Answer:
x1= -4/3, x2= 1, x3= 3
Step-by-step explanation:
Answer:
g(x)-10x
Step-by-step explanation:
g(x)=– 2(3x + 4)(x - 1)(x – 3)
Times two by all in parentheses
g(x)=(-6x-8)(-2x+2)(-2x+6)
Add all common denominators
g(x)=-10x+0
Which leaves us with our answer.
g(x)=-10x
If this was helpful please mark brainliest
What is the slope of the line through (-1,8) and (3,-4) ?
Answer:
m = −3
Step-by-step explanation:
Use the slope formula to find the slope m .
We went to the market to buy some fruit. We decided to buy some apples, strawberries, and oranges. If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30. If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90. If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70. Use the Gaussian Elimination Method to solve for the price of each fruit.
Step-by-step explanation:
Let the amount of apples bought be x
Amount of strawberries bought be y and;
amount of oranges bought be z
If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30, then this will be expressed as;
2x+3y+4z = 15.30 ........... 1
If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90, this will be expressed as:
4x+y+2z = 10.90 ......... 2
If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70, this is expressed as:
5x+2y+x = 13.70 .......... 3
Solving the three equations simultaneously:
2x+3y+4z = 15.30 ........... 1
4x+y+2z = 10.90 ......... 2
5x+2y+z = 13.70 .......... 3
Reduce the number of equations
multiply equation 1 by 2 and subtract from equation 2
equation 1 * 2 will give:
4x+6y+8z = 30.6 ........... 4
eqn (4)-eqn(2)
6y-y + 8z-2z = 30.6-10.90
5y+6z = 19.7 ......... 5
Also multiply equation 2 by 5 and eqn 5 by 4 and subtract from each other.
eqn(2)* 5 will give:
20x+5y+10z = 54.5 .......... *
eqn(3) * 4 will give
20x+8y+4z = 54.8.......**
Subtsrct ** from *
8y-3y+(4z-10z)= 54.8-54.5
5y-6z = 0.3 .................. 6
Equate 5 and 6 and solve:
5y+6z = 19.7 ......... 5
5y-6z = 0.3 .................. 6
subtract:
6z+6z = 19.7+0.3
12z = 20
z = 20/12
z = 1.67
Substitute z = 1.67 into eqn 6
5y-6(1.67) = 0.3
5y - 10 = 0.3
5y = 10.3
y = 10.3/5
y = 2.06
Substitute z = 1.67 and y = 2.06 into equation 1
From 1:
2x+3y+4z = 15.30
2x+3(2.06)+4(1.67) = 15.30
2x+6.18+6.68 = 15.30
2x+12.86 = 15.30
2x = 15.30-12.86
2x = 2.44
x = 2.44/2
x = 1.22
Therefore 1 apple costs $1.22, 1 strawberry costs $2.06 and 1 orange costs $1.67
On a certain planet, Continent X has an area of 6.23*10^6 square miles and Continent Y has an area of 63,600,000 square miles. How many times larger is Continent Y than Continent X?
Answer:
Step-by-step explanation:
Continent X =6.23*10^6
Continent Y= 63,600,000
rounded = 60,000,000
Scientific notation = 6*10^7
Now round continent X= 6.23 or 6
Continent X= 6*10^6
6*10^7/ 6*10^6 = 1*10^(7-6)
= 1*10^1
= 1*10
= 10
So your answer would be 10.
I hope that helps
Answer:
Step-by-step explanation:Continent X =6.23*10^6
Continent Y= 63,600,000
rounded = 60,000,000
Scientific notation = 6*10^7
Now round continent X= 6.23 or 6
Continent X= 6*10^6
6*10^7/ 6*10^6 = 1*10^(7-6)
= 1*10^1
= 1*10
= 10
So, your answer would be 10 I would have done it this way too not trying to copy(:
If T is the midpoint of SU what are ST, TU, and SU?
Answer:
x=7, SU=63, TU=63, SU=126
Step-by-step explanation:
The mid point of SU is T meaning, ST=TU
we find value of x as 7.
replace x by 7 and find the value of given lines.
Cameron found a jacket marked 20% off. If the original price is $90, how much is the discount?
Answer:
$18.
On your calculator subtract 20% from 90, which will get you 18. The new price would now be $72.
What is the value of x+yxy when x = -4 and y = 3?
Answer:
12
Step-by-step explanation:
-4+3x(-4)x3
-1x-4x3
4x3
12
plz help ASAP please please
Answer:
9030.75
Step-by-step explanation:
5039.16/.558=9030.752688
round to the nearest hundredth
9030.75
i think
Select the vector along which a translation of the plane would map point A to its image T (A).
Answer:MN
Step-by-step explanation:
I just did it lol
The vector [tex]\vec {MN}[/tex] that would map point A to its image T (A).
What is a vector?A vector is a quantity that possesses magnitude, direction, and adheres to the law of vector addition.
Given:
Two vectors [tex]\vec {PQ}[/tex] and [tex]\vec {MN}[/tex].
To map point A to its image T (A):
The translated map would be,
[tex]\vec {MN}[/tex].
Therefore, [tex]\vec {MN}[/tex] is the vector.
To learn more about the vectors;
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Hailey went to Farmer's Market and bought 134 pounds of coffee at $13.00 per pound and 812 pounds of rice at $0.45 per pound. If Hailey paid for her purchase with a $50.00 bill, how much change did she receive?
A
$22.75
B
$23.42
C
$26.58
D
$76.58
Answer: B
. $23.42 is your answer
Hailey went to Frank’s Market and bought 1 3/4 pounds of coffee at $13 a pound and 8 1/2 pounds of rice at $0.45 per pound. If Hailey paid for her purchase with a $50 bill, how much change did she receive?
Answer:
$23.43
Step-by-step explanation:
First, you need to find the total amount she needs to pay for the items she purchased:
1 3/4=1.75
8 1/2=8.5
Total purchase=(1.75*$13)+(8.5*$0.45)
Total purchase=22.75+3.82
Total purchase=26.57
No, you need to subtract the total amount you have to pay for your purchase from $50:
$50-$26.57=$23.43
According to this, the answer is that she received $23.43 as change.
Answer: B- $23.43
Step-by-step explanation:
First, you need to convert:
1 3/4=1.75
8 1/2=8.5
Total purchase- (1.75 x 13) + (8.5 x 0.45) = 22.75 + 3.82 = 26.57
Now you need to subtract the total amount you have to pay for your purchase from the $50.
50 - 26.57 = 23.43!
x³+y³+z³=k
If u get a right answer its going to be marked brainliest
Answer:
x3+y3+z3
Step-by-step explanation:
hope it helps
The total curvature of the portion of a smooth curve that runs from sequalss 0 to s 1 greater than s 0 can be found by integrating kappa from s 0 to s1. If the curve has some other parameter, say t, then the total curvature is Upper K equals Integral from s 0 to s 1 kappa ds equals Integral from t 0 to t 1 kappa StartFraction ds Over dt EndFraction dt equals Integral from t 0 to t 1 kappa StartAbsoluteValue Bold v EndAbsoluteValue dt , where t0 and t1 correspond to s 0 and s1. a. Find the total curvature of the portion of the helix Bold r (t )equals (3 Bold font size decreased by 1 cos font size decreased by 1 t )Bold i plus (3 Bold font size decreased by 1 sin font size decreased by 1 t )Bold j plus t Bold k, 0 less than or equals t less than or equals 4 pi . b. Find the total curvature of the parabola yequals4 x squared, minusinfinityless thanxless thaninfinity.
Answer:
000
Step-by-step explanation:
3.4 x 10^3 in standard notation
Answer:3400
Step-by-step explanation:
Answer:
3240
Step-by-step explanation:
3.24
×
10
3
=
3.24
×
1000
This means you move the decimal spot 3 digit spaces to the right.
Count 3 spaces:
3.2.4.0 →
3240
So then your number becomes
3240
-2x+5<11
someone help asap
Answer:
x > - 3
Step-by-step explanation:
Given
- 2x + 5 < 11 ( subtract 5 from both sides )
- 2x < 6
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.
x > - 3
set up proportion and solve
Answer:
A.
Step-by-step explanation:
The Answer is A
calcule o perímetro de uma circunferência de raio igual a 15 cm
Resposta:
94,24 cm
Explicação passo-a-passo:
Vamos por partes.
Primeiro descobrimos o diâmetro que é igual a 2 vezes o raio:
D = 2 x raio
D = 30cm
Agora a fórmula da circunferência C = π x D
C = 3,1416 x 30
C = 94,24 cm
espero que esto ayude!
que tengas un gran día!
tener un maravilloso fin de semana!
tener un maravilloso fin de semana! :) :D :3
Isaaq put 2b + 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank and put that amount in the bank. If he now has $477 in the bank, how much did he put in the bank the first week? Please add an numerical explanation
Answer:
The answer is $159
Step-by-step explanation:
2b + 3 - Day 1
4b + 6 - Day 2
6b + 9 - Day 3
477=6b+9
-9 -9
468=6b
78=b
(2x78) + 3 = 159
The answer is $159
idkkk what it is I accidentally pressed a
The inequality will be x ≥ 2.
What is an inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given is an inequality, 4x - 3 ≥ 5,
We need to solve for x,
4x - 3 ≥ 5
Add 3 to both sides,
4x - 3 + 3 ≥ 5 + 3
4x ≥ 8
Divide the inequality by 4,
4x / 4 ≥ 8 / 4
x ≥ 2
Hence the inequality will be x ≥ 2.
Learn more about inequality click;
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Mortar is made by mixing cement, sand and quicklime in the ration 1:2:3
a) work out the volume to make 2.1m cubed of mortar mix
Answer with step-by-step explanation:
If the ratio for the ingredients is 1:2:3, then the total would be 6. If so, we have to divide 2.1 by 6, which is 0.35. Now, you need to multiply 0.35 to the according ingredient amounts.
Cement: 1 x 0.35 = 0.35
Sand: 2 x 0.35 = 0.70
Quicklime: 3 x 0.35 = 1.05
If you add it up, you will get 2.1, which is the volume.
Hope this helped! (brainliest please)
Assume f(x) = 2x + 8 and g(x) = 5. What is the value of (gof)(3)?
O
A. 70
O
B. 15
C. 18
D. 5
Answer:
G of F means G*F which implies 5*2x+8 and given the value of x is 3 5*2(3)+8=70
So A is the correct answer.
Answer:
5
Step-by-step explanation:
The ratio of basketballs to volleyball in the gym is 3 to 5. If there are 60 volleyball in the gym, how many basketballs are there?
What would be the first step you would take in simplifying 6 - 3 + 5 x 2 ?
Answer: multiply 5x2 first
Step-by-step explanation:
Answer:
5 × 2
Step-by-step explanation:
PEMDAS:
P: Parethises
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
Since multiplying is before adding and subtracting you multiply first.
Answer:
5 × 2
Which of the following is true about the function above? - Apex
Answer:
The answer is B, The domain is (-4, infinite) and it's range is (0, infinite)
Step-by-step explanation:
If we graph this equation, we can see that x=-4 is the ascending point on the graph, infinitely continuing upwards, giving us -4, infinite. The range, however is found with infinitely continuing off the graph to the right, making it a positive infinitely for the y value as it is NOT a steady straight line.
please help this is very urgent!!! :((((
Answer:
7
Step-by-step explanation:
x = 2
3x/2+4
3(2)/2 + 4
3+4
7
Point P'(-3, 2) is the image of point P(3, 8) under a translation. What is the image of (0, -6) under the
same translation?
Answer:
The image of the point (0, -6) under the same translation is (-6, -12)
Step-by-step explanation:
Let us revise the rules of translation
If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)∵ The coordinate of point P are (3, 8)
∵ The coordinates of its image P' are (-3, 2)
→ The x-coordinate is changed from 3 to -3, that means the point
translated to the left by h units
∵ h = -3 - 3
∴ h = -6
→ The y-coordinate is changed from 8 to 2, that means the point
translated down by k units
∵ k = 2 - 8
∴ k = -6
→ By using the rule above
∴ The rule of translation is (x, y) → (x - 6, y - 6)
∵ The coordinates of the point are (0, -6)
∴ The coordinates of its image are (0 - 6, -6 - 6)
∴ The coordinates of its image are (-6, -12)
Mr. Jones and Mr. Smith both plan to retire in 5 years. Mr. Jones has invested $250 per
month in a 401k retirement account for 20 years, and Mr. Smith has invested $500 a month
in a 401k retirement account for 10 years. Mr. Jones and Mr. Smith invested in the same
accounts yielding the same interest rate. Which statement about the retirement investments
of Mr. Jones and Mr. Smith is most likely to be true?
Mr.Smith will have more money saved because he invested more money each month.
Mr. Smith and Mr. Jones will have the same amount in their retirement funds.
Mr. Jones will have more money because he invested for a longer period of time.
cannot determine
Answer:
i don't know, i just want to know if you got it right
Step-by-step explanation:
The correct statement (C) "Mr. Jones will have more money because he invested for a longer period of time" is correct.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
It is given that:
Mr. Jones and Mr. Smith both plan to retire in 5 years.
From the formula:
The rate of interest is the same for both cases.
The duration for Mr. Jones is 20 years
The Initial investment amount for Mr. Jones = $250
The duration for Mr. Smith is 10 years
The initial investment amount for Mr. Smith = $500
Mr. Jones will have more money because he invested for a longer period of time.
Thus, the correct statement (C) "Mr. Jones will have more money because he invested for a longer period of time" is correct.
Learn more about compound interest here:
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can someone find the x for -3x + 1 = 169
Answer:
x = -56
Step-by-step explanation:
-3x + 1 = 169
-1 -1
----------------------
-3x = 168
Divide both sides by -3. 168/-3 = -56
x = -56
Answer:
Your answer is: x = -56
Step-by-step explanation:
Hope this helped : )
Line a is perpendicular to line b, and neither line is vertical. Which statement(s) below are TRUE? I: The slopes of line a and line b are the same. II: One line has a positive slope, the other line has a negative slope. III: Line a and line b will never intersect. IV: The slope of one of the lines is undefined.
Answer: One line has a positive slope, and the other has a negative slope.
Step-by-step explanation: When lines are perpendicular, that means their slopes are the exact opposite of each other because they intersect at a right angle.
what is the value of p? 13^2 = p
The product of a number x minus 5 and three less than twice x
Answer:
(x-5)(2x-3)
Step-by-step explanation:
key words:
product = multiplication
minus - subraction
x-5
and = first phrase times next phrase
less than = a number minus the number before the 'less than'
twice = 2 times a number
if we put it together we get x-5 times 2x-3. we put parenthesis because we dont want to multiply only 5 and 2x so our answer is (x-5)(2x-3).
i hope this helped :))
Find the slope of the line through the points (3,2) and (4,5).
Answer:
The answer is 3Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question we have
[tex]m = \frac{5 - 2}{4 - 3} = \frac{3}{1} = 3 \\ [/tex]
We have the final answer as
3Hope this helps you