Answer:
[tex]x=2,\:y=-16[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}-8x+y=-32\\ -3x-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-8x+y=-32:\quad x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}x=-\frac{-32-y}{8}\\\begin{bmatrix}-3\left(-\frac{-32-y}{8}\right)-10=y\end{bmatrix}\\\\Simplify\\\begin{bmatrix}\frac{3\left(-32-y\right)}{8}-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{3\left(-32-y\right)}{8}-10=y:\quad y=-16\\\\\mathrm{For\:}x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}y=-16\\x=-\frac{-32-\left(-16\right)}{8}\\[/tex]
[tex]-\frac{-32-\left(-16\right)}{8}=2\\x=2\\x=2,\:y=-16[/tex]
Answer:
x = 2
y = -16
Step-by-step explanation:
Substitute value of y, -3x - 10 in the equation-8x + y = -32
-8x + (-3x - 10) = -32
-8x - 3x - 10 = -32
-11x - 10 = -32
-11x = -32 + 10
-11x = -22
Divide both sides by coefficient of x which is -11
x = 2
Substitute value of x, 2, in the equation-3x - 10 = y
(-3)2 - 10 = y
-6 - 10 = y
y = -16
What is this? k/8-5≥-6
Answer:
k≥-8
Step-by-step explanation:
what divided by 3 is -2
Answer:
-1.5
Step-by-step explanation:easy
. A cylinder has a radius of 7 cm and a height of 12 cm. Calculate the total surface area. (Take π = 22/7)
Answer:
154cm^2
Step-by-step explanation:
Area of circle= pi×r^2
= 22/7 × (7cm)^2
= 22/7 × 49cm^2
= 154cm^2
Got another question for you guys! What is 12.5 x 4.2?
Answer:
52.5
Step-by-step explanation:
Two rays that intersect at a right angle are best described as which of the
following?
A. Parallel rays
B. Perpendicular rays
C. Skew rays
D. Intersecting rays
Answer:
B. Perpendicular rays
Step-by-step explanation:
Definition Perpendicular: Perpendicular lines, rays, or segments intersect at right angles. If lines, rays, or segments are perpendicular, then they are right angles. If lines, rays, or segments intersect. at right angles, then they are. perpendicular.
Hope this Helps
The rays that intersect at a right angle are perpendicular rays option (B) is correct.
What is a perpendicular line?Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.
As we know,
From the definition, the perpendicular lines are the lines that intersect at right-angle or 90 degrees.
Two rays that intersect at a right angle are perpendicular rays.
Thus, the rays that intersect at a right angle are perpendicular rays option (B) is correct.
Learn more about the perpendicular line here:
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Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the exponential function relating time and money? The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time. The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time. The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time. The initial value of the graph is 500. The graph increases by a factor of 1.02 per 1 unit increase in time.
Answer:
A. The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.
Hope this helps!
Step-by-step explanation:
The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time the graph of the exponential function relate to time and money.
Given that,
Leticia invests $200 at 5% interest.
If y represents the amount of money after x time periods.
We have to determine,
Which describes the graph of the exponential function relating time and money?
According to the question,
The graph represents the exponential function relating time and money.
Where y represents the amount of money after x time periods.
After 1 period the amount of money is,
[tex]\rm f(x) = 200 + 200\left(\dfrac{5}{100}\right)\\\\f(x) = 200(1+0.5)\\\\f(x)= 200(1.5)\\\\[/tex]
After 2 periods the amount is,
[tex]\rm f(x) = 200(1.5) \times (1.5)\\\\f(x) = 200. (1.5)^2[/tex]
After 3 periods the amount is,
[tex]\rm f(x) = 200(1.5)^2 \times (1.5)\\\\f(x) = 200. (1.5)^3[/tex]
Therefore,
The amount after x period is,
[tex]\rm f(x) = 200(1.5)^x[/tex]
The initial value is when x = 0,
[tex]\rm y = 200 (1.05)^0 \\\\y = 200\times 1\\\\y = 200[/tex]
And the increasing factor is 1.05 because any value is the previous one times 1.05.
Hence, The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time the graph of the exponential function relate to time and money.
For more details refer to the link given below.
https://brainly.com/question/17407467
tell if is: < or >
Answer:
-9 < -1
21/5 < 17/4
Answer:
-9 < -1
21/5 < 17/4
Step-by-step explanation:
A) when a number isnegitv ethe "smaller" number has more value. You would rather loose one doller than 9, right?
B) 21/5 = 4.20
17/4 = 4.25
and .25 os bigger than .20
A container holds 2/3 gallon of apple juice. If four people from the cross-country track team share the juice equally, how much juice will each team member get?
Answer:
You would DIVIDE to solve this problem.
each runner will
get 1/6 gallon of apple juice
Step-by-step explanation:
A(-7,3) B(4,5) the distance
Answer:
d= 5√5
Step-by-step explanation:
[tex]d =:\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\(-7,3)=(x_1,y_1)\\(4,5)=(x_2,y_2)\\\\d = \sqrt{(4-(-7))^2+(5-3)^2}\\\\d = \sqrt{(4+7)^2+(5-3)^2}\\\\d = \sqrt{(11)^2+(2)^2}\\\\d = \sqrt{121+4}\\\\d = \sqrt{125}\\\\d =5 \sqrt{5}[/tex]
0.75 into a fraction
Answer:
the answer is 75/100 simplify into 3/4
Step-by-step explanation:
the answer is seventy five out of a hundred then simplify getting your answer as 3/4
write .48 as a fraction in simplest form
Answer:
12/25
Step-by-step explanation:
0.48 is read as "forty-eight hundredths," so we can write it as a fraction as
48/100.
Since both 48 and 100 have a common factor, we can reduce the fraction.
48 and 100 are both divisible by 4.
48/100 = 12/25
There are no common factors of 12 and 25, so 12/25 is the answer.
Answer:
12/25
Step-by-step explanation:
48/100 Divide by 2
24/50 Divide by 2 again
12/25 Can not be further simplified.
I hoped this helped you
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water. Find the height of the dock.
Given :
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.
To Find :
The height of the dock.
Solution :
This will make a right angle triangle as given in link below .
Now , applying Pythagoras theorem :
[tex](2h+3)^2=h^2+12^2\\\\4h^2+9h+9=h^2+144\\\\h^2+4h-45=0\\\\(h-5)(h+9)=0[/tex]
Now , h = 5 or h = -9 .
Now , height cannot be negative .
So , height of the dock is 5 ft .
Hence , this is the required solution .
Please Help me with this Problem
Answer:
D
Step-by-step explanation:
When y = 0 then we are on the x- axis thus x = - 2 and x = 3 are zeros
The corresponding factors are (x + 2) and (x - 3)
The corresponding equation is the product of the factors, that is
y = (x + 2)(x - 3) ← expand using FOIL
y = x² - x - 6 → D
Solve for x 5x - 5 = 5
Polynomial equation solver
5x - 5 = 5
Standard form:
5x − 10 = 0
Factorization:
5(x − 2) = 0
Solutions:
x = 10
5
= 2
Seela rented a raft from River Rafter's Inc. She paid $100
to rent the raft and $25 for each hour. Martin rented a
raft from Oscar's Outdoor Shop. He paid $50 to rent the
raft and $35 per hour. For what number of hours will
both rafting companies charge the same amount?
Answer:
she paid $125 while he paid $85
Step-by-step explanation:
AYUDAA es para hoyyy Un avión volaba a 14.800 metros de altura . Primero , bajo a 23.000 decímetros y luego 54 hectometros más a qué altura en kilómetros vuela ahora ? EN ESPAÑOL LA RESPUESTA POR FAVOR Gracias
Answer:
7.1 km or 7.1 kilometer
Step-by-step explanation:
Esta pregunta se resuelve mediante la conversión de unidades SI. Nuestra respuesta final será en kilómetros, por lo tanto, estamos convirtiendo todos los valores dados a kilómetros.
De la pregunta, tenemos la siguiente información:
Altura de vuelo actual del avión = 14.800 metros
1 metro = 0.001 kilómetro
14,800 metros =
14,800 × 0.001
= 14.8 kilómetros
Avión que descendió primero = 23.000 decímetros
1 decímetro = 0.0001 kilómetro
23,000 decímetros =
23,000 × 0.0001 kilómetro
= 2.3 kilómetros
Descendió la segunda vez = 54 hectómetros más
1 hectómetro = 0.1 kilómetro
54 hectómetros =
54 × 0.1 kilómetro
= 5.4 kilómetros
Por lo tanto, la altura en kilómetros que vuela el avión ahora se calcula como
14.8 km - 2.3 km - 5.4 km
= 14.8 km - (2.3 km + 5.4 km)
= 14.8 kilometros - 7.7 kilometros
= 7.1 kilometros
Por lo tanto, el avión vuela actualmente a 7.1 km o 7.1 kilómetros.
Answer the question please for me!!!
Answer:
4
Step-by-step explanation:
Which function has an inverse that is also a function? {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}
Answer:
C. {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}
Step-by-step explanation:
I just did the quiz. Basically all you do is switch the x and y values for each coordinate pair in order to see if it would pass the line test. If it has double X values, it is not a function with an inverse function.
Appreciate any help ^^ completely lost
Answer:
B
Step-by-step explanation:
4x²/2 √x^4/4x²
2x²√x²/4 ( equal to C)
4x²/2(x²/2x)
2x²(x²/2x)=
2x^4/2x =x³ ( equal to A) or √x^6 ( equal to D) also E x²√x²=x^3
Which equation models this relationship? Help plz
Answer:
Hey there!
t=5d.
This means that for every hour she walks, she will walk five miles.
Let me know if this helps :)
The floors in an apartment building belong to different ____.
a.
rays
b.
segments
c.
planes
d.
points
Answer:
B. Segments
Step-by-step explanation:
"...divide (something) into separate parts or sections."
Definition of Segment
Hope it helps! :3
Answer: it would have been segment or planes Im not 100% sure
if 12 people can finish a job by 5 days how many days will be required finish the same job by 10 people
Answer:
4
Step-by-step explanation:
12p=5d
1p=5/12
10p=4.1666
≈4 days
The Zoo charges $14 per visit for non-members. To become a member of the Zoo you will be charged a $36 one-time fee $2 per visit. At what number of visits will a member and non-member pay the same amount?
Answer:
7
Step-by-step explanation:
You divide the number of visits and the price. 14÷2=7
Números multiplicados que den 10?
The numbers that multiply to give 10 are -
2 x 5
5 x 2
2.5 x 4
What is multiplication?Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division.In math, multiply means the repeated addition of groups of equal sizes.Given is two multiply two numbers to give 10.
The numbers that multiply to give 10, we get -
2 x 5 = 10
5 x 2 = 10
2.5 x 4 = 10
Therefore, the numbers that multiply to give 10 are -
2 x 5
5 x 2
2.5 x 4
To solve more questions on multiplication, visit the link below -
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{Question in english is given below -
Multiplied numbers that give 10}
tell me the integers between this:
Answer:
[tex]\huge\boxed{-2,-1,0,1}[/tex]
Step-by-step explanation:
The order of integers from -3 to 2 is:
-3 ⇒ -2 ⇒ -1 ⇒ 0 ⇒ 1 ⇒ 2
So, the integers between -3 and 2 are:
=> -2,-1,0 and 1
HELP HELP HELP HELP HELPPPP!!
Answer:
1. whole number 2. rational number 3. integer
Step-by-step explanation:
Answer:
6 = natural and whole
1/64 = rational
-2 = integer
Step-by-step explanation:
find the additive inverse of 1/2 + 1/6 + 1/12
Answer:
3/4
Step-by-step explanation:
hey please help, thank you!
Scott made $169 for 13 hours of work at the same rate how much would he make for five hours of work
Answer:
$65
Step-by-step explanation:
169 ÷ 13 = 13
13 × 5 = 65
Solve the equation: only write the number is the box
2( 5x+2)=54
Answer:
x = 5
Step-by-step explanation:
Step 1:
2 (5x + 2) = 54
Step 2:
10x + 4 = 54
Step 3:
10x = 50
Answer:
x = 5
Hope This Helps :)
Answer:
x = 5
Step-by-step explanation:
2(5x+2)=54 (distribute)
10x+4=54 (subtract the 4 on both sides)
-4 -4
10x = 50 (divide 10 on both sides)
10 10
x = 5