Simplify the expression.
Answer:
D
please mark brainiest
A canadian goose and a Great blue heron took off in opposite directions. The goose flew at 20 mph, and the heron flew at 10 mph. when they landed, they were 180 miles apart. Altogether, they flew for 14 hours. How long did each bird fly?
The Canadian goose flew for 4 hours and the Great blue heron flew for 10 hours
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let a represent the time flown by the goose and b represent the time flown by the heron. Hence:
a + b = 14 (1)
Also:
20a + 10b = 180 (2)
From equation 1 and 2:
a = 4, b = 10
The Canadian goose flew for 4 hours and the Great blue heron flew for 10 hours
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Alex has 84 quarters and nickels worth a total of $17.80.
Which equation can be used to find q, the number of quarters Alex has?
The equation which can be used to find the number of quarters and nickels is; n + q = 84, 0.05n + 0.25q = 17.80.
Quarters and nickelsTotal coins = 84Total value = $17.80let
Number of quarters = qNumber of nickels = nn + q = 84
0.05n + 0.25q = 17.80
From equation (1)
n = 84 - q
Substitute into (2)
0.05n + 0.25q = 17.80
0.05(84 - q) + 0.25q = 17.80
4.2 - 0.05q + 0.25q = 17.80
- 0.05q + 0.25q = 17.80 - 4.2
0.20q = 13.60
q = 13.60 / 0.20
q = 68
Substitute q = 68 into
n + q = 84
n + 68 = 84
n = 84 - 68
n = 16
Therefore, the number of quarters and nickels are 68 and 16 respectively.
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We spend 85 minutes a day in math class. How many hours would we spend in math class in a 9 week period
Answer:
we spend maths class in a. day =85m
.:we spend in a maths class in a 9 week period=85x9x7:- 24=223.125
A couple quick algebra 1 questions for 50 points!
Only answer if you know the answer, quick shout-out to Dinofish32, tysm for the help!
By the way the 2nd and 3rd attachments (or the ones with the chart filled out already) are my first 2 attempts, but I got both of them mostly all wrong. So please use those as what not to do lol. And the first attachment (without the chart filled out) is the actual question and the one I need to get answers for, tysm!
All the relevant transformations are as shown in the explanations below.
How to Interpret Transformations?We are given the original function as y = x and told the transformation is as follows;
1) y = x + 5; This means that the function was shifted 5 units to the left.
2) y = ³/₈x; This means that the function was vertically stretched by a scale factor of ³/₈.
3) y = -x - 2 or y = -(x + 2); This means that the function was first shifted by 2 units to the left before being reflected over the x-axis.
4) y = 6x + 1; This means that the function was stretched by a factor of 6 and then shifted 1 unit to the left.
5) y = x - 11; This means that the function was shifted 11 units to the right.
6) y = 8x; This means that the function was vertically stretched by a scale factor of 8.
7) y = -1/3x; This means that the function was horizontally stretched by a scale factor of 1/3.
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PLEASE HELP 80 POINTS !!!!!!!!
Answer:
Step-by-step explanation:
a) it is a reflection
b) it is vertex B"
An isosceles triangle has two equal sides. If two of the sides are 5 inches and 2 inches, what is the perimeter of the triangle
Step-by-step explanation:
12 inches
djaikfnshaidifb
ا سکول کے پرنسپل کے نام سکول میں ہم نصابی سرگرمیوں کا اہتمام کرنے کی درخواست ھیے ۔
Answer:
Step-by-step explanation:
Parallel cousins are found in the iroquois system of kinship and are defined as:________
Parallel cousins are found in the iroquois system of kinship and are defined as bifurcate merging.
Parallel cousins, or the offspring of one's mother's or father's brothers or sisters, were frequently referred to and regarded in the same way as one's siblings. Contrarily, cross-cousins, or the offspring of one's mother's brothers or father's sisters, were frequently regarded as the best source of children.
Bifurcate merging is the underlying idea of the Iroquois system. The ego divides his family into those on his mother's side and those on his father's side (bifurcation) and combines his father with his brother (A) and his mother with her sister (B) .
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x =_______ y =_______ 12. Find the values of x and y.
Answer:
Below in bold.
Step-by-step explanation:
Opposite angles of a quadrilateral i a circle are supplementary so
x = 180 - 112 = 68 degrees.
y = 180 - 81 = 99 degrees.
please help me with this problem
please show steps so i know for next time
=========================================================
Explanation:
You could use the AC method to factor this, but the quadratic formula is the most efficient route in my opinion. This will avoid any guess-and-check.
Compare the original equation to the form [tex]a\text{x}^2 + b\text{x} + c = 0[/tex]
We have a = 9, b = 6, and c = -8
Those values lead to...
[tex]\text{x} = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{x} = \frac{-6\pm\sqrt{(6)^2-4(9)(-8)}}{2(9)}\\\\\text{x} = \frac{-6\pm\sqrt{324}}{18}\\\\\text{x} = \frac{-6\pm18}{18}\\\\\text{x} = \frac{-6+18}{18} \ \text{ or } \ \text{x} = \frac{-6-18}{18}\\\\\text{x} = \frac{12}{18} \ \text{ or } \ \text{x} = \frac{-24}{18}\\\\\boldsymbol{\text{x} = \frac{2}{3} \ \text{ or } \ \text{x} = -\frac{4}{3}}\\\\[/tex]
Side notes:
2/3 = 0.667 approximately-4/3 = 1.333 approximatelySince your teacher did not give rounding instructions, I'll assume s/he wants the fraction form of each x value (rather than the decimal form). Be sure to follow all instructions given, and ask for clarification if need.To confirm the solutions, replace every copy of x with either 2/3 or -4/3 (pick one value only). Simplifying the left hand side should lead to 0. I'll let you check each answer.If you apply the changes below to the quadratic parent function, f(x) = x²
what is the equation of the new function?
• Shift 3 units right.
• Vertically stretch by a factor of 4.
• Reflect over the x-axis.
A. g(x) = -4(x+3)²
B. g(x) = -4(x-3)²
C. g(x) = (-4x - 3)²
D. g(x) = 4x²+3
The equation of the unique function exists g(x) = -4(x-3)².
What is a quadratic equation?The polynomial of degree two exists named a quadratic polynomial and the equation corresponding to a quadratic polynomial P(x) exists named a quadratic equation.
Given: F(x) = x²
The vertical stretch by a factor of 4 exists can be satisfied by (b)
if we use a vertical stretch, it transforms the y-values which causes it to seem skinnier when graphed.
Multiply 4 by f(x) which provides 4x².
As the reflection over the x-axis, so multiply it by -1 to f(x), which results in -4x².
Shift the graph right 3 which exists by moving it right, so by adjusting the x values indicating use f(x-3), to obtain this subtract the value from x when you move right, and add the value to x when you move left.
Hence, the unique graph would be g(x) = -4(x-3)²
Therefore, the correct answer is option B. g(x) = -4(x-3)².
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Determine the area of the figure.
Answer: (x + 11) cm²
Step-by-step explanation:
The formula for the area of a trapezoid is [tex]\frac{1}{2}(a+b)h[/tex], where
a and b are the lengths of the top and bottom sides, andh is the height of the figure.For this figure, [tex]a = 5[/tex] and [tex]b= x+6[/tex] (the top and bottom sides), while [tex]h=2[/tex] (the height).
If we suppose [tex]A[/tex] is the area, plugging these values in, we get
[tex]A = \frac{1}{2}(5 + x + 6)*2[/tex]
[tex]A = \frac{1}{2} * 2 * (x + 11)[/tex]
[tex]A = x + 11[/tex]
All the lengths are in cm, so the area will be (x + 11) cm².
Ayudaaaaaaa es para hoy:
Necesito saber cuanto es 389 pesos mexicanos con un 12% de rebaja,ayuda plis
El precio resultante con descuento de 12 % es igual a 342.32 pesos.
¿Cómo hallar el precio resultante con descuento?
En este problema tenemos que determinar el precio resultante, el cual es igual al precio inicial menos el descuento. A continuación, se presenta la siguiente expresión:
x = 389 · (1 - 12/100)
x = 389 - 46.68
x = 342.32
El precio resultante con descuento de 12 % es igual a 342.32 pesos.
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Find the length of the segment indicated. Assume that lines which appear to be tangent are tangent. Round to one decimal place if necessary.
Answer: 13.6
Step-by-step explanation: Use a theorem which exists s. then you use pythagoreom
The length of the segment indicated is 13.6
Finding the length of the segment indicated.From the question, we have the following parameters that can be used in our computation:
The circle
Assuming that lines which appear to be tangent are tangent, we have
?² = (2 * 6)² + 6.4²
Evaluate
?² = 184.96
So, we have
? = 13.6
Hence, the length of the segment indicated is 13.6
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( will give brainlyest)
A firework is launched from the ground at a speed of 160 feet per second. It’s height after t seconds is given by the polynomial -16t^2+160t. What is the height of the firework after 4 seconds?
answer the given questions please!
Solve the following quadratic by
completing the square.
f(x) = x² + 2x - 12
+√[]
x = [?] +
Answer:
{x = -1 + √13 , x = -1 - √13}
Step-by-step explanation:
Completing the square:
f(x) = x² + 2x - 12
= x² + 2x + 1 - 1 - 12
= (x² + 2x + 1) - 1 - 12
= (x + 1)² - 13
Solving:
f(x) = 0
⇔ (x + 1)² - 13 = 0
⇔ (x + 1)² = 13
⇔ x + 1 = √13 or x + 1 = -√13
⇔ x = -1 + √13 or x = -1 - √13
PLEASE HELP CORRECT ANSWER GETS BRAINLIST
Answer:
51 liters.
Step-by-step explanation:
By proportion number of litres for 1428 miles
= 17 * 1428/476
= 17 * 3
= 51 liters.
Rewrite each equation in factored form and solve using zero product property. Find the solutions of each equation. Use the notes about r * k = c and r + k = b. In the first problem c is 6 and b is -7. So you need the same r and k that multiply to be 6 but also add to be -7. The numbers you find will be the solutions
The factored form of the equation are as follows;
(d - 6)(d - 1) = 0(x + 9)(x + 9) = 0(u + 12)(u - 5) = 0How to write equation in factored form?Converting a quadratic function to factored form is called factoring.
Therefore,
let's factor the equation,
a.
d² - 7d + 6 = 0
d² - d - 6d + 6 = 0
d(d - 1) - 6(d - 1) = 0
(d - 6)(d - 1) = 0
b.
x² + 18x + 81 = 0
x² + 9x + 9x + 81 = 0
x(x + 9) + 9(x + 9) = 0
(x + 9)(x + 9) = 0
c.
u² + 7u - 60 = 0
u² - 5u + 12u - 60 = 0
u(u - 5) 12(u - 5) = 0
(u + 12)(u - 5) = 0
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What is the probability of rolling a 4, 5, and 6, in that order, on three rolls of a single six-sided die
Answer:
1:216
Step-by-step explanation:
The probability of getting a 4 would be 1/6. The probability of getting a 5 would be 1/6 and the probability of getting a 6 would be 1/6. The bottom number is the total number of outcomes (1,2,3,4,5,6) and the top number is out of that set, how many do I want. In the case of wanting a 4, I want 1 out of those 6 numbers and so on.
Now we multiple these together 1/6 x 1/6 x 1/6 and get 1/216 or another way to write this is 1:216
hy some help me with this I'd appreciate it and also show the work
[tex] \sqrt{5612} = \frac{5612 + 5625}{2 \sqrt{5625} } = \frac{11237}{2 \times 75} = 74.913333[/tex]
A soccer game lasts 90 minutes without running into overtime. The coach
plans to switch players out every 12 1/2 minutes. Approximately how many
switches will the coach make in one game?
Answer: 7 Switches will be made.
Step-by-step explanation:
[tex]\frac{90}{12.5}=[/tex] number of switches
[tex]7.2=[/tex] number of switches
however you cannot have a fraction of a switch so you must round it to a whole number, which in this case is 7.Which system of equations below has no solution? y = 4x 5 and y = 4x – 5 y = 4x 5 and 2y = 8x 10 y = 4x 5 and y = one-fourthx 5 y = 4x 5 and y = 8x 10
Y=4x+5 and y=4x-5 has no solution
What are Linear Equations in two Variables?
The formula for a two-variable linear equation is Ax + By + C = 0, where A and B are the coefficients, C is a constant term, and x and y are the two variables, each with a degree of 1. A linear equation with two variables, for instance, is 7x + 9y + 4 = 0. These two linear equations are referred to be simultaneous linear equations if we take them into consideration.
Steps
[tex]Y=4x+5\\ Y=4x-5[/tex]
Substitute y=4x+5
[tex][4x+5=4x-5][/tex]
Refine [tex][4x+5=4x-5][/tex]
-10=0
-10=0 is a false ,therefore the system of a equation have no solution
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You start driving west for 20 miles, turn left, and drive south for another 14 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile
Answer:
24.4
Step-by-step explanation:
Use the following function rule to find h(w–5). Simplify your answer.
h(y)=y²–y–5
h(w–5)=
The value of the function is h(w - 5) = w^2 - 11w +25
How to determine the function?The function is given as:
h(y) = y^2 - y - 5
Substitute w - 5 for y
h(w - 5) = (w - 5)^2 - (w - 5) - 5
Expand the equation
h(w - 5) = w^2 - 10w + 25 - w + 5 - 5
Evaluate the like terms
h(w - 5) = w^2 - 11w +25
Hence, the value of the function is h(w - 5) = w^2 - 11w +25
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what is meant by green mathematics?
give meaningful answer .
[tex]4222125.[/tex]
who can give the first answer
The green mathematics tells about the impulse response of an in homogeneous linear differential operator.
According to the statement
we have to explain the green mathematics.
In mathematics, Actually there is a Green Function which was founded by a mathematician George Green.
In this function, a Green's function is the impulse response of an in homogeneous linear differential operator defined on a domain with specified initial conditions or boundary conditions.
The example of green function is the Green's function G is the solution of the equation LG = δ, where δ is Dirac's delta function; the solution of the initial-value problem Ly = f is the convolution (G ⁎ f), where G is the Green's function.
Actually in this function, it gives the relationship between the line integral of two dimensional vector over a closed path by a integral.
In this there is a green theorem, which relates a line integral around a simply closed plane curve C and a double integral over the region enclosed by C.
So, The green mathematics tells about the impulse response of an in homogeneous linear differential operator.
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Charlie deposits $600 into an account that pays simple interest at a rate of 2% per year. How much interest will he be paid in the first 3 years?
Answer:
Step-by-step explanation:
rounded to the nearest cent his answer would be $212.24
HELP PLS!!!! i don’t get it
Answer:
153
Step-by-step explanation:
i = square root of -1
i = √-1
(3+12√-1) (3-12√-1)
√a times √b = √ab
a√b times c√d = (a times c) √ (b times d)
9 - (36√-1) + (36√-1) - (144(√-1)^2) =
9 - 0 - (144 * -1) =
9 - 0 - (-144) =
9 - (-144) =
9 + 144 =
153
*** funny thing is if you put
(3+12i) (3-12i)
in a calculator
it works!
it gives you the answer 153
another way:
Expand the expression using
(a-b) (a+b) =
a²-b² :
3²-(12i)²
Simplify using exponent rule with same exponent
(a*b)^n =
a^n*b^n:
3²-12²* i²
Calculate the power:
9-144* i²
Rewrite by definition
i²=-1:
9–144×(−1)
Calculate the product or quotient: 9+144
Calculate the sum or difference: 153
Answer: 153
gathmath
in a survey, 250 adults and children were asked whether they know how to swim. the surgery data are shown in the relative frequency tqable
Answer: D
Step-by-step explanation: