Answer:
k=-9
Step-by-step explanation:
[tex]2k-3(2k-3)=45\\\\2k-3(2k)-3(-3)=45\\\\2k-6k+9=45\\\\(2k-6k)+9=45\\\\(2-6)k+9=45\\\\-4k+9=45\\\\-4k+9-9=45-9\\\\-4k+0=36\\\\-4k=36\\\\\frac{-1}{4}(-4k) =\frac{-1}{4}(36) \\\\k=\frac{-36}{4} \\\\k=\frac{4*9}{4} \\\\k=\frac{9}{1} \\\\k=-9[/tex]
what is the range of the function below in set builder notation? y=|x-3|
Answer: [tex]\{y | \ y \in \mathbb{R}, \ y \ge 0\}[/tex]
This translates to "y is any real number such that it is 0 or larger".
The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.
So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.
In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.
What is the factored form of x3+ 64?
Answer:
the answer is (x – 4)(x2 + 4x + 16).
Answer:
Step-by-step explanation:
The intersection of two streets forms a parallelogram. One street is 40 feet wide. The height of the parallelogram formed is 25 ft. What is the area of the intersection?
Answer:
1000 feet²
Step-by-step explanation:
Given that,
Width of a parallelogram is 40 feet
Height of the parallelogram is 25 feet
We need to find the area of the intersection that forms a parallelogram. The formula for the area of a parallelogram is given by :
A = base × height
A = 40 × 25
A = 1000 feet²
So, the area of the parallelogram is 1000 feet²
Which linear equation below represents the line that goes through the point (3.4) and has a slope of 2?
Answer:
Linear equation with a slope of 2 that goes through the point (3, 4) is [tex]y = 2\cdot x -2[/tex].
Step-by-step explanation:
From statement we know the slope of the line and a point contained in it. Using the slope-point equation of the line is the quickest approach to determine the appropriate equation, whose expression is:
[tex]y-y_{o} = m \cdot (x-x_{o})[/tex]
Where:
[tex]m[/tex] - Slope, dimensionless.
[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of given point, dimensionless.
[tex]x[/tex], [tex]y[/tex] - Independent and dependent variable, dimensionless.
If we know that [tex]m = 2[/tex], [tex]x_{o} = 3[/tex] and [tex]y_{o} = 4[/tex], the linear equation is found after algebraic handling:
1) [tex]y-4 = 2\cdot (x-3)[/tex] Given
2) [tex]y = 2\cdot (x-3) +4[/tex] Compatibility with Addition/Existence of Additive Inverse/Modulative Property
3) [tex]y = 2\cdot x -2[/tex] Distributive Property/[tex](-a)\cdot b = -a\cdot b[/tex]/Definition of sum/Result
Linear equation with a slope of 2 that goes through the point (3, 4) is [tex]y = 2\cdot x -2[/tex].
Is the following sometimes, always, or never true? If two lines intersect to form congruent adjacent angles, then the lines are perpendicular.
Answer:
sometime
Step-by-step explanation:
I dont really understand how to do this with three terms can someone please help?
Answer:
A. x(x + 7)²
Step-by-step explanation:
Step 1: Write out polynomial
x³ + 14x² + 49
Step 2: Factor out x
x(x² + 14x + 49)
Step 3: Factor out quadratic
x(x + 7)²
In 2014, a toy store sold 12,823 stuffed animals. In 2015, the toy store sold 24,290 more stuffed animals than it did in 2014. The toy store sold the same number of stuffed animals in 2016 as it did in 2015. How many stuffed animals did the toy store sell in 2014, 2015, and 2016 combined?
Answer:
i say 24,890
Step-by-step explanation:
The number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined is 87,049.
Given that, in 2014, a toy store sold 12,823 stuffed animals. In 2015, the toy store sold 24,290 more stuffed animals than it did in 2014.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined be x.
Number of toys sold in 2014 = 12,823
Number of toys sold in 2015 = 12,823 + 24,290
=37,113
The toy store sold the same number of stuffed animals in 2016 as it did in 2015. That is, 37,113.
Now, x = Number of toys sold in 2014 + Number of toys sold in 2015 + Number of toys sold in 2016
=12,823+37,113+37,113
=87,049
Therefore, the number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined is 87,049.
To learn more about an equation visit:
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At what points do the the graphs of y = 2x+1 and y= -(x-1)^2+3 intersect?
O A. (-2, -6) and (2, 2)
O B. (-1, -1) and (1,3)
O C. (-3,5) and (2, 2)
O D. (1, 3) and (3,7)
i need help badly plzzzzz
Answer:
Sorry but this is not mathematics, if you put it in computer and technology, your question may be answered
Sorry but I can't help.
Answer:
option 1 is the correct answer
Step-by-step explanation:
since 12 is less than 20. then we will deduct -1 from y; which is 0
6. Edward bought 23.4 pounds of potatoes and 26.1 pounds of carrots.
How many pounds of vegetables did he buy in all? *
O 49.5 pounds
O 50 pounds
O 50.5 pounds
O 63.3 pounds
Answer:
49.5 lbs.
Step-by-step explanation:
23.4 + 26.1 equals 49.5 pounds
Hopefully this helps you :)
pls mark brainlest ;)
John is gliding along on his scooter at a speed of 2.8 m/s when
suddenly he collides with Sam who is walking around the corner. If
John is brought to rest in 0.15 s, what is his acceleration?
Answer:
18.67 m/s²
Step-by-step explanation:
a = ∆v/ t
a= v - u/t
a = 2.8 - 0 / 0.15
a = 2.8 / 0.15
a = 18.67 m/s²
15 Points, PLEASE HELP! What expression is equivalent to 8.4x - 7.2y?
1.2(6x + 7y)
1.2(6x - 7y)
1.2(7x + 6y)
1.2(7x - 6y)
Answer: 1.2(7x - 6y) is equivalent to 8.4x- 7.2y
Step-by-step explanation:
I took the test
d. -6.24, -4.03, -1.82, 0.39, ... Find the 20th term.
Answer:
the 20th term of the sequence is 35.75
How do I do this, please explain.
El punto 22, los resultados/procedimiento para confirmar que lo hice bien
Answer:
a)
1/4 : a = 1/10
1/4 = a*1/10
(1/4) : (1/10) = a
(1*10):(4*1) = a
10/4 = a
entonces:
1/4 : 10/4 = 1/10
respuesta:
en el recuadro va:
10/4 o su equivalente 2/5
b)
3/7 : a = 9
(3/7) : 9 = a
3 : (7*9) = a
3 / 63 = a
entonces:
(3/7) : (3/63) = 9
(3*63) : (7*3) = 9
63 : 7 = 9
entonces, en el recuadro va:
3/63 o su equivalente 1/21
c
a : (1/2) = 5/2
a = (5/2) * (1/2)
a = (5*1) / (2*2)
a = 5/4
entonces:
(5/4) : (1/2) = 5/2
(5*2) : (4*1) = 10/4 = 5/2
entonces, en el recuadro va:
5/4
d
a : (1/2) = 2/5
a = (2/5) * (1/2)
a = (2*1) / (5*2)
a = 1/5
entonces:
(1/5) : (1/2) = 2/5
(1*2) / (5*1) = 2/5
HELP!!!!
It was saying that my question is to short so I am just writing this to make it longer! and Thank you to the person who answers my question I do appreciate you taking time out of your day to help me!
6) A tree casts a shadow 60 feet long. At the same time, a nearby 8-foot post casts a 12- foot shadow. How tall is the tree?
Answer:
40 ft
Step-by-step explanation:
The tree's shadow is 60/12 = 5 times the length of the shadow of the post. So, we figure the tree is 5 times the height of the post:
5(8 ft) = 40 ft . . . height of tree
__
You may want to write a proportion:
tree height/tree shadow = post height/post shadow
t / 60 = 8 / 12
t = 60(8/12) = 40 . . . . multiply by 60
A line segment is a geometric figure that consists of what?
Expressions that simplify to the same expression are called _ _ _ _ _ _ _ _ _ _.
Answer:
Step-by-step explanation: Expressions that simplify to the same equations are called Linear equations.It can simplify the same equation.
Step-by-step explanation:
whats the answer to this question -9x+1= -8
Just need answer, that fills in the blanks, i dont need work shown ty
will give brainly!!
Evaluate the expression when a = 3, b = 2, and c= -3: (a³ + 2bc)/( c² -5)
In an AP with 18 terms the common difference is $-3$−3 . If the nth term is $-5$−5, what is its first term?
Answer:
46
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here d = - 3 and [tex]a_{18}[/tex] = - 5 , thus
a₁ + (17 × - 3) = - 5
a₁ - 51 = - 5 ( add 51 to both sides )
a₁ = 46
Answer:
a = 46
Step-by-step explanation:
Refer to the attachment.
Divide. 32 by 565 Enter your answer in the boxes as a mixed number in simplest form.
Answer:
17 21/32
Step-by-step explanation:
find the first five terms of each sequence an = -2(n-7)
Answer:
when n=1
= -2(1-7) = 12
when n=2
= -2(2-7) = 10
when n=3
= -2(3-7) = 8
when n=4
= -2(4-7) = 6
when n=5
= -2(5-7) = 4
Step-by-step explanation:
If g(x) = (24 – x)2 + 7, what is
the value of g(6)?
O 250
O-2
O 243
O 331
[tex]g(x) = (24 - x)2 + 7\\= 48 - 2x + 7\\g(6) = 48 - 2 \cdot 6 + 7\\= 48 - 12 + 7\\= 43[/tex]
When Scott got his dog Arfus, it weighed
6 lb. Six months later it weighed 8 lb.
How much weight did Arfus gain?
Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.
Answer:
y = [tex]\frac{3}{5}[/tex] x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x + 3y = 15 ( subtract 5x from both sides )
3y = - 5x + 15 ( divide all terms by 3 )
y = - [tex]\frac{5}{3}[/tex] x + 5 ← in slope- intercept form
with slope m = - [tex]\frac{5}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{3} }[/tex] = [tex]\frac{3}{5}[/tex] , thus
y = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation
To find c substitute (5, 1) into the partial equation
1 = 3 + c ⇒ c = 1 - 3 = - 2
y = [tex]\frac{3}{5}[/tex] x - 2 ← equation of perpendicular line
Here, we are required to Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.
The equation of the line is; 3x - 5y = 10.
By comparison with the equation of a straight line: y = Mx + c
The equation 5x+3y=15 can be rewritten as ;
y = (-5/3)x + 5
Therefore, the slope of the equation is; (-5/3)
The product of the slope of two perpendicular lines is: -1.
therefore m1m2 = -1
Therefore; M2 = -1/(-5/3)
Therefore M2 = 3/5
The equation of the line passing through the point (5, 1) that has slope, M2 = 3/5 is;
3/5 = (y - 1)/(x - 5)
By Cross product;
3x - 15 = 5y -5
Therefore, the equation of the line is;
3x - 5y = 10.
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WILL MARK BRAINLIST PLSS HELP
1.)A 2.)B. 3.)C. 4.)C. 5.)B
I think the only one i might of gotten wrong is 4. if any are wrong. please let me know for future reference.
~ItsOniiSama ❤
Hope this helps! If so please ,mark brainliest!
Answer:
1. A
2. A
3. C
4. C
5. B
Step-by-step explanation:
i do beleive these are the correct answers
Find the distance between (8, -4.7) and (8, 5.3)
Answer:
d = 10
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(8-8)^2+(5.3-(-4.7))^2} \\d= \sqrt{(0)^2+(10)^2} \\d= \sqrt{0+100} \\d= \sqrt{100}\\ d= 10[/tex]