Can somebody tell me what the answer to y-13=8 is? Please and thank you.
Answer:
Y=21
Step-by-step explanation:
add 13 on both sides you get Y=21
A quadratic function, f(x), has the x-intercepts (-7,0) and (6,0). The point (-5, -110) lies on the parabola.
Which of the following is the equation of f(x) in standard form?
The equation of parabola in standard form is,
⇒ y = 5x² + 5x - 210
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
A quadratic function, f(x), has the x-intercepts (-7,0) and (6,0).
And, The point (-5, -110) lies on the parabola.
Now, The standard form of quadratic equation is,
y = A (x - a) (x - b)
Here, A quadratic function, f(x), has the x-intercepts (-7,0) and (6,0).
Hence, We get;
y = A (x + 7) (x - 6)
And, The point (-5, -110) lies on the parabola.
Hence, Put x = - 5 and y = - 110
y = A (x + 7) (x - 6)
- 110 = A (- 5 + 7) (- 5 - 6)
- 110 = A (2 × - 11)
A = - 110 / - 22
A = 5
Thus, The equation of parabola in standard form is,
y = A (x + 7) (x - 6)
y = 5 (x² - 6x + 7x - 42)
y = 5 (x² + x - 42)
y = 5x² + 5x - 210
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to ________ a variable means to decrease its value.
Answer:
Decrement
Step-by-step explanation:
Evaluate the function for f(x) = x + 3 and g(x) = x² - 2.
(f+g)(-2)
(f+g)(-2) =
The Evaluate the function for f(x) = x + 3 and g(x) = x² - 2.
(f+g)(-2)(f+g)(-2) = \(\frac{3x+2}{4-5x}\)What is function?function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences. The modern definition of function was first given in 1837 by the German mathematician Peter Dirichlet:
If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of y is determined, then y is said to be a function of the independent variable x.
→ (f + g)(x) = f (x) + g(x)
→ = [3x + 2] + [4 − 5x]
→ = 3x + 2 + 4 − 5x
→ = 3x − 5x + 2 + 4
→ = −2x + 6
→ (f − g)(x) = f (x) − g(x)
→ = [3x + 2] − [4 − 5x]
→ = 3x + 2 − 4 + 5x
→ = 3x + 5x + 2 − 4
→ = 8x − 2
→ (f × g)(x) = [f (x)][g(x)]
→ = (3x + 2)(4 − 5x)
→ = 12x + 8 − 15x2 − 10x
→ = −15x2 + 2x + 8
\(=\boxed{\frac{3x+2}{4-5x}}\)
Therefore, the Evaluate the function for f(x) = x + 3 and g(x) = x² - 2.
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The scale on a map is 1 in: 55 miles. What is the distance on the map between two cities that are 99 miles apart?
Answer:
1.8 inches
Step-by-step explanation:
Create a proportion where x is the distance on the map
\(\frac{1}{55}\) = \(\frac{x}{99\\}\)
Cross multiply and solve for x
55x = 99
x = 1.8
So, the distance on the map is 1.8 inches
Answer:
1.8 inches
Step-by-step explanation:
Scales on a map always represent the direct proportion.
Compare the distances as fractions:
Inches on the map
________________ = \(\frac{1}{55} = \frac{x}{99}\)
Miles on the ground
\(x = \frac{1x99}{55}\)
\(x = \frac{99}{55}\)
\(x = \frac{9}{5} = 1\frac{4}{5}\)
x = 1.8 inches
\(\sqrt{25-10\sqrt{3}+3\) Simplify this
\( \sqrt{25 \: - \: 10 \sqrt{3} \: + \: 3} \)
Factor the indicated expression:\( \sqrt{(5 \: - \: \sqrt{3} ) ^{2} } \)
Simplified the index index the root and also the exponent using the number 2.\( \boxed{ \bold{5 \: - \: \sqrt{3} }}\)
MissSpanishPLEASE PLEASE PLEASE HELP ME!!!
Which function has a greater slope?
A. Function 1
B. Function 2
C. The functions have the same slope
Answer:
P has a greater slope
Although I might be wrong.
PLZ HELP DUE SOON
Mia has $50 on a gift card to her favorite coffee shop. Each time she visits the coffee shop she spends $3.75 on her favorite drink. Write an equation to represent the relationship between x, the number of times she visits the coffee shop, and y, the total amount on her gift card.
Answer:
50 = x · 3.75
Step-by-step explanation:
/\(\frac{27+b}{22}=8\) find the answer
Answer:
b = 149
Step-by-step explanation:
Given
\(\frac{27+b}{22}\) = 8
Multiply both sides by 22 to clear the fraction
27 + b = 176 ( subtract 27 from both sides )
b = 149
Which of the following describes the correct process for solving the equation 2x - 6 = 22 and
arrives at the correct solution?
A. Subtract 6 from both sides of the equation and then divide by 2. The solution is x = 7.
B. Add 6 to both sides of the equation and then divide by 2. The solution is x = 14.
C. Add 6 to both sides of the equation and then divide by 22. The solution is x = -14.
D. Divide both sides by -6 and then add 2. The solution is x = 8.
Answer:
The correct solution is B
Step-by-step explanation:
2x - 6 = 22
2x = 28
x = 14
hi
Correct answer is B
2X-6 =22
2X-6 +6 = 22 +6
2X =28
2X/2 = 28/2
X=14
Solve the following inequality. 3x - 4 > 11
A. (∞ ,5)
B. (15, ∞)
C. (5, ∞)
D. [5, ∞)
Solve the equation square root x+4-3=1 for the variable. Show each step of your solution
So can you just explain how to do it
Find the point at which the line x = 5 − t, y = 2 + t, z = 3t intersects the plane x − y + 4z = 13.
The value of the points at which intersection of plane takes place is (x,y,z) = (4,3,3).
According to the statement
we have to find the point which they intersect the given plane.
So, For this purpose, we know that the
The given equations is :
x = 5 − t, -(1)
y = 2 + t, -(2)
z = 3t -(3)
And the given plane is :
x − y + 4z = 13 -(4)
And, the intersection of plane point is :
Put the equations 1 and 2 and 3 in the 4th equations then
(5 − t) - (2 + t) + 4(3t) = 13
3 - 2t + 12t = 13
3 + 10t = 13
10t = 10
Then
t = 1
Put these values in 1 and 2 and 3rd equation then the value of x y z become
x = 5 − t, -(1)
x = 5 -1
x = 4
And
y = 2 + t, -(2)
y = 2 + 1
y = 3
And
z = 3t -(3)
z = 3(1)
z = 3.
The value of (x,y,z) = (4,3,3).
So, The value of the points at which intersection of plane takes place is (x,y,z) = (4,3,3).
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6. A 140-meter rope is cut into two pieces. One piece is 20 meters longer
than 3 times the other piece. How long is the smaller of the two pieces?
After solving the equation, the smaller piece length of the rope will be 30 meters.
What is an equation?Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the data provided in the given question,
3x+20+x = 140
4x+20 = 140
4x = 120
x = 30 meters
The smaller piece of the rope is of 30 meters.
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Pls I need help ASAP!!!!!
( 5,0 ) and ( 0,4 ) are the x and y-intercept of the function 4x + 5y = 20 respectively.
How to solve for x and y-intercept?The intercept of a line on a graph is simply the point at which it intersects either the x-axis or y-axis.
Given the data in the question;
4x + 5y = 20Input value when output is 0 = ?Output value when input is 0 = ?Now, we find the intercepts of the equation of line, plug in y = 0 and solve for x
4x + 5y = 20
4x + 5(0) = 20
4x = 20
x = 20/4
x = 5
Hence, the x-intercept is ( 5,0 )
For the y-intercept, plug in x = 0 and solve for y
4(0) + 5y = 20
5y = 20
y = 20/5
y = 4
Hence, the y-intercept is ( 0,4 ).
Therefore the x and y-intercept are ( 5,0 ) and ( 0,4 ).
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what type OK f number is -0.5/-0.5
Solve. Please show your work
3m/(2m-5)-7/(3m+1)=3/2
Answer:
m = -5
Step-by-step explanation:
You want the solution to the equation 3m/(2m-5)-7/(3m+1)=3/2.
Combine termsWe like to work these in the form f(m) = 0. Subtracting 3/2 and using a common denominator, we have ...
\(\dfrac{3m}{2m-5}-\dfrac{7}{3m+1}-\dfrac{3}{2}=0\\\\\\\dfrac{3m(3m+1)(2)-7(2m-5)(2)-3(2m-5)(3m+1)}{2(2m-5)(3m+1)}=0\\\\\\\dfrac{2(9m^2+3m)-2(14m-35)-3(6m^2-13m-5)}{2(2m-5)(3m+1)}=0\\\\\\\dfrac{(18-18)m^2+(6-28+39)m+70+15}{2(2m-5)(3m+1)}=0\\\\\\17m+85=0\\\\m=-5\)
The value of m that makes this true is -5.
<95141404393>
2 1/2t = 11
what is t
Can you please answer this question I need to submit in 30 min please HURRY ASAP PLEASE NEED HELP PLEASE !!!!!!!!!!!
Answer:
The answer is "21"
Step-by-step explanation:
mn + 3r
m = 5
n = 4
r = 1/3
Now just substitute the values given in the question into the equation
5(4) + 3(1/3)
Multiply 5 and 4 to get 20
20 + 3(1/3)
3(1/3) cancels out and becomes 1
20 + 1
Add 20 and 1
21
So "21" is your answer
im need more help besties
I’m so d*mb lol
anyways giving brainliest
:)
Answer: 1
Step-by-step explanation: i might be wrong most likely i am because im dmb to
the solution to dy/dt 2y=0 where y(0)=3 is most nearly
The solution to the differential equation dy/dt + 2y = 0 where y(0) = 3 is y = 3e^(-2t).
The solution to the differential equation dy/dt + 2y = 0 can be found by separating the variables and integrating both sides.
First, separate the variables:
dy/dt = -2y
Next, integrate both sides:
∫dy/y = ∫-2dt
This gives us:
ln(y) = -2t + C
Now, solve for y:
y = e^(-2t+C)
Since we know that y(0) = 3, we can plug in 0 for t and 3 for y to solve for C:
3 = e^(C)
C = ln(3)
So the solution is:
y = e^(-2t+ln(3))
Simplifying further gives us:
y = 3e^(-2t)
Therefore, the solution to the differential equation dy/dt + 2y = 0 where y(0) = 3 is y = 3e^(-2t).
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Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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G is the incenter, or point of concurrency, of the angle bisectors of ΔACE. Triangle A C E has point G as its incenter. Lines are drawn from the point of the triangle to point G. Lines are drawn from point G to the sides of the triangle to form right angles. Line segments G B, G D, and G F are formed. Which statements must be true regarding the diagram? BG ≅ AG DG ≅ FG DG ≅ BG GE bisects ∠DEF GA bisects ∠BAF
Answer:
its B 7
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
Use the distributive property to write each expression as an
equivalent algebraic expression.
a. 4(x + 5)
b. 3(2x - 4)
C. -2(x - 6)
Answer:
Use the distributive property to write each expression as an equivalent algebraic expression:-
a.) 4(x + 5) = 4x + (4 x 5 ).
= 4x + 20 .
b.) 3(2x - 4) = 3 x 2x = 6x - (3 x -4 )
= 6x - 12 .
C.) -2(x - 6) = -2x - ( -2 x -6 ) .
= -2x - 12 .
Hope this helps you !!#a
\(\\ \sf\longmapsto 4(x+5)\)
\(\\ \sf\longmapsto 4x+20\)
#b
\(\\ \sf\longmapsto 3(2x-4)\)
\(\\ \sf\longmapsto 6x-12\)
#c
\(\\ \sf\longmapsto -2(x-6)\)
\(\\ \sf\longmapsto -2x+12\)
A small country of 744,785 people has 44600 immigrants and 12.567 emigrants. They also experience 15.890 deaths and 35.000 births, what is the population growth rate of this country? 0.7 O b. 5.6 O 65 O d. 5.5
Among the given answer choices, the closest option is "5.6", but the correct answer based on the calculation of population growth rate is approximately 5.054%.
To calculate the population growth rate, we need to consider the net change in population relative to the initial population.
The net change in population is calculated by subtracting the number of emigrants and deaths from the total number of immigrants and births:
Net Change = Immigrants + Births - Emigrants - Deaths
Net Change = 44600 + 35000 - 12567 - 15890
Net Change = 66143 - 28457
Net Change = 37686
Next, we can calculate the population growth rate using the formula:
Rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.
Population Growth Rate = (Net Change / Initial Population) * 100
Population Growth Rate = (37686 / 744785) * 100
Population Growth Rate ≈ 5.054%
The population growth rate of this country is approximately 5.054%.
Among the given answer choices, the closest option is "5.6", but the correct answer based on the calculation is approximately 5.054%.
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Match the answers……………..
9 in 8956 = 900
9 in 95675 = 90000
9 = 9 in 124569
9 in 68795 = 90
90000 = 9 in 2549652.........
hope it helps...
caffeine takes a certain amount of time to leave your system if you drink 3 cups of coffee in the morning, the function that represents the amount of caffeine remaining in your body after drinking the coffee is given by (gt)=130(.8346) where is t time in hours.
Answer:
What's the question you're asking im very confused of what you're trying to ask
Step-by-step explanation:
Mary and Jane have $48 to share in the ratio 3:5. How much did each girl 2 points
receive? (SHOW WORKING)
Answer:
Mary- $18
Jane- $30
Step-by-step explanation:
Add the numbers in the ratio together to get 8, and multiply 8 by the variable of x. Divide the total amount of money that both girls earned by 8. You will get x=6. Multiply 6 by 3 to get the amount of money Mary earned, which is 18, and multiply 6 by 5 to get the amount of money Jane earned, which is 30.
x(3+5) = $48
3x + 5x = $48
8x = $48
8x/8 = $48/8
x = $6
3($6):5($6) = $18:$30
Answer:
Mary = $18
Jane = $30
Step-by-step explanation:
The first thing you need to do is find out how much each part is. To do that you need to add each side of the ratio together (3 + 5 = 8). THen you set up an equation showing the 8 parts * x = 48 and solve for x.
8x = 48
x = 6 <-- Value of each part
Now you multiply the 6 by the number on each side of the ratio,
Mary = 3 * 6 = 18
Jane = 5 * 6 = 30
The above is your answer.
Write 7 to the power of 4 in expanded form. Then check all that apply.
The base is 7.
The exponent is 4.
The exponent tells you to multiply 7 together 4 times.
The exponent tells you to multiply 4 together 7 times.
The expanded form is 4 × 4 × 4 × 4 × 4 × 4 × 4.
The expanded form is 7 × 7 × 7 × 7
7 to the power of 4 in the expanded form is written as:
a)The base is 7.
b)The exponent is 4.
c)The exponent tells you to multiply 7 together 4 times.
d)The expanded form is 7 × 7 × 7 × 7
Given that,
\(7^{4}\) - this indicates that 7 is the base and 4 is the exponent
Thus, The statement- The base is 7 and The exponent is 4 is true.
\(7^{4}\) - means the number 7 is being multiplied 4 times.
Thus, The statement- The exponent tells you to multiply 7 together 4 times and The expanded form is 7 × 7 × 7 × 7 is true.
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What is the expression for "the sum of 8 times a number and two"?
8 × 2 N
8( N + 2)
8 N + 2
Answer:
8 N + 2
Step-by-step explanation:
==> 8 N + 2
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