Answers
Answer:
C
Step-by-step explanation:
We can easily rule out B and D because they have dotted lines and both equations are greater than or equal to and less than or equal to.
Answer:
C - with explanation
Step-by-step explanation:
First, when you graph an inequality that uses a < or > it's plotted with a dashed line to show the line isn't included in the region.
Inequalities with a [tex]\leq or \geq[/tex] are plotted with a solid line to show the line is included in the region.
You can eliminate B and D because they are showing a graph using < or >
Now we know it's either A or C.
To figure out each, let's pick 4 random points, one in each quadrant and color.
Let's pick (3,3) (3, -3) (-3,3) (-3,-3) For an easier visual they would be
|
(-3,3) | (3,3)
___________|____________
|
(-3,-3) | (3,-3)
|
Plus in the values for each inequality:
(3,3) x + 2y [tex]\leq[/tex] 4 3x - y [tex]\geq[/tex] 2
3 +[tex]\geq[/tex] 2(3) 3(3) - 3
3 + 6 = 9 9 - 3 = 6
9 is not [tex]\leq[/tex] to 4 6 is [tex]\geq[/tex] 2
So this is a valid point because it works in the 2nd equation.
We got lucky and the first point we chose eliminates option A because (3,3) is a point that works and option A shows that area as being "out of bounds."
To test option C let's pick a point in the undefined area. Let's choose (-1,3)
(-1,3) x + 2y [tex]\leq[/tex] 4 3x - y [tex]\geq[/tex] 2
-1 +[tex]\geq[/tex] 2(3) 3(-1) - 3
-1 + 6 = 5 -3 - 3 = - 6
5 is not [tex]\leq[/tex] to 4 -6 is not [tex]\geq[/tex] 2
So this point in the white area is not valid for either inequality.
Now we know for sure the correct option is C.
Related Questions
find the equation of the line that is parallel to y = 3x - 2 and contains the points ( 2,11 )
Answers
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
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
Answers
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
12. If f(5) = 20.58 and f(6)= 2.94
f(7) = __. f(8) = Recursive Function:
Answers
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
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?
Answers
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:
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?
Answers
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%
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
Answers
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
Simplify (−8 + 8i) − (5 + 4i)
Answers
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
Please help I will give out brainliest
Answers
Answer:
a. L.B. = 20.5
b. U.B. = 21.5
Step-by-step explanation:
Length is measured 21 cm correct to 2 significant figures
a. Lower bound of 21
= 20.5 < 21
= 20.5
b. Upper bound of 21
= 21 < 21.5
= 21.5
sᴏʟᴠᴇ ɪᴛ ʙʏ sᴜʙsᴛɪᴛᴜᴛɪᴏɴ ᴍᴇᴛʜᴏᴅ
Answers
Answer:
x = 1
y = 1
Step-by-step explanation:
Given:
x/a + y/b = 1/a + 1/bx/a - y/b = 1/a - 1/bAdd up the two equations side-by-side, this will cancel y/b and 1/b:
x/a+x/a = 1/a+1/a2x/a=2/ax = 1Subtract the two equations side-by-side, this will cancel x/a and 1/a:
y/b+y/b = 1/b+1/b2y/b=2/by=1Answer:
x = 1, y = 1
Step-by-step explanation:
[tex] \frac{x}{a} + \frac{y}{b} = \frac{1}{a} + \frac{1}{b} .....(1) \\ \frac{x}{a} - \frac{y}{b} = \frac{1}{a} - \frac{1}{b} .....(2) \\ \\ let \: \: \frac{1}{a} = m, \:\:\&\: \: \frac{1}{b} = n \\ so \: equatin \: (1) \: reduces \: to: \: \\ \\ so \: equatin \: (1) \: reduces \: to: \: \\ mx + ny = m + n....(3)\\ and \: equatin \: (2) \: reduces \: to: \: \\ mx - ny = m - n....(4) \\ adding \: equations \: (3) \: (4) \\ mx + ny = m + n \\ mx - ny = m - n \\ - - - - - - - - - - \\ 2mx = 2m \\ x = \frac{2m}{2m} \\ \huge \red{ \boxed{x = 1}} \\ substituting \: x = 1 \: in \: equatin \: (3) \\ m \times 1 + ny \: = m + n \\ m + ny \: = m + n \\ ny = m + n - m \\ ny = n \\ y = \frac{n}{n} \\ \huge \purple{ \boxed{y = 1}}[/tex]
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.)
Answers
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
Solve x^3 = 8/729 please answer
Answers
Answer:
x=2/9
Step-by-step explanation:
x^3=8/729
Hence,
x= cube root of (8/729)
x=cube root of 8
cube root of 729
x=2
9
Answer: decimal form : x=0.10475656
Step-by-step explanation:
Take roots of both sides and solve
x = y - 2
4x + y = 2
Answers
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
Write 2x+4y=8 slope intercept form (solve for y)
Answers
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:
2x - y2
Z-5
Evaluate when x = 2, y = 4
z=3
Answers
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
50 points pls answer I will give Brainlyist
Answers
Answer:
point A: 2
point B: -3
your friend is incorrect
Step-by-step explanation:
Answer:
point A: 2
point B: -3
your friend is incorrect
Step-by-step explanation:
Which phrase matches the algebraic expression below 2(x-7)+10
Answers
Answer:
The sum of a number and 7 multiplied by 2 is increased by 10
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)
Answers
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
solve the equation for x
2x+2(3x-8=32)
Answers
[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]
someone please help me
Answers
Steps:
(2f^4)^6
=2f^4 * 2f^4 * 2f^4 * 2f^4 * 2f^4 * 2f^4
=64f^24
Where ^4 means to the power of 4 and so on
evaluate the expression
Answers
Answer:
-5
Step-by-step explanation:
We are given the expression:
[tex]\frac{1}{4} [-5+5(-3)][/tex]
and asked to evaluate.
We must solve this expression according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
Solve inside the brackets first. Multiply 5 and -3.
5 * -3= -15
[tex]\frac{1}{4} [-5+-15][/tex]
Add -5 and -15.
-5+-15= -20
[tex]\frac{1}{4} [-20][/tex]
Finally, multiply 1/4 and -20, or divide -20 by 4.
1/4 * -20 = -5 OR -20/4= -5
[tex]-5[/tex]
When evaluated, the expression 1/4 [ -5 +5(-3)] is equal to -5.
first you multiply 5 and -3 to get -15.
next you add -5 and -15 to get -20.
the final step is to multiply 1/4 and -20 to get -20/4 which can be simplified to -5.
hope this helped!!
Pls help ASAP
→ What is 55/99 rounded to the nearest half? ←
A.) 0
B.) 1/2
C.) 1
D.) 1 1/2
Answers
==========================================
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
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?
Answers
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].
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
Answers
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
PLZ HELPP ÁLGEBRA BASICS 8(x + 5)=
Answers
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:
Name three collinear points.
Type your answer as follows:
Answers
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
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?
Answers
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.
What is 3 3/5x(-8 1/3)=
Answers
Answer:-30
Step-by-step explanation:
f(x)=2x+1 find x if f(x)=16 . Please help with this
Answers
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]
whats the area of the rectangle?
Answers
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]
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
Answers
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