if p(x)=x*2-1 and q(x)=5(x-1),which expression is equivalent to (p-q)(x)?
Answer:
[tex](p - q)(x) = (x -1) (x - 4)[/tex]
Step-by-step explanation:
Given
[tex]p(x) = x^2 - 1[/tex]
[tex]q(x) = 5(x - 1)[/tex]
Required
(p - q)(x)
This is represented as:
[tex](p - q)(x) = p(x) - q(x)[/tex]
[tex](p - q)(x) = x^2 - 1 - 5(x - 1)[/tex]
[tex](p - q)(x) = x^2 - 1 - 5x + 5[/tex]
Collec like terms
[tex](p - q)(x) = x^2 - 5x + 5 - 1[/tex]
[tex](p - q)(x) = x^2 - 5x + 4[/tex]
Expand
[tex](p - q)(x) = x^2 -4x - x + 4[/tex]
Factorize
[tex](p - q)(x) = x(x -4) - 1(x - 4)[/tex]
[tex](p - q)(x) = (x -1) (x - 4)[/tex]
Choose the correct answer combination below.
A scale factor of _______ was applied to the first triangle to get the resulting image.
This scale factor is a(n) _________________.
Question 1 options:
4; enlargement
4; reduction
1/4; enlargement
1/4; reduction
Evaluate the expression for the given value of the variable.
4 * (x + 5); when x = 3 the star means multiply
Answer:
4 * (3 + 5)
4 * 8
32
Step-by-step explanation:
What is the volume of the following rectangular prism?
Answer:
The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in. The answer is 33 i believe
Step-by-step explanation:
Write the statements 1/3t + 12
Answer: t/3+12
Step-by-step explanation:
What is the perimeter of the shape?
40 feet
43 feet
51 feet
67 feet
Answer:
201
Step-by-step explanation:
40+43+51+67=201
Answer:
its 40
Step-by-step explanation:
The sum of three numbers is 83. The first number is 8 more than the second. The third number is 3 times the second. What are the numbers?
Answer:
23, 15 and 45
Step-by-step explanation:
a+b+c = 83
a = b + 8
c = 3*b
(b+8) + b + 3*b = 83
5*b + 8 = 83
5*b = 75
b = 15
a = b + 8 = 15 + 8 = 23
c = 3*b = 3*15 = 45
Verification
a+b+c = 23 + 15 + 45 = 83; correct
Find the area of the shaded region using Pick's Theorem.
A. 25
B. 42
C. 18
D. 27
Answer:The answer is B
Step-by-step explanation:
Tanisha buys 12 teddy bears, and each teddy bear costs $5.35. She also chooses to pay an extra $6 to be donated to a local charity
Which statement accurately represents the total amount of money Tanisha spends? again please hurry
Answer:
she bought teddy bear with her money, 6 dollars went to charity
What is the perimeter of the figure shown above?
a. 17 cm
C. 15 cm
b. 21 cm
d. 19 cm
Answer:
21cm
Step-by-step explanation:
Add everything together,
The top one is 5cm because of the bottom measurement is the same length
A gardener can increase the number of dahlia plants in an annual garden by either buying new bulbs each year or dividing the existing to create new plants. The table below shows the expected number of bulbs for each method.
Answer:
May I please have the question or the table?
Step-by-step explanation:
Answer:here’s the table I don’t have the answer tho.
Step-by-step explanation:
Please help!!
it says what I wrote is too short so
Answer:
50 cents The red on the right end.
Step-by-step explanation:
Let the chocolate chip cookies = x
Let the jumbo popcorn = y
Julie
y + 2x = 5
Marvin
y + 4x = 6 Subtract
-2x = - 1 The y's disappear. You are left with 1 dollar (negative). Divide by - 2
-2x/-2 = - 1 / -2
x = 1/2
x = 0.5 or 50c
Each cookie costs 50c
2/7 letts gooo keep it goo yall doing great
Answer:
all of them
Step-by-step explanation:
I'm pretty surep
ellus
What is the measure of z?
4
16
z
X
Z =
✓ [?]
Answer:
[tex] z=\sqrt{80} [/tex]
Step-by-step explanation:
By geometric mean property:
[tex] y= \sqrt {16\times 4}[/tex]
[tex] y= \sqrt {64}[/tex]
[tex] y= 8[/tex]
By Pythagoras Theorem:
[tex] z=\sqrt{4^2 +8^2} [/tex]
[tex] z=\sqrt{16 + 64} [/tex]
[tex] z=\sqrt{80} [/tex]
If yall wanna send a paragraph to yo girl/boy here
Before I met you, I didn’t think love was for me. It was something other people had and felt. Something in movies and in TV shows. It felt more like a wish I had then something real. Now that I’m with you, love is so much more tangible. It’s something I can reach out and touch. It’s so much more than a wish or a hope (though it does give me hope, for so many things), it’s the very real, wonderful person I wake up to. The warm hand next to mine, the brush of hair against my cheek. I love you and because of that love, I love so much more than you. I love myself and the world in a way I never thought possible. You’ve made that possible for me. You’ve made everything possible. I just wanted to let you know how much I appreciate having you in my life. For helping me through the bad times and being there to help me celebrate the good times, I cherish all of the moments that we share together. There aren’t enough words in the dictionary for me to tell you how glad I am to have you in my life. I am so lucky to have you by my side. Everything you do for me never goes unnoticed. I don’t know what I did to deserve someone as wonderful as you, but I am eternally grateful to have your love, support, and affection. Thank you for being you, and for having me by your side.
Don't give me Creds for it :) stay strong ily bye
Answer:
Aw this paragraph is adorable!
Step-by-step explanation:
What is the value of the angle marked in red?
Answer:
45 degrees
Step-by-step explanation:
There are 8 sides and assuming the figure is regular, 360/8 = 45 degrees
Answer:
45°
Step-by-step explanation:
360/8=45°
Write
1 quadratic function in
vertex form whose graph
has
the vertex (1,2) and passes
through the point (3,10)
Answer:
y = 2 ( x − 1 ) ^ 2 + 2
Step-by-step explanation:
y = a ( x − h ) ^ 2 + k
where vertex is (h,k) = (1,2)
h=1, k=2
y = a ( x − 1 ) ^ 2 + 2
sub ( 3,10)
10 = a (3 - 1)^2 + 2
a=2
y = 2 ( x − 1 ) ^ 2 + 2
A function is a relationship between inputs where each input is related to exactly one output.
The quadratic function in vertex form is given by:
y = a(x - h)² + k
(h, k) = vertex
The quadratic function in vertex form is y = 2(x - 1)² + 2.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = x + 2 is a function.
We have,
Quadratic function in vertex form whose graph has the vertex (1,2) and passes through the point (3,10).
The quadratic function in vertex form is given by:
y = a(x - h)² + k
(h, k) = vertex
Now,
(h, k) = (1, 2)
Passes through (3, 10).
So,
10 = a(3 - 1)² + 2
10 = 4a + 2
8 = 4a
a = 2
Now,
The quadratic function in vertex form is y = 2(x - 1)² + 2
Thus,
The quadratic function in vertex form is y = 2(x - 1)² + 2.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
Help plsss my teacher didn’t even teach me this
Answer:
D
Step-by-step explanation:
bro this is super easy
Does the graph show a proportional relationship between time and the total charge? Explain.
A bicyclist ride 1/4 miles 1/60 hours
There are 156 people taking a boating safety course. The ratio of adults to students is 9 to 4. How many adults are taking the course?
Tom spent 1/3 of his monthly salary for rent and 1/8 of his salary for his school loans. If $923 was left, what was his monthly salary?
Answer:
1704
Step-by-step explanation:
.25x + 2x
QUICKKKK I NEED HELPPPP
Answer:
2.25x
Step-by-step explanation:
2.00x
0.25x
2.25x
hope this helps
please mark me brainliest
find the length of AB
8 m
140°
Answer:
19.54
Step-by-step explanation:
Answer: 19.54
Step-by-step explanation: 140/360*(8*2*3.14)
write 2/5 as a decimal
Answer:
.4
Step-by-step explanation:
You divide 2 by 5.
2 ÷ 5 = .4
Answer:
I believe 2/5 as a decimal is 0.4.
Step-by-step explanation:
Make the denominator 10 and then simplify to 4/10 following the answer 0.4.
How many solutions does this system have?
X-3y = 4
-2x+6y=3
one
two
an infinite number
no solution
Select the correct answer.
What is the range of the function graphed below?
у
8
6
-
2
-4
HX
- 2
2
4
6
2
4
-6
OA - < y < -2
Answer:
B
Step-by-step explanation:
The range of the function is - ∞ < y < 2
How to determine the range?The range of the function are the set of output values of the function.
From the given graph, the values of the graph increases from negative infinity and ends at 2
So, the range of the function is - ∞ < y < 2
Read more about range at:
https://brainly.com/question/10197594
Simplify the expression:
The picture is down below
Answer:
[tex]\frac{4x^{21}}{y^{11}}[/tex]
Step-by-step explanation:
You are going to need to know two properties of exponents.
[tex]x^a * x^b = x^{a+b}\\\frac{x^a}{x^b}=x^{a-b}[/tex]
Also know that a*b = b*a, so youc an change the order of multiplication.
Since everything is being multiplied in the numerator, and there is only multiplication, it's actually super easy to start. Just multiply everything.
[tex]8x^9y^8(-2)x^5y^{-9} = -16x^{14}y^{-1}[/tex]
so now you have [tex]\frac{-16x^14y^{-1}}{-4x^{-7}y^6}[/tex]
Again, since the numerator and denominator only have multiplication you can divide part by part. so the number divides the number, the x term divides the term and the y term divides the y term
-16/-4 = 4
x^14 / x^-7 = x^21
y^-1 / y^6 = y^-7
So all together that makes[tex]4x^{21}y^{-7}[/tex]
The final step in simplifying is making all negative powers into fractions. Sometimes non whole numbers can be made into roots. Definitely make negative powers fractions though
[tex]\frac{4x^{21}}{y^{-7}}[/tex]
Triangle PQR is similar to triangle KLM.
L
35 in.
Q
15 in.
72 in.
R
M M
x in.
What is the value of x in inches?
A 7 in.
B 148 in.
C 92 in.
168 in.
Answer: I think it’s b
Step-by-step explanation:
Answer this correctly I’ll give u brainalist + 10 points
Answer:
c
Step-by-step explanation:
Answer:
C. II and III
Step-by-step explanation:
Vertical angles are all start across from each other.
So:
∠3 and ∠6 are across from each other
∠2 and ∠5 are across from each other
∠1 and ∠4 are across from each other
The only option with at least two of the true statements above is C.