Evaluate the function when x=−2, 0, and 5. g(x)=3x−2
The values of the given function for x=-2, 0 and 5 are -8, -2 and 13 respectively.
The given function is g(x)=3x-2.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Put x=-2 in the given function, we get
g(-2)=3(-2)-2
= -6-2
= -8
Put x=0 in the given function, we get
g(0)=3(0)-2
= -2
Put x=5 in the given function, we get
g(5)=3(5)-2
= 15-2
= 13
Therefore, the values of the given function for x=-2, 0 and 5 are -8, -2 and 13 respectively.
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a motorboat takes 5 hours to travel 150 Miles going Upstream. the return trip takes 3 hours going Downstream .what is the rate of the boat in still water and what is the rate of the current ?
Answer:
Speed of boat in still water = 40 mph
Rate of current = 10 mph
Step-by-step explanation:
Let the speed of boat in still water be x & let the speed of the stream be y.
Total Distance = 150 miles
Time taken to travel during upstream = 5 hrs
Speed of the boat during upstream = [tex]\frac{150}{5} = 30\:mph[/tex]
Speed of boat during upstream can be represented as [tex]x - y = 30[/tex] because the boat is moving in the opposite direction of flow of stream.
Time taken to travel during downstream = 3 hrs
Speed of boat during downstream = [tex]\frac{150}{3} = 50\:mph[/tex]
Speed of boat during downstream can be represented as [tex]x+y=50[/tex] because the boat is moving in the same direction of flow of stream.
We got a pair of linear eqns. Let [tex]x-y=30[/tex] be eqn.1 and [tex]x+y=50[/tex] be eqn.2 . Using substitution method ,
From eqn.1 , [tex]x-y=30[/tex]
[tex]=> x = y + 30[/tex]
Putting 'x' in eqn.2 , [tex]x + y = 50[/tex]
[tex]=> y + 30 + y = 50[/tex]
[tex]=> y + y = 50-30[/tex]
[tex]=> 2y = 20[/tex]
[tex]=> y = \frac{20}{2} = 10\: mph[/tex]
Putting y in eqn.1 ,
[tex]x - 10 = 30[/tex]
[tex]=> x = 30 + 10 = 40 \:mph[/tex]
Hence , the speed of boat in still water is 40 mph and speed of stream is 10 mph
Pls help and show workings due ASAP
Answer:
A
Step-by-step explanation:
By triangle inequality,
L < 15+6
15 < L+6
6 < L+15
Solving these, we get 9 < L < 21.
Only 10 falls within the range.
The answer is therefore 10cm i.e. A.
can
Someone
Help
Me
Answer:
slope is -3
Step-by-step explanation:
slope formula m= rise/run= y2-y1/x2-x1
Find the distance between point A and point B. Round your answer to the nearest tenth (one place after the decimal). *
Answer:
The distance of two points = 6 √2 = 8.4852
Step-by-step explanation:
Explanation:-
From the graph
Given points are A ( 4,2) and B ( -2 , -4)
The distance formula
= [tex]\sqrt{(x_{2} -x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]
( x₁ , y₁ ) = ( 4,2 ) and (x₂ , y₂) = ( -2 , -4)
The distance formula
= [tex]\sqrt{(x_{2} -x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]
=[tex]\sqrt{(-2 -(4))^{2} + (-4 - (2))^{2} }[/tex]
= [tex]\sqrt{36+36} = \sqrt{72} = 6\sqrt{2}[/tex]
Final answer:-
The distance of two points = 6 √2 = 8.4852
solve for x 8/x +1/5 = 3/x
Answer:
I think x=-25
Step-by-step explanation:
Can some one solve 2 I’ll give a crown
Answer:
Hi! The correct answer is 16!
Step-by-step explanation:
~Use the formula (b/2)^2 in order to create a new term to complete the square~
Answer:
the answer is option : c 16
Which point represents the ordered pair (-1.1,0.2)?
Point B
Point A
Point C
A
.
B
Point D
0
Answer: is point B
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is B
25 penalties decreased by 32% is
penalties.
Answer:17
Step-by-step explanation:
the point 2,1 is the turning point of the graph with the equation y=x^2+ax+b
Answer:
14/12/2019 — However, we know that the line passes through two known points with x and y coordinates. ... The equation of a curve is y = x^2 + ax + b where a and b are integers. ... x2 (or second order polynomial) graphs are symmetrical about their turning point ... Therefore, we know that the line intercepts the x-axis at (-1,0) and (5,0).
Step-by-step explanation:
Answer:
a = -4, b = 3
Step-by-step explanation:
sorry, im a bit late but hoping to help others that need the answer.
when you complete the square for a quadratic, you r answer can come in the form (x+p)^2+q.
in this form, p is the opposite of the x coordinate.
and q is the same as the y coordinate.
to get p and q from this, we find the opposite of the x coordinate and use the y coordinate we are given, and plug them into this equation.
we get: (x-2)^2+1
lets complete the equation now.
(x-2)^2 = x^2 - 4x + 4, then add the one we left out = x^2 - 4x + 5.
now our equation is in the same format as y=x^2+ax+b so we can just pull out the A and B which gives us:
A = -4
B = 5
if i am wrong please feel free to correct me, ty.
2. You and 5 friends went out to eat at Little Italy.
The bill was split equally and each person paid
$13.26. Write and solve an equation to find the
amount of the total bill.
Answer:
13.26 * 6 =79.56
Step-by-step explanation:
Urgent please help, will give brainliest
Answer:
the answer is x=9
Step-by-step explanation:
Step-by-step explanation:
the answer was x=9 wish you luck on your homework and tests
All of the following expressions represent the sum of n and itself, except _____.
a.n + n
b.2n
c.n2
Which is a like radical to 3sqrt54 after simplifying?
Answer:
Step-by-step explanation:
r4345456r776i7o7865
Answer:
[tex]\sqrt[3]{54}[/tex] = 3 [tex]\sqrt[3]{2}[/tex]
Step-by-step explanation:
this is the radical after simplifying
I need help it’s hard
what is the solution to the system of equations?
A. (-7, -6)
B. (-6, -7)
C. (0, 2)
D. (2, -5)
Answer: B.
Step-by-step explanation:
Randy owns 120 baseball cards, and Phil owns 95 baseball cards. The number of baseball cards Davis owns is equal to 5 times the difference between Randy's number of cards and Phil's. How many cards does Davis own?
A. 25 cards
B. 30 cards
C. 125 cards
D. 150 cards
Answer:
125
Step-by-step explanation:
First you want to find out the difference between Randy and Phil:
120 - 95 = 25
Then, multiply that by five:
25 × 5 = 125
Hope this helps
Answer:
Davis owns 125 cards
Step-by-step explanation:
120 - 90 = 25 x 5 = 125
please help!!! ill give brainliest
Answer:
Step-by-step explanation:
divide the number then add on
You can solve this using the Quadratic Formula, x =.
a = 1, b = -12, c = 59
x = Multiply 4 and 1
x = Multiply 2 and 1
x = Multiply -4 and 59
x = Square 12
x = Subtract
x = You can't find the square root of negatives, so factor the -92 out.
x = You can find the square of 4, so take that out.
x = Split the expression into two parts
x = (+ or -) The 2 in the numerator and the 2 in the denominator cancel each other out
x = (+ or -) Divide 12 by 2
x = 6 (+ or -) Now, split the solution into the plus and minus parts.
Divide 2 1/2 divided by 1/5 in simplest form
Answer:
The answer will be 10
Step-by-step explanation:
[tex]2\frac{1}{2} = \frac{5}{2}[/tex]
[tex]\frac{5}{2}[/tex] ÷ [tex]\frac{1}{4} = \frac{5}{2} x \frac{1}{4}[/tex] = [tex]\frac{20}{2}[/tex]
[tex]\frac{20}{2} =[/tex] 10 (in its simplest form)
The solution of equation 2 1/2 divided by 1/5 in simplest form is, 5
We have to given that,
To Divide 2 1/2 divided by 1/5 in simplest form.
We can simplify,
⇒ 2 1/2 ÷ 1/4
Change into improper fraction,
⇒ 5/4 ÷ 1/4
⇒ 5/4 × 4/1
⇒ 20/4
⇒ 5
Therefore, The solution of equation 2 1/2 divided by 1/5 in simplest form is, 5
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Please help me I need it!!!!
Answer:
d
Step-by-step explanation:
because it starts off under the water which is -24 then you add a positive 24 to get to sea level
Answer:
the distance above sea level after increasing 24 meters from a depth of 24 meters below sea level
Step-by-step explanation:
equation- -24m + 24m = 0
the answer to the first one is -10 (-5 - 5 - -10)
the answer to the second one is 1,000 (0 + 1,000 = 1,000)
the answer to the third one is 10 ( 20 - 10 = 10)
the answer to the fourth one is 0 (-24 + 24 = 0)
Meryl needs to cut down 10.5 trees for every 5 cabins she builds.
Complete the table using equivalent ratios.
Number of trees Number of cabins
10.5 5
__ 3
__ 7
Answer:
for seven cabins it should be 14.7 trees, im not sure about 3 cabins, sorry :(
Answer:
3) 6.3
7) 14.7
Step-by-step explanation:
Use ratios to solve the table
10.5/5 = x/3
cross multiply
31.5 = 5x
x = 6.3
10.5/5 = x/7
73.5 = 5x
x = 14.7
Help please I need help on this problem,appreciate it :)
Rewrite (squareroot n^5 p^8)
as an exponential expression
Answer:
the answer is the option : D
If m∠2 = 120°, what is m∠7?
I need help I’m failing
Answer:
D
Divide both by 3
Step-by-step explanation:
B(3x -4) A(9x + 17) C(6x -31) solve for all angles
Answer:
11
Step-by-step explanation:
Don't worry I just know
Jack rode a bike through a new in the path shown at the right. If Jack took an average of 2 pictures per mile, how many pictures did Jack take on his bike ride?
Answer:
Jack took 10 pictures on his bike ride.
Step-by-step explanation:
Given that:
Given measurements of sides are 3 miles and 4 miles
We will find the distance of the new route by using Pythagorean theorem.
[tex]a^2+b^2=c^2[/tex]
(3)² + (4)² = c²
9 + 16 = c²
25 = c²
c² = 25
Taking square root on both sides
[tex]\sqrt{c^2}=\sqrt{25}\\c=5[/tex]
The distance of new route = 5 miles
Picture taken per mile = 2
Picture taken on bike ride = 2*5 = 10 pictures
Hence,
Jack took 10 pictures on his bike ride.
Find the value of x
a. 65
b. 48.7
c. 77
d. 39.3
Answer:
65 but I not really to sure so A
Type the correct answer in the box. Use numerals instead of wc
The length of each side of a square increases by 2.5 inches to
original square was
inches.
Question serial: FIB-3A42-E542-4CD6
P
Answer:
me dont know solve it your self HAHAHHH loser
Step-by-step explanation:
URGENT PLEASE HELP!
Explain the steps you would take to graph 2x-3y>15.
Answer:
y>5−2x/3
Step-by-step explanation:
In the diagram below, line RCBT and △ABC are shown with m∠A = 60 and m∠ABT = 125. What is the m∠ACR?
1.125°
2.115°
3.65°
4.55°
Answer:
3.) 65
Step-by-step explanation:
180-125=55
55+60= 115
a triangle equals 180
180-115=65
The sum of all the angles in a triangle is 180 degrees.
The value of the m∠ACR is 65°.
Option 3 is the correct answer.
What is the sum of angles in a triangle?The sum of all the angles in a triangle is 180 degrees.
We have,
Line RCBT and ΔABC.
From the diagram, we see that,
In ΔABC,
m∠A + m∠B + m∠C = 180 ___(1)
m∠CBT = 180
m∠CBA + m∠ABT = 180
m∠CBA + 125 = 180
m∠CBA = 180 - 125
m∠CBA = m∠B = 55 ____(2)
m∠BCR = 180
m∠BCA + m∠ACR = 180 ____(3)
From (1) and (2) we get,
m∠A + m∠B + m∠C = 180
60 + 155 + m∠C = 180
m∠C = 180 - 60 - 55
m∠C = 65 ____(4)
From (4) we get,
m∠ACR = 65
Thus,
The value of the m∠ACR is 65°.
Option 3 is the correct answer.
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