Answers
[tex]option \: a \: is \: the \: right \: answer \\ y = \sqrt{x} - 5 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
The range of function y=√x+5 is -4.
What is Domain and Range?A function's range refers to all of the potential values for y.
The formula for determining a function's range is y = f (x). If every x value corresponds to only one y value, the relation is only a function.
As, we know that the Domain is the input values and Range is the output values.
Now, we have range is -4.
First, -4 = √x - 5
-4 + 5 = √x
√x = 1
x = ±1
Second, -4 = √x+ 5
-4 -5 = √x
√x = -9
x = 81
Third, -4 = √(x + 5)
16 = x+ 5
x = 11
Fourth, -4 = √(x -5)
16 = x - 5
x = 21
So, the range of function y=√x+5 is -4.
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Related Questions
Could someone explain why (-4)² is equal to 16 but -4² is equal to -16
Answers
Answer:
It's all about the brackets.
Step-by-step explanation:
If we do (-4)^2, the brackets make it -4 x -4 and the two negatives make a positive of 16.
If we do -4^2, that means that the 4 is squared before putting the minus sign there so you have 4x4 = 16 then put the minus to get -16.
Hope this helps!
treviglaslibrary
Answer:
4^2= 16
Step-by-step explanation:
This is because when you square something your are multiplying that number by itself. So in this case you must multiply 4 x 4 which is sixteen. Another example of this is 3^2 which is 9. In this case you must multiply 3 x 3 which is nine.
The picture is up there (thank you!)
Answers
Answer:
$7.52
Step-by-step explanation:
It adds 0.34 dollars every month...
Hope this helps (:
What is the gradient of the blue line?
Answers
The gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.
What is the gradient of a line?The gradient of a line is the difference in the height of the y coordinates and the difference in the width of the coordinates. It can be calculated with the following formula.
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Here, (x1,y1) and (x2,y2) are the coordinates of two points lies on the line.
In the given graph, the blue line passes through the point (3,0) and the form the point (-1,2). Thus, the gradient of the line is,
[tex]m=\dfrac{2-0}{-1-3}\\m=\dfrac{2}{-4}\\m=-\dfrac{1}{2}[/tex]
Thus, the gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.
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Help please somebody
Answers
Answer:
10n + 4
Step-by-step explanation:
$10 * n games + $4 since $10 per game + the flat rate
Answer:
4n+10
Step-by-step explanation:
[tex]18-\sqrt{} -25[/tex]
Answers
Answer:
-(i×5) + 18
Step-by-step explanation:
Simplify the following:
-sqrt(-25) + 18
sqrt(-25) = sqrt(-1) sqrt(25) = i sqrt(25):
18 - i sqrt(25)
sqrt(25) = sqrt(5^2) = 5:
Answer: -(i×5) + 18
In a right triangle, Sin (30 + x) º = Cos (3x) º. What is the value of x?
Answers
Answer:
[tex]x=15^\circ[/tex]
Step-by-step explanation:
In a right triangle:
[tex]\sin \theta =cos(90^\circ-\theta) $ (Complementary angles)[/tex]
Therefore, given:
[tex]Sin (30 + x) \º = Cos (3x) \º\\30+x+3x=90^\circ\\30+4x=90^\circ\\4x=90^\circ-30^\circ\\4x=60^\circ\\$Divide both sides by 4\\x=15^\circ[/tex]
At Work-It-Out, a gym membership is $50 per month with no registration fee. At Get Fit, the registration fee is $100 and membership costs $30 per month. Which equation could be used to find the number of months, m, for which the total cost of both gyms is the same? 100+30m=50m 50m=30+100m 100+50m=30m 50m=100−30m
Answers
Answer:
Step-by-step explanation:
50x=30x+100
The equation is 100 + 30m = 50m and the no. of months for which total cost of both the gyms will be same is 5 months.
What is a linear equation ?A linear equation is an algebraic equation in which a variable has a highest degree of 1.
According to the given question At Work-It-Out, a gym membership is $50 per month with no registration fee and At Get Fit, the registration fee is $100 and membership costs $30 per month.
Given no. of months is m.
∴ 50m = 30m + 100
50m - 30m = 100.
20m = 100
m = 5.
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The sum of 2 numbers is 24. One number is equal to four times the second number added by 4. Determine the two numbers.
Answers
Answer: smaller number is 4, bigger number is 20
Step-by-step explanation:
24 - 4 = 20
4 * 4 = 16
20 - 16 = 4
Answer:
4 and 20.
Step-by-step explanation:
The deepest part of the Mariana trench (the deepest trench in the world’s oceans) is at an elevation of -11.033 kilometers. The elevation of the deepest part of the Atacama trench is -8.065 kilometers. What is the net change in elevation from the Atacama trench to the Mariana trench?
Answers
Answer:
The answer is -2.968
Step-by-step explanation:
I took the test and got it right unlike the other person who got it wrong for me.
Simplify the following 2a + 3b + 4a – 7b
Answers
You would take 2a and add 4a to it which will give you 6a. Then you will take -7b and add 3b to it. I usually just subtract when the bigger number is a negative. Once you do that though you will get -4b. Finally your answer will be 6a -7b
Answer:2a
We add 2 and 3 and we get 5 then we do 4-7=-3. Then we do 5-3=2 and we add a.(we only add all a’s when we multiply)
And the answer is 2a
Find the coordinates of a point that divides the directed line segment XY in the ratio 2:6. answers: A) (3, 5) B) (–1, –3) C) (0, –1) D) (–2, –5)
Answers
Answer:
Option D.
Step-by-step explanation:
Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).
Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.
Therefore, x = [tex]\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}[/tex]
= -[tex]\frac{16}{8}[/tex]
= -2
and y = [tex]\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}[/tex]
= [tex]-\frac{40}{8}[/tex]
= -5
Therefore, the point (x, y) is (-2, -5).
Option D. will be the answer.
5. Kalen is trying to find the average of three measurements. The measurements are 13.8, 15.64, and 22.51. He adds the
numbers and divides by three. The result on the calculator shows 17.3167. Where should Kalen round? Explain.
Answers
Answer:
Since the first number after the decimal is lower than 5, you would need to round down. So the answer would be 17(not 18).
Step-by-step explanation:
The equation d = 3sin (16t) measures the displacement of a swinging object in simple harmonic motion.
t is measured in
seconds and d is measured in inches.
What is the displacement to the nearest inch, when t = 10? NOTE: The angle is in
radians.
Provide your answer:
d=
inches
Answers
Answer:thats hard
Step-by-step explanation:
what is the value for Z
Answers
Answer: z = 28 degrees
Step-by-step explanation:
Since this is an isosceles triangle, two of the angles are congruent.
180 - 124 = 56
56/2 = 28
answer please need help and is struggling
Answers
Answer:
q < 5
Step-by-step explanation:
Since there is an open circle it means there is no equal sign
The line goes to the left so it is less then q < 5
Answer:
q<5
Step-by-step explanation:
The sign is < because the arrow is point left and has an open circle. 5 because that is where the arrow starts.
Is (1, 4) a solution to the equation y = 7x?
Answers
Answer:
not a solution
Step-by-step explanation:
Substitute the point into the equation and see if it is true
y = 7x
4 = 7*1
4 = 7
This is not true so it is not a solution
Please answer the attachment below and say which number goes in the first or second, etc.
Answers
Answer:
use calculator
Step-by-step explanation:
1/500=0.002
3 2/25=308%
2.6=2 6/10
0.25%=0.0025
Answer:
They are actually in the correct order left to right !
Step-by-step explanation:
1/500 is 0.002 because 0.002 is pronounced "two thousandths" and 0.001 is pronounced "one thousandth", but it's written as 0.001 OR the fraction 1/1000! Using this you can infer that "two thousandths" is twice as large as 1/1000.
1/25 is 0.04, so 2/25 is 0.08 add the 3 and get 3.08. When displayed percentages in decimal form 100% = 1, so 300% = 3, therefore 308% = 3.08.
In the number 2.6 the decimal .6 is in the TENTHS place and so you can formally say this as "two and six tenths", which how the fraction 2 6/10 is also said!
As stated above when displaying percentages in decimal form:
100% = 1,
25% = 0.25,
1% = 0.01,
0.25% = 0.0025!
In the diagram shown,
ABCE is a trapezium,
AD is parallel to BC,
DE = 4cm,
Area of ABCE = 60cm^2,
Area of ABCD = 48cm^2,
Work out the values of f and g.
You must show all your working.
Answers
The values of f and g are;
f = 6
f = 6g = 8
We are given the trapezium ABCE where;
AD is parallel to BC
DE = 4 cm
Area of ABCE = 60 cm²
Area of ABCD = 48 cm²
f and g are sides of the rectangle ABCD. Thus;
fg = 48 - - - (eq 1)
Also,for the trapezium ABCE;
½(g + g + 4)f = 60
(2g + 4)f = 120 - - - (eq 2)
From eq 1, f = 48/g
Thus;
(2g + 4) × (48/g) = 120
96 + 192/g = 120
192/g = 120 - 96
192/g = 24
g = 192/24
g = 8
Thus;
8f = 48
f = 48/8
f = 6
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Factor the perfect square trinomial x2 - 12x + 36.
Answers
Answer:
(x - 6)(x - 6)
Step-by-step explanation:
-6 + -6 = -12
-6 * -6 = 36
meaning -6 in in both
if you want to find x
x = 6
Answer:
6
Step-by-step explanation:
x2-12x+36=0
find a two numbers that add to -12 and multiply to 36
-6 and -6
(x-6)(x-6)=0
x-6=0 x-6=0
x=6 x=6
Given the objective function C=3x−2y and constraints x≥0, y≥0, 2x+y≤10, 3x+2y≤18, identify the corner point at which the maximum value of C occurs.
Answers
Answer:
Step-by-step explanation:
Find the maximum value of
C = 3x -2y Objective function
subject to the following constraints.
Constraints
x ≥ 0
y ≥ 0
2x + y ≤ 10 vertex 1 : when x=0 then y=10 (0,10)
3x + 2y ≤ 18 vertex 2 : y=0, then x=6 ( 6,0)
two equations together to determine vertex 3 :
3x+2y = 18
2x+y = 10
x=2, y= 6
The feasible region determined by the constraints is
shown. The three vertices are (0, 10), and (6, 0), (0,9)
and (2,6)
First evaluate C = 3x -2 y at each of the vertices.
At (0, 10): C = 3(0) - 2(10) = -17
At (6, 0): C = 3(6) - 2(0) = 18
At ( 2,6) : C = 3(2) -2(6) = -6
At (0,9) : C = 3(0)-2(9)= -18
the maximum value occur on 18 when x=9 and y=0
Given the objective function is [tex]C=3x-2y[/tex] and the contraints as follows:
[tex]x\geq 0\\ y\geq 0\\ 2x+y\leq 10\\ 3x+2y\leq 18[/tex]
Find the intersecting point of [tex]x=0[/tex] and [tex]2x+y=10[/tex].Substitute 0 for [tex]x[/tex] in [tex]2x+y=10[/tex].
[tex]2(0)+y=10\\ y=10[/tex]
So, the intersecting point is [tex](0,10)[/tex].
Find the intersecting point of [tex]y=0[/tex] and [tex]2x+y=10[/tex].Substitute 0 for [tex]y[/tex] in [tex]2x+y=10[/tex].
[tex]2x+0=10\\ 2x=10\\ x=5[/tex]
So, the intersecting point is [tex](5,0)[/tex].
Find the intersecting point of [tex]x=0[/tex] and [tex]3x+2y=18[/tex].Substitute 0 for [tex]x[/tex] in [tex]3x+2y=18[/tex].
[tex]3(0)+2y=18\\ 2y=18\\ y=9[/tex]
So, the intersecting point is [tex](0,9)[/tex].
Find the intersecting point of [tex]y=0[/tex] and [tex]3x+2y=18[/tex].Substitute 0 for [tex]y[/tex] in [tex]3x+2y=18[/tex].
[tex]3x+2(0)=18\\ 3x=18\\ x=6[/tex]
So, the intersecting point is [tex](6,0)[/tex].
Find the intesecting point of [tex]2x+y=10,3x+2y=18[/tex].Add [tex]-2[/tex] times [tex]2x+y=10[/tex] to [tex]3x+2y=18[/tex].
[tex]-2(2x+y)+3x+2y=-2(10)+18\\ -4x-2y+3x+2y=-20+18\\ -x=-2\\ x=2[/tex]
Substitute [tex]x=2[/tex] in [tex]2x+y=10[/tex]:
[tex]2(2)+y=10\\ 4+y=10\\y=6[/tex]
So, the intersecting point is [tex](2,6)[/tex].
The origin [tex](0,0)[/tex] is also a intersecting point of [tex]x\geq 0,y\geq 0[/tex].Corner points:
The corner points are the boundary points of the bounded region of the given constraints.
The bounded region of the given constraints is shown below.
From the graph notice that the shaded region is the required bounded region of the given constraints.The boundary points are [tex](0,0),(5,0),(0,9),(2,6)[/tex].Evaluate the objective function [tex]C=3x-2y[/tex]at these boundary points:
At [tex](0,0)[/tex]:
[tex]C=3(0)-2(0)\\C=0[/tex]
At [tex](5,0)[/tex]:
[tex]C=3(5)-2(0)\\C=15[/tex]
At[tex](0,9)[/tex]:
[tex]C=3(0)-2(9)\\C=-18[/tex]
At[tex](2,6)[/tex]:
[tex]C=3(2)-2(6)\\C=6-12\\C=-6[/tex]
From the above calculated values, one can notice that the maximum value of [tex]C[/tex] is 15 and it is obtained at [tex](5,0)[/tex].
Hence, the maximum value of [tex]C[/tex] is 15 occurs at the corner point [tex](5,0)[/tex].
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Picture 1: What is the value of x in this circle?
Picture 2: What is the degree measure of arc HG?
Answers
Answer:
Picture 1 x = 43°
Step-by-step explanation:
Picture 1 - When a triangle is formed inside a semicircle, two lines from either side of the diameter meet at a point on the circumference at a right angle.
180 - 47-90= 43° = x
What is the length of the arc that measures 60° for the given circle?
A)
5π
2
cm
B)
5π
3
cm
C)
10π
3
cm
D)
10π
9
cm
It also says the radius is 10
Answers
Could you show the given circle please?
Answer: The answer is C.
Step-by-step explanation: I just did it
Find the coordinate of point X inside segment BE that is 1/2 (half) the
distance from B to E.
2
Answers
Answer:
Point D
Step-by-step explanation:
Half the distance between B and E is at -4. Point D is at -4, so point X is at point D.
Thomas has two kittens. He records the
mass of one kitten as 2.2 kilograms and
the mass of the other kitten as 1,890 grams.
What is the total mass of the two kittens
in kilograms? (1 kilogram 1,000 grams)
Answers
Answer:
4.09
Step-by-step explanation:
Answer:
4.09
Step-by-step explanation:
change 1890 to kilograms
1890/1000= 1.89
add both weight = 1.89+2.2
4.09
Find the distance between two points (6,−4) and (−4,−4).
Answers
Answer:
Step-by-step explanation:
(6, -4) ; (-4,-4)
[tex]Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1}^{2})}\\\\ =\sqrt{(-4-6)^{2}+(-4-[-4])^{2}} \\\\=\sqrt{(-10)^{2}+(-4+4)^{2}} \\\\=\sqrt{100+0}\\\\ =\sqrt{100}\\\\[/tex]
= 10 units
Positive numbers have negative square roots.
O A. True
B. False
Answers
Answer:
false
Step-by-step explanation:
Answer: A. True because multiplying a negative number by a negative number gives you positive.
Step-by-step explanation:
Kennedy can type 150 words in 2 minutes. How many words per minute can Kennedy type?
words per minute
Answers
Answer:
75
Step-by-step explanation:
Answer:
75wpm
Step-by-step explanation:
150 ÷ 2 = 75
75 wpm
Which equation represents the graphed function?
HELP ASAP
Answers
Answer:
The answer is A.
Step-by-step explanation:
Since the graph is a downward slope, we want to make the 'x' variable a negative. If we pretend that the graph goes up, then it goes up once, being the denominator, and right three times, before being the numerator. This gives you 3/1, which simplifies to 3. The Y intercept where the graph crosses the Y axis is 0,3, which since 3 is the Y variable, that's what we're going with. Henceforth, A is your answer.
another one! what is 7x-8x=23? will mark brainliest!
Answers
Answer:
7x-8x=23
-1x=23
x=-23
Step-by-step explanation:
7x - 8x = 23
-x = 23
x = -23
......
The sum of two numbers is 58. Their difference is 12. Find the numbers.
