Answer:
y = -4
Step-by-step explanation:
We can solve for x to see.
x(y+4) +5y +20 = 1
x(y +4) = -19 -5y . . . . . subtract 5y+20
x = (-19 -5y)/(y +4)
x is undefined (no solution) for y = -4.
Answer:
y = -4
Step-by-step explanation:
If we look at xy + 5y, we see that both terms share a factor of y. This gives us
y(x + 5) + 4x + 20 = 1
Similarly, 4x and 20 share a factor of 4, giving us
y(x + 5) + 4(x + 5) = 1
Now we see that these two terms share a factor of x + 5, so factoring gives us
(y + 4)(x + 5) = 1
Dividing both sides by y+4 gives us
x + 5 = 1/(y + 4)
Finally, we subtract both sides by 5 to get
x = 1/(y + 4) - 5
Thus, since we can not have a 0 in the denominator, we see that if y = -4 then x will have no solution. For any other value of y, we can find the solution for x using this equation.
Question
Daniel is planning a 6-night road trip. It will cost $310 for transportation, $275 for food, and $70 per night for a hotel room.
He has $745 in savings and can earn $20 per hour tutoring. How many hours must he tutor to have enough money to pay
for the trip?
Answer:
13 hours
Step-by-step explanation:
Given that Daniel will incur the following costs:
Transportation : $310
Food : $275
Hotel : $70 per night for 6 nights = $70 x 6 = $420
his total cost = $ (310 + 275 + 420) = $1005
it is given that he has $745 in savings: If he uses all his savings, it will reduce his total cost balance to $1005 - $745 = $260
hence he needs to make up the remaining $260 by tutoring for $20 per hour
number of hours to make up the $260
= $260 ÷ $20/hr
= 13 hours
Evaluate v(x) = 14 – 3x when x = -3,0, and 4.
Answer: 23 , 14 , 2
Step-by-step explanation:
V(-3)=14-3(-3)
=14+9
=23
V(0)=14-3(0)
=14-0
=14
V(4)=14-3(4)
=14-12
=2
I hope this helps
if f(x)=2x-1, what does f(10) equal
Answer:
f(10) = 19Step-by-step explanation:
f(x) = 2x - 1
To find f(10) substitute the value of x that's 10 into f(x). That is for every x in f (x) replace it with 10
We have
f(10) = 2(10) - 1
= 20 - 1
We have the final answer as
f(10) = 19Hope this helps you
The model at the right best represents what percent?
Answer:
hehe ily tacos hehehhee
Step-by-step explanation:
Answer:
65% out of 100%
Step-by-step explanation:
hope this helps! :)
HELP PRECALC WILL GIVE BRAINLIEST
Answer:
[500, 600, 500]
Step-by-step explanation:
Your friendly local matrix reducer will tell you the last column should be ...
500
600
500
__
Use rounding (to the nearest 10) to estimate the product of 3217 X 44.
The required, when rounded to the nearest 10, the estimated product of 3217 × 44 is 128,800.
What is the product?In mathematics, products are defined as the repetitive addition of a value a number of times to another value.
Here,
To estimate the product of 3217 × 44 by rounding to the nearest 10, we can round each number to the nearest 10 and then multiply:
3217 rounds to 3220
44 rounds to 40
So we can estimate the product as:
3220 × 40 = 128,800
Therefore, when rounded to the nearest 10, the estimated product of 3217 x 44 is 128,800.
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The following table shows the bonus earned by Samuel for selling different numbers of shirts:
Samuel's Bonus
Number of Shirts Sold Bonus Earned
9 24
12 32
15 40
18 48
21 ?
If c + d = 16 and d = 6, what is c- d?
Answer:
4
Step-by-step explanation:
c+d=16
d=6
so c will be 10 as c+6=16
c=10
d=6
so c-d=10-6=4
hope it helps
In the diagram which angles are vertical angles
Answer:
angles that are opposite each other when two straight lines intersect.
Step-by-step explanation:
How do I do constructions
Answer:
it depends
Step-by-step explanation:
The required tools are a compass and straightedge. A pencil or other drawing tool will also be useful (or you can use the marker in the compass).
__
Generally, follow the applicable directions. The specific directions vary, depending on the construction you want to do. Numerous web sites and videos can show you step-by-step. (Search for "construction of ...") for whatever you're trying to construct.
__
To construct a circle (or part of a circle), set the compass to the appropriate width, place the pointed end on the center of the circle, and rotate the marker in a circle around that point, taking care to ...
keep the pointed end in the same spot,keep the width of the compass the same until your circle is complete.To construct a line through two points, align the edge of the straightedge with the two points, and make a mark along that edge using your marking tool. (You may find that you need to make a slight adjustment in your alignment to account for the width of the marker).
All other constructions use combinations of these skills.
Pls help... asappp pls.
The length of AB = in ?
Use completing the square to solve for x in the equation (x + 7) (x minus 9) = 25.
Answer:
x=1+/- the square root of 89
Answer:
x=1+ (square root of 89)
Step-by-step explanation:
Dan drove his truck 2436 miles in six months at that rate how far will he drive in 12 months
Answer:
4,872 miles
Step-by-step explanation:
Step 1:
2,436 : 6
Step 2:
2,436 : 6 = x : 12
Step 3:
6x = 29,232
Answer:
x = 4,872
Hope This Helps :)
Identify the lateral area and surface area of a right cone with a radius of 7 cm and a slant height of 15 cm. PLEASE HELP!!! A)L = 329.9 cm2 ; S = 373.9 cm2 B)L = 329.9 cm2 ; S = 483.8 cm2 C)L = 659.7 cm2 ; S = 483.8 cm2 D)L = 659.7 cm2 ; S = 813.6 cm2
Answer:
Step-by-step explanation:
a.
L
=
329.9
c
m
2
;
S
=
373.9
c
m
2
.
b.
L
=
659.7
c
m
2
;
S
=
483.8
c
m
2
.
c.
L
=
659.7
c
m
2
;
S
=
813.6
c
m
2
.
d.
L
=
329.9
c
m
2
;
S
=
483.8
c
m
2
.
Surface Area of a Cone:
In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.
The height of the cone is the length of a line segment that joins the base to the vertex of the cone.
The radius of the cone is the same as the radius of the base.
Surface area of a cone
(a) Lateral Surface Area
If
l
and
r
are the slant height and radius of a cone then its lateral surface area is given by the formula-
L
=
π
r
l
where
L
is the lateral surface area of the cone
(b) Total surface area
It is the sum of the area of the circular base and the lateral surface area of the cone.
S
=
L
+
π
r
2
S
=
π
r
l
+
π
r
2
Where
S
is the total surface area of the cone
Answer and Explanation:
Given that the radius and slant height of a right cone is
7
c
m
and
15
c
m
respectively
r
=
7
c
m
l
=
15
c
m
So the lateral surface area of the cone-
L
=
π
r
l
L
=
π
(
7
)
(
15
)
L
=
105
π
L
=
105
(
3.14159
)
L
=
329.866
L
≈
329.9
c
m
2
And the total surface area of the cone-
S
=
L
+
π
r
2
S
=
329.9
+
π
(
7
)
2
S
=
329.9
+
49
(
3.14159
)
S
=
329.9
+
153.937
S
=
483.83
c
m
2
So the lateral area and total area of a right cone are
329.9
c
m
2
and
483.8
c
m
2
respectively.
3g-9+11g-21 simplyfy
Answer:
=14g−30
Step-by-step explanation:
I hope this helps you
Answer:
14g - 30
Step-by-step explanation:
combine like terms
The spray from a sprinkler reaches 21 feet from the sprinkler and creates a circle as it spins. What is the circumference of the circle sprayed by the sprinkler? Use 22/7 for π.
C=πd
r=21
d=42
C=132 ft, and D is your final answer. Hope it help!
Answer:
132
Step-by-step explanation:
D
To enhance Jamie’s explanation, describe both sections of the piecewise function using linear equations. Include any limits to the domain. HELP ASAP
Answer:
Sugar
Step-by-step explanation:
Izzy is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How many hours would it take a rocket that can travel at 500
miles per minute to travel to the moon? Round to the nearest hour
8 hours
20 hours
478 hours
28,680 hours
Answer:
478 hours
Step-by-step explanation:
You would divide 239,000 by 500.
ANSWER ASAP!!!!
PLEASE INCLUDE STEP BY STEP EXPLANATION
DO A.
Answer:
57
Step-by-step explanation:
I prefer the equation in this format
[tex] \frac{3 |m - 2 {n}^{2} | }{4} [/tex]
substitute -4 for m and 6 for n
[tex] \frac{3 | - 4 - 2( {6}^{2}) | }{4} [/tex]
square the 6 then multiply by 2
[tex] \frac{3 | - 4 - 72| }{4} [/tex]
solve inside the absolute value then multiply by 3
[tex] \frac{3 | - 76| }{4} [/tex]
[tex] \frac{228}{4} [/tex]
divide by 4
[tex]57[/tex]
What is the answer PLEASEE
Answer:
[tex]3^{-4}[/tex]
Step-by-step explanation:
[tex]3^5\cdot \:3^{-9}=3^{5-9}=3^{-4}[/tex]
Analyze the diagram below and complete the instructions that follow. If ON = MN, find MN. A. 4 B. 5 C.4 sqrt{2}]. D 4 square root 30
Answer:
C. 4 sqr 2, sorry for the answer being late, hope this helps some one tho :)
Step-by-step explanation:
I took the quiz and got it correct
Answer:
The answer would indeed be C.
Step-by-step explanation:
Was in my test on edg.
The width of a rectangular swimming pool is 12 meters less than the length, and the perimeter is 72 meters. Find its dimensions in meters
Answer:
The dimensions are 24 and 12 meters.
Step-by-step explanation:
W + L + W + L = 72 perimeter
(L-12) + L + (L-12) + L = 72
4L - 24 = 72
4L = 72 + 24 = 96 ====> L = 96%2F4 = 24.
Irving Manz works for Ben’s Food Mart. He is paid weekly on the basis of a 40-hour week at the rate of $8.95 an hour with time-and-a-half for overtime. During one week he works 49.5 hours. What was Irving’s time-and-a-half pay rate an hour?
Answer:
Irving earned about $363.00 during the week.
Step-by-step explanation:
Irving’s time-and-a-half pay rate an hour =$485.54
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Payment for one hour = $8.95
So, paid for 40 hours
=40*$8.95
= $358.00
Now for -a-half overtime
=$8.95*1.5
= $13.425
Now, for extra 9.5 hours
=$13.425*9.5
=$127.5375
Hence, Irving’s time-and-a-half pay rate an hour
=127.5375+358.00
=$485.54
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Find a formula for the general term
an (not the partial sum) of each infinite series (with starting point of n = 1.)
4/12+1+1/22+1+4/32+1+1/42+1+................
Answer and Explanation:
Solution: For the general term of each infinite series,
n=1 and the series are:
4/12+1+1/22+1+4/32+1+1/42+1+……..
Let [4/12 +1] + [1/22 + 1] + [4/32+1] + [1/42+1] +………
Sum of infinite series= ∑n=1 [4/n+11 + 1/n] + [1/n+21 + 1/n] + [4/n+31 + 1/n] + [1/n+41 +1/n] +………..
For n=1.
what is 0.004 ⃝ 4.00 *
0.004 < 4.00
Hope this helps! :)
solve 2x^3+7x^2-2x-1=o
Answer:
[tex]x=\sqrt{3}-2\\x=-\sqrt{3}-2\\x=\frac{1}{2}[/tex]
Step-by-step explanation:
This is a hard one
We have to use the rational root theorem
[tex]2x^3+7x^2-2x-1[/tex] = 0
We have to find all the factors of a and d and put them in a fraction
[tex]a=2\\d=-1\\\frac{1}{1,2}[/tex]
We then plug them into the equation to see if any of them work
The equation isn't true when plugging 1, but is true when plugging in 1/2
factored form of 1/2 is (2x-1)
Then we divide the original equation by (2x-1) (you can use synthetic division or long division, it would be hard to type out the process for that) to get [tex]x^2+4x+1[/tex]
So now the equation is [tex](2x-1)(x^2+4x+1)[/tex]
Solve the second half of this equation using the quadratic formula to get
[tex]\sqrt{3}-2[/tex] and [tex]-\sqrt{3}-2[/tex]
We already know the solution for the first half of the equation (1/2)
So the final answers are:
[tex]x=\sqrt{3}-2, -\sqrt{3}-2, \frac{1}{2}[/tex]
Point Q (-2, -2) is translated according to this rule (x - 3, y + 4). Which directions will Point Q be translated?
Answer:
it would be translated up.
Step-by-step explanation:
(-2,-2) (x-3, y+4)
-2-3= -5 -2+4= 2
(-5,2)
si el perímetro del círculo es 10π,determina el perímetro del rectángulo
If the revenue function for a particular commodity is R(p) = −53p2 + 64p, what is the (linear) demand function q(p)?
The Demand Function would be as follows:
[tex]Q = 64 - 53p[/tex]
What is Demand Function?This shows the relationship between Price & Quantity, represents Quantity as a function of price.
Revenue is the total receipts from sale, with the formula [tex]= Price[/tex] × [tex]Quantity[/tex]
So,
[tex]Quantity = Revenue / Price[/tex]
Hence, dividing the given revenue equation by P, we get
[tex]Q = (- 53p^2 + 64p )[/tex][tex]/ pQ = - 53p + 64[/tex] {Demand Function}
So, above-mentioned [tex]Q = 64 - 53p[/tex] is the Demand Function.
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