This graph represents the equation y=(x-5)^2-1 .
How many ordered pairs (x, y) for 3 < x < 7 satisfy this equation?
Answers
There are 3 ordered pairs (x, y) that satisfy the equation y=(x-5)^2-1.
To find the ordered pairs (x, y) for 3 < x < 7 that satisfy the equation y=(x-5)^2-1, follow these steps:
Step 1: Set the range of x values: 3 < x < 7
Step 2: Plug in each whole number value of x within the given range (4, 5, and 6) into the equation and calculate the corresponding y values.
For x = 4:
y = (4 - 5)^2 - 1
y = (-1)^2 - 1
y = 0
For x = 5:
y = (5 - 5)^2 - 1
y = (0)^2 - 1
y = -1
For x = 6:
y = (6 - 5)^2 - 1
y = (1)^2 - 1
y = 0
Step 3: Write the ordered pairs (x, y) based on the calculated y values.
For x = 4, the ordered pair is (4, 0)
For x = 5, the ordered pair is (5, -1)
For x = 6, the ordered pair is (6, 0)
In the given range, there are 3 ordered pairs (x, y) that satisfy the equation y=(x-5)^2-1.
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Related Questions
A hunter walks 400 up a hill which slopes at an angle of 20degree to the horizontal. Calculate correct to the nearest meter;the (a) horizontal distance covered (b)vertical height through which he rises
Answers
Answer:
horizontal distance = 376 meters
vertical height = 137 meters
Step-by-step explanation:
We can visualize the vertical height(v), horizontal distance (h) and the distance on the hill (400 m) as a right triangle with the angle 20° being the angle between the hill slope and the horizontal distance
The angle between the vertical and horizontal distances is a right angle 90°
The other angle between the vertical distance and the hill slope = 90 - 20 = 70°
By the law of sines
\(\dfrac{h}{\sin 70} = \dfrac{v}{\sin 20} = \dfrac{400}{\sin 90}\\\\\\\text{Since $\sin 90 = 1 $ the above relation becomes:}\\\\\dfrac{h}{\sin 70} = \dfrac{v}{\sin 20} = 400\\\\\)
Breaking this into two parts we get
\(\dfrac{h}{\sin 70} = 400\\\\h = 400 (\sin 70) = 375.87704\dots\;meters\\\\\text{and }\\\\\dfrac{v}{\sin 20} = 400\\\\v = 400(\sin 20) = 136.80805 \dots \;meters\)
Rounding to the nearest meter we get
horizontal distance = 376 meters
vertical height = 137 meters
-1 - ( -2 ) = Can you help me with this question :)
Answers
Answer:
-1 - ( -2 ) = 1
Step-by-step explanation:
the record for the largest glass bottle was set in 1992 by a team in millville, new jersey—they blew a bottle with a volume of 193 u.s. fluid gallons.
Answers
The largest glass bottle on record was blown in 1992 by a team in Millville, New Jersey, with a volume of 193 U.S. fluid gallons.
The information provided states that the largest glass bottle ever made had a volume of 193 U.S. fluid gallons and was created in 1992 by a team in Millville, New Jersey. This indicates that, as of 1992, no other known glass bottle had surpassed the size of this particular bottle.
The fact that this record-setting bottle was blown in 1992 suggests that, up until that point, no larger glass bottle had been successfully created. It signifies that the team in Millville, New Jersey, achieved a milestone in glassblowing by producing a bottle with a volume of 193 U.S. fluid gallons, surpassing any previous records or known instances of such a large glass container. The mention of this specific record serves as a historical reference point for the largest glass bottle ever made.
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Find two ratios that are equivalent to15/60
Answers
The two equivalent ratios of 15 / 60 are 30/120 and 45 / 180.
What is a ratio?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
The given fraction or ratio is 15 / 60. The equivalent ratio to the 15 / 60 will be written as:-
15 / 60 = 15 x 2 / 60 x 2
15 / 60 = 30 / 120
Multiply the numerator and the denominator by the same number.
15 / 60 = 15 x 3 / 60 x 3
15 / 60 = 45 / 180
Therefore, the two equivalent ratios of 15 / 60 are 30/120 and 45 / 180.
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Solve the equation. Enter your answer in the box. 42 = y + 15
Answers
Answer:
y=27
Step-by-step explanation:
Simplifying
42 = y + 15
Reorder the terms:
42 = 15 + y
Solving
42 = 15 + y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-1y' to each side of the equation.
42 + -1y = 15 + y + -1y
Combine like terms: y + -1y = 0
42 + -1y = 15 + 0
42 + -1y = 15
Add '-42' to each side of the equation.
42 + -42 + -1y = 15 + -42
Combine like terms: 42 + -42 = 0
0 + -1y = 15 + -42
-1y = 15 + -42
Combine like terms: 15 + -42 = -27
-1y = -27
Divide each side by '-1'.
y = 27
Simplifying
y = 27
Answer:
27
Step-by-step explanation:
Identify the explanatory variable and the response variable. A farmer wants to determine if the temperature received by similar crops can be used to predict the harvest of the crop. The explanatory variable is the ▼ (harvest of the crop, farmer, temperature) .The response variable is the ▼ (farmer ,harvest of the crop ,temperature)
Answers
The explanatory variable is temperature, as the farmer wants to use it to predict the harvest of similar crops.
The response variable is the harvest of the crop, as this is the variable that is being predicted by the temperature. In this scenario, the explanatory variable is the temperature, as it is being used to predict the outcome. The response variable is the harvest of the crop, as it is the outcome that the farmer wants to understand based on the explanatory variable. Your answer: The explanatory variable is the temperature. The response variable is the harvest of the crop.
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the sales tax for an item was $7.80 and it cost $390 before tax. find the sales tax rate. write your answer as a percentage.
Answers
$390 represent 100%. To find what percentage $7.80 represent, we can use the next proportion:
\(\frac{390\text{ \$}}{7\text{.8 \$}}=\frac{100\text{ \%}}{x\text{ \%}}\)Solving for x,
\(\begin{gathered} 390\cdot x=100\cdot7.8 \\ x=\frac{780}{390} \\ x=2\text{ \%} \end{gathered}\)The sales tax rate is 2%
what is the length of the hypotenuse if it's 8m and 15m?
Answers
In this case the answer is very simple. .
Step 01:
Data
side a = 8m
side b = 15m
c = hypotenuse = ?
Step 02:
Pythagoras Theorem Formula
Hypotenuse² = Perpendicular² + Base²
c² = a² + b²
c ² = (8m)² + (15m)²
c ² = 64m² + 225m²
c ² = 289m²
\(undefined\)Find the Length of the mi dsegment of the trapezoid. A. 42
b. 12. 5
c. 38. 5
d. 51. 5
Answers
The length of the midsegment of the trapezoid is 38.5. The midsegment is the line segment that connects the midpoints of the two parallel sides of the trapezoid. It divides the trapezoid into two congruent triangles.
To find the length of the midsegment of the trapezoid, we need to first find the midpoint of the two parallel sides of the trapezoid. To do so, we need to use the midpoint formula, which is (x1 + x2) ÷ 2, (y1 + y2) ÷ 2, where (x1, y1) and (x2, y2) are the coordinates of the two points.
For example, if the coordinates of the two points are (1,2) and (5,7), then the midpoint of the two points will be (1+5) ÷ 2, (2+7) ÷ 2 = (6, 4.5).
Once we have the coordinates of the two midpoints, we can use the distance formula to find the length of the midsegment. The distance formula is √((x2-x1)² + (y2-y1)²).
So if the coordinates of the two midpoints are (3,6) and (9,2), then the length of the midsegment will be √((9-3)² +(2-6)²) = √(36+16) = √52 = 38.5.
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Someone help me pls show work
Answers
Answer:
\((5x + 2)(x - 1)\)
Step-by-step explanation:
1. Split the second term in into two terms.
\(5x ^2 +2x - 5x - 2\)
2. Factor out common terms in the first two terms, then in the last two terms.
\(x(5x+2) - (5x+2)\)
3. Factor out the common term .
\((5x+2)(x - 1)\)
question is on screenshot
Answers
The equation that represents the scatterplot is: y = -0.8x + 30
How to find the equation of line of best fit?From the scatterplot, we see that when x = 25, y = 10
Option A: The equation is given as:
y = -0.8x + 30
At x = 25, we have:
y = -0.8(25) + 30
y = -20 + 30
y = 10
Option B: The equation is given as:
y = -1.5x + 50
At x = 25, we have:
y = -1.5(25) + 30
y = -37.5 + 30
y = -7.5
Option C: The equation is given as:
y = -2.8x + 73
At x = 25, we have:
y = -2.8(25) + 73
y = -70 + 73
y = 3
Option D: The equation is given as:
y = -3.5x + 82
At x = 25, we have:
y = -3.5(25) + 82
y = -87.5 + 82
y = -5.5
Thus, only option A is correct
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The surface area of a cylinder can be expressed by the formula S A space equals 2 pr squared space plus space 2 prh. Which formula below can be used to solve for h?
Answers
Answer:
The formula that can be used to solve for h is;
h = S.A/(2πr) - r
Step-by-step explanation:
Here, we want to find the formula that can be used to get the height of the cylinder given the surface area of the cylinder.
Mathematically;
S.A = (2 π r^2 + 2 π r h)
Let’s factor out 2 π r
S.A = 2 π r( r + h)
divide both sides by 2 π r
S.A/2 π r = r + h
h = S.A/(2 π r) - r
The perimeter of the triangle is known to be 18x + 5. Determine the expression that represents
the missing side
Answers
Answer: 18 x + 5 = 450
Step-by-step explanation:
got my answer by using my maththematics calculator and i got my answer with 450
Ms. DeMarco wants to estimate the length ofher porch so she knows how much paint to buy. What is the best benchmark for her to use? A her fingertip B a license plate C a baseball bat D how far she could walk in 20 minutes
Answers
Which entence correctly place the lah mark between the ubject and predicate of the entence?
The guard were unaware of God' plan for Peter. HELPPPPPPP
Answers
The sentence that correctly places the slash between the subject and the predicate of the stated sentence is, Four groups / of four soldiers guarded / Pedro in jail. Correct answer: letter B.
Is important to consider the context in which the sentence is used. Depending on the situation, the answer may vary. For example, if the sentence is part of a larger dialogue about the strength of a prison guard, then more information about the security measures taken and the number of soldiers deployed to guard Peter would be relevant.
Alternatively, if the sentence is part of a discussion about the importance of loyalty and friendship, then information about the relationship between Peter and the soldiers would be important.
Which sentence correctly places the slash mark between the subject and predicate of the sentence? Four groups of four soldiers watched over Peter in jail.
A) Four groups / of four soldiers watched over Peter in jail.
B) Four groups of four soldiers / watched over Peter in jail.
C) Four groups of four soldiers watched / over Peter in jail.
D) Four groups of four soldiers watched over Peter/in jail.
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A bouncing toy reaches a height of 64 inches at its first peak, 48 inches at its second peak, and 36 inches at its third peak. Which explicit function represents the geometric sequence of the heights of the toy?
f(x) = 48(Five-sixths) Superscript x minus 1
f(x) = 48(three-fourths) Superscript x minus 1
f(x) = 64(three-fourths) Superscript x minus 1
f(x) = 64(Five-sixths) Superscript x minus 1
Answers
Answer:
The correct option is;
f(x) = 64(three-fourths)Superscript x minus 1
Step-by-step explanation:
The first peak height that the bouncing toy reaches = 64 inches
The second peak height that the bouncing toy reaches = 48 inches
The third peak height that the bouncing toy reaches = 36 inches
Therefore, given that the sequence has a common ratio, r = 48/64 = 36/48 = 3/4
The first term of the sequence, a = The first peak height reached = 64
The xth term of the geometric sequence with general form, xth term = ar⁽ˣ⁻¹⁾
The xth term of the geometric sequence, f(x), is therefore, given as follows;
\(f(x) = 64 \times \left(\dfrac{3}{4} \right) ^{(x - 1)}\)
The correct option is;
f(x) = 64(three-fourths)Superscript x minus 1
Step-by-step explanation:
The first peak height that the bouncing toy reaches = 64 inches
The second peak height that the bouncing toy reaches = 48 inches
The third peak height that the bouncing toy reaches = 36 inches
Therefore, given that the sequence has a common ratio, r = 48/64 = 36/48 = 3/4
The first term of the sequence, a = The first peak height reached = 64
The xth term of the geometric sequence with general form, xth term = ar⁽ˣ⁻¹⁾
The xth term of the geometric sequence, f(x), is therefore the correct answer is C
can someone help me please
Answers
Answer:
3: 55 degrees
4: 128 degrees
Step-by-step explanation:
A straight line is 180 degrees and so you do 180-125 to get 55 degrees
180-58 is 128 degrees
Which describes the motion shown?
A) Jane walks 4 blocks south, while Jeff walks 2 blocks east.
B) Jane walks 4 blocks north, turns, and walks 2 blocks east.
C) Jane valks 2 blocks south, while Jeff walks 4 blocks east.
D) Jane walks 4 blocks south, turns, and walks 2 blocks east.
Answers
Answer:
A.)
Step-by-step explanation:
Given the explicit expression f(n)=4n+2, write a set showing the sequence.
A {6, 10, 14, 18,...}
B {6, 8, 10, 12,...}
C {4, 8, 12, 16,...}
D {2, 6, 10, 14,...}
Answers
the answer is A because you would do 4x1+2 and then you would do 4x2+2 and so on
Correct! Thanks. This really helped me on a question on my quick check!
how many digits are in the decimal expansion of 2^34
Answers
Answer:
2^34 = 17179869184
I hope this helps :)
What’s the reason for number 4?
A.) ASA
B.) AAS
C.) SAS
D.) not enough information to prove congruent triangle
E.) HL
F.) SSS
Please help brainlist in return thank u
Answers
Answer:
C) SAS
Lines BC and CD are congruent, Angles 1 and 2 are congruent, and the triangles share a side. Thus, the triangles are congruent because of Side-Angle-Side.
ANYONE! HELP! I KNOW THE ANSWER I JUST NEED TO SHOW THE WORK
Find the missing angle.
The answer is 146
Answers
All the angles in the triangle equals 180
So you have 90+56+x=180
No you will get that x= 34
The angles (?) + x = 180
Because they are on the same line
So you will have 180-34= 146
a*a*a*a*a*a*a/a*a*a*a*a*a Rewrite the expression in the form a^n
Answers
Answer:
a¹
Step-by-step explanation:
The numerator (a*a*a*a*a*a*a) is a⁷ and the denominator (a*a*a*a*a*a) is a⁶ therefore the answer is a⁽⁷⁻⁶⁾ = a¹.
Answer:
a
Step-by-step explanation:
a*a*a*a*a*a*a/a*a*a*a*a*a
Count the number of a's in the numerator and that is the exponent
Count the number of a's in the denominator and that is the exponent
a^7 / a^6
When we divide, we subtract the exponents
a^ (7-6)
a^1
a
The time series pattern that exists when the data fluctuate around a constant mean is the _____ a. seasonal pattern b. cyclical pattern c. horizontal pattern O d. trend pattern
Answers
The time series pattern that exists when the data fluctuate around a constant mean is the c. horizontal pattern.
In a horizontal pattern, the data points exhibit random fluctuations around a constant mean value over time.
This means that there is no significant trend, seasonal variation, or cyclical pattern observed in the data.
The values may vary above or below the mean, but they do not show any consistent upward or downward trend or recurring patterns.
Therefore, when the data fluctuate around a constant mean without any discernible trend or seasonality, it is referred to as a horizontal pattern.
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The cost of 6 tennis balls in a sports store is $4.60. Wyatt bought 9 tennis balls from the store. What is the cost of 9 tennis balls?
Answers
Answer:
$6.90 is the cost of 9 tennis balls
Solve the equation.
-15 + t = 60
t=
Answers
Answer:
t = 75
Step-by-step explanation:
Step 1: Write equation
-15 + t = 60
Step 2: Solve for t
Add 15 to both sides: t = 75
Step 3: Check
Plug in t to verify it's a solution.
-15 + 75 = 60
60 = 60
Answer:
t= 75
Step-by-step explanation:
15-75=60
i hope this helps
help me pls need help
Answers
Answer:
9s+11
Step-by-step explanation:
Combine like terms → (7s+2s and 2+9 = 9s and 11) and boom
Answer:
\(9s + 11\)
Step-by-step explanation:
First:
\(7s - 2s \\ = 9s\)
second:
\(9 + 2 \\ = 11\)
12m 8m 5m 5m 15m area of irregular figures
Answers
The area of the figure can be obtained by splitting the figure into smaller components
The area of the irregular figure = Area of A + Area of B + Area of C
Area of A = L X B = 12 x 7 = 84 sq meters
Area of B = L X B = 5 X 8 = 40 sq meters
Area of C = L X B = 5 x 8 = 40 sq meters
Total area = 84 + 40 + 40 = 164 sq meters
9th October 2020
Assignment
1. The perimeter of a bectangular plot of land whose length
is (2x+5)m and width (x-10)m is 80m
find the value of ×
Answers
Answer: x = 15
Step-by-step explanation:
The perimeter is the sum of the 2 lengths and 2 widths.
Step 1: 2 times the length is 4x + 10
Step 2: 2 times the width is 2x - 20
Step 3: Add the both results together.
6x - 10
Step 4: Create an algebraic equation.
6x - 10 = 80
Step 5: Solve for x.
6x = 90
6x/6 = 90/6
x = 15
What is the y-coordinate of the solution for the system of equations? x−y=−11 y+7=−2x
Answers
Answer:
\(y= 5\)
Step-by-step explanation:
Given the system of equations:
\(x-y=-11\)
\(y+7=-2x\)
In order to find the y coordinate of the solution we must first find the solution to this system of equations. We first start by solving one of the given equations and then substitute the answer of that into the second equation and further solve to get the final answers.
\(x=y=-11\)
\(y+7=-2x\)
\(y+7=-2x\)
\(+ -7\)
\(y = -2x - 7\)
\(x - y = -11\)
\(y = -2x-7\)
\(x-(-2x-7)=-11\)
\(x--2x=x+2x=3x\)
\(3x+7=-11\)
\(-7\)
\(-11+-7=-18\)
\(3x=-18\)
\(\div3\)
\(-18\div3=-6\)
\(x=-6\)
\(y=-2x-7\)
\(y=(-2)(-6)-7\)
\(-2\times-6=12-7=5\)
\(y=5\)
Hope this helps.