Answers
Answer:
The answer is A.
Step-by-step explanation:
Ok, first let see with each point makes the inequality true. Remember that a point is made up of x and y in the form of (x , y).
Let's see if A suits this inequality. Replace the x in the inequality with 5 and the y with 1. The inequality should look like this: 5(1) - 8(5) [tex]\leq[/tex] 10. 5 times 1 is 5 and 8 times 5 is 40. 5 - 40 is -35. -35 is less than 10 so this true. So A is a solution.
NOTE THAT THE SIGN "[tex]\leq[/tex]" MEANS GREATER THAN OR LESS THAN SO YOU ONLY NEED TO MEET ONE CONDITION.
Let's see if B suits this inequality. Replace the x in the inequality with -3 and the y with 2. The inequality should look like this: 5(2) - 8(-3) [tex]\leq[/tex] 10. 5 times 2 is equal to 10 and -8 times -3 is equal to 24. Now the quation is this: 10 + 24 [tex]\leq[/tex] 10. 10 plus 24 is 34 and 34 IS NOT EQUAL OR LESS THAN 10. So B is not a solution.
Let's see if C suits this inequality. Replace the x in the inequality with 0 and the y with 4. The inequality should look like this: 5(4) - 8(0) [tex]\leq[/tex] 10. 5 times 4 is 20 and -8 times 0 is 0. 20 + 0 is 20 and 20 IS NOT LESS THAN OR EQUAL TO 10. So C is not a solution.
-1, -5
Let's see if D suits this inequality. Replace the x in the inequality with -1 and the y with -5. The inequality should look like this: 5(-5) - 8(-1) [tex]\leq[/tex] 10. 5 times -5 is -25 and -8 times -1 is 8. -25 plus 8 is -17 and -17 IS NOT LESS THAN OR EQUAL TO 10. So D is not a solution.
HOPE THAT HELPED!
Answer:
the answer is A
hope it helps
Related Questions
what is the quadratic equation?
Answers
Which statement is not one of the axioms of Euclidean geometry
Answers
Answer:
missing info my dude
Step-by-step explanation:
Answer: If three points lie on the same line, there is only one plane that can pass through them.
Step-by-step explanation:
Whoever answers this fully will get brainliest. Part A: Using the graph above, create a system of inequalities that only contains points C and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A. Part C: Chickens can only be raised in the area defined by y > −4x + 3. Explain how you can identify farms in which chickens can be raised.
Answers
Answer:
Step-by-step explanation:
a. the inequality is x+y >= 2 (red line) that keeps onlythe two farms in the region.
b. substituting the coordinates of the farms in the inequality and see if they are satisfied:
C(2,2) 2+2 = 4 > 2 checks
F(3,4) 3+4 = 7 > 2 checks.
The other farms will not , for example,
D(1,-2) 1-2 = -1 < 2 does not check.
...
c. y > -4x + 3 is shown in blue.
Farms that satisfy given inequality can raise chickens, i.e. to the right of the blue line, or farms C,E and F.
If necessary, we can again check by the coordinates as in part b.
C(2,2) -4(2) + 2 = -8+2 = -6 y=2 > -6, so checks.
...
can a quadrilateral be both a rectangle and a rhombus
Answers
Answer:
Yes
Step-by-step explanation:
Rules for a rectangle: 4 90 degree angles
Rules for a rhombus: 4 sides of equal length
A square is a quadrilateral with 4 angles of 90 degrees and 4 sides of equal length.
Answer:
Hey there! The answer to your question is yes.
Step-by-step explanation:
Work: A quadrilateral has 4 sides. Both rectangle and rhombus has 4 sides so the answer would be yes
Hope that helps!
By: xBrainly
PLSSS HELPPP Simplify: (2 - i) (4 +2i)
Answers
Expand
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Step-by-step explanation:
( 2 - 1)(4+2)
= (1)(6)
= 6
Solve for x 4 ( x + 3 ) < 3 ( x + 5 )
Answers
Answer: x < 3
Step-by-step explanation:
4(x + 3) < 3(x + 5)
4x + 12 < 3x + 15 Distributed
x + 12 < 15 Subtracted 3x from both sides
x < 3 Subtracted 12 from both sides
Answer:
4x^2+9x-15<0
Step-by-step explanation:
x.4(x+3)<3(x+5)
(4x)(x+3)<3x+3x5
(4x)(x+3)<3x+15
4xx+4x.3<3x+15
4x^1+1+4x3x<3x+15
4x^2+12x<3x+15
(4x^2+12x)+(-3x-15)<(3x+15)+(-3x-15x)
4x^2+9x-15<3x-3x+15-15
4x^2+9x-15<0
I NEED THIS DONE ASAP!!!! WILL MARK BRAINLIEST
Answers
Answer:
The lines are NOT perpendicular because the slopes are not negative reciprocals.
Step-by-step explanation:
For two lines to be parallel, they must have the same slopes. For two lines to be perpendicular, they must be negative reciprocals.
In this case, the two slopes are simply reciprocals; they are not negative reciprocals. And so, the lines are NOT perpendicular because the slopes are not negative reciprocals.
Hope this helps!
Write the interval {x|1 < x < 3} as an i inequality
and using interval notation.
Answers
Answer:
1 < x < 3
(1 , 3)
Step-by-step explanation:
We have been provided with a set that is
{x|1 < x < 3}
We have to write it in both as an inequality and also in the form of interval notation.
The inequality can be found easily by just looking at the given set. It states that the set contains x, such that x is greater than 1 and x is smaller than 3, so the inequality can be written as:
1 < x < 3
To write in interval notation, we use brackets, As both 1 and 3 are not included, we'll use round brackets to show the interval.
(1 , 3)
helppppp me answer this plz
Answers
Answer:
Green: 50%
Purple: 25%
Black: 25%
Step-by-step explanation:
Well, the circle has 4 equal sections.
2 are green
1 is purple
1 is black
To find the probability of the spinner landing on each section we make a fraction.
Green)
2/4 simplified,
1/2, as a percent is 50%
Purple)
1/4,
1 divided by 4 = .25
To make that into a percent we move the decimal 2 places to the right -> 25%
Black)
1/4
1 divided by 4 = .25 as a percent 25%
Another help!! I need help ASAP guys
Answers
Answer:
B (the second choice)
Step-by-step explanation:
to calculate the area of a circle you use the formula A= π r²
the radius of the circle is 5 in, so the only answer that could work is
π(5in)²(30/360).
Hope this helps <3
~sunflowerpug
UwU
The corners of a square are cut off two centimeters from each corner to form an octagon. If the octagon is 10 centimeters wide, what is its area?
Answers
Answer:
Step-by-step explanation:
Area of octagon = area of square - area of 4 triangles that are formed in four corners
Area of square:
Side = Width of the octagon = 10 cm
Area = side * side
= 10 * 10
= 100 cm²
Area of triangle:
Base = 2cm
height = 2 cm
Area =[tex]\frac{1}{2}b*h[/tex]
=[tex]\frac{1}{2}*2*2[/tex]
= 2 cm²
Area of octagon = 100 - 2 = 98 cm²
A coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 2) and (1, 1). The second line is labeled g(x) and passes through the points (negative 4, 0) and (0, 2). The lines intersect at about (2.5, 3.2) How does the slope of g(x) compare to the slope of f(x)? The slope of g(x) is the opposite of the slope of f(x). The slope of g(x) is less than the slope of f(x). The slope of g(x) is greater than the slope of f(x). The slope of g(x) is equal to the slope of f(x). ALSO ITS NOT A NUMBER ANSWER
Answers
Answer:
Option B.
Step-by-step explanation:
If a line passing through two points, then the slope of line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that f(x) passing through the points (0,-2) and (1,1). So, slope of f(x) is
[tex]m_1=\dfrac{1-(-2)}{1-0}=1+2=3[/tex]
It is given that g(x) passing through the points (-4,0) and (0,2). So, slope of g(x) is
[tex]m_2=\dfrac{2-0}{0-(-4)}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]
Since, [tex]\dfrac{1}{2}<3[/tex], therefore [tex]m_2<m_1[/tex].
The slope of g(x) is less than the slope of f(x).
Therefore, the correct option is B.
several people at a local mall were surveyed about the kind of vehicle they drive and whether they own or rent their home. Use the results listed in the table to find the probability that a randomly selected person from the survey either rents their home or drives an SUV.
Answers
Answer as a fraction = 18/25
Answer in decimal form = 0.72
Answer in percent form = 72%
=========================================================
Explanation:
We have A = 6+6+1 = 13 people who rent their home (add the values along the bottom row). There are B = 5+6 = 11 people who drive an SUV (add up the values in the SUV column). There are A+B = 13+11 = 24 people who either rent their home or drive an SUV. Keep in mind that 6 people have been double counted if we just go with A+B without adjustment. These 6 people both rent their home and drive an SUV. To correct for the double-count, we subtract off 6 from A+B to get A+B-6 = 24-6 = 18.
So there are 18 people who rent their home, drive an SUV, or both.
This is out of 4+5+3+6+6+1 = 25 people surveyed total.
The probability of selecting someone who rents their home or drives an SUV is 18/25. In decimal form that is equivalent to 0.72 which converts to 72%
-1 2/3 divided by (-2 1/5)
Answers
Answer:
25/33
Step-by-step explanation:
-1 2/3 ÷ ( -2 1/5)
Change from mixed number to improper fraction
- ( 3*1 + 2) /3 ÷ - ( 5*2+1) /5
-5/3 ÷ -11/5
Copy dot flip
-5/3 * -5/11
25/33
The hypotenuse of a right triangles is 7 inches longer than the base and 14 inches longer than the height. The perimeter is 84 inches. Find its area
Answers
Answer:
294 in^2 = A
Step-by-step explanation:
Let h represent the length of the hypotenuse, b the base and h the height. Because this is a right triangle, the Pythagorean Theorem applies.
(hypotenuse)^2 = (base)^2 + (height)^2
h^2 = (h - 7)^2 + (h - 14)^2
Perimeter of the triangle is 84 inches, equal to (h) + (h - 7) + (h - 14), which in turn simplifies to 84 = h + h - 7 + h - 14, or 84 = 3h - 21, or 3h = 105. Solving this for h, we get h = 35.
Then the base is (35 - 7), or 28, and the height is (35 - 14), or 21.
The area of the triangle is found using the formula
A = (1/2)(base)(height) = (1/2)(28)(21) = 294 in^2 = A
Is 2(–2) + 6(2) equivalent to (–3)(–3) + (–1)(1)? Let negative numbers be represented with a "–" symbol and positive numbers be represented by "+" symbol. Use a pictorial model to justify your answer.
Answers
Answer:
Yes they are equivalent
Step-by-step explanation:
2(-2) = -4, plus 6(2) = 8 and
(-3)(-3) = 9, plus (-1)(1) = 8
Answer:
Yes they are equivalent
Step-by-step explanation:
the other fella right, check his reasons out, hope you guys learn from this question Stay safe everyone who sees this
30 POINTS! Please HELP! (5.06 MC) Determine the equation for the line of best fit to represent the data
y = 1/5x + 1 y = -5/1x + 1 y = -1/5x + 1 y = - 1/5x - 1
Answers
Answer:
y=-1/5+1
Step-by-step explanation:
Answer:
y = -1/5x + 1
Step-by-step explanation:
In these types of problems you want to guesstimate the slope and draw an imaginary solid line amongst the dots. The slope you'll end up with is -1/5 because the graph is decreasing.
and just to check, i typed this into my graphing calculator and can confirm this as the answer. :)
06.10 Module Six Practice Test
Est. Length: 2:00:00 Wyatt Stewart: Attempt 1
What is the value of the expression 22 +42 = 22? (1 point)
O 1) 3
O2) 6
0 3 8
04) 16
Answers
Answer: 04) 16
Step-by-step explanation:
The given expression is : [tex](22+42)\div2^2[/tex]
Since [tex]22+42=64[/tex]
and
[tex]2^2=2\times2=4[/tex]
So, by using these values the given expression will become
[tex](22+42)\div2^2=64\div 4 =16 \ \ \ [\text{As }16\times4=64][/tex]
Thus, the value of the expression [tex](22+42)\div2^2[/tex] is 16.
Hence, the correct option is "04) 16."
3. In the diagram O is the centre of
the circle.
AOC is a straight line.
Angle BAO is 24° and Angle ADO is 42°
a)find angle CAD
b)find the size of ACB
c)find the size of angle BCD
Answers
Answer:
Step-by-step explanation:
a) angle CAD= angle ODA ( in triangle OAD, OA=OD(same radius) angels opp to equal sides are equal)
hence angle CAD=42
b)angle b =90(angle subtended by diameter)
hence using angle sum property in triABC,
angle ACB=66-------------eq4
c) in tri OAD,
Angle AOD=180-(42+42)-------(using angle sum prop.)
=> 96-----------------eq1
angleACD=1/2 Angle AOD ( angle subtende by an arc at centre is double the angle subtended...)
hence angle ACD =1/2 x 96(from eq1)
angleACD=48--------------eq3
from eq 3,and eq4,
angle BCD= 48+66
=114 degree...
hope this helped you........pls mark brainliest
a) Measure of angle CAD is, 42°
b) The size of ACB is, 66°
c) The size of angle BCD is, 114°
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
In the diagram O is the center of the circle.
And, AOC is a straight line.
Here, Angle BAO is 24° and Angle ADO is 42°.
Now,
a) In triangle OAD,
⇒ OA=OD (same radius)
And, Angels opposite to equal sides are equal.
Hence, We get;
⇒ ∠CAD= ∠ODA
⇒ ∠ CAD = 42°
b) We have;
⇒ ∠B =90 (Angle subtended by diameter)
Hence, By using angle sum property in ΔABC,
⇒ ∠ BAC + ∠ACB + ∠B = 180°
⇒ 24 + ∠ACB + 90° = 180°
⇒ ∠ ACB = 66°
c) In ΔOAD,
⇒ ∠AOD = 180 - (42 + 42) ( By using angle sum property)
= 96
And, Angle subtended by an arc at center is double the angle subtended.
Hence, We get;
⇒ ∠ACD = 1/2 ∠AOD
= 1/2 × 96
= 48°
Hence, We get;
⇒ ∠ BCD = 48° + 66°
= 114°
Learn more about the circle visit:
https://brainly.com/question/24810873
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QUICK 35 POINTS PLUS BRANLIEST. PLEASE ANSWER ALL THE QUESTIONS PROPERLY AND EXPLAIN HOW YOU GOT THEM. TRY TO ANSWER THEM BY TODAY.
THANKYOU
Answers
Hope it helps <3
(If it does, please give brainliest, only need one more for rank up :) )
Answer:
2. [tex]18\sqrt{5}[/tex]
3. [tex]52.303...[/tex]
4. [tex]11.608...[/tex]
Step-by-step explanation:
2. Using the Pythagorean Theorem, we can see that [tex]a^2+b^2=c^2[/tex]. Therefore, [tex]90^2+90^2=8100+8100=c^2[/tex]. We know that [tex]8100+8100[/tex] is [tex]16200[/tex]. The square root of [tex]16200[/tex] is [tex]90\sqrt{2}[/tex].
3. Same as before, we use the Pythagorean Theorem. This time, we're calculating [tex]b[/tex] instead of [tex]c[/tex]. This means we have to do [tex]60^2-29.4^2=b^2[/tex], which gives us [tex]3600-864.36[/tex], which equals [tex]2735.64[/tex]. We can put this in decimal form, which would give us [tex]52.303[/tex][tex]...[/tex]
4. This one, we do [tex]15^2-9.5^2[/tex], which would give us [tex]134.75[/tex]. Simplifying this would give us [tex]11.608...[/tex].
Hope this helped! Just remember the Pythagorean Theorem.
A 3-column table with 4 rows. Column 1 has entries Catfish, bass, trout, all fish. Column 2 is labeled Sample 1 with entries 3, 9, 8, 20. Column 3 is labeled Sample 2 with entries 5, 9, 6, 20. The proportion used to find the average number of trout you would expect to live in the pond is 7 20 = x 400 . Solve the proportion to find the expected number of trout in the population. The expected number of trout in the population is .
Answers
Answer:
140
Step-by-step explanation:
The table is:
|Sample 1 | Sample 2
catfish | 3 | 5
bass | 9 | 9
trout | 8 | 6
all fish | 20 | 20
The average number of trouts is (8 + 6)/2 = 7
The average number of the total amount of fish is 20
So, there are 7 trouts within 20 fish. To find the expected number of trouts in a population of 400 fish, we have to solve the next proportion:
7 trouts / 20 fish = x trouts / 400 fish
x = 7*400/20
x = 140 trouts
Answer:
140
hope this helps
Two terms of an arithmetic sequence are a5=23 and a20=98. find the first 60 terms of the sequence
Answers
Answer:
[tex]-37,-32,-27,-22,-17,-12,-7,-2,3,8,\\13,18,23,28,33,38,43,48,53,58\\63,68,73,78,83,88,93,98,103,108\\113,118,123,128,133,138,143,148,153,158\\163,168,173,178,183,188,193,198,203,208,\\213,218,223,228,233,238,243,248,253,258[/tex]
Step-by-step explanation:
The nth term of an arithmetic sequence is obtained using the formula:
[tex]a_n=a+(n-1)d[/tex]
Given that: [tex]a_5=23$ and a_{20}=98.[/tex]
a_n=a+(n-1)d
[tex]a_5=23=a+(5-1)d \implies a+4d=23\\a_{20}=98=a+(20-1)d \implies a+19d=98\\$We solve simultaneously$:\\a+19d=98\\a+4d=23\\15d=75\\d=5\\Recall:a+4d=23\\a+4(15)=23\\a=23-60\\a=-37[/tex]
Therefore, the first 60 terms of the sequence are:
[tex]-37,-32,-27,-22,-17,-12,-7,-2,3,8,\\13,18,23,28,33,38,43,48,53,58\\63,68,73,78,83,88,93,98,103,108\\113,118,123,128,133,138,143,148,153,158\\163,168,173,178,183,188,193,198,203,208,\\213,218,223,228,233,238,243,248,253,258[/tex]
First 60 terms of the arithmetic sequence will be 3, 8, 13, 18, 23, 28, 33, 38, 43, 48, 53, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 198, 203, 208, 213, 218, 223, 228, 233, 238, 243, 248, 253, 258, 263, 268, 273, 278, 283, 288, 293, 298.
Arithmetic sequence: If two consecutive terms of a sequence has a common
difference 'd', sequence will be an arithmetic sequence and the
explicit formula for the nth term of the sequence will be,
[tex]A_n=a+(n-1)d[/tex]
Here, [tex]a=[/tex] First term
[tex]n=[/tex] nth term
[tex]d=[/tex] common difference
Given in the question,
Two terms [tex]a_5=23, a_{20}=98[/tex]
If 5th term of the sequence is 23,
[tex]23=a+(5-1)d[/tex]
[tex]23=a+4d[/tex] -------(1)
If 20th term of the sequence is 98,
[tex]98=a+(20-1)d[/tex]
[tex]98=a+19d[/tex] ----------(2)
Subtract equation (1) from equation (2),
98 - 23 = a + 19d - (a + 4d)
75 = 15d
d = 5
Substitute the value of 'd' in equation (1),
23 = a + 4(5)
a = 23 - 20
a = 3
Therefore, first 60 terms of the arithmetic sequence will be 3, 8, 13, 18, 23, 28, 33, 38, 43, 48, 53, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 198, 203, 208, 213, 218, 223, 228, 233, 238, 243, 248, 253, 258, 263, 268, 273, 278, 283, 288, 293, 298.
Learn more about an arithmetic sequence here,
https://brainly.com/question/26734488?referrer=searchResults
Could someone help with this?
Answers
Answer:
30t
Step-by-step explanation:
2(15)t
30t
Answer: 30t
Step-by-step explanation:
The group earned 15t, or 15$ an hour for t hours. Then it was doubled(15t * 2=30t)
Help pleaseeeeeeeeeeeeee and write it descriptively
Answers
Answer:
14) [tex]\frac{1}{2} n-1[/tex] (half of n is [tex]\frac{1}{2} n[/tex] and subtract that with 1)
15) 3o+4 ( multipy o with 3, it becomes "3o" and add that with "4")
16) 5p-2 (same concept as No.15)
17) 7+r ( add 7 with "r")
18) s+7 (same concept with No.18)
19) t-10 (subtract 10 from "t")
20) 10-u ( subtract "u" from 10)
21) 2v ( multiply 2 with v)
22) 2w (same concept as No.21)
23) [tex]\frac{x}{5}[/tex] (divide x with 5 and show the result in fractions)
24) [tex]\frac{5}{y}[/tex] ( divide 5 with y and show the result in fractions)
Tip : Alphabets and numbers never combine unless you multiply them with it (eg. 3*x = 3x) but ( 3+x stays like that ).
Two retailers sell vanilla extract by the following price chart. When will their price be the same and how much?
Answers
Answer:
8 oz, $41
Step-by-step explanation:
For 4 oz, Chef Mate sells their's for $22 and Grocery Gourmet sells their's $25. Chef Mate sells his vanilla extract for $4.75/oz and Grocery Gourmet sells their's for $4/oz. At the 8th ounce, Chef Mate and Grocery Gourmet will charge the same amount, $41.
Chef Mate: $22 (price of 4 oz) + ($4.75 × 4) = $41
Gourmet Garden: $25 (price of 4 oz) + ($4 × 4) = $41
Sign numbers, ratios & Proportion
(+10) + (+6) = ?
Answers
Answer:
16
Step-by-step explanation:
Putting a + in front of a number indicates that the number is positive. so we are just going to add it up.
10+6=16
10:6=5:3
Hope it helps:)
Can you please help solve this division problem. If you explain I will give Brainly
Answers
Hey there! :)
Answer:
5a².
Step-by-step explanation:
Solve this expression by finding how many times 9a² goes into [tex]45a^{4}[/tex]. Since we are only dividing from a monomial, long division does not need to be used.
Begin by solving for the coefficient:
45 ÷ 9 = 5.
Solve for the exponent of a:
[tex]a^{4}[/tex] ÷ a² (subtract exponents when dividing) = a². Therefore:
[tex]45a^{4}[/tex] ÷ 9a² = 5a².
in your own words, how geometric seqences are related to exponetiol functions
Answers
Answer:
Geometric sequences are exponential functions
Step-by-step explanation:
Geometric sequences are exponential functions.
The general term of a geometric sequence is given by the exponential function ...
a[n] = a[1]·r^(n-1)
where a[1] is the first term and r is the common ratio.
You will notice that the independent variable (n) is in the exponent of this function. Hence it is an exponential function.
Consider the system of equations.
y = 3x + 2
y=-fx-4
Explain why these particular equations can be graphed
immediately
Answers
Answer:
Because these are in slope-intercept form which is much easier because y=mx+b means that m=the slope, and b=y intercept so all your information is laid out in front of you.
Step-by-step explanation:
Given that P(B|A)=0.88 and P(A)=0.46, what is P(B AND A)? Round to three decimal places.
Answers
===============================================
Work Shown:
The notation P(B|A) has a vertical line separating the B and A
Given values
P(B|A) = 0.88P(A) = 0.46----------
P(B|A) = P(B and A)/P(A) ... conditional probability formula
P(B and A) = P(B|A)*P(A) ... solve for P(B and A)
P(B and A) = 0.88*0.46 ... plug in given values
P(B and A) = 0.4048
P(B and A) = 0.405 .... rounding to three decimal places
This is the same as P(A and B).