Answer:
f(-1) = 3, f(3) = 3
Step-by-step explanation:
This question requires that you choose which of the two equations to uses given the value of x. -1 < 1 so you choose equation f(x) = -x + 2 for f(-1). 3 > 1 so you choose f(x) = x² - 4x + 6 for f(3)
y=2x+5 make x the subject
Answer:
x= y-5/2
Step-by-step explanation:
Swap the numbers to the other side. This makes it a minus. Because its the inverse, y-5 over 2.
Pls help me I will Brianlest
Answer:
$4400
Step-by-step explanation:
Total earnings = $1038
Base salary = $675
What part of the total earnings was from the commission?
$1038 - $675 = $363
She made $363 in commissions.
The commissions are 8.75% of the sales.
Let sales = x.
8.25% of x = $363
0.0825x = 363
Divide both sides by 0.0825
x = 4400
Answer: Her sales were $4400
the probability of randomly meeting someone with a phone number that ends in 0
Answer:
20%
Step-by-step explanation:
Which expression is exactly equivalent to 5a + 3b + 4 + 7a + 9 ?
Expression 1: 8a + 11b + 9
Expression 2: 12a + 3b + 13
Expression 3: 5a + 10b + 13
Expression 4: 14a + 10b + 4
The Expression that exactly equivalent to "5a + 3b + 4 + 7a + 9" is
"8a + 11b + 9".
What is Simplification?The terms in the brackets can be immediately simplified. Therefore, we can carry out the operations indicated by the brackets in the following order: multiplication, addition, subtraction, and division. Note: The brackets should be shortened in the following order (), {}, []. The rule used for simplifying equations is PEMDAS.
Given, An equation 5a + 3b + 4 + 7a + 9 that we need to simplify.
Thus adding the Constants of the same variable
12a + 4 + 3b + 9
adding the constants
12a +3b +13
Therefore, "8a + 11b + 9" is the exact equivalent expression to "5a + 3b + 4 + 7a + 9."
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I WILL GIVE BRAINLIEST Which of the following tables of x– and y–values represents a function? Select all that apply.
Answer:
The only function is C.
Step-by-step explanation:
The Question is above.
Step-by-step explanation:
given
g(r)= -1 -7r
g ( 6) = - 1 - 7 * 6
= - 1 - 42
= - 43
The graph shows a journey in a car. Which of the statements most likely describes the journey at the portion of the graph labeled K?
a. The car travels the same distance per unit of time because the portion shows a linear, increasing function.
b. The car travels different distances per unit of time because the portion shows a linear, increasing function.
c. The car travels different distances per unit of time because the portion shows a nonlinear, increasing function.
d. The car travels the same distance per unit of time because the portion shows a nonlinear, increasing function.
Answer:
c. The car travels different distances per unit of time because the portion shows a nonlinear, increasing function.
Step-by-step explanation:
We are given the graph of a function of the distance in function of the time.
We want to study the graph during the part of the graph labeled K, which is non-linear, meaning that the accelaration is not constant. This means that the car travels different distances per unit of time, and the correct answer is:
c. The car travels different distances per unit of time because the portion shows a nonlinear, increasing function.
A nursery owner buys 8 panes of glass to fix some damage to his greenhouse. The 8 panes cost $17.20. Unfortunately, he breaks 3 more panes while repairing the damage. What is the cost of another 3 panes of glass? Another 3 panes of glass cost $
q ?????????????
Answer:
$6.45
Step-by-step explanation:
what is the rate of change of the function? -2, -1/2,1/2,2?
Given:
The graph of linear function.
To find:
The rate of change the given linear function.
Solution:
From the given graph it is clear that the line passes through the points (0,1) and (1,-1). So, rate of change is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{-1-1}{1-0}[/tex]
[tex]m=\dfrac{-2}{1}[/tex]
[tex]m=-2[/tex]
Therefore, the rate of change of the given linear function is -2. Hence, the correct option is A.
If your gonna answer thanks.
Can someone please get me the answer fast
Step-by-step explanation:
Using Trignometry,
sin60° = BC/10.
=> BC = 10sin60°
= 10 * (√3/2) = 5√3 = 8.7. (1d.p.)
Answer:
[tex] \sin(60°) = \frac{BC}{10} \\ \frac{ \sqrt{3} }{2} = \frac{BC}{10} \\ BC = \frac{10 \sqrt{3} }{2} \\ BC= 5 \sqrt{3}\\\boxed{\red{BC= 8.7}}[/tex]
8.7 is the right answer.Angel earned $357.60 at his job when he worked for 24 hours. What did he earn in
one hour?
Answer:
$14.90
Step-by-step explanation:
357.60 ÷ 24 is 14.9
I GIVVVVVVE EEEEEE BRAINLILST
Answer:
1/5
Step-by-step explanation:
If you focus on one of the coordinates, for example (10,10) you will notice that 10 divided by 5 equals 2. If you do that on both X and Y it will give you 2. The black shape's top right cordinate is (2,2) which explains why its 1/5...
Can I plz have it!
Help me please !!!!!
Answer: 1
Step-by-step explanation: divide 3 by 3
i SECTION 2014 QUES Assignment 1 Ratios ASSIGNMENTS COURSES > 1 2 10 11 3 4 5 6 7 8 9 On a true/false test, the ratio of true questions to false questions is 3 to 7. What is the ratio of true questions to total questions?
wath do you meen point to the mathe matical problem
Step-by-step explanation:
okay
Find the product of 6x and 2y2
Answer: 24xy
I'm not sure if I'm right, but if I am and you have any questions about how it was solved, feel free to ask!! :)
Help I’m being timed!!
Answer:
true I think. I rember some, sorry if its wrong
The general solution of e x cosydx−e x sinydy=0 is :__________
Answer:
General solution x = log | sec y | + C
Step-by-step explanation:
Step(i):-
Given
[tex]e^{x} cosy dx - e^{x} sin y d y = 0[/tex]
[tex]e^{x} (cosy dx = e^{x} sin y d y[/tex]
cos y dx = sin y d y
[tex]dx = tan y d y[/tex]
Step(ii):-
now integrating on both sides , we get
[tex]\int\limits {1} \, dx = \int\limits {tany} \, dy[/tex]
by using formula
[tex]\int\limits {tany} \, dy = log | sec y | + C[/tex]
x = log | sec y | + C
Final answer:-
General solution x = log | sec y | + C
What is 54 in the ratio 1:6:2
Answer:
6:36:12
Step-by-step explanation:
1+6+2=9
54÷9=6
1×6=6
6×6=36
2×6=12
and to double-check you can add them up and you should get the total amount
WILL GIVE BRAINLIEST
4cos4(x)-5cos2(x)+1=0 from[0,2pi]
If you could can you give steps please
Answer:
x = {0, π/3, π, 4π/3}
Step-by-step explanation:
4cos⁴(x) - 5cos²(x) + 1 = 0
(u² - 1)(4u² - 1) = 0
u² - 1 = 0
u² = 1
u = ± 1
cos x = ± 1
=> x = 0 or π
4u² - 1 = 0
4u² = 1
u² = 1/4
u = ± 1/2
cos x = ± 1/2
=> x = π/3 or 4π/3
Therefore, x = {0, π/3, π, 4π/3}.
Solve the inequality. Graph the solution set and write it in interval notation. .
15x - 35 > 5(2x - 11)
I thought the end of the arrow wild be open but it's showing a [ and a( at the end which is correct ?
Answer:
-4
Step-by-step explanation:
the ratio of trucks to sedans a car dealership serviced 28 sedans in one day
can someone please help i need to show work
PLEASE HELP ALGEBRA 2
Question is on the photo below
Answer:
The value of f(x) - g(x) is:
f(x) - g(x) = 2x² + 6x - 4
Step-by-step explanation:
Given
f(x) = 3x² + x - 3
g(x) = x² - 5x + 1
To determine
f(x) - g(x)
Using the formula
f(x) - g(x) = 3x² + x - 3 - ( x² - 5x + 1)
= 3x² + x - 3 - x² + 5x - 1
= 2x² + 6x - 4
Therefore, the value of f(x) - g(x) is:
f(x) - g(x) = 2x² + 6x - 4
2.4.RE-1
Determine whether the graphs of the given equations are parallel, perpendicular, or neither.
y=x + 15
y = -x +4
Choose the correct answer below.
O Perpendicular
Neither
Parallel
please help me solve this problem.
Answer:
The value of x will be:
[tex]x=22\sqrt{2}[/tex]
or
[tex]x = 31.1[/tex]
Step-by-step explanation:
Given
a = 22b = 22To determine
hypotenuse x = ?
For a right-angled triangle with sides, a and b the hypotenuse c is defined as
[tex]c=\sqrt{a^2+b^2}[/tex]
substituting a = 22, b = 22 and c = x
[tex]x=\sqrt{22^2+22^2}[/tex]
[tex]x=\sqrt{22^2\cdot \:2}[/tex]
Apply radical rule: [tex]\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0[/tex]
[tex]x=\sqrt{2}\sqrt{22^2}[/tex]
[tex]x=22\sqrt{2}[/tex]
or
[tex]x = 31.1[/tex]
Therefore, the value of x will be:
[tex]x=22\sqrt{2}[/tex]
or
[tex]x = 31.1[/tex]
Will give brainiest if they helped me with this. Please do
Answer:
5 and 5b: y=-2x+10
5a: y-2=-2(x-6)
Step-by-step explanation:
We can use the mentioned data points to identify the slope. Time will always the x coordinate/axis, so gallons will be the y coordinate/axis. As you probably already know, slope is rise over run, so we can measure the change in y over the change in x, or we can do [tex]\frac{y-y_{1}}{x-x{1}}[/tex]. When we plug in our points, (2,6) and (5,0), we get [tex]\frac{6-0}{2-5}[/tex], or [tex]\frac{6}{-3}[/tex], or [tex]\frac{2}{-1}[/tex], or simply -2. So our slope is -2.
We can use our y-intercept (which is (0,10), as mentioned in the attached graph and table) to make the equation, in slope-intercept form, [tex]y=-2x+10[/tex] This can answer both question 5 and 5b. Remember that slope-intercept form is written using the format y=mx+b, where x any given x-coordinate, y is the corresponding y-coordinate, m is the slope and b is the y-intercept.
To put this equation in point-slope form, one must first remember that point-slope form is written in the format [tex]y-y_{1} = m(x-x_{1})[/tex], using the coordinates of any given coordinates on the same line, except for the y intercept. m also represents slope in this equation. So for this one, we can easily use (2,6). we can plug in these coordinates to get the equation y-2=-2(x-6).
Hope this helps.
Graph and table were created using Desmos dot com graphing calculator.
I was at the store, and saw two sizes of avocados being sold. The smaller size sold for $0.92 each. For what prices would the larger avocado be a better deal?
Answer:
Large avocados should cost $ 1.83 or less to be a good deal.
Step-by-step explanation:
Since there are two types of avocado in the store, some small at $ 0.92 and others larger, to determine at what price large avocados would be a good deal, an equivalence must be established in this regard:
Thus, if two small avocados are equal to one large, buying two small avocados at $ 0.92 the total price would be $ 1.84. Therefore, any large avocado that sells for less than $ 1.84 would be a good deal. Thus, large avocados should cost $ 1.83 or less to be a good deal.
G+h>f is an example of
Inequality, expression or equation
Answer:
[tex]g + h > f[/tex] is an example of inequality
Step-by-step explanation:
Given
[tex]g + h > f[/tex]
Required
What does it represent
When a mathematical statement has any of:
[tex]>, <, \le, \ge, \ne[/tex]
Then, the mathematical statement is regarded as an inequality:
Hence:
[tex]g + h > f[/tex] is an example of inequality
How to write 9X+35=5y in slope intercept form
Answer:
anwer is i dont know im sorry
If the sides of a triangle have the following lengths, find a range possible values for x
CD = x-4, DE = 3x + 21, CE = 6x - 13
Answer:
9.5 < x < 15
Step-by-step explanation:
The possible values of x for the given problem lies in (-infinity, -1.33) ∪ (9.5, 15).
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
Given that,
The sides of the triangle are as follows,
CD = x - 4, DE = 3x + 21 and CE = 6x - 13.
There can be three cases for the given problem.
Case 1,
The longest side of the triangle is CE = 6x - 13.
Since the sum of the two sides of a triangle is always greater than the longest one, the following inequality can be written for the given triangle,
6x - 13 < x - 4 + 3x + 21
=> 6x - 13 < 4x + 17
=> 6x - 4x < 17 + 13
=> 2x < 30
=> x < 15
Case 2,
The longest side of the triangle is DE = 3x + 21.
Since the sum of the two sides of a triangle is always greater than the longest one, the following inequality can be written for the given triangle,
3x + 21 < 6x - 13 + x - 4
=> 3x + 21 < 7x - 17
=> 7x - 3x > 21 + 17
=> x > 38/4
=> x > 9.5
Case 3,
The longest side of the triangle is CD = x - 4.
Since the sum of the two sides of a triangle is always greater than the longest one, the following inequality can be written for the given triangle,
x - 4 < 3x + 21 + 6x - 13
=> x - 4 < 9x + 8
=> x - 9x > 8 + 4
=> x < -1.33
Thus, the range of the values of x is intersection of x < 15, x > 9.5 and x < -1.33, which is equivalent to (-infinity, -1.33) ∪ (9.5, 15).
Hence, the range of possible values of x lies in the interval (-infinity, -1.33) ∪ (9.5, 15).
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3/4-2/3 as fractions
Answer:
2
3
–
3
4
=
– 1
12
Step-by-step explanation: is this the answer?