Answer:3x^2-5x+2=0
Step-by-step explanation:
Format of a quadratic equation= ax^2 +bx+c
Let x=1 and 2/3
When x=1
x-1=0.......(1)
When x=2/3
x-2/3=0.........(2)
Compare the equations
(x-1)(x-2/3)=0
x^2-2/3x-x+2/3=0
x^2-5/3x+2/3=0
Multiply all terms by 3
3x^2-5x+2=0
someone please help
Answer:
See explanation for answers
Step-by-step explanation:
prism = 12*4 + 5*4 + 12*4 + 5*4 + 12*5 + 12*5 = 256 ft²
lateral surface area of pyramid = 4*1/2*5*5 = 50 ft²
area of square base of the pyramid = 5*5 = 25 ft²
total exposed surface area of the figure = 256 + 50 - 25 = 281 ft²
Which is a stretch of an exponential decay function?
f(x) = Four-fifths (five-fourths) Superscript x
f(x) = Four-fifths (four-fifths) Superscript x
f(x) = Five-fourths (four-fifths) Superscript x
f(x) = Five-fourths (five-fourths) Superscript x
Answer:
C
Step-by-step explanation:
The function [tex]f(x) = \frac{5}{4} (\frac{4}{5}) ^{x}[/tex] represents the stretch of an exponential decay function.
What is exponential decay function?The process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula [tex]y = a(1-b)^{x}[/tex]
where,
y is the final amount,
a is the original amount,
(1 -b) is the decay factor,
and x is the amount of time that has passed.
For a exponential decay function (1-b) is always less than 1. If (1-b) < 1 it represents the exponential growth function.
And if a < 1, then it represents vertical compression and if a > 1, then it represents vertical stretch.
According to given question.
We have some functions in which we have to find the which one represents the decay function.
According to the function
[tex]f(x) = \frac{4}{5}(\frac{5}{4} )^{x} }[/tex]
For the decay function, the decay factor will always less than 1. In the above function the decay factor [tex]\frac{5}{4}[/tex] i.e. 1.25 is greater than 1.
Therefore, the above function doesn't represent decay function.
[tex]f(x) = \frac{4}{5}( \frac{4}{5} )^{x}[/tex]
Here, a < 1 i.e. [tex]\frac{4}{5}[/tex] is less than 1 so the given function is not a stretch of an exponential decay function.
[tex]f(x) = \frac{5}{4} (\frac{4}{5}) ^{x}[/tex]
Here, b < 1 so it represents the exponential decay function. Also a > 1.
Therefore, the given function is the stretch of an exponential decay function.
[tex]f(x) = \frac{5}{4} (\frac{5}{4}) ^{x}[/tex]
Here, a > 1 but b > 1. Therefore, the above function doesn't represent the exponential decay function. It represents the exponential growth function.
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The bar graph shows the results of rolling a number cube (die) 50times. What is the experimental probability of rolling each of the number on the number cube?
Column A Column B
1. a. 18%
2. b. 8%
3. c. 22%
4. d. 16%
5. e. 20%
6.
c. 22%
Step-by-step explanation:
sorry for no explanation
If a quadrilateral has 3 angles measure 60,45 and 100; find the measure of the fourth angle
Answer:
The fourth angle is 155
Step-by-step explanation:
The sum of the angles of a quadrilateral are 360 degrees
60 + 45 + 100 + x = 360
Combine like terms
205+x = 360
Subtract 205 from each side
205+x-205 = 360-205
x =155
Answer:
155
Step-by-step explanation:
A rope is cut so that one piece is three times the length
of the other. Each rope is then used to enclose an area
in the shape of an equilateral triangle. If the area
enclosed by the shorter rope is 1,000 m2, what is the
area enclosed by the longer rope?
Answer:
9,000 m2
Step-by-step explanation:
If the longer rope has three times the length of the shorter rope, the perimeter and the sides of the triangle formed by the longer rope are three times the perimeter and sides of the triangle formed by the smaller rope.
The area of an equilateral triangle is:
[tex]Area = \frac{side^{2} * \sqrt{3}}{4}[/tex]
So, if the side is three times bigger, the area will be 9 times bigger (3^2).
The area of the small triangle is 1000 m2, so the area of the bigger triangle is 9 * 1,000 = 9,000 m2
identify the domain and range of y = 4x - 5 + 3
Answer:
[tex]\huge\boxed{\text{Domain:}\ D=\mathbb{R}=(-\infty;\ \infty)}\\\boxed{\text{Range:}\ R=\mathbb{R}=(-\infty;\ \infty)}[/tex]
Step-by-step explanation:
y = 4x - 5 + 3 = 4x - 2
It's an equation of a line in the slope-intercept form.
y = 4x - 2 → f(x) = 4x - 2 - it's a lienar function.
The domain of a linear function is the set of all real numbers.
If a slope of linear function is different than 0, then the range is the set of all real numbers.
Answer: negative infinity to infinity and 3 to infinity
Step-by-step explanation:
edge 2023
(3×2^2)^9÷(3^3×2)^5
Answer:
exact form
8192/729
decimal
11.237
Step-by-step explanation:
cancel common factors
If you add the digits in a two-digit number and multiply the sum by 7, you get the original number. If you reverse the digits in the two-digit
number, the new number is 18 more than the sum of its two digits. What is the original number?
O A 42
B. 24
C. 64
D.46
E.36
Answer: A - 42
Step-by-step explanation:
Let x= ones digit, y=tens digit
1st (original number) :
7(x+y)=10y + x
2nd (new number by reversing the digits): 18+x+y=10x+y
simplifying:
1st condition: 6x=3y
2nd condition: x=2
substituting x=2 to 6x=3y
y=4
Answer:
The answer is 42 but let me tell you this question made my brain cell work an all nighter from how bad I am at riddles LOL
Step-by-step explanation:
what is the sum of (-2.1×+3.7) and (5 + 4.9×)
2.8x+8.7
Step-by-step explanation:
-2.1x+3.7+5+4.9x
=2.8x+8.7
Jenna is buying 6 new shirts at $18 each. Which of the following is NOT a way to write a calculation for how much money Jenna is spending? pls can someone help me
The calculation 18/6=108 is not the right representation.
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here: One of the option as 18/6=108
But in the question Jenna buys 6 new shirts at $18
Thus the total cost of the shirts is 18*6=108
But 18/6=3
Thus this expression is not the right calculation.
Hence, The 18/6=108 is not the right representation.
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Simplify this equation. 4m(2mn - 8m) +3n (5n-6mn)Please help me and show working as well
Answer:8m^2n - 32m^2 + 15n^2 - 18mn^2
Step-by-step explanation:
4m x 2mn = 8m^2n
4m x -8m = -32m^2
3n x 5n = 15n^2
3n x -6mn = -18 mn^2
when you add them all together,
8m^2n - 32m^2 + 15n^2 - 18mn^2
i know it's a dumb question but please just answer it.
What is 2 x 1/6 =?
Answer:
answer is 0.33333333
Step-by-step explanation:
Answer:
0.33333333333
Step-by-step explanation:
My calculator gave me 1/3 but the real answer is 0.333 etc
different calculators give you different answers
Are the ratios 5:15 and 1:3 equivalent
Answer:
Yes, both are one third of the other number
Step-by-step explanation:
Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number.
// have a great day //
if a=10, What is a/ 2 plus 9
Answer:
a=14
Step-by-step explanation:
if a=10, 10/2 = 5 plus 9 = 14
Answer:
The anwer is 14
Step-by-step 1explanation:
10/2= 5 and 5 plus 9 is 14
Please helpppppp, I’m tryna passss :(
Answer:
y = x + 1
Step-by-step explanation:
I've already explained the process to you, but:
Slope intercept form is y = mx + b
When we count rise over run, we get 1/1, or just 1.
y = x + b (you don't have to write 1x)
The line intersects the y-axis at 1
y = x + 1
Please let me know if you don't understand
The slope of AB is -2/5. Segments CD has endpoints at C(-5,3) and D(10,-3). Are AB and CD parallel, perpendicular or neither? Justify.
Answer:
AB and CD are parallel
Step-by-step explanation:
AB has the slope of -2/5
lets see what slope the line CD has:
points are (-5, 3) and (10, -3)slope= m= (y2-y1)/(x2-x1)= (-3-3)/(10+5)= -6/15= -2/5as we see AB and CD have same slope, therefore they are parallel
Susan Marciano invested part of her 28,000 bonus in a fund that paid a 10% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was 2,410
Answer:
amount invested in funds that earned 10% is $25,000, while the amount invested in stock that suffered 3% loss $3,000.
Step-by-step explanation:
Let x be the amount invested in funds that earned 10%.
Then the amount invested in stock that suffered 3% loss is 28,000 - x.
The profit from investment in funds is 10%x
The loss from investment in stock is 3%(28,000 - x).
The net profit is 10%x - 3%(28,000 - x).
As the net profit given in the problem is $2410, we have:
10%x - 3%(28,000 - x) = 2410
Solving for x, we have:
10x - 3(28,000 - x) = 241000 (multiply both sides by 100)
10x - 84000 + 3x = 241000
13x = 241000+84000
13x = 325000
x = 325000/13
x = 25,000
So
the amount invested in funds that earned 10% is $25,000.
the amount invested in stock that suffered 3% loss is 28,000 - x = 28000 - 25000 = $3,000.
What is the value of K?
O k = 28
Ok= 29
Ok= 31
Ok = 42
Answer:
k = 29
Step-by-step explanation:
The sum of the two angles is 180 since they form a straight line
5k-3 + 9+k = 180
Combine like terms
6k +6 = 180
Subtract 6 from each side
6k = 174
Divide each side by 6
6k/6 = 174/6
k =29
Answer:
k=29
Step-by-step explanation:
39an angle measures 76° less than the measure of a complementary angle. what is the measure of each angle?
Answer:
14 ° and 76 °
Step-by-step explanation:
We have that two angles are complementary, if the sum of their amplitudes is 90 °.
The complementary angles need not be consecutive or have any point in common.
Alpha and Beta are complementary if:
Alpha + Beta = 90 °
In this case it would be:
X - 76 ° = 90 °
X = 90 ° - 76 °
X = 14 °
Which means that each angle measures 14 ° and 76 °
For lunch, Jack ate 1/4 of a pizza, which was twice as much as John ate. If Timmy ate 1/6 of a pizza more than the amount that Jack and John ate combined, then what fraction of a pizza did Timmy eat?
Answer:
Timmy ate 13/24 of the pizza.
Step-by-step explanation:
To solve this problem, first you need to know how much pizza Jack and John ate. We know that Jack ate 1/4 of the pizza, and that John ate half of that, so we know that John ate 1/8 of the pizza. Together, Jack and John ate (1/4 + 1/8), which equals 3/8 of a pizza. Next, we need to find how much of the pizza Timmy ate. We know that he has eaten 1/6 more of the pizza than Jack and John combined, so that would be 1/6 more than 3/8. To add 1/6 to 3/8, we need to have a common denominator. The lowest common denominator would be 24, so you would have 4/24 + 9/24. That equals 13/24, so we know that Timmy ate 13/24 of the pizza.
Angle of a sum of 90 degrees
Answer:
Angles that sum up to 90° are called complementary angles. For example if there are two angles with measures 40° and 50° they are know to be complementary cuz they sum up to 90.
All the very best for your math exam by the way :)
F
D
80°
E
B
160
G
NOTE: Angles not necessarily drawn to scale.
2=
PLEASE HELPPP!!!
Answer:
[tex] \boxed{x\degree = 80\degree} [/tex]
Step-by-step explanation:
Vertically opposite angles are equal.
[tex] = > x \degree + 80\degree = 160\degree \\ \\ = > x\degree = 160\degree - 80\degree \\ \\ = > x\degree = 80\degree[/tex]
Answer:
80°
Step-by-step explanation:
Look at the picture* *
Please help! Correct answer only!
There is a raffle with 200 tickets. One ticket will win a $430 prize, four tickets will win a $80 prize, six tickets will win a $40 prize, and the other tickets will win nothing. If you have a ticket, what is the expected payoff?
$___
Answer:
$ 30.25
Step-by-step explanation:
Consider adding these winning values, in addition to the number of tickets for each as well;
[tex]Total Money That Could Be Won - 430 + 80 + 40 = 550 Dollars,\\Number of Tickets Corresponding To Money Won - 1 + 4 + 6 = 11 Tickets,\\\\Total Tickets - 200 Tickets,\\\\Probability Of Winning - 11 / 200 = 0.055,\\Proportionality - 0.055 = x / 550,\\\\0.055 = x / 550,\\x = 0.055 * 550,\\x = 30.25 Dollars\\\\Conclusion ; x = 30.25[/tex]
Solution ; " Expected Payoff " = 30.25 Dollars
I need help with this :(
Answer:
1. 4 2. 4 3. 5 4.1
Step-by-step explanation:
first box is 4 second box is 4 third is 5 fourth is 1.
You're welcome.
7. 5x -6 = 3x + 14
8. 6x - 11 = 4x + 3
More and last question. Thanks YISREAL and HARRIETH!!!!!. More points for you people.
Answer:
Q1. x = 10
Q2. x = 7
Step-by-step explanation:
The steps are :
Q1.
[tex]5x - 6 = 3x + 14[/tex]
[tex]5x - 3x = 14 + 6[/tex]
[tex]2x = 20[/tex]
[tex]x = 20 \div 2[/tex]
[tex]x = 10[/tex]
Q2.
[tex]6x - 11 = 4x + 3[/tex]
[tex]6x - 4x = 3 + 11[/tex]
[tex]2x = 14[/tex]
[tex]x = 14 \div 2[/tex]
[tex]x = 7[/tex]
Answer:
[tex]x=10, \: x=7[/tex]
Step-by-step explanation:
[tex]5x -6 = 3x + 14[/tex]
[tex]5x -6+6-3x = 3x + 14+6-3x[/tex]
[tex]5x -3x = 14+6[/tex]
[tex]2x=20[/tex]
[tex]x=\frac{20}{2}[/tex]
[tex]x=10[/tex]
[tex]6x - 11 = 4x + 3[/tex]
[tex]6x - 11+11-4x = 4x + 3+11-4x[/tex]
[tex]6x-4x = 3+11[/tex]
[tex]2x=14[/tex]
[tex]x=\frac{14}{2}[/tex]
[tex]x=7[/tex]
3x+4+3=40 i need help very fast
Answer:
x = 11
Step-by-step explanation:
Answer:
x = 11
Step-by-step explanation:
3x11 = 33
4+3 = 7
33 + 7 = 40
A rectangular prism with length and, width w, and height hhh has a volume of, w, h. What is the volume of a prism which has a base of 5\text{ m}5 m5, start text, space, m, end text by 3\text{ m}3 m3, start text, space, m, end text, and a height of 4\text{ m}4 m4, start text, space, m, end text
Answer:
60 m³
Step-by-step explanation:
A rectangular prism also called a cuboid is a shape that have six faces that are rectangles. The volume of a rectangular prism is the product of its length, width and height, i.e volume = length (l) × breadth (b) × height (h).
Given a prism with a base of length (l) = 5 m by width (w) = 3 m and a height (h) = 4 m.
Volume= l × b × h
Volume = 5 m × 4 m × 3 m = 60 m³
Answer:
60m3
Step-by-step explanation:
You are participating in a walk-a-thon. Donors can pledge a certain amount of money
for each mile that you walk, or a fixed amount that doesn't depend on how far you walk, or both
The table gives the amounts pledged by three donors.
a. Write an equation for each donor in the boxes below.
Donor
Amount
Fixed Amount
Per Mile
Equation
Jenna
None
$35
Camille
$5
None
Leila
$3
$15
b. You end up walking 18 miles.
Which donor donated the greatest amount of money and how much was it?
Give me the answers to thissss plssss rnnnn asapppp!!!!
[tex]\\ 1. (3x ^{2} + 2xy + 7) - (6x ^{2} - 4xy + 3) \\ = 3x ^{2} + 2xy + 7 - 6x ^{2} + 4xy - 3 \\ = 3x ^{2} - {6x}^{2} + 2xy + 4xy + 7 - 3 \\ = { - 3x}^{2} + 6xy + 4 \\ 2. \: {9x}^{2} - 2x + 3 - ( {4x}^{2} + 7x - 5) \\ = 9x ^{2} - 2x + 3 - 4x ^{2} - 7x + 5 \\ = {9x}^{2} - {4x}^{2} - 2x - 7x + 3 + 5 \\ = {5x}^{2} - 9x + 8 \\ 3. \: {x}^{2} - 5x + 6 \\ = {x}^{2} - (3 + 2)x + 6 \\ = {x}^{2} - 3x - 2x + 6 \\ = x(x - 3) - 2(x - 3) \\ = (x - 3)(x - 2) \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Answer with step by step explanation
[tex](1)(3 {x}^{2} + 2xy + 7) - (6 {x}^{2} - 4xy + 3) \\ 3 {x}^{2} + 2xy + 7 - 6 {x}^{2} + 4xy - 3 \\ = - 3 {x}^{2} + 6xy + 4[/tex]
[tex](2)9 {x}^{2} - 2x + 3 - (4 {x}^{2} + 7x - 5) \\ 9 {x}^{2} - 2x + 3 - 4 {x}^{2} - 7x + 5 \\ = 5 {x}^{2} - 9x + 8[/tex]
[tex](3) {x}^{2} - 5x + 6 \\ {x}^{2} - 3x - 2x + 6 \\ x(x - 3) - 2(x - 3) \\ (x - 2)(x - 3)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Add 7m/16+(-m/16) . Reduce, if possible.
Plzz answer quickly
Answer:
6m/16 = 3m/8
Step-by-step explanation:
since the fractions have the same denominator, just take out the operation on the numerators of the 2 fractions. So, 7m +(-m).
7m +(-M) is the same as 7m - m, so that is 6,
when you put it back together, you get 6m/16, simplify it to 3m/8