It's not clear what is under the square root. Is it solely the x only?
In other words, is the equation this: [tex]y = \sqrt{x}+5[/tex] ?
If so, then the range is y≥5 because y = 5 is the smallest possible output. In other words, we can have y = 5 or y > 5. I recommend using a tool like Desmos to graph and verify.
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OR is the +5 also under the square root?
Is the equation this? [tex]y = \sqrt{x+5}[/tex]
If so, then the range would be y≥0
The smallest output possible of a square root function is 0. We cannot get negative outputs. This explains how y = 0 is the smallest output. So y = 0 or y > 0, or in short, y≥0
The solution is, the range of the function y=√x+5 is y∈(∞,∞) is Range, from the given options y≥0.
What is range ?The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
here, we have,
we know that,
Range of a function is defined as those values of y, for which x is Defined.
The given function is
y=√x+5
Squaring both sides
we get,
y² = x+5
or, x = y²- 5
x is defined for ,all Real values of y.
For any real y,we get defined value of x.
That is , y ∈ R
→→y∈(-∞,∞)⇒Range
Hence, The solution is, the range of the function y=√x+5 is y∈(∞,∞) is Range, from the given options y≥0.
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What is the solution to the inequality |3x – 12| ≥ 6?
A.) –6 < x < 18
B.) 2 < x < 6
C.) x < –6 or x > 18
D.) x ≤ 2 or x ≥ 6
Answer:
D
Step-by-step explanation:
|3x – 12| ≥ 6 put it into 2 cases
3x - 12 ≥ 6 or 3x - 12 ≤ -6
3x ≥ 18 or 3x ≤ 6
x ≥ 6 or x ≤ 2
Points B, D, and F are midpoints of the sides of triangle ACE. EC = 39 and DF = 23. Find AC. The diagram is not to scale.
Answer:
46
Step-by-step explanation:
The midsegment DF has half the length of the side AC it is parallel to.
__
AC = 2×DF = 2×23
AC = 46
Expand and Simplify Fully
5(2k+2)+3(K-5)
Answer:
[tex]13k - 5[/tex]
Step-by-step explanation:
[tex]5(2k + 2) + 3(k - 5) = 10k + 10 + 3k - 15 \\ = 13k - 5[/tex]
Find the equivalent expression using distributive property.
Answer:
C
Step-by-step explanation:
[tex]3(7x-8)\\\\=3(7x)-3(8)\\\\=21x-24[/tex]
Can someone please help me with this last question? Thankyou in advance!
Step-by-step explanation:
so your points are going to be as follows, starting with the left-most point.
(-1, 7)
(0, 4)
(1, 3) [this is the vertex]
(2, 4)
(3, 7)
Answer:
attached image
Step-by-step explanation:
Reference function:
y = x^2
Translated function:
y = a(x - h)^2 + k
k is vertical translation (up if positive or down if negative)
3 in your formula so it move up 3
h is horizontal translation (left if positive or right if negative)
1 in your formula so shifted 1 to the right horizontal translation
a is the vertical scaling
it can be either compressed (more narrow) or streched (wider)
a < 0 the graph is either stretched or compressed and also reflected about the x -axis
none in your formula
I’m stuck on this question. Help please
Answer:
Salt: 1, 2, 4
Pepper: 1/2, 1, 2
Garlic Powder: 1/4, 1/2, 1
Onion Powder: 1/4, 1/2, 1
Step-by-step explanation:
The batches are doubling each time.
3.) Sanaa played a trivia game. Each correct answer is worth 24 points, and
each incorrect answer is worth- 1points. She got 15 answers correct and
got 15 incorrect answers. What was Saniyah's score?
Answer:
one correct answer =24pts
therefore, 15 correct answers = 24 × 15 = 360pts
one incorrect answer = 1pts
so, 15 incorrect answers = 1 × 15 = 15pts
Saniyah's score = 360 - 15 = 345pts
The average temperature at the North Pole is – 26˚ F. The average temperature on the Equator is 92˚ F. How much warmer is the average temperature on the Equator than at the North Pole?
Pls help me! Will give brainest to whoever is correct
Answer:
When x= 3,
2x => 6
5x+ 1 => 16
According to the pythagorus theorem,
hypotenus²= base² + height²
hypotenus²= 6² + 16²
hypotenus = √ 292 = 17.1
answer option no. 3
Answer:
2. 17.1 units
Step-by-step explanation:
x=3
2 x 3=6
5 x 3 + 1=16
6² + 16²=c²
36 + 256=c²
292=c²
[tex]\sqrt{292}[/tex]=17.0880075
c=17.1
The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?
Answer:
y=2x
Step-by-step explanation:
[tex]how do u find the reciprical of 9/13[/tex]
Answer:
flip it around 9/13 reciprocal would be 13/9
The pathway of Sam's dive into
the swimming pool can be
represented by the equation
h = -16t2 + 15t + 12
(where t = time in seconds and
h = height in feet)
What is Sam's height
after 1 second?
M
The Sam's height after 1 second, form the equation of pathway of Sam's dive into the swimming pool is 11 feet.
What is the equation of motion?
The equation of motion is the relation between the distance, velocity, acceleration and time of a moving body.
The pathway of Sam's dive into the swimming pool can be represented by the equation,
[tex]h = -16t^2 + 15t + 12[/tex]
(where t = time in seconds and h = height in feet)
The Sam's height after 1 second is,
[tex]h = -16t^2 + 15t + 12\\h = -16(1)^2 + 15(1) + 12\\h=-16+15+12\\h=11\rm\; ft[/tex]
Thus, the Sam's height after 1 second, form the equation of pathway of Sam's dive into the swimming pool is 11 feet.
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ZA and ZB are vertical angles. If mZA= (2x + 26)° and mZB = (3x + 21)',
then find the measure of ZB.
Answer:
m<ZB is 36 degrees
Step-by-step explanation:
Since they are vertical angles, they are congruent. U set up the equation like this “2x+26=3x+21” and solve for x
subtract 2x from both sides and you’ll get “26=x+21”
subract 21 from both sides and you’ll get “5=x”
now we substitute x for 5!
3(5)+21=
15+21=
36
So m<ZB is 36 degrees!
ur welcome :)
hope i helped
brainliest please?
Pls help me!!!!!!!!!!!
Angle 1 and angle 4 are corresponding angles, meaning that they are in the same relative position on their line.
Corresponding angles are congruent, which means angles 1 and 4 are congruent (equal to each other).
Angle 1 = Angle 4
74 = 3x - 18
92 = 3x
x = [tex]30 \frac{2}{3}[/tex]
---Rounded to the nearest tenth: 30.7
---Rounded to the nearest hundredth: 30.67
---Rounded to the nearest thousandth: 30.667
Hope this helps!
Answer:
Step-by-step explanation:
3x - 18 = 74
3x = 92
x ≈ 30 2/3
Help
A. What is the slope of the line? Show your work.
B. What is the y intercept of the line?
C. What is the slope intercept form of the equation of the line?
D what is he standard form of the equation of the line?
Answer:
Hi!
The slope of the line is marked as rise over run and in slope intercept form it is mx. We can tell from the way the line is slanting that it is a positive slope. It goes up 1, over 6. So therefore, the slope is 1/6.
The y intercept of the line is -4, which we know because that is where the line and the y axis meet. The y intercept is b in slope intercept form.
The slope intercept form is y = 1/6x -4.
For standard form, we subtract 1/6x from both sides to get
-1/6x + y = -4
Hope this helps!
Step-by-step explanation:
What is the coefficient in the mathematical expression?
7m squared2 +2(19)
7
19
2
m
Using it's concept, it is found that the coefficient of the mathematical expression 7m² + 2(19) is of 7.
What is the leading coefficient of a polynomial?The leading coefficient of a polynomial is the term that multiplies the highest exponent.
In this problem, the expression is given by:
7m² + 19.
The highest exponent is of 2, in m², hence the leading coefficient is of 7.
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[tex]\sqrt{x - 242} =33[/tex
Please answer.
Answer:
x = 1331
Step-by-step explanation:
Squaring both sides :
[tex](\sqrt{x-242})^{2} = 33^{2}[/tex]x - 242 = 1089x = 1089 + 242x = 1331can you help me please I pay you £50
Answer:
(-3,4), (-3,1), and (-5,1)
What is the most precise classification for the quadrilateral shown in the graph below?
Answer:
parallelogram
Step-by-step explanation:
Quadrilateral with two pairs of parallel sides of equal length that is not a sqaure = parallelogram
Bryan interviewed 24 students to see whether they collected sports cards and whether they participated in sports. The table shows his data. How many of the students interviewed do not collect sports cards?
For which values of a and b is the following statement not true?
Answer:
Choice D is the answer
Step-by-step explanation:
| 7 | - | 2 | = -5
7 - 2 ≠ -5
Hope this helps
Last week Lisa ran 34 miles. less than
Shanice. Lisa ran 8 miles.. How many
miles did Shanice run?
Answer:
Shanice ran 42 miles.
Step-by-step explanation:
Djthr value of an 8 in the ten millions place is what fraction of the value of an 8 in the hundred millions place
Answer:
1/125,000
Step-by-step explanation:
8/1,000,000 =
4/500,000 =
2/250,000 =
1/125,000 =
0.000008 (just in case)
Every week a company provides fruit for its office employees. They can
choose from among five kinds of fruit. Which probabilities correctly complete
this probability distribution for the 50 pieces of fruit, in the order listed?
Fruit
Apples Bananas Lemons Oranges Pears
Number of pieces
10
15
6
14
5
Probability
A. Probability 0.16 0.2 0.1 0.3 0.24
OB. Probability 0.2 0.3 0.12 0.28 0.1
Answer:
B
Step-by-step explanation:
Probability of apple :
No. of apple / No. of fruits10/500.2Probability of banana :
No. of banana / No. of fruits15/500.3Probability of lemon :
No. of lemon / No. of fruits6/500.12Probability of orange :
No. of orange / No. of fruits14/500.28Probability of pear :
No. of pear / No. of fruits5/500.1The correct probability distribution for the 50 pieces of fruit, in the order listed is shown in option B. 0.2 0.3 0.12 0.28 0.1
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Total pieces of fruits = 50 pieces
Number of apple pieces = 10
Probability of apple pieces from the whole pieces = 10/50 = 0.2
Number of banana pieces = 15
Probability of banana pieces from the whole pieces = 15/50 = 0.3
Number of lemon pieces = 6
Probability of lemon pieces from the whole pieces = 6/50 = 0.12
Number of orange pieces = 14
Probability of orange pieces from the whole pieces = 14/50 = 0.28
Number of pear pieces = 5
Probability of pear pieces from the whole pieces = 5/50 = 0.1
Hence the correct probability are B. Probability 0.2 0.3 0.12 0.28 0.1.
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What is the radius and diameter of the following circle?
16 cm
Radius =
cm
Diameter =
cm
Answer:
Alright so there are two ways
Step-by-step explanation:
If your radius is 16cm, then the diameter equals 32cm
If your diameter is 16cm, then your radius equals 8cm
There are 26 tiles in a bag. Of these, 15 are purple, and the rest are yellow. What are the odds in favor of drawing a yellow tile?
Answer:
A
Step-by-step explanation:
because 26-15=11. Then 11:26! Hope I helped:)
The odds in favor of drawing a yellow tile is 11/26
What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in to predict how likely events are to happen.
Total tiles 26 in a bag
purple tiles = 15
yellow tiles= 26-15
= 11 tiles
So, the odds in favor of drawing a yellow tile is 11/26.
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Find the surface area of the figure.
8 ft
6 ft
6 ft
Answer:
4.5 step by step
Step-by-step explanation:
6 × 6 = 36 ÷ 8 = 4.5
Consider the squares shown. Square P has a side length of 12 centimeters. Square Q has a side length 25% smaller than Square determine the area of both sides. what is the precent decrease in area P to area Q 40 points exra for correct answer
Answer:
Decrease of 43.75% in area
Step-by-step explanation:
Finding Side Length of Q :
⇒ Side Length P (100% - 25%)
⇒ 75 % x Side Length O
⇒ 0.75 x 12 cm
⇒ 9 cm
Area of Squares P and Q :
⇒ Area (Square P) = (12)²
⇒ Area (Square P) = 144 cm²
⇒ Area (Square Q) = (9)²
⇒ Area (Square Q) = 81 cm²
% Decrease :
⇒ New - Original / New
⇒ 81 - 144 / 144
⇒ -63/144
⇒ -21/48
⇒ -7/16
⇒ -0.4375
⇒ Decrease of 43.75% in area
Select the correct answer.
E
5
D
с
A
00
B
דן
F
-2.
2.
3
Which points define the solution set of this linear-quadratic system of equations?
A point A and point B
B. point D and point F
Cpoint C and point E
D. point B and point D
Which of the shapes described below have an area of 24
square feet?
Answer:
B, C, and D
Step-by-step explanation:
Hey there!
In order to find if the area of these shapes are 24, we need to first find the area
A. Triangle: Base of 8 feet, Height of 3 feet
Formula for area of triangle: Base x height x 1/2
8 x 3 x 1/2 --> 24 x 1/2 --> 12
Not an answer
B. Rectangle: Width of 4 feet, Length of 6 feet
Formula for area of rectangle: Length x width
4 x 6 --> 24
It is an answer
C. Parallelogram: Base of 12 feet, Height of 2 feet
Formula for area of Parallelogram: Base x height
12 x 2 --> 24
It is an answer
D. Triangle: Base of 6 feet, height of 8 feet
Formula for area of triangle: Base x height x 1/2
6 x 8 x 1/2 --> 48 x 1/2 --> 24
It is an answer
In conclusion, the statements that make this rule true are:
B, C, and D
