2x - y2
Z-5
Evaluate when x = 2, y = 4
z=3
Answer:
Putting the value in x = 2 , y =4 in 2x - 2y we get,
2 × 2 - 4× 2= 4-8 = -4
Putting the value in z = 3 in z - 5 we get,
z - 5 = 3 - 5 = -2
f(x)=2x+1 find x if f(x)=16 . Please help with this
Answer:
[tex]x=15/2=7.5[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(x)=2x+1[/tex]
And we want to find x such that:
[tex]f(x)=16[/tex]
To do so, substitute 16 for f(x):
[tex]f(x)=2x+1\\16=2x+1[/tex]
Subtract 1 from both sides. The right side cancels:
[tex](16)-1=(2x+1)-1\\2x=15[/tex]
Divide both sides by 2. The left side cancels:
[tex](2x)/2=(15)/2\\x=15/2=7.5[/tex]
The value of x is 7.5
Answer:
[tex]x=\frac{15}{2}[/tex]
Step-by-step explanation:
We are given the value of f(x). Insert this value into the original equation:
[tex]f(x)=16\\\\16=2x+1[/tex]
Solve for x. Subtract 1 from both sides:
[tex]16-1=2x+1-1\\\\15=2x[/tex]
Divide both sides by 2 to isolate x:
[tex]\frac{15}{2} =\frac{2x}{2} \\\\\frac{15}{2}=x[/tex]
When f(x) equals 16, x is equal to [tex]\frac{15}{2}[/tex]
Fuad’s model racing car drives at an average speed of 3 feet per second. Fuad records the distances and times in a table like the one shown below. Speed of Model Race Car Distance (ft.) 3 Time (s) 1 At this rate, how long will it take the car to travel 21 feet?
Answer:
7.0 seconds
Step-by-step explanation:
i did the test but how i know this is bc 3 divided by 21 is 7
NOT 9
DON'T USE 9 AS THE ANSWER
Answer:
7.0 seconds
Step-by-step explanation:
how many square feet of grass are there on a trapezoid field with a height of 75ft. and bases of 125ft. and 81ft?
formula: A=h(b1+b2/2)
Answer:
area= 7725
Step-by-step explanation:
A = 75((125+81)/2) A = 75(206/2) A = 75(103) A = 7725 The area is 7725 square feet
A species of phytoplankton measures about 2 × 10−6 in. A grain of sand measures about 1 × 10−4 in. About how many times longer is the grain of sand than the phytoplankton? A. 20 times greater B. 50 times greater C. 100 times greater D. 200 times greater
Answer:
B. 50 times greater
Step-by-step explanation:
Given;
size of phytoplankton = 2 × 10⁻⁶ in
size of sand grain = 1 × 10⁻⁴ in
Determine how many times longer the grain of sand is than the phytoplankton.
Divide the sand size by the phytoplankton size, to find out how much greater the sand is.
This can be done by equating it as follows;
2 × 10⁻⁶ (y) = 1 × 10⁻⁴
[tex]y = \frac{1*10^{-4}}{2*10^{-6}} \\\\y = 50[/tex]
Therefore, the grain of sand is 50 times greater than the phytoplankton
B. 50 times greater
Name three collinear points.
Type your answer as follows:
Answer:
A, B, E
Step-by-step explanation:
Three or more points are said to be collinear, if they lie on a single straight line
What is 3 3/5x(-8 1/3)=
Answer:-30
Step-by-step explanation:
please someone help me...
Answer: see proof below
Step-by-step explanation:
Use the following Sum Identities:
cos (A + B) = cosA · cosB - sinA · sinB
sin (A + B) = sinA · cos B - cosA · sinB
Use the Unit Circle to evaluate the following:
cos 30 = √3/2 sin 30 = 1/2
cos 45 = √2/2 sin 45 = √2/2
cos 120 = -1/2 sin 120 = √3/2
cos 240 = -1/2 sin 240 = -√3/2
cos 315 = √2/2 sin 315 = -√2/2
cos 330 = √3/2 sin 330 = -1/2
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \dfrac{\cos 285+\cos 345}{\sin 435-\sin 375}[/tex]
[tex]\text{Expand:}\qquad \quad \dfrac{\cos (240+45)+\cos (315+30)}{\sin (315+120)-\sin (330+45)}[/tex]
[tex]\text{Sum Identity:}\qquad \dfrac{\cos 240\cdot \cos 45-\sin 240\cdot 45+\cos 315\cdot \cos 30-\sin 315\cdot 30}{\sin 315\cdot \cos 120+\cos315\cdot \sin 120-(\sin330\cdot \cos45+\cos 330\cdot \sin 45) }[/tex]
[tex]\text{Unit Circle:}\quad \dfrac{(\frac{-1}{2}\cdot \frac{\sqrt2}{2})-(\frac{-\sqrt3}{2}\cdot \frac{\sqrt2}{2})+(\frac{\sqrt2}{2}\cdot \frac{\sqrt3}{3})-(\frac{-\sqrt2}{2}\cdot \frac{1}{2})}{(\frac{-\sqrt2}{2}\cdot \frac{-1}{2})+(\frac{\sqrt2}{2}\cdot \frac{\sqrt3}{2)}-(\frac{-1}{2}\cdot \frac{\sqrt2}{2})-(\frac{\sqrt3}{2}\cdot \frac{\sqrt2}{2})}[/tex]
[tex]\text{Simplify:}\qquad \dfrac{-\sqrt2+\sqrt6+\sqrt6+\sqrt2}{\sqrt2+\sqrt6+\sqrt2-\sqrt6}\qquad =\dfrac{2\sqrt6}{2\sqrt2}\qquad =\sqrt3[/tex]
LHS = RHS: [tex]\sqrt3 = \sqrt3\qquad \checkmark[/tex]
Which expression means 9 less than twice n?
O A. 2n -9
B. 2 (n - 9)
C. 9 - 211
D. 9–2+n
E. (9 - 2)
Answer:
The answer is A, 2n - 9
Step-by-step explanation:
9 less than (-9) twice n (2n)
2n - 9
Find the coordinates of the midpoint of the segment given its endpoints. A(5, 8) and B(-1, -4)
Answer:
(2,2)
Step-by-step explanation:
(5+(-1))/2. (8+(-4))/2
4/2 4/2.
(2,2)
find the equation of the line that is parallel to y = 3x - 2 and contains the points ( 2,11 )
Answer:
Below
Step-by-step explanation:
Let y' = mx + b be the equation of the second line
● m is the slope
● b is the y-intercept
The lines are parallel so they have the
same slope.
● y' = 3x + b
The second line crosses the point with the coordinates (2,11)
Replace y' by 11 and x by 2 to find b
● 11 = 3×2 + b
● 11 = 6 + b
Substract 6 from both sides
● 11 - 6 = 6 + b -6
● b = 5
So
● y' = 3x + 5
The ratio of the profit, cost of materials and labour in the production of an article is 5:7:13 respectively. If the cost of materials is Le 840 more than that of labour, find the total cost of producing the article
Answer:
Total cost is 2,800
Step-by-step explanation:
The given ratio 5:7:13 represents profit to cost of materials to labour.
However it is stated that cost of materials is Le 840 more than that of labour
Cost of material - 840 = labour
Cost of material = labour - 840
Let
Cost of material be x, and labour be y
x ÷ y = 7 ÷ 13 (equation 1)
x = y - 840 (equation 2)
Substitute x from equation 1 in equation 2
(y - 840) ÷ y = 7 ÷ 13
13 (y -840) = 7y
y = 1,820
Substitute value of y in equation 2
x = 1820 - 840
x = 980
So total cost is cost of material plus cost of labour = 980 + 1820 = 2,800
This will satisfy the ratio of 5:7:13 representing profit to cost of materials to labour
40% of one spig is a spoog. 25% of a speeg is a spoog. 70% of a speeg is a spug. what percent of 1 spig is 5 spugs?
Answer:
5 spugs is 560% of 1 spig
Step-by-step explanation:
a - spig
b - speeg
c - spoog
d - spug
40% of one spig is a spoog: 40%a = c
25% of a speeg is a spoog: 25%b = c
70% of a speeg is a spug: 70%b = d
what percent of 1 spig is 5 spugs?: x%a = 5d
40%a = c and 25%b = c
40%a = 25%b
[tex]b=\frac{40\%a}{25\%}=1.6a[/tex]
d = 70%b = 70%•1.6a = 112%a
x%a = 5d
x%a = 5•112%a
÷a ÷a
x% = 560%
If the relation is a function, list the domain and range. If the relation is not a function, choose "not a function". C = {(9, 1) (8, -3) (7, 5) (-5, 3)} A: Domain: {9, 8, 7, -5} Range: {1, -3, 5, 3} B: Domain: {1, -3, 5, 3} Range: {9, 8, 7, -5} not a function
Answer:
A: Domain: {9, 8, 7, -5} Range: {1, -3, 5, 3}
Step-by-step explanation:
C = {(9, 1) (8, -3) (7, 5) (-5, 3)}
The domain is the inputs
Domain: { -5,7,8,9}
The range is the output
Range{ -3,1,3,5}
This is a functions since there is no input that goes to multiple outputs
Ship A receives a distress signal from the north, And ship B receives a distress signal from the same vessel from the southeast. At what location is the vessel in distress located? Describe how you arrived at your conclusion using compete sentences. You must show all work in order to receive credit.
The coordinates of Ship A and B are missing, so i have attached it
Answer:
The vessel in distress is located at the coordinate (1, 2)
Step-by-step explanation:
The coordinates attached shows that;
Coordinates of A are (3, 4) while that of B are (1, 1).
We are told that Ship A receives a distress signal from the north, And ship B receives a distress signal from the same vessel from the southeast.
Now, from the image attached, If we imagine extending the line of ship A that is getting distress signal from southeast and also same thing for ship B that is getting signal from north,we'll discover that the lines intersect at a point with co-ordinates of approximately; (1, 2)
someone please help me
PLZ HELPP ÁLGEBRA BASICS 8(x + 5)=
Answer:
8x+40
Step-by-step explanation:
8*x=8x
8*5=40
=8x+40
Hope This Helped!!!
Answer: 8x+40
Step-by-step explanation:
Simplify (−8 + 8i) − (5 + 4i)
Answer: 13 + 12i
Step-by-step explanation:
Answer:
-13+4i
Step-by-step explanation:
(-8+8i)-(5+4i)
(-8+8i)-5-4i
-8+8i-5-4i
-8-5+8i-4i
-13+4i
To safely cross a bridge, the most a delivery truck can weigh is 4 tons. The empty truck and driver weigh a total of 5,690 pounds. How many pounds of cargo can the truck safely carry?
Answer:
Truck can safely carry 2310 pounds of cargo.
Step-by-step explanation:
Given the safety limit of weight to cross the bridge safely is 4 tons.
1 ton is equal to 2000 pounds.
so, 4 tons are equal to 2000 [tex]\times[/tex] 4 = 8000 pounds
Now, given that
weight of empty truck and driver = 5690 pounds
To find:
Weight of cargo that the truck can safely carry ?
Solution:
Total weight of the truck is actually the combined weight of the empty truck, the drive and the cargo carried in it.
So, Total Weight allowed = 8000 pounds = 5690 pounds + Weight of Cargo
Weight of Cargo = 8000 - 5690 pounds
Weight of Cargo = 2310 pounds
Truck can safely carry 2310 pounds of cargo.
The back of Tom's property is a creek. Tom would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is 920 feet of fencing available, what is the maximum possible area of the pasture
Answer:
Max Area = 105,800 sq.ft
Step-by-step explanation:
A square will always give us the maximum area.
Thus, one side would be;
920/4 = 230 feet
So, we want a square 230 ft by 230 ft
however, from the question, we are to use the creek as one side. So, we'll take the 230 ft that we don't need because of the creek and then add it to the opposite side to get 230 + 230 = 460 ft.
Thus,we now have a rectangle with dimensions: 230 ft by 460 ft
Area is given by;
area = length × width
Maximum Area = 230 × 460
Max Area = 105,800 sq.ft
solve the equation for x
2x+2(3x-8=32)
[tex]2x+2(3x-8)=32\\2x+6x-16=32\\8x=48\\x=6[/tex]distribute and collect like-terms
to make sure of the answer:
[tex]2x+2(3x-8)=32\\2(6)+2(3(6)-8)=32\\12+2(18-8)=32\\12+36-16=32\\12+20=32\\32=32[/tex]
whats the area of the rectangle?
Answer:
24x^2-13x-2Step-by-step explanation:
Area of rectangle = Length ×Breadth
[tex]Length =8x+1\\Breadth = 3x-2\\\\A =\left(8x+1\right)\left(3x-2\right)\\\\=8x\times\:3x+8x\left(-2\right)+1\times\:3x+1\times\left(-2\right)\\\\=8\times\:3xx-8\times \:2x+1\times \:3x-1\times\:2\\\\=24x^2-13x-2[/tex]
The area of a blackboard is 1 1 third square yards. A poster's area is 8 over 9 square yards. What is the unit rate of the blackboard's area to the poster's area?
Step-by-step explanation:
Given that,
The area of a blackboard is [tex]1\dfrac{1}{3}=\dfrac{4}{3}\ \text{yards}^2[/tex]
The area of poster is [tex]\dfrac{8}{9}\ \text{yards}^2[/tex]
We need to find the unit rate of the blackboard's area to the poster's area. So, it can be calcualted by dividing blackboard's area to the poster's area.
So,
[tex]\dfrac{\dfrac{4}{3}}{\dfrac{8}{9}}=\dfrac{4}{3}\times \dfrac{9}{8}\\\\=1.5[/tex]
So, the rate of [tex]1.5\ \text{yard}^2[/tex].
Which phrase matches the algebraic expression below 2(x-7)+10
Answer:
The sum of a number and 7 multiplied by 2 is increased by 10
Step-by-step explanation:
pleas help me Solve- 8/0.5
Answer:
The answer to the question is -16.
Answeryou should get 16 as uyour answer
Step-by-step explanation: i hope it helps :)
plus u have to simplfy if necssary
x = y - 2
4x + y = 2
Answer:
x-y=-2.
4x+y=2.
Answer is x=4/3 or 1.333333333.
Substitute x into eqtn I.
4/3-y=-2.
y=4/3+2.
y=10/3=3.333333333.~3.33
An architect is planning to put a circular mosaic in the entry of a new building. The mosaic will be in the shape of a circle with radius of 6 feet. How many square feet of tile will be needed for the mosaic? (Round your answer up to the next whole number.)
Answer:
113 square feet
Step-by-step explanation:
Since the shape of the mosaic that the architect would be using is circular is shape, the formula to apply to solve this question is area of a circle.
The formula for the area of a circle = πr²
In the above question,Area if a circle = πr²
radius of the circle = r = 6 feet
πr² = π × 6²
113.09733553 square feet
Approximately to the next whole number ≈ 113 square feet.
Therefore, the number in square feet of tiles needed for the mosaic is 113 square feet
12. If f(5) = 20.58 and f(6)= 2.94
f(7) = __. f(8) = Recursive Function:
Answer:
What's the answer
Step-by-step explanation:
The recursive function f(7) is = 7.f(8).
What is a recursive function ?A recursive function is a form of arithmetic or geometric sequence which repeats.
According to the given question f(5) = 20.58 and f(6) = 2.9.
Given it is a recursive function so it could be in form of arithmetic sequence or geometric sequence.
We have asked f(7) is how many times of f(8) from here we can conclude that it is in the form of geometric sequence.
f(5) = 20.58 and f(6) = 2.94 so the common ratio of n/(n-1) is
= 20.58/2.94
= 7.
Or we can say that f(5) is 7 times of f(6) which is 7.f(6) = f(5).
∴ f(7) = 7.f(8) = (1/7)f(6) = 0.42.
learn more about recursive function here :
https://brainly.com/question/23896867
#SPJ2
Pls help ASAP
→ What is 55/99 rounded to the nearest half? ←
A.) 0
B.) 1/2
C.) 1
D.) 1 1/2
==========================================
Explanation:
55 is close to 50
99 is close to 100
55/99 is close to 50/100 = 1/2
Using a calculator, 55/99 = 0.556 approximately which rounds to 0.5 = 1/2
Write 2x+4y=8 slope intercept form (solve for y)
Answer:
[tex]\boxed{y=-\frac{1}{2}x+2}[/tex]
Step-by-step explanation:
[tex]2x+4y=8\\\\2x-2x+4y=8-2x\\\\4y=8-2x\\\\\frac{4y=8-2x}{4}\\\\y=2-\frac{2}{4}x\\\\ y=2-\frac{1}{2}x\\\\\boxed{y=-\frac{1}{2}x+2}[/tex]
Hope this helps.
Answer:
y=4-x/2
Step-by-step explanation: