[tex]\frac{2y-1}{15} =\frac{y}{10}[/tex]
Answer:
y = 2
Step-by-step explanation:
Given
[tex]\frac{2y-1}{15}[/tex] = [tex]\frac{y}{10}[/tex] ( cross- multiply )
10(2y - 1) = 15y ← distribute left side
20y - 10 = 15y ( subtract 15y from both sides )
5y - 10 = 0 ( add 10 to both sides )
5y = 10 ( divide both sides by 5 )
y = 2
50 POINTS
Solve the system of equations using the system of elimination
2x-7y=-13
8x-7y=11
Answer:
-24
Step-by-step explanation:
A pattern maker earns $25 per hour. She has monthly business expenses of $300. Her profit is the difference between
her monthly earnings and her monthly business expenses. How many hours will the pattern maker have to work in a month to make a profit
of at least $2,000?
оооо
a) 92
b) 100
c) 108
d) 121
Answer:
i think the answer is a.92 hope this helps
What are the zeros of the function below? Check all that apply.
F(X) =(x + 3)(x - 1)/(x-2)(x + 2)
A. 2
B. -2
C. 3
D. -3
E. 1
F. -5
Answer:
-3 and 1
Step-by-step explanation:
The zeros of the given function are -3 and 1.
What are zeros of a function?The zeros of a function, also referred to as roots or x-intercepts, are the x-values at which the value of the function is 0 (f (x) = 0). The zeros of a function can be thought of as the input values that result in an output of 0.
Given is a function f(x) = (x + 3)(x - 1)/(x-2)(x + 2),
We need to find the zeros of the function,
Equate to 0,
(x + 3)(x - 1)/(x-2)(x + 2) = 0
Therefore,
(x + 3)(x - 1) = 0
x+3 = 0 and x-1 = 0
Therefore,
x = -3, x = 1
Hence, the zeros of the given function are -3 and 1.
Learn more about zeros of the function, click;
https://brainly.com/question/16633170
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Evaluate: 4!
Make sure to show your steps.
Answer:
4! = 4 x 3 x 2 x 1
4! = 12 x 2 x 1
4! = 24 x 1
4! = 24
Let me know if this helps!
Answer:
1024
Step-by-step explanation:
4! is just 4 x 4 x 4 x 4
4 x4 =16
16 x 4 =64
64 x 4=256
256 x 4=1024
alex practice playing the piano for two and a half hours each wee if alex practice for a total of 35 hours how long did he practice
Answer:
what is a wee?
Step-by-step explanation:
PLEASE HELP!!!!
Seventy-five students say that they
routinely read books. Fifty-two students like
to read non-fiction books. Twenty-eight
students like to read mystery books. How
many students read both non-fiction and
mystery books?
Answer:
80 students
Step-by-step explanation:
52 + 28 = 80
Answer:
5
Step-by-step explanation:
52 + 28= 80
80-75=5
A bag contains 37 coins consisting of only dimes and quarters.The total amount of money in the bag is $6.85. How many dimes are in the bag ??
Answer:
16 dimes
Step-by-step explanation:
D=number of dimes
Q=number of quarters
D+Q=37
.25 xQ + .10 x D=6.85
sub Q from first equation
.25(37-D) + .10 x D=6.85
D(.10-.25) + .25 x 37 =6.85
-.15D + 9.25=6.85
D= (6.85-9.25)/(-.15)
D=16
a customer left a tip of 25$ this is 20% of his bill. whats the price of the bill?
Answer:
i think 150
Step-by-step explanation:
Answer: $30.00
Step-by-step explanation:
First, convert the 20% to an actual number that can be used in a calculation. For percents, this is always done by simply dividing the percent (in this case 20%) by 100%.So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.
0.20 x $25.00=$5.00.
$25.00 + $5.00 = $30.00.
How many triangles can be constructed with angles measuring 50°, 90°, and 40°?
one
more than one
none
Will mark correct answer as brainliest.
(Posted 2/11/21)
Answer:
it would made one triangle
Step-by-step explanation:
it adds up to 180
- 4y = - 40
please show work if you can
A line passes through the point A (-2,-5) and has a slope of -9. Using the point-Slope formula, express the equation of the line in slope intercept form.
Answer:
y = -9x -23
Step-by-step explanation:
Point-slope formula gives you
y -(-5) = -9(x - (-2))
y + 5 = -9(x + 2)
y + 5 = -9x - 18
y = -9x -23
If you left $25.00 on your table for a $21.50 meal, what was the percent of the tip?
Answer: 3.5% with a 3.50 Tip
Reason: 25.00 - 21.50 = 3.50
In a bag of sweets, 6 are orange and 9 are lime. Jodi chooses a sweet at random, eats it an
then chooses a second sweet at random.
What is the probability that both sweets are the same flavour?
(3 Points)
Answer:[tex]\frac{17}{35}[/tex]
Step-by-step explanation:
Given
The bag contains 6 orange and 9 lime sweets
For both sweets of the same flavor, Jodi must either choose orange or lime
No. of ways it can be done is [tex]^6C_1\times^5C_1+^9C_1\times^8C_1[/tex]
The total no of ways of selecting two sweets out of 15 is [tex]^{15}C_1\times^{14}C_1[/tex]
The probability that both sweets are the same flavor
[tex]P=\dfrac{^6C_1\times^5C_1+^9C_1\times^8C_1}{^{15}C_1\times^{14}C_1}=\frac{102}{210}=\frac{51}{105}=\frac{17}{35}[/tex]
HURRY: 20 POINTS TO THE WINNER
Answer:
1 gallon
Step-by-step explanation:
7/8 + 3/8 + 4/8 = 1 6/8
3/8 + 1/8 + 2/8 = 6/8
1 6/8 - 6/8 = 1
Answer:
Chocolate Sauce: 4/8
Strawberry Sauce: 2/8
Caramel Sauce: 2/8
Chocolate Sauce
Monday, the shop had 7/8, the shop used 3/8 on Tuesday. So we subtract the numerators but the denominator stays the same.
7 - 3 = 4
So it is 4/8
Same thing for Strawberry and Caramel Sauce.
So we add the totals we got from subtracting Monday amount of toppings with Tuesday's amount of toppings.
4/8 + 2/8 + 2/8 =
1 gallon**I hope this helped! :)
HELP ASAPPPPPPPP!!!!
Answer: x8
Step-by-step explanation:
I need help with my math assignment
Answer:
Step-by-step explanation:
Slope m is defined as m=(y2-y1)/(x2-x1) in this case
m=(218-155)/(22-15)=63/7=9
y=mx+b
y=9x+b, using point (15,155) we can solve for the y intercept b
155=9(15)+b
155=135+b, b=20 so the line is
y=9x+20
In thirty days there will be
y=9(30)+20=290 coins
9. A garden has two circles. 1 big circle with sunflowers. 1 smaller circle with a radius of 6yd. Distance between the outside of the smaller circle to the end
of the bigger circle is 3yd. Find the area of the sunflower part of the garden.
Answer:
the answer would be 25
Step-by-step explanation:
since if you add all the following numbers up you make 11 and to taht you double the answer and that would give you 22 and then you add the remaining IP to make 25b
HELLPP ASAP THERES A TIMER
Find the slope of the line that passes through these two points:
(-12, -1) and (-3,-4)
writing polynomial functions write the equation of the polynomial function given the following zeros x= 5 , -2 , -1
Answer:
Step-by-step explanation:1) Find the domain of the given function. f(x) = square root of quantity x plus three divided by quantity x plus eight times quantity x minus two.
using a graphical tool see the attachment
the answer is C) x ≥ -3, x ≠ 2
2. Identify intervals on which the function is increasing, decreasing, or constant.
g(x) = 2 - (x - 7)2
using a graphical tool
see the attachment
the answer is C) Increasing: x < 7; decreasing: x > 7
3. Perform the requested operation or operations.
f(x) = 4x + 7, g(x) = 3x2
Find (f + g)(x).
(f + g)(x) = f(x) + g(x)
(f + g)(x) = 4x + 7 + 3x^2
(f + g)(x) = 3x^2 + 4x + 7
The answer is C) 4x + 7 + 3x2
4. Perform the requested operation or operations.
f(x) = x minus five divided by eight. ; g(x) = 8x + 5, find g(f(x)).
f(x)=(x-5)/8 g(x)=8x+5
g(f(x))=8((x-5)/8)+5=x-5+5=x
the answer is B) g(f(x)) = x
5. Find f(x) and g(x) so that the function can be described as y = f(g(x)).y = nine divided by square root of quantity five x plus five.
y=f(g(x))=9/((5x+5) ^1/2)
let do
g(x)=5x+5...........so
f(x)= 9/( x^1/2)
the answer is A) f(x) = nine divided by square root of x. , g(x) = 5x + 5
6. A satellite camera takes a rectangular-shaped picture. The smallest region that can be photographed is a 4-km by 4-km rectangle. As the camera zooms out, the length l and width w of the rectangle increase at a rate of 3 km/sec. How long does it take for the area A to be at least 4 times its original size?
Original size- >4km*4km=16 km2
4 times its original size---------------4*(16km2)-----64 Km2----------- > 8 km by 8 Km
Therefore
3km----------------------------- 1 sec
(8km-4km)---------------------x
X=4/3=1.33 sec
The answer is D) 1.33 sec
7. Find the inverse of the function.
f(x) = the cube root of quantity x divided by seven. - 9
to solve, replace f(x) with y , switch x and y, solve for y and replace y with f⁻¹(x)
f(x)=((x/7)-9) ^(1/3)
replace f(x) with y
y=((x/7)-9) ^(1/3)
switch x and y
x=((y/7)-9) ^(1/3)
solve for y
x^3=((y/7)-9)
x^3+9=y/7
y=7(x^3+9)
the answer is C) f-1(x) = 7(x3 + 9)
8. Describe how the graph of y= x2 can be transformed to the graph of the given equation.y = (x - 14)2 – 9
using a graphical tool see the attachment the answer is C) Shift the graph of y = x2 right 14 units and then down 9 units
9. Describe how to transform the graph of f into the graph of g. f(x) = alt='square root of quantity x minus nine.' and g(x) = alt='square root of quantity x plus five. '
f(x)=(x-9) ^1/2 g(x)=(x+5) ^1/2
using a graphical tool see the attachment
the answer is C) Shift the graph of f left 14 units
10. If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.
f(x) = -16x5 - 7x4 – 6
The answer is B) Degree: 5; leading coefficient: -16
11. Write the quadratic function in vertex form.y = x2 + 4x + 7
Complete the square on the right side of the equation
Use the form ax2+bx+cax2+bx+c, to find the values of a, b, and c.
a=1,b=4,c=7
Consider the vertex form of a parabola.
a(x+d)2+e
Find the value of dd using the formula d=b/2a
d=4/(2*1)=2
Find the value of e using the formula e=c−b2/4a
e=7−4=3
Substitute the values of a, d, and e into the vertex form a(x+d)2+e
(x+2)2+3
The answer is A) y = (x + 2)2+ 3
12. Find the zeros of the function.
f(x) = 3x3 - 12x2 - 15x
using a graphical tool (see the attachment)x1=-1
x2=0
x3=5
The answer is C) 0, -1, and 5
13. Find a cubic function with the given zeros.7, -3, 2
X1=7
X2=-3
X3=2
f(x)=(x-7)(x+3)(x-2)=(x2-4x-21)(x-2)=x3-6x2-13x+42
the answer is C) f(x) = x3 - 6x2 - 13x + 42
14. Find the remainder when f(x) is divided by (x - k).f(x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3
f(x)=7(3)4+12(3)3+6(3)2-5(3)+16=946
The answer is the B) 946
15. Use the Rational Zeros Theorem to write a list of all potential rational zerosf(x) = x3 - 10x2 + 4x - 24
The constant term of () is -24
The leading coefficient is 1.
We have to only consider the factors of the constant (leading coefficient = 1)
The factors are 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24
The answer is A) ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24
Angad was thinking of a number. Angad divides by 4, then adds 3 to get an answer of 7. What was the original number?
Answer:
mh, 7
Step-by-step explanation:
What is the exact value of sine of 8 pie/3
Answer:
0.1456858
Step-by-step explanation:
Hope it help
Answer:
−1/2
Explanation:
cos(8π/3)
=cos(8π/3 − 2π)
=cos(2π/3) = − cos (π/3) = −1/2
A bag contains 21 red marbles, 24 green marbles, and 21 blue marbles. You choose a marble at random
from the bag. What color marble will you most likely choose?
Given:
A bag contains 21 red marbles, 24 green marbles, and 21 blue marbles.
To find:
What color marble will you most likely choose if you choose a marble at random from the bag.
Solution:
We have,
Number of red marbles = 21
Number of green marbles = 24
Number of blue marbles = 21
Total number of marbles = 21+24+21
= 66
Now,
[tex]P(Red)=\dfrac{21}{66}[/tex]
[tex]P(Green)=\dfrac{24}{66}[/tex]
[tex]P(Blue)=\dfrac{21}{66}[/tex]
The number of green marbles is largest. So, the probability of getting a green marble is largest.
Therefore, you will most likely choose green marble.
2/x+2-1/x=-4/x(x+2)
how do I find the perimeter of a triangle
Answer:
Step-by-step explanation:
Add up all three side lengths
Answer:
Add up all the side lengths (3) of the triangle.
Step-by-step explanation:
15j + 12k = 18
5j + 4k = 6
27 = 54
value that would make it true
Answer:
2
Step-by-step explanation:
27 = 54,
let's say the value that will make it true is x
So then,
27 * x = 54. If we divide both sides by 27, we have
x = 54 / 27
x = 2
The value that will make it true is multiplying 27 by 2
A shirt originally cost $38.48, but it is on sale for $26.94. What is the percentage decrease of the price of the shirt? If necessary
round to the nearest percent.
A. 70%
B. 24%
C. 43%
D. 30%
Answer:
30(D)
Step-by-step explanation:
38.48-26.94=11.54
11.54÷38.48×100
≈30
Please help me! (Tangent Ratios) (30 points)
Answer:
Step-by-step explanation:
A = 48/20
B = 20/48