Answer:
given,
the points are(-4,-3) and (-7,5)
now, midpoint=
[tex] \frac{x1 + x2}{2} , \frac{y1 + y2}{2} [/tex]
or, midpoint =
[tex] \frac{ - 4 - 7}{2} ,\frac{ - 3 + 5}{2} [/tex]
therefore the midpoint is (-11/2,1)... ans
hope it helps..
Should I use SAS (side angle side) or SSS (side side side) to see if the triangles are congruent? AND WHY?
the graph of y=f(x) is shown on the grid
Answer:
look below
Step-by-step explanation:
The equation of graph g(x) = f(-x) as it has been rotated along y-axis and the maximum coordinates of g(x) is (-3, 4).
What is a function?A function can be thought of as output for the given set of inputs. The output is called the dependent variable and the inputs are called the independent variable.
We know when we rotate a function along the y-axis sign of x changes.
Given a function y = f(x) after rotation along y-axis it becomes y = f(-x) = g(x)
and if the given function is odd f(-x) becomes -f(x).
Also given that the maximum point of f(x) = (3, 4).
∴ Function g(x) will have maximum at coordinates (-3, 4).
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Consider the polynomial function g(x)=5x^6+x^5+9x^3-12x-125 What is the end behavior of the graph of g?
Answer:
As x —> infinity, g(x)—> infinity, and as x —> Negative infinity, g(x) —> Infinity
Step-by-step explanation:
Because
The end behavior of the graph will be as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.
What is a polynomial function?A quadratic, cubic, quartic, and other functions involving only non-negative integer powers of x are examples of polynomial functions. We can define a polynomial's degree and provide a generic definition for it.
A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
The given function is g(x)=5x ⁶+x⁵+9x³-12x-125 will have the end behavior of the graph as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.
Therefore, the end behavior of the graph will be as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.
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The rules of a contest say that there is a 5% chance of winning a prize. 400 people enter the contest. Predict how many people will win a prize.
Answer:
20 people
Step-by-step explanation:
In this problem, you are solving for 5% of 400. All percentages are out of 100, meaning 5% equals 0.05 because 5 ÷ 100 = 0.05
1. Multiply 400 by 5% (0.05)
400 · 0.05 = 20 people
Answer:
20 people will win
Step-by-step explanation:
i used a notes and google to answer this :)
Solve this system using the substitution method: y = 6x – 5; y = (2/3)x + 1
Answer:
x = 1.125
Step-by-step explanation:
6x – 5 = (2/3)x + 1
6x - (2/3)x = 1 + 5
(16/3)x = 6
x = 9/8
x = 1.125
a storybook is sold at a discount of 20%. If the discount is $3, what is the selling price of the storybook
Answer:
Step-by-step explanation: the discount on the original price is a 20% discount, so it is 20% of x, or 0.2x.
We are told the discount is $3, so 0.2x = 3. Now we solve the equation for x.
0.2x = 3
Divide both sides by 0.2.
x = 3/0.2
x = 15
The regular price is $15.
Answer:
12
Step-by-step explanation:
x = original price
x* 20% = 3
Change to decimal form
x*.2 = 3
Divide each side by .2
x*.2 /.2 = 3/.2
x =15
The original price is 15
Selling price is 15-3 = 12
10. The sum of four consecutive integers is at least 18. What's the smallest consecutive integer to make this statement true?
O A.3
O B.4
O C.5
O D.8
Answer:
A. 3
Step-by-step explanation:
Let the integers be
x
(x+1)
(x+2)
(x+3)
Sum the integers
We have,
x+(x+1)+(x+2)+(x+3)=18
x+x+1+x+2+x+3=18
4x+6=18
Subtract 6 from both sides
4x-6=18-6
4x=12
Divide both sides by 4
4x/4=12/4
x=3
The smallest integer which is x is equal to 3
Check:
3+4+5+6=18
Find the inequality represented by the graph?
Answer:
y > -2/3x + 3
Step-by-step explanation:
Well lets first start with the beginning and look at its features.
Features
- Dashed line
- Shaded up
- negative slope
- y intercept at 3
____________________________________________________________
So if the line is dashed with the shade going up that means the inequality starts like this,
y >
We can tell that the y intercept is at 3 because that the point the line touches the y axis.
So we got y > 3,
To find slope we use the following formula,
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex],
So we can use points (0,3) and (3,1).
1 is y2 and 3 is y1 so 1 - 3 = -2
3 - 0 = 3
Slope: -2/3x
Thus,
the inequality is y > -2/3x + 3.
Hope this helps :)
The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.
According to the figure, we have an inequation of the form [tex]y > f(x)[/tex], where [tex]f(x)[/tex] is a linear function.
The linear function can be found by using the point-slope formula:
[tex]y-y_{1} = \left(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\right)\cdot (x-x_{1})[/tex] (1)
If we know that [tex](x_{1}, y_{1}) = (0, 3)[/tex] and [tex](x_{2}, y_{2}) = (3, 1)[/tex], then the linear function is:
[tex]y -3 = \left(\frac{1-3}{3-0} \right)\cdot x[/tex]
[tex]y = -\frac{2}{3}\cdot x+3[/tex] (1b)
The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.
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Which of the following systems has equations that are dependent?
1. 2x + 2y = 6
4x + 4y = 4
2. 2x + 2y = 6
2x - 2y = 6
3. y = -x+3
y = -x-3
4. 2x+2y = 6
y = -x + 3
-125>-135 divide each side by -5 what is the resulting true inequality
Answer: 25<27
Step-by-step explanation:
-125/-5=25
-135/-5=27
25<27
Answer:
[tex]\boxed{25<27}[/tex]
Step-by-step explanation:
[tex]-125 > -135[/tex]
Dividing both sides by -5
=> [tex]\frac{-125}{-5} < \frac{-135}{-5}[/tex]
=> [tex]25 < 27[/tex]
What is the area of the obtuse triangle below?
다
Evelyn flips three coins simultaneously. The theoretical probability that only two of the coins will turn up heads 3/8. If Evelyn flips the three coins simultaneously 200 times, how many times can she expect only two heads to turn up
Answer:
75
Step-by-step explanation:
200 ÷ 8 = 25
25 x 3 = 75
The number of times 2 coins will turn heads up is 75, the correct option is D.
What is Probability?Probability is the measure of the likeliness of an event to happen.
The probability has a range from 0 to 1, 0 denotes uncertainty and 1 indicates certainty.
When 3 coins are flipped, there is two probabilities,
The probability of getting a head or a tail is 1/2.
The probability that there will be 2 coins that will turn up heads is 3/8
Probability is defined as the ratio of favorable outcomes to total outcomes.
If Evelyn flips the three coins simultaneously 200 times, the number of times she can expect only two heads to turn up is given by,
= (3/8) * 200
= 75
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What is the value of f(6) in the function below?
f(x) = 2x
HELP ASAP PLS
Answer:
f(6) = 64
Step-by-step explanation:
f(x) = 2^x
Let x = 6
f(6) = 2^6
= 2*2*2*2*2*2
= 64
Answer:
B. 64
Step-by-step explanation:
[tex]f(x)=2^x[/tex]
Plug x as 6 and solve.
[tex]f(6)=2^{(6)}[/tex]
[tex]f(6)=2^6[/tex]
[tex]f(6)=2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]
[tex]f(6)=64[/tex]
what is the quadratic equation?
Honeydew lemons sell in a market place for $24.95 per box. One box contains 9 melons. How much would you have to pay for 17 melons?
Answer:
47.13 for 17 melons
Step-by-step explanation:
We can use a ratio to solve
24.95 x dollars
---------------- = ----------------
9 melons 17 melons
Using cross products
24.95 * 17 = 9x
Divide by 9
24.95 * 17/9 = x
47.127777777 = x
Rounding to the nearest cent
47.13 for 17 melons
Answer:
$47.12
Step-by-step explanation:
We know that 1 box has 9 lemons and each box is $24.95. Therefore, 1 lemon costs 24.95/9 dollars. That leads us to know that 17 lemons cost (24.95/9 * 17). Once we plug that into the calculator and round to the nearest hundreth place, we get $47.12.
Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. How many cards had he collected by week 9? 5 18 4 20 Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. How many cards had he collected by week 9? 5 18 4 20 Graph showing how many cards were collected each week. Vertical axis labeled Cards collected. Coordinate pairs plotted at 1,4, 2,6, 3,8, 4,9, 5,12, 6,13, 7,14, 8,15, 9,18, 10,20.
Answer:
20
Step-by-step explanation:
12/5 means roughly 2 cards per week
In 4 weeks he would get 8 additional cards
12+8=20
Hope this help!
Which interval would not be used for the stems of a stem-and-leaf plot? 10 100 1 5
Answer:
i think it's 100
Step-by-step explanation:
100 is the interval which would not be used for the stems of a stem-and-leaf plot.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
In a stem-and-leaf plot, the stem is typically the leftmost digits of a number and the leaf is the rightmost digit.
The stem represents the largest common place value of the numbers being plotted.
If the data set is {12, 15, 21, 26, 30, 31, 35, 38}, the stem would be the tens place and the leaf would be the ones place.
The stem values would be 1, 2, 3, and 4.
Therefore, the interval for the stems should be determined by the range of the data set.
Hence, 100 is the interval which would not be used for the stems of a stem-and-leaf plot.
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Is the graph increasing, decreasing, or constant?
A. Decreasing
B. Constant
C. Increasing
Answer:
A: the graph is decreasing
The graph is decreasing because the slope is negative. Then the correct option is A.
What is increasing and decreasing of function?If the value of y increases as the value of x increases, then increasing function.
And if the value of y decreases as the value of x increases, then decreasing function.
In the graph, as the value of x increases, the value of y decreases.
The graph is decreasing because the slope is negative.
Then the correct option is A.
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Maria is making a stained glass window using glass tiles. Each tile is 1/4 inch by 1/4 inch. The window is 14 inches wide by 20 inches long.. How many glass tiles will Maria need to make her stained glass window?
answer choices
4,480
2,240,
1,120
280
Answer:
4,480
Step-by-step explanation:
In the above question, we are told that the measurements of the stained glass windows Maria intends to make is 14 inches wide by 20 inches long.
Step 1
We find the area of the window
Length × Width ( Breadth)
= 20 × 14 = 280 square inches
Step 2
The tiles that she intends to use has the following measurements
1/4 inch by 1/4 inch
The Area of these glass tiles = 1/4 × 1/4 = 1/16 square inches.
Step 3
Finally to calculate the number of tiles that she would required to make the stained glass window =
Area of the window ÷ Area of the glass tiles
= 280 square inches ÷ 1/16 square inches
= 4,480
Therefore, Maria would be needing 4,480 glass tiles to make her stained glass window.
Question 6 Essay Worth 5 points)
(05.02) In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.
40
SO
Write and solve an equation to determine the measure of angle y.
I
The value of y will be 90°. The sum of angle of the two right angle is 180°. The property of the adjacent angle is used.
How can we find the solution to an equation?We do same operations on both the sides so that equality of both expressions doesn't get disturbed.
Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are an infinite number of solutions.
The angles subtended by a circle is 360°, then;
The equation is found as;
[tex]\rm 40^0+50^0+x+y+z=360^0 \\\\ x+y+z=270^0[/tex]
The sum of angle of the two right angle is 180°;
x°+40°+50°=180°
x=90°
y+50°+40°=180°
Y=90°
Hence, the value of y will be 90°.
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Help pleaseeeeeeeeeeeeee and write it descriptively
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 ).
Please help me with the question below
Answer: In the top box: S ≥ 2000 - (S + 178)
S ≥ 2000 - A A = S + 178 substituted for A in the first equation
The solution is S ≥ 911 and A ≥ 1089
Step-by-step explanation:
S ≥ 2000 - (S + 178)
S ≥ 2000 - S -178 Add S to both sides,
S + S ≥ 2000 -178
2S ≥ 1822
S ≥ 911 so A ≥ 911 + 178 A≥ 1089 (but the question shown doesn't ask that)
This means that if Shane collected at least 911 cans and Abha collected at least 1089, their total was at least 2000.
Gemma is creating a histogram based on the table below. Salary Range Number of People 0 - $19,999 40 $20,000 - $39,999 30 $40,000 - $59,999 35 Which scale can she use for the vertical axis such that the difference in the heights of the bars is maximized? 0–50 0–40 10–50 25–40
Answer:
Hello!
~~~~~~~~~~~~~~~~~~~~~
Your answer would be (D) 25–40
Step-by-step explanation: The largest amount od people is 40 the lowest amount is 35 so to maximize the bars you would want the smallest range.
Thus, (D) is the correct answer.
Answer:
Its D
Step-by-step explanation:
for all the ppl who don't care how they got it
Use the graph to approximate the ordered pair where the exponential function begins to exceed the quadratic function.
the graph of an exponential function f of x equals two and two tenths to the power of x minus 7 tenths and a quadratic function g of x equals one eighth times x squared plus 2 times x plus 8
Answer:
(4.462, 19.411)
Step-by-step explanation:
From the description, the functions are:
f(x) = (11/5)^(x - 7/10)
g(x) = 1/8x² + 2x + 8
(Notice that 2 2/10 is equivalent to 22/10 = 11/5)
In the picture attached, the plot of the functions is shown. The exponential is in red and the quadratic is in blue. The exponential function begins to exceed the quadratic function from point (4.462, 19.411)
It's B (3.5, 17)
I don't know how that other guy got that but for me it's (3.5, 17) since I got it right.
Find CE. Please explain step by step!
Answer:
30
Step-by-step explanation:
We know that BD = 20 + 5 = 25. Let's call the point where BD and CE intersect point A. Therefore, ΔBAC ≅ ΔBAE by HL (BC = BE = 25 because they are radii, BA and AB are congruent because of the reflexive property). We can use Pythagorean Theorem to find CA. We can write CA² + 20² = 25² so CA = 15 and since CA = AE = 15 and CE = CA + CE, CE = 15 + 15 = 30.
Answer:
Step-by-step explanation:
BE=BC=25 in
trg BCE isosceles so CE=2✓25^2-20^2
=2"✓625-400=2*✓225=2*15
CE=30
Can I pls have help with question 8 and 9
Answer:
2.88 kilometers
Step-by-step explanation:
8. If the round trip took 17/20 of an hour.
How long does it take in minutes?
1 hour=60 minutes
17/20*60
=17*3
=51 minutes
9. Calculate the distance between the supermarket and Hilary's house
Speed=distance/time
Distance=speed × time
Total speed=30km/h+12km/h
=42km/h
Total time=17/20 hour
Time spent for 30km/h=30/42*17/20
=510/840
=0.61h
Time spent for 12km/h=12/42*17/20
=204/840
=0.24h
Supermarket to Hilary's house=12km/h
Distance=speed × time
=12×0.24
=2.88 kilometers
which best describes the main source of energy in the united states
Answer: B) Culture B
Step-by-step explanation:
As culture B doubles every hour you would have over 2.6 million by hour 18, far, far more than culture A, which increases by 1.5x each hour, that would only become 1.4 million.
pls hurry the answer is not 36.......Given a * b=ba−ba+ab, find (2*3)×(3*2).
Answer:
36
Step-by-step explanation:
In the above question, we have been given a rule to follow
Given a * b = ba−ba+ab
We are to find (2*3)×(3*2)
Let simplify each bracket first
a * b = ba−ba+ab
2*3, a = 2, b = 3
2*3 = 3×2 - 3×2 + 2×3
= 6 - 6 + 6
= 6
a * b = ba−ba+ab
3*2, a = 3, b = 2
3*2 = 2×3 - 2×3 + 3×2
= 6 - 6 + 6
= 6
(2*3)×(3*2)
= 6 × 6
= 36
The answer is 36
12/ y + 8 = 4/9 Thats the question. Im dyin for help. :)
Answer:
-1 10/17
Step-by-step explanation:
Answer:
y = 1 10/17
Step-by-step explanation:
The LCD is 9y. Multiply all three terms by 9y:
(9y)(12) (9y)(4)
----------- + 8(9y) = -----------
y 9
This reduces to 108 + 72y = 4y, or 108 = -68y
Dividing both sides by 68, we get y = 1 10/17
Please help me I would appreciate it
Answer:
m<1= 50 degrees
m<2= 130 degrees
m<3= 50 degrees
m<4= 130 degrees
m<5= 40 degrees
m<6= 30 degrees
Step-by-step explanation:
All of the angles of triangles equal to 180 degrees, so you can solve all of the angles based on that info :)