By substituting the given x-values from the table into the equation y = x² + 2x - 4, we found that a=-4, b=-5, c=4, and d=11.
Explanation:The values of a, b, c, and d can be found by substituting the given x-values from the table into the formula y = x2 + 2x - 4.
For a, place -2 in the equation so we get y = (-2)2 + 2*(-2) - 4 = 4 - 4 - 4 = -4.
For b, place -1 in the equation, and it results y = (-1)2 + 2*(-1) - 4 = 1 - 2 - 4 = -5.
The third value, c, is computed by substituting 2 for x to obtain y = (2)2 + 2*2 - 4 = 4 + 4 - 4 = 4.
Lastly, for d, the y-value when x is equal to 3 is y = (3)2 + 2*3 - 4 = 9 + 6 - 4 = 11.
So, the solutions are a=-4, b=-5, c=4, and d=11.
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Rectangle R was dilated to form rectangle R prime. Rectangle R has a length of 8 and width of 4. Rectangle R prime has a length of 20 and width of 10. Which is the scale factor of the dilation? Five-fourths StartFraction 2 Over 1 EndFraction Five-halves StartFraction 5 Over 1 EndFraction
Answer:
5/2
Step-by-step explanation:
20/8= 10/4=5/2
A horizontle line passes through the points (5, -1). Which point is also on this line?
what is the difference between polynomials? (x^4+x^3+x^2+x)-(x^4-x^3+x^2-x)
Answer: 2x^3 + 2x
Step-by-step explanation:
[tex](x^4+x^3+x^2+x)-(x^4-x^3+x^2-x)\\\\x^4+x^3+x^2+x-x^4+x^3-x^2+x\\\\2x^3+2x[/tex]
you find a mutual fund that offers approximately 4 % APR compounded monthly. How much will you need to invest each month for the next 6 months in order to have $500?
Final answer:
To reach $500 with a 4% APR compounded monthly, you would need to invest $1.67 each month for the next 6 months.
Explanation:
To calculate how much needs to be invested each month for the next 6 months to have $500 with a 4% APR compounded monthly:
Calculate the monthly interest rate using APR: 4% APR = 4%/12 = 0.3333% monthly rate.Use the present value formula: $500/(1 + 0.3333%) = $500/1.0033333 = $498.33.Subtract the present value from the future value to find the monthly investment required: $500 - $498.33 = $1.67.This calculation ensures the necessary monthly investment to reach the desired future value, facilitating financial planning and goal setting.
What number goes in the cell in row y, below 4?
Answer:
10.
Step-by-step explanation:
The formula for this table is y=x+6. plug in 4 and you get 10
Answer:
10
Step-by-step explanation:
Don't just think: 6,7,8,9, oh it must be 10.
When x is 0, y is 6. That means no matter what 6 is added to x. So if we look at when x is 2, y = 8. Lets subtract the 6 from the 8 and we get 2. So the x is not multiplied by anything.
The equation is y = x+6.
4+6=10
The supplementary angles differ by 24. Write two equations and find the two angles
HELP!
Answer:
78°, 102°
Step-by-step explanation:
Let the two Supplementary anglea be x and y degrees, where x > y.
[tex] \therefore \: x - y = 24 \degree...(1) \\ x + y = 180 \degree...(2) \\ adding \: equations \: (1) \: and \: (2) \\ \\ x - y = 24 \degree \\ x + y = 180 \degree \\ - - - - - - \\ 2x = 204 \degree \\ x = \frac{204 \degree}{2} \\ \huge \red{ \boxed{x = 102 \degree}} \\ from \: equation \: (2) \\ 102 \degree + y = 180 \degree \\ y = 180 \degree - 102 \degree \\ \huge \purple{ \boxed{y \: = \: 78\degree}}[/tex]
PLZ HELP!!! its due tomorrow
James has 3 coats, 5 pants, 7 shirts, and 4 ties. How many different outfits can James make?
Answer:add 3+5+7
Step-by-step explanation:
3×5×7×4=420
Answer: 420 outfits
select three ratios and that are equivalent to 3:12
Final answer:
To find three ratios equivalent to 3:12, we simplify the ratio to 1:4 and then scale it up. The three equivalent ratios are 2:8, 3:12 (the original ratio), and 4:16.
Explanation:
To find three ratios equivalent to the ratio 3:12, we need to simplify or scale the given ratio up or down. Given that 3:12 simplifies to 1:4 (by dividing both numbers by their greatest common divisor, which is 3), any multiple of this simplified ratio will also be equivalent to 3:12.
By multiplying both terms of the ratio 1:4 by 2, we get the equivalent ratio 2:8.Multiplying both terms by 3 gives us another equivalent ratio, 3:12, which is our original ratio and shows that multiplying by a common factor yields an equivalent ratio.Lastly, multiplying both terms by 4 would give us the equivalent ratio 4:16.These three equivalent ratios show the concept of scaling a ratio up while maintaining the proportional relationship between the two quantities.
what is the different of the complex number ? (3+7i)-(-4-2i)
Answer:
7 + 9i
Step-by-step explanation:
Given
(3 + 7i) - 1(- 4 - 2i) ← distribute both parenthesis
= 3 + 7i + 4 + 2i ← collect like terms
= 7 + 9i
Answer:
7+9i
Step-by-step explanation:
ANSWER PLZ ASAP!!!!!!!!!!!!!!
Just substitute r with 357 and solve.
= 1/7(357) + 3(1/7(357))
= 51 + 3(51)
= 51 + 153
= 204
Therefore, Eliza read 204 in those 3 days.
Best of Luck!
Answer:
Part A: 204 pages
Step-by-step explanation:
Eliza reads of her book on Monday by [tex]\frac{r}{7}[/tex] pages, where r is the total number of pages in the book.
On Tuesday and Wednesday combined, she reads three times as much as she reads on Monday i.e. [tex]\frac{r}{7} * 3 = \frac{3r}{7}[/tex] pages.
So, combining Monday, Tuesday and Wednesday she reads [tex]( \frac{r}{7} + \frac{3r}{7} ) = \frac{4r}{7}[/tex] number of pages.
Part A: If Eliza's book has a total of 357 pages then combining Monday, Tuesday and Wednesday she reads [tex]\frac{4*357}{7} = 204[/tex] pages.
please give me brainliest
c/3 - 7 = 1 solve for c.
Answer:
24
Step-by-step explanation:
Add 7 to both sides
c/3=8
Multiply both sides by 3
c=24
hope this helped
:)
A construction crew built 1/3 miles of road in 1/6 days
What is the unit rate in miles per day?
Write your answer in the simplest form.
Answer:
2 miles per day
Step-by-step explanation:
The length of the road built is 1/3 miles, so let's call L = 1/3
The time spent to build this length is 1/6 days, so let's call D = 1/6
To find the unit rate in miles per day, that is, the speed that this length of the road was built, we just need to divide L by D (speed is distance over time). Let's call the speed S:
S = D/T
S = (1/3) / (1/6)
S = (1/3) * 6
S = 2 miles per day
The unit rate, which is the rate of distance built per day, is 2 miles per day. Calculated by dividing the total distance by the total time, multiplying 1/3 by the reciprocal of 1/6.
Explanation:This question involves the concept of unit rates. A unit rate tells us how one quantity relates to one unit of another quantity. In this case, we are asked to find the number of miles of road that can be built in one day (the unit rate).
To find the unit rate, we need to divide the total distance (1/3 miles) by the total time (1/6 days). When we divide fractions, we multiply the first fraction by the reciprocal of the second.
So, the calculation should be (1/3) ÷ (1/6) = (1/3) * (6/1) = 2.
So, the construction crew can build 2 miles of road in one day.
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Pls answer This question I don’t know it
A student solved this problem by working backward.
Jared has some flowers. He has 6 more red flowers than yellow flowers. He has twice as many orange flowers as red flowers. He has 4 yellow flowers. How many flowers does Jared have altogether?
Student's solution:
Jared has 4 yellow flowers.
He has 6 more red than yellow flowers (4 + 6 = 10).
He has twice as many orange flowers as red flowers (10 × 2 = 20).
So Jared has 4 + 10 + 20 = 34 flowers.
Use a similar strategy to solve this problem.
Kathleen has some balloons. She has 7 more silver balloons than gold balloons. She has 3 times as many bronze balloons as silver balloons. She has 5 gold balloons.
How many balloons does Kathleen have altogether
Kathleen has 5 gold balloons, 12 silver balloons, and 36 bronze balloons. By adding the number of each type, she has a total of 53 balloons.
To determine how many balloons Kathleen has altogether, we can work backward just like the student did in the original problem. Here are the steps:
Kathleen has 5 gold balloons.She has 7 more silver balloons than gold balloons, so she has 5 + 7 = 12 silver balloons.She has 3 times as many bronze balloons as silver balloons, so she has 12 × 3 = 36 bronze balloons.Adding them all together: 5 gold + 12 silver + 36 bronze = 53 balloons.Hence, Kathleen has a total of 53 balloons.
Please answer the following question attached.
Answer:
Nonlinear
Step-by-step explanation:
Because it is an exponentially growing graph that is not linear.
Answer:
Non-linear
Step-by-step explanation:
If the graph was growing it would be linear.But the graph isn't growing.So it becomes non-linear.
If the median of five consecutive even integers is 20, what is the value of the smallest integer?
Answer:
16
Step-by-step explanation:
Median means the middle number. So you can look at it like this:
a,b, 20, c,d
Those are the variables for the numbers we do not know. We do know that they are all even numbers and they are consecutive, meaning in sequence. So if they are all even, then there should be a gap of 2 between each. They should also be in order. Knowing that, you can subtract 2 from 20 to get b, subtract 2 from b to get a, add 2 to 20 to get c, and add 2 to c to get d.
This should be your answer:
16, 18, 20, 22, 24
Consecutive, and even.
Final answer:
The smallest integer in the set of five consecutive even integers with a median of 20 is 16. This is calculated by recognizing the median as the middle value, and subtracting 4 (for two even steps) from the median.
Explanation:
If the median of five consecutive even integers is 20, we can determine the value of the smallest integer by understanding the property of consecutive even numbers and the nature of the median in a symmetrically distributed set. Since the median of this set is the middle value, the five consecutive even numbers can be represented as:
x
x + 2
20 (the median)
x + 4
x + 6
The median, 20, is the third value in this ordered set. To find the smallest value, x, we look two even numbers behind 20. Since consecutive even numbers increase by 2 with each step, we subtract 4 from 20 to find the smallest value.
20 - 4 = 16
Therefore, the smallest integer in this set of five consecutive even numbers is 16.
1. Andre drinks 15 ounces of water, which is 35% of a bottle. How much does the bottle hold?
Use for the number of ounces of water the bottle holds.
Equation:
Solution:
Answer:
43 ounces of water
Step-by-step explanation:
Kindly refer to the attached image for explanations
Answer:
Step-by-step explanation:
she
A planet's radius is approximately 1,534 mi. About two-thirds of the planet's surface is covered by water.
Enter an estimate for the land area on the planet. Round the answer to the nearest million.
Answer:
ok so the earth radius is 1534mi so if that is the radius than the area is 7.39×10^6so then you divide that into 3 pieces so each piece would be 2,463,333.3333 the nearest million would be 2,000,000
Step-by-step explanation:
To find the land area of a planet with a radius of approximately 1,534 miles and two-thirds water coverage, we calculate the total surface area and take one-third of that as the land area. The land area is approximately 9,867,658 square miles, which rounds to 10 million square miles.
To estimate the land area on the planet with a radius of 1,534 miles that is two-thirds covered by water, we first calculate the planet's total surface area using the formula for the surface area of a sphere, which is 4πr². Plugging in the radius:
Total surface area = 4π(1,534)² ≈ 29,602,975 square miles.
Since two-thirds of the planet's surface is covered by water, one-third is land. Therefore, the land area is approximately:
Land area = ([tex]\frac{1}{3}[/tex]) × Total surface area ≈ ([tex]\frac{1}{3}[/tex]) × 29,602,975 ≈ 9,867,658 square miles.
When rounded to the nearest million, the estimate for the land area is 10 million square miles.
2 1/3 * 2 1/4 * 1 3/8
Answer:
7.21875
Step-by-step explanation:
whats an object that is more than 1 foot but less than 2 feet
Answer:
1 foot and a half lol
Step-by-step explanation:
step
by
step
The objects which are more than 1 foot but less than 2 feet are of the measurements 1.1 feet, 1.2 feet, 1.25 feet, and so on.
What are Measurements?Measurement is the method of comparing the properties of a quantity or object using a standard quantity.
Measurement is essential to determine the quantity of any object.
Given that,
We have to find the object which has the length of more than 1 foot but less than 2 feet.
Those objects will be having the measurements in between 1 foot and 2 feet.
1 foot is approximately 30.5 cm.
So, the object will be having the length of 30.5 cm to 61 cm.
Hence the required objects will be having the length in between 30.5 cm to 61 cm.
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Factor as the product of two binomials.
x^2+14x+49=
Answer:
( x + 7 ) ( x + 7 )
Step-by-step explanation:
Product = 49
Sum = 14
Factors = 7 & 7
x² + 14x + 49
( x + 7 ) ( x + 7 )
Answer:
Step-by-step explanation:
x² + 14x + 49 = x² + 7x + 7x + 7*7
= x*( x+ 7) + 7*(x + 7)
= (x + 7)(x + 7)
Can you plz help with this question ASAP!!!?
Answer:y=2/3x
Step-by-step explanation:
What value of X and Y will make all 3 lines parallel?
Answer:
x = 19
y = 14
so c is the correct answer
Step-by-step explanation:
for them to be parallel, 5x + 15 has to equal 110 because of the 70 on the opp side making the two supplementary, and 5y has to equal 70
so 5y = 70, making y = 14
then 5x + 15 = 110
to 5x = 95
so x = 19
This table shows the areas of different garden plots in square meters.
This table shows the areas of different garden plots in square meters.
Create a line plot to display the data.
To create a line plot, hover over each number on the number line. Then, click and drag up to plot the data.
Area (m²)
Create a line plot to display the data.
To create a line plot, hover over each number on the number line. Then, click and drag up to plot the data.
Area (m²)
5.5 6.5 6.0 6.0 6.5 6.0 6.5
7.0 5.5 6.5 5.5 6.0 7.0 5.5
5.5 6.5 6.0 6.5 6.5 6.0 7.0
Answer:
5.5 goes up 5 times 6.0 goes up 6 times 6.5 goes up 7 times and 7.0 goes up 3 times.
Step-by-step explanation:
Which graph represents a function that has the domain (–∞, –4) ⋃ (–4, 3) ⋃ (3, ∞), has a y-intercept at (0, 3), and is increasing on the interval (0, 4)?
A, B, C, or D?
EDIT: The answer is C. I guessed right.
The answer to this question is C.
The y-intercept of a graph is the point, where the graph crosses the y-axis.
The graph with the given details is graph (c)
The given parameters are:
[tex]\mathbf{Domain = (-\infty,4)\ u\ (-4,3)\ u\ (3,\infty)}[/tex]
[tex]\mathbf{y-intercept = (0,3)}[/tex]
[tex]\mathbf{Increasing\ interval = (0,4)}[/tex]
From the list of given options. graph (d) has a y intercept of 2, because it crossed the y-axis at y = 2.
So, graph (d) cannot be the required graph
Graph (a) has a domain of: [tex]\mathbf{(-\infty,5),,,,,}[/tex]
So, graph (a) cannot be the required graph
The domain of graph (b) is [-3,3]
So, graph (b) cannot be the required graph
Hence, the required graph is graph (c)
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Translate radical expressions into expressions with rational exponents, and vice versa. Simplify numerical
expressions when possible.
6.(2x). O
04 - 0
Answer:
a) ([tex]\sqrt[n]{x}[/tex]) the n will be 5 the x will be (-32/243)^2.
b) written the same as a. except the c will replace the n and x will be (2y)^b.
c) the answer will be 0.4^3.
d) the answer would be (st)^v/u.
Hope this helps!
Brainliest?
HELP!!! Can someone answer this question for me??
Determine ratio of A to B. Round as indicated.
A = 36 π square inches is the area of a circle with diameter 12 inches . B = 144 square inches is the area of a square with sides of length < 12 inches .
a.) 4/π b.) 6/π c.) π/4 d.) π/6
Answer:
c.) π/4
Step-by-step explanation:
Form the desired ratio and simplify:
A / B = circle area / square area
= (36π)/(144) = (π·36)/(4·36) = π/4 . . . . matches choice C
the area of a parallelogram is 64 ft2. if the base of the parallelogram is 8 feet , what is its height? 8feet,9feet,10feet and 11feet.
Answer:8 ft
Step-by-step explanation:base is equal to 8ft and the area is 64ft so
Area of parallelograms =base×height
64=8×height
64÷8=HEIGHT
8
Answer:
Your real answer is
16
10
160
Solve for B
A = 1/2bh
Answer:
2A/h = b
Step-by-step explanation:
A = 1/2bh
Multiply each side by 2
2A = 2*1/2bh
2A = bh
Divide each side by h
2A/h = bh/h
2A/h = b
Answer:
B = 2[tex]\frac{A}{H}[/tex]
Step-by-step explanation:
A = 1/2 BH
Divide by H on both sides.
To get: A/H = 1/2B
Multiply 2 on both sides.
To get 2[tex]\frac{A}{H}[/tex]= B
What is the length of BC?
9 units
11 units
15 units
16 units
Step-by-step explanation:
Can you post the picture of the question or add more details?