Answer:
a=7
Step by step Explanation:
Step 1: Simplify both sides of the equation.
1.3(a+2)+5.6=17.3
(1.3)(a)+(1.3)(2)+5.6=17.3(Distribute)
1.3a+2.6+5.6=17.3
(1.3a)+(2.6+5.6)=17.3(Combine Like Terms)
1.3a+8.2=17.3
1.3a+8.2=17.3
Step 2: Subtract 8.2 from both sides.
1.3a+8.2−8.2=17.3−8.2
1.3a=9.1
Step 3: Divide both sides by 1.3.
1.3a 9.1
1.3 = 1.3
a = 7
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:
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
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
Sarah bought a new T-shirt for $40. The sale tax is 4%. How much was the tax?
Answer:
The tax is $1.60 bringing her total to $41.60
Answer: im getting free points dont get mad at me this person already answered so take full credit for him
Step-by-step explanation:
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;
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HELLPP ASAP THERES A TIMER
What equation is equivalent to 2(3-y)
A. 2y - 6
B. 6 - 2y
C. 6 + y
D. 6 + 2y
Answer:
The answer is C.6+y
............
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
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! :)
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:
Solve the following system of equations.
2x + 5y = -18 and y = -4x
Answer:
x=1 and y= -4
Step-by-step explanation:
step one: plug -4x into y in thi]e first equation.
2x+5(-4)= -18
step two: solve for x
2x-20= -18
(add 20 to both sides to eliminate -20 on the right)
2x=2
(divide both sides by 2 to get x by its self)
x=1
step 3: now that we found the value for x plug it in to either equation and solve for y
y= -4x
y= -4(1)
y= -4
Please help me! (Tangent Ratios) (30 points)
Answer:
Step-by-step explanation:
A = 48/20
B = 20/48
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
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.
can you help me with my homework
ුැේෞඈචොමටඉපගපයිිඅඅේෛෛඑටමවවඈ
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]
two boats take off in the same direction boat a is going 36 mph and left the dock at around 6 mph ahead pf boat b, boat b travels at 44 mph if the boats take off at the same time how long will it take for boat b to meet up with boat a and how far will boat b have traveled when it is in the same location as boat a
Answer:
33 miles
Step-by-step explanation:
[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
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
Find the slope of the line that passes through these two points:
(-12, -1) and (-3,-4)
Solve for y: -4(y - 3) = 5(2y - 6)
Answer:
y=3
Step-by-step explanation:
Use symbolab.
Answer:(−4y+12)−{10y−30}=0
4
y
12
10
y
30
0
−14y+42=0
14
y
42
0
(−14)⋅y+(42)=0
14
y
42
0
y=−(42)−14
y
42
14
y=−(14)⋅(3)(14)⋅(−1)=3
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
1. g(x) = f(x) - 7
how do u solve these?
Answer:
g' (×)=f
Step-by-step explanation:
g (×)=f×-7
g' (×)= d÷d× (f×-7)
d÷d×(f+g)=d÷d×(f)+d÷d=(g)
g' (×)=d÷d×(f×)-d÷d×(7)
g'(×)=f-d÷d×(7)
g'(×)=f-0
g'(×)=f
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
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 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.
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
HELP ASAPPPPPPPP!!!!
Answer: x8
Step-by-step explanation: