Answer:(4,-1.5)
Step-by-step explanation:
You’d be adding 5,-0.5 to the respective coordinates. Point F’ is located at -1,-1 so you’d be adding 5 to -1 for the x coordinate and -0.5 to -1 for the y coordinate.
which factors can be multiplied together to make the trinomial 5x^2+8x-4
Answer:
Step-by-step explanation:
hello :
5x²+8x-4 quadratic expression when : a = 5 and b=8 and c= -4
∆ = b²-4ac ∆ = 8²-4(5)(-4) = 64 +80 = 144 = 12²
X1 = ( -b -√∆)/2a X1 = (-8-12)/10 = -20/10= -2
X2 =(-b+√∆)/2a X2 = (-8+12)/10 = 4/10 = 2/5
us factorisation : a(X-X1)(X-X2)
5x²+8x-4= 5(x+2)(x-2/5) = (x+2)(5x-2)
you can verify ; (x+2)(5x-2) = 5x²-2x+10x-4 = 5x²+8x-4
The trinomial [tex]5x^2+8x-4[/tex] can be factored into two binomials (5x + 4) and (x - 1), which when multiplied together, produce the original trinomial.
To factor the trinomial [tex]5x^2+8x-4[/tex], we are looking for two binomials that when multiplied together will give us this trinomial.
The process of factoring involves reversing the distributive law and turning the expression back into factors (multiples). To do this, we look for two numbers that multiply to give the product of the coefficient of x² term (which is 5) and the constant term (which is -4), and that also add up to give the coefficient of the x term (which is 8).
Let's find the factors:
Factors of 5x² are 5x and x.
Factors of -4 that add up to +8 when multiplied by the corresponding factors of 5 can be 4 and -1, since (5x)(-1) + (x)(4) = -5x + 4x = -1x.
Therefore, the binomials we are looking for are (5x + 4) and (x - 1).
When you multiply (5x + 4) and (x - 1) together, it will result in the original trinomial 5x²+8x-4.
Quadrilateral RSTV is a rectangle, and the diagonal intersect at W. Find the value of X and Y.
Answer:
x = 3
y = 14
Step-by-step explanation:
VR = TS VT = RS (Rectangle)
y = x + 11
y - 3x = x + 2
y = 4x + 2
x + 11 = 4x + 2
3x = 9
x = 3
y = 14
What is the value of z so that’s -9 and 9 are both solutions of x^2+z=103
Answer:
we have been given that x=-9 and x=9 then putting two values of x in the given equation we can find the value of z. I've got the value of z as 22
Step-by-step explanation:
The given equation is :
x^2+z=103
If we put x as (-9) ,
(-9)^2+z = 103
or, 81 +z = 103
or, z= 103-81
or,z=22 (Answer)
Now , again if we put x as 9,
9^2+z=103
or, 81+z=103
or,z=103-81
or,z=22 (Answer)
THEREFORE THE VALUE OF Z IS 22
The parallel sides of a trapezoid measure 13.5 inches and 6.5 inches. The legs of the trapezoid are 4 inches and 7 inches. The height of the trapezoid is 3 inches. Find the perimeter of the trapezoid. *
Answer:
31 inches. Add all the sides together. The height is not needed. 6.5+13.5+4+7=31 inches.
Step-by-step explanation:
Answer:
Perimeter = 13.5 + 6.5 + 4 + 7
= 31 inches
Step-by-step explanation:
PLEASE HELP!!!! What is the absolute value of 5.9?
Answer:
5.9
Step-by-step explanation:
The absolute value of a number is its distance from zero on the number line, without considering direction. Hence, the absolute value of 5.9 is 5.9 itself.
Explanation:The absolute value of a number is its distance from zero on the number line, regardless of direction. In other words, it's the number without any sign (either positive or negative).
As for your question, the absolute value of 5.9 is simply 5.9.
That's because 5.9 is already a positive number, and its distance from zero is 5.9 units on the number line. Absolute values are always non-negative (0 or positive), so the absolute value of any positive number is the number itself.
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What is the factored form of the polynomial 27x²y - 43xy??
xy(27x – 43y)
x?y?(27 – 43)
3xy(9x – 17y)
3x?y(9 – 14y)
Answer: xy (27x - 43y)
Step-by-step explanation:
After stepping into a room with unusual lighting, Erik's pupil has a radius of 4 millimeters. What is the pupil's area?
The area of the pupil can be found using the formula for the area of a circle (Area = π × r²). When you substitute the given radius (4mm), the pupil's area comes out to be approximately 50.27 square millimeters.
Explanation:To calculate the area of a circle which in this case is the pupil, you need to use the formula, Area = π × r², where r is the radius of the circle. Here, the radius (r) of the pupil is 4 millimeters. Substituting r = 4 mm in the formula we get:
Area = π × (4 mm)²
Area = π × 16 mm²
So, the area of the pupil is 16π mm², which is about 50.27 mm² when calculated. Please note that the unit of the area is square millimeters since we are calculating the area.
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The pupil's area can be calculated using the formula A = πr^2, where r is the pupil's radius, the area is 50.27 square millimeters.
Explanation:The area of a circle can be calculated using the formula A = πr2, where A is the area and r is the radius of the circle. In this case, the pupil's radius is given as 4 millimeters, so we can substitute this value into the formula.
A = π(4 mm)2 = π16 mm2
Therefore, the pupil's area is approximately 50.27 square millimeters.
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Average rooms cleaned per maid day is determined by a) number of rooms occupied divided by number of 8-hour maid shifts. b) number of rooms occupied divided by total number of housekeepers. c) number of shifts multiplied by the number of rooms. d) number of housekeepers multiplied by average number of rooms occupied.
Answer:
B
Step-by-step explanation:
Average rooms cleaned per housekeeper day: The average number of rooms cleaned per housekeeper day is performance ratio that gives an idea of how many rooms each housekeeper cleaned.
Average rooms cleaned per housekeeper day = [tex]\frac{ Number of rooms occupied}{Number of full-time housekeepers}[/tex]
Which pair shows equivalent expressions?
2 (two-fifths x + 2) = 2 and two-fifths x + 1
2 (two-fifths x + 2) = four-fifths x + 4
2 (two-fifths x + 4) = Four-fifths x + 2
2 (two-fifths x + 4) = 2 and two-fifths x + 8
Answer:c
Step-by-step explanation:
I think
dentify the parts of the following algebraic expression.
-8z + 1
2
y - 7.7
Term:
Variable:
Coefficient:
Constant:
The algebraic expression -8z + 1 consists of terms (-8z and 1), a variable (z), a coefficient (-8), and a constant (1), enriching the understanding of algebraic expressions.
Explanation:The question identify the parts of the following algebraic expression: -8z + 1 is focused on dissecting an algebraic term to its fundamental components. The expression – 8z + 1 has several parts to be identified:
Term: The terms in the expression are – 8z and 1. Terms are individual parts of an expression separated by + or – signs.Variable: The variable in the expression is z. Variables represent unknown values and can change.Coefficient: The coefficient in the expression is –8. Coefficients are numbers used to multiply a variable.Constant: The constant in the expression is 1. Constants are fixed numbers that do not change.The identification of each part of an algebraic expression helps in understanding and solving mathematical equations effectively.
The algebraic expression -8z + [tex]\frac{1}{2}[/tex]y - 7.7 has -
Terms: -8z, [tex]\frac{1}{2}[/tex]y, and -7.7Variables: z and yCoefficients: -8 and [tex]\frac{1}{2}[/tex]Constant: -7.7In the algebraic expression -8z + [tex]\frac{1}{2}[/tex]y - 7.7, we can identify the terms, variables, coefficients, and constants as follows:
Terms: These are the individual parts of the expression separated by plus or minus signs. In this expression, the terms are -8z, [tex]\frac{1}{2}[/tex]y, and -7.7.Variables: These are the symbols representing unknown values in each term. Here, the variables are z and y.Coefficients: These are the numerical factors multiplied by the variables. In the expression, the coefficients are -8 (for the term -8z) and [tex]\frac{1}{2}[/tex] (for the term [tex]\frac{1}{2}[/tex]y).Constant: This is a term without any variable, which is just a fixed number. In the given expression, the constant is -7.7.Understanding these parts is essential for simplifying expressions and solving algebraic equations effectively.
Complete question:
Identify the parts of the following algebraic expression.
-8z + [tex]\frac{1}{2}[/tex]y - 7.7
Term:Variable:Coefficient:Constant:Jeremy caught 8 fish in a contest.
The mean weight of the fish was 4.3125 kg.
He forgot to make his own record of the weight of the last fish,
but the first 7 were: 4.3 kg, 5.3 kg, 6.8 kg, 2.6 kg, 3.2 kg, 4.4 kg and 4.8 kg
What was the weight of the last fish?
kg [2]
The weight of the last fish was 3.1 kg. It's found by subtracting the sum of the weights of the first 7 fish from the sum of all weights.
To find the weight of the last fish, we can use the mean weight formula:
[tex]\[\text{Mean weight} = \frac{\text{Sum of all weights}}{\text{Number of fish}}\][/tex]
Given:
- Jeremy caught 8 fish.
- The mean weight of the fish was 4.3125 kg.
- The sum of the weights of the first 7 fish is [tex]\(4.3 + 5.3 + 6.8 + 2.6 + 3.2 + 4.4 + 4.8\).[/tex]
First, let's calculate the sum of the weights of the first 7 fish:
[tex]\[4.3 + 5.3 + 6.8 + 2.6 + 3.2 + 4.4 + 4.8 = 31.4\text{ kg}\][/tex]
Now, let's find the sum of all weights of the 8 fish:
[tex]\[4.3125 \times 8 = 34.5\text{ kg}\][/tex]
To find the weight of the last fish, we subtract the sum of the weights of the first 7 fish from the sum of all weights:
[tex]\[34.5 - 31.4 = 3.1\text{ kg}\][/tex]
So, the weight of the last fish was 3.1 kg.
What is the value of n when (9)^2n-1 =(27)^n+2
Answer:
n = 8
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
Given
[tex](9)^{2n-1}[/tex] = [tex](27)^{n+2}[/tex], then
[tex](3^2)^{2n-1}[/tex] = [tex](3^3)^{n+2}[/tex]
[tex]3^{4n-2}[/tex] = [tex]3^{3n+6}[/tex]
Since the bases on both sides are equal, both 3 then equate the exponents
4n - 2 = 3n + 6 ( subtract 3n from both sides )
n - 2 = 6 ( add 2 to both sides )
n = 8
Answer:
n = 8
Step-by-step explanation:
9²ⁿ⁻¹ = 27ⁿ⁺²
(3²)²ⁿ⁻¹ = (3³)ⁿ⁺²
3⁴ⁿ⁻² = 3³ⁿ⁺⁶
4n - 2 = 3n + 6
4n - 3n = 6 + 2
n = 8
I need help asap i am confused
Answer:
the top one (-40)8 is the correct answer
Andrea makes the claim that 20% of the states have
populations of at least 10 million people.
Is she correct?
Yes
No
Explain your thinking.
Share with Class
In order to confirm Andrea's claim that 20% of U.S. states have populations of 10 million or more, we'd need to refer to updated population census data. The number of states that comply to this number would validate or invalidate her claim.
Explanation:To determine whether Andrea's claim that 20% of the states have populations of at least 10 million people is correct, we would need to refer to updated census data. As of the most recent U.S. census, there are 50 states in the United States. If 20% of them had populations of at least 10 million, that would mean that 10 states meet this criteria. Checking the census data, we can see whether this number is accurate or not and thus confirm or deny Andrea's claim.
For example, if only 8 states had a population of over 10 million, Andrea's claim would be incorrect. On the other hand, if 15 states had a population of over 10 million, her claim would also be incorrect, but it would be an underestimation rather than an overestimation. Therefore, without specific data, we cannot unequivocally say whether Andrea's claim is correct.
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Is the product of two positive numbers negative?
Answer:
Product (Multiplication) always needs a negative to be negative
Step-by-step explanation:
16 is what percent of 25?
Answer
64%
Step-by-step explanation:
cross multiply
16/25 = x/100
16 X 100 = 1600
25x=1600
/25 /25
that = 64 which is 64%
16 is 64.0% of 25.
To determine what percent 16 is of 25, follow these steps:
Identify the given values:
• The part (numerator): 16
• The whole (denominator): 25
Set up the percentage formula:
[tex]\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100[/tex]
Substitute the given values into the formula:
[tex]\text{Percentage} = \left(\frac{16}{25}\right) \times 100[/tex]
Perform the calculation:
[tex]\text{Percentage} = \left(0.64\right) \times 100 = 64.0[/tex]
PLEASE SOMEONE HELP ME WITH THIS! NO ONE CAN FIGURE IT OUT AND ILL GIVE YOU 60 POINTS PLUS BRAINLIEST IF YOU CAN HELP ME! please do not copy and paste or even comment just for the points, i really need help.
A) Variables:
X = number of weeks she puts money into the account.
Y = total amount in account after x weeks.
B) m would be the amount she puts in per week, b is the starting amount she has in the account
Y = 5x + 40
C) replace x with the x values in the cart and solve for y:
O : y = 40. Coordinates (0,40)
1: Y = 45. (1,45)
2: 50, (2,50)
3: 55, (3,55)
4: 60, (4,60)
D) make the graph using the above points
E) y intercept is when x is 0, which is 40. This was the starting value of how much money was saved.
Answer:
DO you still need help? Considering this was posted a long time ago.
Step-by-step explanation:
given that y varies directly with x in the table find the value of y if the value of x is 5
Answer:
15
Step-by-step explanation:
Sarita is selling lemonade in 400 milliliter bottles she made two batches of lemonade each batch made 16.3 liters of lemonade how much lemonade will she have left over after filling the bottles
Answer: She will have 200 milliliters of lemonade left after filling the bottles.
Step-by-step explanation:
Hi, since 1 liter = 1000 milliliters
For 16.3 liters: 16.3 x 1000 = 16,300 milliliters (1 batch)
She made 2 batches.
16,300ml x2 = 36,600 milliliters
We have the total amount of lemonade in two batches; we have to divide it by the capacity of each bottle (400 ml), to calculate how many bottles she can fill.
36,600 milliliters / 400 milliliters = 81.5 bottles
She can fill 81 bottles and she will have a leftover of half a bottle.
Since each bottle is 400 milliliters, half of it:
400/2 = 200 milliliters
She will have 200 milliliters of lemonade left after filling the bottles.
A machine drops 74 milliliters of liquid into a beaker every minute. Using an empty beaker, Sarah started the machine and left the room. When she returned, the beaker had 1,850 milliliters of liquid in it. Select the correct operation that can be used to find the time in minutes, m, that Sarah was out of the room, and then find the value of m. Sarah was out of the room for minutes.
Answer:
Division, you can divide the total amount of total milliliters buy the number of milliliters dropped every minute. 1850/74= 25. So m= 25. Sarah left the room for 25 minutes
Step-by-step explanation:
pls mark me brainliest
True or False?
You can use an equilateral triangle in front of the three letter points to name a triangle.
True.
I'm not sure if it's right or not
Answer:
True
Step-by-step explanation:
I am not sure if it's right or not
Find the circumferences of both circles to the nearest tenth.
I need to The circumference of the blue circle and The circumference of the orange circle please and thank you!
Answer:
Step-by-step explanation:
C=pi (d) circumference = pi (3.14) times the diameter which is 10, because the radius 5 and diameter is twice the radius..........
you can also use Formula C=2pi r which will give you the same answer.
31.4 cm for orange circle
the diameter (all the way through the center of the circle) for blue circle would be 20
C=pi (d) 3.14 times 20= 62.8 cm for blue circle
The circumferences of both circles to the nearest tenth is 31.4 cm for the orange circle and 62.8 cm for the blue circle.
Calculation of the circumference:Since the diameter is 10 so the radius is 5
Now for the orange, it should be
= 2(3.14) (5)
= 31.4 cm
And, for the blue circle, it should be
= 2(3.14) (20)
= 62.8
Hence, The circumferences of both circles to the nearest tenth is 31.4 cm for the orange circle and 62.8 cm for the blue circle.
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Jacob makes 20 baskets for every 35 times he shoots the ball. What is the ratio of baskets he makes to baskets he misses? Write an equivalent ratio by simplifying.
Answer:
ratio = 4/3 = 1.3333
Step-by-step explanation:
If Jacob makes 20 baskets for every 35 times he shoots the ball, that means he misses 35 - 20 = 15 shoots for every 35 shoots.
So, to calculate the ratio of baskets he makes to baskets he misses, we just need to divide these values:
baskets he makes = 20 for every 35
baskets he misses = 15 for every 35
ratio = 20 / 15 = 4 / 3 = 1.3333
A multiplier is the amount by which a change in any component of _____ is magnified or multiplied to determine the change in _____ and _____ that it generates.
Answer:
Autonomous Expenditure ; Equilibrium expenditure ; Real GDP
Step-by-step explanation:
A multiplier is the amount by which a change in any component of Autonomous Expenditure is magnified or multiplied to determine the change in Equilibrium Expenditure and Real GDP that it generates.
Multiplier = Change in Equilibrium Expenditure of Real GDP
Change in autonomous expenditures
(government expenditure, autonomous taxes)
What is the value of x in the equation 8 + 4 = 2 (x minus 1)?
A.5
B.StartFraction 11 Over 2 EndFraction
C.StartFraction 13 Over 2 EndFraction
D.7
Answer:
It is actually 7
Step-by-step explanation:
yup :)
The number of laughs (denoted by L) can be defined as a function of the number of jokes (denoted by J), the amount of knowledge about the joke material (denoted by K), and the familiarity with the jokes (denoted by F) using this formula: L=J⋅K2F L, equals, start fraction, J, dot, K, squared, divided by, F, end fraction Select an appropriate measurement unit for number of laughs.
Answer:
(A) [tex](Jokes * Knowledge^2) / Familiarity[/tex]
Step-by-step explanation:
The number of laughs (denoted by L) is a function of
The number of jokes (denoted by J), The amount of knowledge about the joke material (denoted by K).Given [tex]L=\frac{J\cdot K^2}{F}[/tex]
The appropriate measurement unit for number of laughs will be:
[tex](Jokes * Knowledge^2) / Familiarity[/tex]
Solve the inequality.
8+8(x + 4) >32
The solution is
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form: x > - 1
Step-by-step explanation:
Answer:
x > -1
Step-by-step explanation:
To solve, we must isolate the variable, x
8+8(x + 4) >32
Distribute the 8
8+ 8*x +8*4
8+8x+ 32 >32
Combine like terms
8+32 +8x >32
40 + 8x >32
Subtract 40 from both sides
8x > -8
Divide both sides by 8
x > -1
Kel has 6 nickels, 2 dimes and 4 quarters in his pocket. What is the likelihood that Kel will choose a nickel from his pocket?
A. impossible
B. likely
C. as likely as not
D. certain
Answer:
B likely
Step-by-step explanation:
the probability is 1/2 because there are 12 coins and 6 of them are nickels
What is the length of a rectangle with width 18 in, and area 135 in 2?
Answer: The length of a rectangle would be 7.5
Step-by-step explanation:
To find the length is [tex]l = \frac{A}{w}[/tex]
-Solve:
[tex]l=\frac{135}{18}[/tex]
-Divide 135 by 18 and you get 7.5
[tex]\frac{135}{18} = 7.5[/tex]
-Result:
[tex]l= 7.5[/tex]
HELP
Find the value of two numbers if their sum is 5 and their difference is 30
Answer:
The 2 numbers are -12.5 and 17.5.
Step-by-step explanation:
Let 1 number be x then x - y = 30 where the other number is y.
y = x - 30 so the sum is:
x - 30 + x = 5
2x = 35
x = 17.5
and y = 17.5 - 30 = -12.5.
Answer:
17.5 and -12.5
Step-by-step explanation: