
3)Find the absolute value of the difference between each data value and the mean: |data value – mean|.
4)Find the sum of the absolute values of the differences.
5)Divide the sum of the absolute values of the differences by the number of data values.
Help me out :O What is the volume of three cubes, each with a side length of fraction 1 over 3 foot? V = s3, where s is the side length.
Answer:
Step-by-step explanation:
[tex]s = \frac{1}{3}ft\\[/tex]
Volume of a cube = s³ ft³
Volume of 3 cubes = 3 * s³
[tex]= 3 * \frac{1}{3} * \frac{1}{3} *\frac{1}{3}\\\\= \frac{1}{3} *\frac{1}{3}\\\\=\frac{1}{3*3}\\\\=\frac{1}{9} ft^{3}[/tex]
A bag has 7 red balls and 9 green balls. What is the probability that two balls picked randomly are both the same color?
Answer:
25%
Step-by-step explanation:
this isnt right
Answer:
25%
Step-by-step explanation:
solve for x plz: |5x|=3
Answer:
x = 3/5 or x = -3/5
Step-by-step explanation:
| 5x | = 3
Solve for absolute value.
There are two possibilities.
First possibility:
5x = 3
x = 3/5
Second possibility:
5x = -3
x = -3/5
Answer:
x= 3by 5
or 3/5
i tried my best
stay at home stay safe
and
kepp rocking