Answer:
the 3rd one
Step-by-step explanation:
Answer:
It is the second one
Step-by-step explanation:
find the x- and y- intercepts of parabola y=5x^2-16x+10
Y-INTERCEPT
\(y = 5x^2 - 16x + 10\)
The y-intercept is where the equation/curve/parabola cosses the y-axis.
The y-axis is where x = 0. (The x-axis is where y = 0)
To find the y-intercept:
\(\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10\)
The y-intercept must be at (0, 10)
X-INTERCEPT (ROOTS/SOLUTIONS)
\(y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0\)
We need to use the quadratic formula
The quadratic formula helps us find what values of \(x\) make the equation = 0
Quadratic formula: \(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)
\(x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\\)
The x-intercepts are at:
\((\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)\)
A bread recipe calls for 1/3 cup of white flour and 5 1/3 cups of whole wheat flour. How much flour do I need in total of my recipe?
Answer:
5 2/3
Step-by-step explanation:
The summit of a volcano is 5 kilometers (km) above sea level, as shown below.
If the ocean floor has an elevation of -5 kilometers, which statement describes
the distance of the summit and the ocean floor?
It's not 0 or 5
✓
3 sisters age combined are 57. Jenny is 6 years
older then Lynn. Kim is 5 less then twice the age of
Lynn age. What are the sisters ages.
Jenny's age is 20 years, Lynn is 14 years and Kim is 23 years.
Let's take Jenny as J, Kim as K and, Lynn as L.
From the given statement we get the equation.
As the sum of the age of the three sisters is 57. So we have an equation,
J + K + L = 57 ........(i)
Jenny is 6 years older than Lynn. So the next equation is,
J = 6 + L .......(ii)
Kim is 5 years less than twice her age Lynn. So the equation is,
K = 2L -5 .........(iii)
Putting equations (ii) and (iii) in equation (i)
6 +L + 2L - 5 + L = 57
4L = 56
L = 14
Put the value of L in equations (ii) and (iii)
J = 6 + 14
= 20
K = 2(14) -5
= 28 - 5
= 23
Therefore the age of Jenny is 20 years, Lynn is 14 years and Kim is 23 years.
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Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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how many solutions does 9x+5=9x+7
Answer:
There are 0 solutions to this problem because it cannot be re-arranged logically enough to come to a new conclusion.
Answer:
0
Step-by-step explanation:
If we try to solve this question, we get no solutions:
First we subtract 5 from both sides :
9x = 9x + 2
Now we subtract 9x from both sides :
0 = 0 +2
0 = 2 ❌
This is why this equation has no solutions
Hope this helped and have a good day
H(p)=p/5 + 15
What is the independent variable in this function
In the given function H(p) = p/5 + 15, the independent variable is "p" ,
The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.
It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.
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PLEASE HELP FAST & CORrect 50 POINTS
Answer:
105
Step-by-step explanation:
What is the equation in point-slope form of the line that passes through the point (1,-1) and has a slope of -4
Answer:
y=-4x+3
Step-by-step explanation:
Point slope form equation is
\(y-y_1=x(x-x_1)\)
where \((x_1,y_1)\) is the point through which the line passes and m is the slope in this case we have the point (1,-1) and slope that is m= -4
so,
\(y-y_1=m(x-x_1)\) becomes
\(y-(-1)=(-4)(x-1)\)
\(y+1=-4(x-1)\)
\(y+1=-4x+4\\y=-4x+4-1\\y=-4x+3\)
Keisha, Miguel, and Ryan sent a total of 103 text messages during the weekend. Ryan sent 3 times as many messages as Miguel. Keisha sent 8 more
messages than Miguel. How many messages did they each send?
Number of text messages Keisha sent:
Number of text messages Miguel sent:
Number of text messages Ryan sent:
Answer:
only god knows
Step-by-step explanation:
because they didn't give us an answer on how many text messages anyone sent
Let P(x) = -50x+20,000x-1,5000,000 represent the profit function for manufacturing a particular model of recreational
vehicle (RV) and x represent the number of RVS produced monthly. Use a compound inequality to state the range of the
number of RVs that need to be sold each month for the company to make a profit.
O 0
100
200
none of the answer choices
O 0
O 100
Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".
To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.
The profit function is given by P(x) = -50x + 20,000x - 1,500,000.
To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:
-50x + 20,000x - 1,500,000 > 0.
Combining like terms, we have:
19,950x - 1,500,000 > 0.
Now, let's solve this inequality for x:
19,950x > 1,500,000.
Dividing both sides by 19,950, we get:
x > 1,500,000 / 19,950.
Simplifying the right side, we have:
x > 75.
The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.
Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".
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Which of the values in the set (2, 3, 4, 5) is a solution to the equation 2x + 4 = 10?
Answer:
3
Step-by-step explanation:
2x+4=10
2(3)+4=10 2*3 = 6
6+4=10
10 = 10
(2x)⁴ = (2x)(2x)(2x)(2x)
(xy)⁷ =
(-ab)⁶ =
write in expanded form
Step-by-step explanation:
(xy)(xy)(xy)(xy)(xy)(xy)(xy)
(-ab)(-ab)(-ab)(-ab)(-ab)(-ab)
table below shows the number of miles run each day of the week. Which list shows the number of miles
run in order from least to greatest?
Monday, Thursday, Wednesday, Tuesday
Monday, Thursday, Wednesday, Tuesday
Thursday, Tuesday, Wednesday, Monday
Thursday, Tuesday, Wednesday, Monday
Monday, Wednesday, Tuesday, Thursday
Monday, Wednesday, Tuesday, Thursday
Tuesday, Monday, Wednesday, Thursday
Answer:
monday wednesday tuesday thursday
Step-by-step explanation:
edge 2020
Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.
What is Fraction?A fraction represents a part of a whole.
Monday = \(3\frac{1}{3}\)
Convert mixed fraction to improper 10/3
Decimal value 3.33
Tuesday = \(3\frac{2}{5}\)
The improper fraction is 17/5
Decimal value 3.4
Wednesday = \(3\frac{3}{8}\)
The improper fraction is 27/8
Decimal 3.375
Thursday = \(3\frac{1}{2}\)
The improper fraction is 7/2 which is 3.5
Hence, Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.
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How do I divide fractions with a whole number
Answer:
To Divide a Fraction by a Whole Number:
Multiply the bottom number of the fraction by the whole number. Step 2. Simplify the fraction (if needed)
Step-by-step explanation:
On a scale drawing of a fence, 3.75 inches represents 24 feet. What os the actual length of a fence that is 2.8 inches long in the drawing?
Therefore , the solution of the given problem of unitary method comes out to be the fence's true length is about 17.92 feet.
Definition of a unitary method.Use the tried-and-true fundamental method, the actual variables, and any relevant information gleaned from general and specific questions to complete expression the assignment. Customers may be given another chance to taste the products in response. If these adjustments don't happen, we'll lose out on significant advancements in our understanding of programmes.
Here,
We can utilise the idea of proportions to determine the fence's actual length based on the scale drawing.
Given:
24 feet are represented by 3.75 inches at the given scale.
Let's establish a ratio:
=> 24 feet x 3.75 inches = 2.8 inches
where x represents the fence's real length.
If we cross-multiply, we obtain:
=> 24 feet * 2.8 inches * 3.75 inches
If we simplify, we get:
=> 3.75x = 67.2
By multiplying both sides by 3.75, we obtain:
=> x = 67.2 / 3.75
=> × ≈ 17.92 feet
Therefore, the fence's true length is about 17.92 feet.
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Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.
Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.
To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.
Let's start with the first equation:
2 + x = 5
Subtract 2 from both sides:
x = 3
Now let's move on to the second equation:
x + 1 = 4
Subtract 1 from both sides:
x = 3
Notice that we got the same value of x for both equations, so they are equivalent.
Next, let's look at the third equation:
9 + x = 6
Subtract 9 from both sides:
x = -3
Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.
Now, let's move on to the fourth equation:
x + (-4) = 7
Add 4 to both sides:
x = 11
This value of x is also different from the first two equations, so it is not equivalent to them.
Finally, let's look at the fifth equation:
-5 + x = -2
Add 5 to both sides:
x = 3
Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.
So, correct options are A, B and E.
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Complete question is:
Which of the following equations are equivalent? Select three options.
2 + x = 5
x + 1 = 4
9 + x = 6
x + (- 4) = 7
- 5 + x = - 2
A band expects to put 16 songs on their next CD. The band writes and records 37.5% more songs than they expect to put on the CD. During the editing process, 50% of the songs are removed. How many songs will there be on the final CD?
answer:
- this is multi-step problem
16 X 1.375 = 22 songs (37.5% was added)
22 X .5 = 11 songs (50% was removed)
final answer: 11 songs.
What is the vertical distance between the points C(2, -0.8) D(2,1.2)
Answer:
2 units
Step-by-step explanation:
vertical distance will be the magnitude of the difference in the 'y' coordinates
| -.8 - 1.2| = 2 units
Give the probability distribution for X:
x 0 1 2 3
f(x) 1/4 1/8 1/2 1/8
Find Var.
Answer:
Var(x)=1
Step-by-step explanation:
x p(x) x² x*p(x) x²*p(x)
0 1/4 0 0 0
1 1/8 1 1/8 1/8
2 1/2 4 1 2
3 1/8 9 3/8 9/8
Total 3/2 13/4
The required variance can be computed as
Var(x)=sumx²*p(x)-(sum(x*p(x)))²
Var(x)=13/4-(3/2)²
Var(x)=13/4-9/4
Var(x)=4/4
Var(x)=1
Thus, the required variance is 1.
Question 3 of 10
which choice is equivalent to the quotient
According to the property
below?
O A -5
B. 25
C5
OD. - 5
ES
Answer: D: Square Root Of 5
Step-by-step explanation: 30/6 is 5, now fill in the sqrt symbol. Hope this helped. (This problem was one of the simpler, friendlier numbers.)
Michelle has 4 1/5 feet of yarn. She cuts the yarn into pieces that each measure 3/5 foot long. How many pieces of yarn did Michelle cut?
Answer: 7
Step-by-step explanation:
yarn = 4 1/5 = 21/5
measure of one piece = 3/5
no. of pieces of yarn = 21/5÷3/5
= 21/5×5/3
= 105/15 = 7
So the number of pieces of yarn cut will be 7
Answer:
7
Step-by-step explanation:
4.2' yarn
cut into 0.6' pieces
4.2/0.6 =7
Help plz:)))I’ll mark u Brainliest
Answer:
scale factor = 1.5
Step-by-step explanation:
15 / 10 = 1.5
10 * 1.5 = 15
What is the volume of the composite figure
Answer:
291
Step-by-step explanation:
2*2*2=8*2=16
16+(11*5*5)=291
Answer:
291cm^3
Step-by-step explanation:
11×5×5=275cm^3
2×2×2=8cm^3
8cm^3 + 8cm^3= 16cm^3
275+16=291cm^3
model cutting and sewing finishing packaging and shipping profit/glove regular model 1 1/2 1/8 $5 catcher's model 3/2 1/3 1/4 $8
The inequality of each model cutting, sewing finishing packaging and shipping profit
The maximum value = 5x + 8y
1R + 3/2 C ≤ 900
1/2 R + 1/3 C ≤ 300
1/8 R + 1/4 C ≤ 100
R, C ≥ 0
Consider x be the number of regular model of gloves to be produced
y be the catcher’s model of gloves to be produced
The maximum value = 5x + 8y
Then the inequality will be
The inequality of Cutting and Sewing
1R + 3/2 C ≤ 900
The inequality of Finishing
1/2 R + 1/3 C ≤ 300
The inequality of Packaging and Shipping
1/8 R + 1/4 C ≤ 100
R, C ≥ 0
Therefore, the inequality of each model cutting, sewing finishing packaging and shipping profit has been found
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Joe worked 4 hours and packed 7 cartons. Bob worked 6 hours and packed 9 cartons. Who packed the most cartons per hour?
Step-by-step explanation:
No. of cartons packed by Joe in 4 hours=7
Therefore, No. of cartoons packed in 1hr=7/4
No. of cartoons packed by Bob in 6 hours=9
No. of cartoons packed in 1hr=9/6=2/3
Therefore,
Joe packed more cartoons than Bob
Bob packed the most cartons per hour.
What is rate?In mathematics, a rate is the ratio between two related quantities in different units.
Now it is given that,
Number of hours Joe worked = 4 hours
Number of packed cartons = 7 cartons
Packing per hour for Joe = 7/4 = 1.75 cartons per hour
And,
Number of hours Bob worked = 6 hours
Number of packed cartons = 9 cartons
Packing per hour for Bob = 9/6 = 1.50 cartons per hour
Thus, Packing per hour for Joe < Packing per hour for Bob
Therefore, Bob packed the most cartons per hour.
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This graph represents the flight path of a model rocket launched in a park.
What do the key features of the curve represent in terms of the flight path of the rocket?
Chose from the drop-down to match each situation.
Some key features of the below curve represent in terms of the flight path of the rocket as discuss matched table below.
What do you mean by a graph representation?A graph representation is a way to visually or mathematically model the relationships between objects or entities. A system for using a set of numbers called coordinates to identify points or locations in space is known as a coordinate system.
Matching according to the graph is describe below;
The time the rocket was launched → 4. x-value of the point containing the y-intercept
The maximum height of the rocket is 50 ft. → 5. the y-value of the vertex
The rocket was in the air 10 s. → 6. the x-intercept on the right
The rocket reached its maximum height in 5 s. → 1. the x-value of the vertex
The rocket returns to ground level. → 2. the y-value of the point containing, the x-intercept on the right
The rocket launcher starts on the ground. → 3. the y-intercept
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Complete graph and question-
Magan invested $210 in an account paying an interest rate of 95%
compounded quarterly. Myesha invested $210 in an account paying an
interest rate of 9% compounded continuously. After 9 years, how much
more money would Myesha have in her account than Magan, to the nearest
dollar?
The Magan has more money in her account than Myesha by $450,189 (rounded to the nearest dollar).
Define the term compound interest?Compound interest is a sort of interest that is computed on both the principal—the amount borrowed or invested at the start—and the interest that has accrued over time.
For Magan's account:
Principal amount (P) = $210, Interest rate (r) = 95% = 0.95
Number of compounding periods (n) per year = 4 (quarterly),
Time (t) = 9 years
Amount in Magan's account after 9 years would be: (compound interest)
\(A = P(1 + \frac{r}{n} )^{nt}\)
= $210 × (1 + 0.95/4)⁴*⁹
= $210 × (1.2375)³⁶ = $210 × 2145.98
A = $450,657 (rounded to the nearest cent)
For Myesha's account:
Principal amount (P) = $210, Interest rate (r) = 9% = 0.09, time is same
The amount in Myesha's account after 9 years would be:
\(A = P(1 + \frac{r}{n} )^{nt}\)
A = $210 × (1 + 0.09/4)⁴*⁹ = $468 (rounded to the nearest cent)
The difference in the amounts is = $468 - $450,657 = -$450,189
This means that Magan has more money in her account than Myesha by $450,189 (rounded to the nearest dollar).
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Magan invested $210 in an account that offers a 95% interest rate. Let me provide a brief explanation of the situation.
When Magan invests $210 in the account, the bank or financial institution agrees to pay an interest rate of 95% annually on the invested amount. Interest is essentially the cost of borrowing money, and in this case, it's the reward Magan receives for lending their funds to the bank.
To calculate the amount of interest earned after one year, you would multiply the principal amount ($210) by the interest rate (95%).
In this case, it would be\( $210 * 0.95 = $199.50\).
This means that after one year, Magan would have earned $199.50 in interest on their initial investment.
Adding the interest earned to the original investment, Magan's account balance after one year would be
\( $210 + $199.50 = $409.50.\)
It's important to note that this calculation assumes that the interest is only compounded annually. If the interest were compounded more frequently, the final balance would be different.
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Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 4p − 7 ≥ 9p + 8 true.
PLS HELP ME
The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5
Let's solve the inequality first
4p -7 \(\geq\) 9p +8
Taking p's on the same side we will get :
-7 - 8 \(\geq\) 9p - 4p
-15 \(\geq\) 5p
Divide by 5 into both sides
-3 \(\geq\) p
i.e. p \(\leq\) -3
Therefore p must be less than or equal to -3
From the set, we have the numbers -3,-4,-5 which are less than or equal to -3
Hence the integers -3,-4,-5 will make the inequality 4p-7 \(\geq\) 9p+8 true
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someone please help meeeeee
Answer:
B. (5,0)
Step-by-step explanation:
hope this helps
Answer:
B. (5,0)
Step-by-step explanation:
Place all the coordinates on the graph and then its pretty much self-explanatory after that. you just see which is closest to the subject. which, in this case, was the school.