Answer:
Since 7 and 11 are both rational, the sum and difference are rational.
Step-by-step explanation:
A. Since 7 and 11 are both rational, the sum and difference are rational.
B. Since 14 and 11 are both rational, the sum and difference are rational.
C. Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational.
D. Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.
p² – 14p – 72 = 0
p² – 14p = 72
p² – 14p + 49 = 72 + 49
p² - 14p + 49 = 121
(p - 7)² = 121
find the square root of both sides
√(p - 7)² = √121
p - 7 = ±11
p = +11 - 7 or p = -11 - 7
p = 4 or -18
help anyone?? need to get this done
Answer:
The statue is 10cm tall in Kia's drawing.
Step-by-step explanation:
We know the statue is 80ft tall, as Bob's drawing was 1cm to 5ft and his drawing was 16cm tall. 16 x 5 = 80ft.
Because the new scale is 1cm to 8ft, you divide the 80ft tall statue with 8, and that leaves you with a 10cm tall replica statue.
Answer:
10 cm
Step-by-step explanation:
From $16 to $4
Percent decrease
Answer:
75%
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
The difference is $12 so let's calculate the percent of 12 to 16:
12/16 = 0.75 = 75%
ckdksksksk i need hellll yal plsss
Answer:
Its B (3,-4)
When rotating at point 180 degrees the equation for that is (-x,-y) so in this case (-3,4)
3 turns into a positive because two negatives equal a positive
and 4 turns into a negative
have a nice day :)
Do the ratios 11/6 and 23/9 form a proportion
NO
11/6 = 1. 8333
23/9= 2. 555
[tex]{hope it helps}}[/tex]
#CarryOnLearning
A basketball free throw can be modeled by a parabolic path, which can be represented by the function b(x) = - 0.25 x^2 + 4x, where x is time, in seconds, and b(x) is the height of the ball off the ground in feet.
What is the VERTEX and what do the coordinates mean in the context of the problem?
please solve algebraically
Answer:
The vertex of this problem is (8,16). This means that the highest height the ball reaches is at t = 8s, and this maximum height is of 16 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
b(x) = - 0.25 x^2 + 4x
Quadratic equation with [tex]a = -0.25, b = 4[/tex].
Vertex:
[tex]x_{v} = -\frac{4}{2(-0.25)} = 8[/tex]
[tex]\Delta = 4^2-4(-0.25)(0) = 16[/tex]
[tex]y_{v} = -\frac{16}{4(-0.25)} = 16[/tex]
The vertex of this problem is (8,16). This means that the highest height the ball reaches is at t = 8s, and this maximum height is of 16 feet.
Given that tanx=-3/4 find sinx and cos x
HOPE IT HELPS MUCH
[tex]{{clickphoto2see}}the \: arnswer}}[/tex]
Solve: y = 2x. y = -x+3. Write the coordinates (__, __)
Answer:
(1,2)
Step-by-step explanation:
y = 2x. y = -x+3
Set the two equations equal
2x = -x+3
Add x to each side
2x+x = -x+x+3
3x = 3
Divide by 3
3x/3 = 3/3
x = 1
Now find y
y =2x = 2(1) = 2
(1,2)
Solve like how you solve the system of equations. System of Equations are to find the intercept of both graphs or to find which coordinate points are solution to both equations.
We are given the equations below:
[tex] \large{ \begin{cases} y = 2x \\ y = - x + 3 \end{cases}}[/tex]
Since both equations are y-isolated and we want to find the coordinate point that both equations have or the coordinate point that is a part of two equations.
[tex] \large{2 x = - x + 3}[/tex]
Isolate the x-term by adding both sides by x.
[tex] \large{2x + x = - x + 3 + x} \\ \large{3x = 3}[/tex]
Divide both sides by 3 so we can finally get the x-isolated equation.
[tex] \large{ \frac{3x}{3} = \frac{3}{3} \longrightarrow x = 1 }[/tex]
Next step is to find the value of y. x-term and y-term both have relations. That means when substituting x-term, we get y-term. Therefore, substitute x = 1 in any given equations. It is not necessary to substitute both, only one is fine. I will choose the first equation to solve for y-value.
[tex] \large{y = 2x}[/tex]
Substitute x = 1:
[tex] \large{y = 2(1) \longrightarrow y = 2}[/tex]
The value of y is 2 when x is 1. Since we want the answer to be in coordinate form or ordered pair. From (x,y) - we get (1,2).
Answer
(1,2) is the solution.I hope this helps! Let me know if you have any questions or doubts. Do not hestitate to ask if you've got a question. Good luck on your assignment and have a great day!
Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?
(x2 – 7)(x – 5)
(x2 – 7)(x + 5)
(x2 – 5)(x – 7)
(x2 + 5)(x – 7)
Answer:
Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?
(x2 – 7)(x – 5) (x2 – 7)(x + 5) (x2 – 5)(x – 7) <<<CORRECT (x2 + 5)(x – 7)
Step-by-step explanation:
Edge 2021
Polynomial is an expression that consists of indeterminates(variable) and coefficients. The correct option is A.
What are polynomials?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
For the given expression x³ – 7x² – 5x + 35 the factorisation by grouping can be done as,
x³ – 7x² – 5x + 35
Take x² as common from the first two terms, while -5 as common from the last two terms,
= x²(x – 7) –5(x – 7)
Take (x–7) as the common term from the two terms,
= (x² – 5)(x – 7)
Hence, the correct option is A.
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2. The Vasco da Gama Bridge in Lisbon, Portugal, includes a trapezoid as part of
its structure (pictured above). The bridge's roadway goes through the median of
the trapezoid. If the bases of the trapezoid measure 22 m and 38 m, what is the
approximate width of the bridge's roadway? Explain how you got your answer.
Answer:
30 m
Step-by-step explanation:
Midsegment of a Trapezoid
[tex]\frac{(Base_{1}) +( Base_{2}) }{2}[/tex]
[tex]\frac{12 + 38}{2}[/tex]
[tex]\frac{60}{2}[/tex]
30
Average of the top and bottom = the middle
What is the longest math problem in the world?
PLEASE HELP ME I WILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
realtionship between distance and time is
distance=time/3
a.distance=time/3
129*3=time
387 s =time
Answer:
387
Step-by-step explanation:
129x3=387
En el cumpleaños de Manolito se inflaron 144 globos. Los 2/9 de los globos eran rojos; los 5/18, verdes y 1/6 eran amarillos. ¿Cuántos globos eran de otros colores?
Answer:
48 globos
Step-by-step explanation:
De la pregunta anterior, se nos dice que:
En el cumpleaños de Manolito se inflaron 144 globos.
Por eso:
Para globos rojos
2/9 de los globos eran rojos
Número de globos rojos = 2/9 × 144 globos
= 32 globos
Para globos verdes
5/18 eran verdes
Número de globos verdes = 5/18 × 144 globos
= 40 globos
Para globos amarillos
1/6 eran amarillas
Número de globos amarillos = 1/6 × 144 globos
= 24 globos
Tenga en cuenta que:
Número total de globos =
Globos rojos + Globos verdes + Globos amarillos + Otros colores
Otros colores = 144 globos - (globos rojos + globos verdes + globos amarillos)
Otros colores = 144 globos - (32 + 40 + 24) globos
= 144 globos - 96 globos
= 48 globos
Por lo tanto, la cantidad de globos que son de otros colores = 48 globos
can someone help me identify c(6)=
Answer and Step-by-step explanation:
To solve, simply plug 6 in for m in the equation.
C(6) = 50(6) + 79.50
6 times 50 is 300.
300 + 79.50 = 379.50 = C(6)
The answer is 379.5
(Looking at the question again, I don't think what I said is what it is asking for, soo)
The slope of the function given represents the amount that needs to be paid every month. The y-intercept (79.50) represents the initial cost (starting amount) for paying the membership.
#teamtrees #PAW (Plant And Water)
the three points A(0,0,0), B(2,-3,3) C(-2,3,-3) are collinear. find in what ratio each point divides the segment joining the other two.
Answer:
pls provide diagram
it will hep
Both Eli Manning and Peyton Manning won 2 super bowls-
True
or
False
Answer:
-true
Step-by-step explanation:
I'm correct if I'm rwong
The Really Spicy Hot Sauce Company decides to make a special-edition, extra-spicy version of its Really Spicy Hot Sauce. Expected demand for the special-edition version of their hot sauce is estimated to be 5000, normally distributed with a standard deviation of 1200. It will cost $2.50 to make each bottle; the bottles are intended to sell for $20. Whatever doesn't sell will be given to employees as a gift, thus earning $0 in revenue. Because it takes 3 years for the hot sauce to fully ferment and mature, the Really Spicy Hot Sauce Company can only make one batch of the special-edition hot sauce. How many bottles should the company make in order to maximize their expected profit? ______________
A man borrows $500 and agrees to repay $750 at the end of 4 years. What is the rate of simple interest charged?
Answer:
The rate of simple interest is 0.125, or 12.5%.
Step-by-step explanation:
If the man must repay $750 after 4 years on a $500 loan, the simple interest would be ($750-$500), or $250.
The simple interest formula is i = p*r*t. Solving this for the interest rate, r, yields
i
r = ----------
p*t
and so, with i = $250, p = $500 and t = 4 yr, we find r as follows:
$250
r = ----------------- = 0.125
$500*4
The rate of simple interest is 0.125, or 12.5%.
What is the value of a in the equation 3 a plus b equals 54, when b equals 9?
Answer:
a + b = 54
a + 9 = 54
Use inverse operations to solve
Step-by-step explanation:
Show that triangle FUN is isosceles.
an isosceles triangle is a triangle that has two sides of equal length
FU = 7 units
UN = 5 units
FN = 7 units
FU = FN
FU ≠ UN
FN ≠ UN
FUN is an isosceles triangle.
Which expression is equivalent to 16 - 4x^2?
Answer:
4(2 - x)(2 + x)
Step-by-step explanation:
16 - 4x² ← factor out 4 from each term
= 4(4 - x²) ← difference of 2 squares
= 4(2 - x)(2 + x) ← in factored form
A baseball card was worth $120. Each year for x years, the card’s value, y, in dollars, decreased by $10. The owner sold the card after 5 years.
The value of the card can be modeled using a linear function. What is the domain of the function?
The value of the card can be modeled using a linear function. The domain of the function is 5.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
A baseball card was worth $120.
Each year for x years, the card’s value, y, in dollars, decreased by $10. The owner sold the card after 5 years.
y = $120 - $10(5)
y = $150
domain = x or 5
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PLZ ANSWER FAST!
An apple is launched directly upward at 64 feet per second from an 80-foot tall platform. The equation for this apple’s height, h, at time t seconds after launch is h = -16t2 + 64t + 80.
a. Find the maximum height of the apple.
b. How many seconds will it take for the apple to reach the ground
Answer:
144 feet
5 seconds
Step-by-step explanation:
a.
we want the maximum (or the vertex)
-64/-32= 2
-16*2²+64*2+80=144
b.
Here we want the point in which the y=0
In other words, we want the x-intercept
-16x²+64x+80= -16(x-5)(x+1)
so we have
(5,0) and (-1,0)
reject the negative answer to get 5 seconds
A) the maximum height of the apple is 144 feet. B) it will take 1 second for the apple to reach the ground.
How to determine How many seconds will it take for the apple to reach the ground
a. To find the maximum height of the apple, we need to determine the vertex of the parabolic equation. The vertex represents the maximum point of the parabola.
The equation for the height of the apple is given as h = -16t^2 + 64t + 80.
To find the t-value at the vertex, we can use the formula t = -b / (2a), where a, b, and c are the coefficients in the equation.
In this case, a = -16 and b = 64. Substituting these values into the formula:
t = -64 / (2 * -16)
t = -64 / -32
t = 2
So, the apple reaches its maximum height at t = 2 seconds.
To find the maximum height (h), we substitute the value of t = 2 into the equation:
h = -16(2)^2 + 64(2) + 80
h = -64 + 128 + 80
h = 144
Therefore, the maximum height of the apple is 144 feet.
b. To find the time it takes for the apple to reach the ground, we set h = 0 in the equation and solve for t:
0 = -16t^2 + 64t + 80
We can factor this equation or use the quadratic formula. Let's use the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = -16, b = 64, and c = 80. Substituting these values:
t = (-64 ± √(64^2 - 4(-16)(80))) / (2(-16))
t = (-64 ± √(4096 + 5120)) / (-32)
t = (-64 ± √9216) / (-32)
t = (-64 ± 96) / (-32)
We have two possible solutions:
t1 = (-64 + 96) / (-32) = 1
t2 = (-64 - 96) / (-32) = 5
Since the apple was launched upward, we consider the positive solution t1 = 1.
Therefore, it will take 1 second for the apple to reach the ground.
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What is the cost of 2 kilograms of flour if 3 kilograms cost $4.86 and the unit price for each package of flour is the same?
Answer: Your answer is on the bottom of the photo I used an online note table
Step-by-step explanation:
Answer:
I think the answer is $3.24.
Step-by-step explanation:
4.86 / 3 = 1.62
$1.62 is equal to how much 1 kilogram of flour would cost.
1.62 x 2 = 3.24
Hope this helped.
what are the factors of the expression below? 2bx+4by-3ax-6ay
Answer:
Step-by-step explanation:
2bx + 4by -3ax -6ay
= 2b (x +2y) - 3a (x +2y)
= (x +2y) (2b-3a)
4 1/2 plus 1 3/5 equal
Answer:
6 1/10
Step-by-step explanation:
If f(x) = 3x + 3, then f^-1 (x)=
Hello,
[tex]f(x)=3x+3 \Longleftrightarrow y=3x+3\\\\x=3*y+3 \Longleftrightarrow y=\dfrac{x-3}{3} \\\\\boxed{f^{-1}(x)=\dfrac{x-3}{3}}[/tex]
(75 points) need help now
Answer:
A is not a function
Step-by-step explanation:
In table A, the x value of 4 goes to two different y values
To be a function each x value can only go to one y value
A is not a function
Answer:
27 is the answer
Step-by-step explanation:
We have this proportion....
36 / 12 = x / 9 where x is the model door height
Cross-multiply
36*9 = 12 * x
324 = 12 *x divide both sides by 12
27 = x and that's the model height in centimeters
Kendra spent ⅓ of her allowance on a book and ⅖ on a snack. If she had four dollars remaining after purchasing a book and snack, what was the total amount of her allowance?
Answer: 15$
Step-by-step explanation:
Given
Kendra spent one-third of allowance on a book and two-fifth on snack.
If she had four dollar remaining after purchase
Suppose x is the original amount
[tex]\therefore x-\dfrac{x}{3}-\dfrac{2x}{5}=4\\\\\Rightarrow \dfrac{15x-5x-6x}{15}=4\\\\\Rightarrow 4x=60\\\Rightarrow x=15[/tex]
Thus, 15$ was her total allowance.
please helpp due soon!! 10 points :)
Answer:
[tex]2.3\:\mathrm{in^3},\\1.3\:\mathrm{fl\:oz}[/tex]
Step-by-step explanation:
The volume of a cone with radius [tex]r[/tex] and height [tex]h[/tex] is equal to [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex].
What we're given:
Since radius is half the diameter, [tex]r[/tex] is [tex]1.1[/tex] Height of [tex]1.8[/tex]Substituting given values, we get:
[tex]V=\frac{1}{3}\cdot 1.1^2\pi \cdot 1.8=0.726\pi\approx \boxed{2.3\:\mathrm{in^3}}[/tex]
Convert to fluid ounces using the conversion given in the question:
[tex]0.726\pi}\cdot \frac{0.554}{1}\approx \boxed{{1.3\:\mathrm{fl\:oz.}}}[/tex]
Is the answer a b or c
Answer:
Step-by-step explanation: A
Answer:
B
Step-by-step explanation:
10 to 4
4 divided by 2 = 2, 2 x 5 = 10
15 to 6
6 divided by 2 = 3, 3 x 5 = 15
35 to 14
14 divided by 2 = 7, 7 x 5 = 35