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Choose the graph that matches the following system of equations: 2x + y = −1 3x + 2y = −6
Select one:
a. picture of coordinate plane with line y equals negative 2x plus 1 and line y equals 3 halves x minus 6. They intersect at 2, negative 3
b. picture of coordinate plane with line y equals negative 2x minus 1 and line y equals negative 3 halves x minus 3. They intersect at 4, negative 9
c. picture of coordinate plane with line y equals 2x minus 1 and line y equals negative 3x minus 3. They intersect at negative 0.4, negative 1.8
d. picture of coordinate plane with line y equals negative 2x minus 1 and line y equals 3 halves x plus 6. They intersect at negative 2, 3
Answer:
B
Step-by-step explanation:
Got it right on the test
Hope this helps :)
Which description best describes the graph?
A graph is shown. A straight line begins at the upper left side of the coordinate plane and moves down towards the right side. The line crosses the y-axis at y equals 3 and the x-axis at x equals 1.5
Linear increasing
Linear decreasing
Nonlinear increasing
Nonlinear decreasing
Answer:
B. Linear decreasing
Step-by-step explanation:
We are given that,
The graph of the function is passing through the points (0,3) and (1.5,0).
Then, the rate of change is [tex]m=\frac{0-3}{1.5-0}=\frac{-3}{1.5}=-2[/tex]
So, the function is represented by a straight line with constant rate of change -2.
Thus, the function is a linear function.Moreover, as the value of x is increasing, we see that the value of y is decreasing.
So, the function is a decreasing function.Hence, option B is correct.
How many 12 inch sections can you get out of 9 foot calculator?
Question 2(Multiple Choice Worth 2 points)
(10.06 MC)
Compare the functions shown below:
f(x) = 4 sin (2x − π) − 1
g(x)
x y
−1 6
0 1
1 −2
2 −3
3 −2
4 1
5 6
h(x) = (x − 2)2 + 4
Which function has the smallest minimum y-value?
f(x)
g(x)
h(x)
Both f(x) and g(x) have the same minimum y-value.
Answer:
1. f(x)=4 sin (2 x-π)-1
=4 sin [-(π-2 x)] -1
= -4 sin 2 x -1
-1 ≤ sin 2 x ≤1
f(x) is minimum, when, sin 2 x=1
= -4 × 1 -1
= -5→Minimum value of f(x).
2. Minimum y value of g(x) by looking at the table is ,
g(x)=-3→Minimum
3. h(x)=(x-2)²+4
As, (x-2)², will yield always a positive value.
So, minimum of h(x), will be at , x=2
h(2)=(2-2)²+4=4→Minimum
Among the three function given, f(x) has minimum y -value,equal to -5.
Option A: f(x)
quick computing company produces calculators they have found that the cost c(x),of making calculators is a quadratic function in terms of x the company also discovers that it costs $45 to produce 2 calculators, $143 to produce 4 calculators, and 869 to produce 10 calculators FIND THE TOTAL COST OF PRODUCING 1 CALCULATOR
Answer:
$23
Step-by-step explanation:
We will use a quadratic regression to solve this.
Using a graphing calculator, put the number of calculators into the first list (x) and the cost to produce into the second list (y).
Next we run the quadratic (x^2) regression. Doing this gives us an equation in the form
y = ax²+bx+c. The values we are given for a, b and c are
a = 8.9999999999; b = -4.999999999999; c = 18.999999999
These can be rounded to a = 9, b = -5 and c = 19. This gives us the equation
y = 9x²-5x+19
Substituting 1 in place of x, we have
y = 9(1²)-5(1)+19 = 9(1)-5+19 = 9-5+19 = 4+19 = 23
Twice the sum of two consecutive integers equals 42
Place the indicated product in the proper location on the grid.
(3a + 2c )(9a 2 - 6ac + 4c 2 )
Answer:
The product of [tex]\left(3a+2c\right)\left(9a^2-6ac+4c^2\right)=8c^3+27a^3[/tex]
Step-by-step explanation:
Given: Polynomial [tex]\left(3a+2c\right)\left(9a^2-6ac+4c^2\right)[/tex]
We have to place the indicated product in the proper location o the grid.
Consider the given product [tex]\left(3a+2c\right)\left(9a^2-6ac+4c^2\right)[/tex]
Using distributive property, Multiply each term of first bracket with each term of last bracket, we have,
[tex]=3a\cdot \:9a^2+3a\left(-6ac\right)+3a\cdot \:4c^2+2c\cdot \:9a^2+2c\left(-6ac\right)+2c\cdot \:4c^2[/tex]
Apply plus-minus rule [tex]+\left(-a\right)=-a[/tex] , we have,
[tex]=3\cdot \:9a^2a-3\cdot \:6aac+3\cdot \:4ac^2+2\cdot \:9a^2c-2\cdot \:6acc+2\cdot \:4c^2c[/tex]
Simplify, we have,
[tex]=27a^3-18a^2c+12ac^2+18a^2c-12ac^2+8c^3[/tex]
Adding similar terms, we have,
[tex]=8c^3+27a^3[/tex]
Thus, The product of [tex]\left(3a+2c\right)\left(9a^2-6ac+4c^2\right)=8c^3+27a^3[/tex]
Location on grid is as shown below
If someone can answer this, you are BEYOND SMARTT!!! But tell me how to do it too!!!!
Given f(x)=x2+14x+40 .
Enter the quadratic function in vertex form in the box.
f(x)=
Answer: f(x) = (x+7)^2 -9
Step-by-step explanation:
I know that this is late but hopefully it will help someone else.
Determine if x + 3 is a factor of -3x^3+6x^2+6x+9, and how do you know?
How many feet are in 100 meters if 1 meter is 1.09 yards? Will mark brainliest if you include clear steps. Thank you!
Elliot and Katy both bought the same lunchbox for $6. Elliot lives in Oklahoma and pays 4.5% in sales tax, while Katy lives in South Carolina and pays 6% in sales tax. How much more did Katy pay in sales tax than Elliot? A.$0.09 B.$0.27 C.$0.63 D.$0.36
Find the length of the hypotenuse of a right triangle with legs of lengths 9 and 12 If necessary round your answer to two decimal places
A charged particle is projected in the air such that its horizontal (x) and vertical (y) shifts are given by x(t) = 10t − t2 and y(t) = 6t, where x and y are in meters and time t is in seconds. What is the ratio of y to x at t = 4 seconds?
A plane begins to descend from a height of 202 meters. The plane decreases in altitude at an average rate of 1.8 meters per second. Which function can be used to find the altitude of the plane in meters x seconds since it started. Show work please!
Multiple choice :
F. t(x) = 202- 1.8x
G. t(x) -1.8 (x + 202)
H. t(x) = 202 + 1.8x
I. t(x) = 1.8 ( x + 202)u
A rectangular box contains 336 cubic inches. If it is 12 inches long and 7 inches wide, how deep is it?
The table shows the height of an object, h(t), in meters after t seconds. Use your calculator to find the quadratic function. Find the approximate time, to the nearest hundredth of a second, after which the object will reach its maximum height.
Someone help with math?
Dan measures an object to the nearest fourth inch. He records the length as 4 1/4 inches. Geri measures the same object the nearest half inch. Could Dan and Geri get the same measurement? Explain.
3x - 5y = 17 y = -7 Solve by substitution.
Two numbers are in the ratio of 5:6 if the sum of the numbers is 66 find the largest number
Round each number to the nearest hundred and estimate the sum.
1,841 + 964
2,900
2,800
2,700
2,600
Answer:
The answer is 2,800 (B)
Good Luck :)
Find the area of the shaded polygons:
The total area of the figure is 8 square units.
How to find the area?
Remember that the area of a triangle is equal to its height times its base over 2.
In the image we can see 3 triangles, the larger one has a height of 3 units and a base of 4 units, so its area is:
A = 3*4/2 = 6 square units.
The bottom left triangle has a base of 1 unit and a height of 1 unit, so its area is:
A' = 1*1/2 = 0.5 square units.
The bottom right triangle has a base of 3 units, and a height of 1 unit, so its area is:
A'' = 1*3/2 = 1.5 square units.
The total area is:
A + A' + A'' = (6 + 0.5 + 1.5) square units = 8 square units.
If you want to learn more about area, you can read:
https://brainly.com/question/24487155
what is the factored form of the expression? w^2 + 12w + 36
Answer:
[tex](w+6)^2[/tex] is the factored form of the given expression.
Step-by-step explanation:
The given expression is:
[tex]w^2+12w+36[/tex]
Simplifying the above given expression, we get
[tex]w^2+6w+6w+36[/tex]
[tex]w(w+6)+6(w+6)[/tex]
[tex](w+6)(w+6)[/tex]
[tex](w+6)^2[/tex]
Which is the required factored form of the given expression.
Find all solutions in the interval [0, 2π).
sec2x - 2 = tan2x
a) No solution
b) x = pi/3
c) x = pi/4
d) x = pi/6
Printer paper is sold in packages of 500 sheets. of a printing job uses 1 3/4 packages of paper how may sheets is that
The printing job that uses 1 3/4 packages of printer paper requires 875 sheets.
To determine how many sheets of paper are used in a printing job that uses 1 3/4 packages of paper, follow these steps:
First, understand that 1 package contains 500 sheets of printer paper.Next, convert the mixed number 1 3/4 to an improper fraction. This is done by multiplying the whole number (1) by the denominator (4) and adding the numerator (3), giving us 7/4.Now, multiply the number of packages (7/4) by the number of sheets per package (500):Therefore, the printing job uses 875 sheets of paper.
Which expressions are polynomials?
Select each correct answer.
A.20x² + y
B.20x2+y12
C.20x2y
D.20x²
Answer:
Step-by-step explanation:
Polynomial :
An expression that can have constants (like 4), variables (like x or y) and exponents (like the 2 in [tex]y^{2}[/tex]), that can be combined using addition, subtraction, multiplication and division, but:
no division by a variable.
a variable's exponents can only be 0,1,2,3,... etc.
it can't have an infinite number of terms.
Thus according to definition all are polynomials
A.20x² + y
B.20x2+y12
C.20x2y
D.20x²
Bailey writes 5 + 8 on the left-hand side of a paper and then writes 4 + 9 to the right of it. Which symbol should Bailey write between the two sets of numbers to show they have the same sum
a. +
b. –
c. ≠
d. =