Answer:
-11
Step-by-step explanation:
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
What do I do 900m = 2.700
Step-by-step explanation:
given
900m = 2.700
m = 2.700 / 900
m = 0.003
Hope it will help :)
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
Whoever answers this question first gets brainly 6
Answer:
H is right
Hope this helped!
Answer: the answer is G because the numbers equal up because twice of dram which is 12 will equal horro which is 12
Step-by-step explanation: plz mark brainliest
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! :)
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
10.
An 8-by-10-inch photograph was blown up into a poster. If the longer side of the poster is 55 inches long, how many inches long is the shorter side?
please i need help
Answer:
44
Step-by-step explanation:
is times 5.5
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.
Please show work. Cant even explain how much i hate mathematics
Answer:
there is no attachment
Step-by-step explanation:
2x + y = 5
4x + 2y = 0
Elimination
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
Please help what is number 5 i have done the rest!!!
Answer:
(4²πx2) + (8π x 4) = 201.061... OR 64π
Answer:
Step-by-step explanation:
5) r = 8/2 = 4 cm
Top and bottom = 2*πr²
= 2 * 3.14 * 4 * 4
= 100.48 cm²
Middle part = h * πd
= 4 * 3.14 * 8
= 75.36 cm²
Total = 100.38 + 75.36 = 175 .84 cm²
Find the slope of the line that passes through these two points:
(-12, -1) and (-3,-4)
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
Lilly opens an account with $60. Each week she deposits $12. Write an expression to show the amount she has after w weeks.
Answer:
5 weeks
Step-by-step explanation:
so if Lily has $60 and takes out (subtracts) 12 a week then it would look like this
TOTAL STARTED WITH EACH WEEK
$60 -12 48
$48 - -12 36
$36 -12 24
$24 -12 12
$12 -12 0
SO Lily will have enough money to deposit for 5 weeks
Click and drag like terms onto each other to simplify fully.
-1+4-67-5
Answer:
Step-by-step explanation:
Here are your steps
Step 1
-1+4-67-5 Simplify by Adding
-64-5
Step 2
-64-5 Subtract
Your answer would be -69
7. In the figure below, lines p and q are parallel. The measure of 23 = 126°.
What is the measure of all of the angles shown?
t
Angle 1 = 126
Angle 2 =
4
1
D-
3
Angle 4 =
2
Angle 5 = 126
g
8 5
7
Angle 6 =
6
Angle 7 = 126
Angle 8 =
Answer:
You just subtract 126 degrees from 180 degrees = 34 degrees for all angles
The measures of the angles ∠2,∠4,∠6, and ∠8 are 54°, 54°, 54°, and 54° respectively or all the angles are the same.
It is given that in the figure the line p and line q are parallel to each other.
It is required to find the measures of all angles.
What are vertically opposite angles?It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
We have two lines p and q which are parallel to each other, line t is crossing both lines as shown in the figure.
∠1 = 126° and ∠3 = 126°
For the angles ∠2 and ∠4:
∠2 = 180° - 126° ⇒ 54°
From the definition of the vertically opposite angle:
∠2 =∠4 = 54°
∠5 = 126° and ∠7 = 126°
∠8 = 180 - 126° = 54°
From the definition of the vertically opposite angle:
∠8 = ∠6 = 54°
Thus, the measures of the angles ∠2,∠4,∠6, and ∠8 are 54°, 54°, 54°, and 54° respectively or all the angles are the same.
Learn more about the vertically opposite angles here:
https://brainly.com/question/24287162
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 the figure below, UX and UV are tangent to the circle centered at 0. The segment XV passes through the center of the
circle. Given that UX= 15.7 and XV = 8.5, find XW.
Help
Answer:
2.5
Step-by-step explanation:
The computation of the XW is shown below
As triangle UVX is a right angle
So
VU^2 = XU^2 - VX^2
VU^2 = 15.7^2 - 8.5^2
VU^2 = 246.49 - 72.25
VU^2 = 174.24
VU = 13.2
As VU = WX because of same point tangent
NOw XW is
= UX - UW
= 15.7 - 13.2
= 2.5
is 6 a factor of 32z+8 ?
Answer:
nope, 6 is not a factor of 32z + 8
someone help me pls
HELP ASAPPPPPPPP!!!!
Answer: x8
Step-by-step explanation:
Which polynomials are prime? Check all that apply. 15x ^ 2 + 10x - 9x + 7 20x ^ 2 - 12x + 30x - 18 6x ^ 3 + 14x ^ 2 - 12x - 28 8x ^ 3 + 20x ^ 2 + 3x + 12 11x ^ 4 + 4x ^ 2 - 6x ^ 2 - 16
Answer:
15x2+10x-9x+7
8x3+20x2+3x+12
11x4+4x2-6x2-16
Step-by-step explanation:
The prime polynomials are;
⇒ 15x² + 10x – 9x + 7
⇒ 8x³ + 20x² + 3x + 12
⇒ 11x⁴ + 4x² – 6x² – 16
What is an expression?
Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
There are some polynomials.
Now,
Evaluate all options in order to check that the polynomials are prime or not as;
Since, The polynomial is called a prime polynomial if the polynomial has not lower degree factors.
1). 15x² + 10x – 9x + 7
15x² + 10x – 9x + 7 = 5x(3x + 2) - (9x - 7)
Thus, This polynomial can not be factored into lower degree polynomial. Hence, it is a prime polynomial.
2). 20x² - 12x + 30x - 18
20x² - 12x + 30x - 18 = 4x (5x - 3) + 6 (5x - 3)
= (4x + 6) (5x - 3)
Thus, This polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.
3). 6x³ + 14x² - 12x - 28
6x³ + 14x² - 12x - 28 = 2x² (3x + 7) - 4(3x + 7)
= (2x² - 4) (3x + 7)
Thus, This polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.
4). 8x³ + 20x² + 3x + 12
8x³ + 20x² + 3x + 12 = 4x² (2x + 5) + 3 (x + 4)
= (4x² + 3) (2x + 5)
Thus, This polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
5). 11x⁴ + 4x² – 6x² – 16
11x⁴ + 4x² – 6x² – 16 = x² (11x² + 4) - 2 (x² + 8)
Thus, This polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
Therefore, The prime polynomials are;
⇒ 15x² + 10x – 9x + 7
⇒ 8x³ + 20x² + 3x + 12
⇒ 11x⁴ + 4x² – 6x² – 16
Learn more about the prime polynomial visit:
https://brainly.com/question/26388060
#SPJ6
What is m∠1?..........
the answer is 130
hope that helped
Answer is 130 degrees
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
-240+370=
what is the sum
Answer:
it would be the same as 370-240 which equals 130
Step-by-step explanation:
Answer:
130
Step-by-step explanation:
give me brainliest (aka the crown) :)
Target pays a clothing company $12.00 for each tee shirt it buys. Target then sells each tee shirt to its own customers at a mark up rate of 25%. For how much does target sell each shirt?
Answer:
$15.00
Step-by-step explanation:
Multiply the original cost by 1.25 to represent the mark up rate.
Can somebody help me?
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