Answers
Answer:
E + F = 2c² + 5c + 4
Step-by-step explanation:
[tex]E = 6c^2 - 2c - 1 \\\\F = -4c^2 + 7c +5\\\\E + F = (6c^2 - 2 c -1) + ( -4c^2 + 7c +5)[/tex]
[tex]=(6c^2 -4c^2) +(-2c + 7c) + (-1 + 5)[/tex] [tex][\ arranging \ terms\ ][/tex]
[tex]= 2c^2 + 5c + 4[/tex]
___________________________________
Let's Solve it!Given that:[tex]\quad\quad\quad\quad\tt{E = 6 {c}^{2} - 2c - 1}[/tex]
[tex]\quad\quad\quad\quad\tt{ F = - 4 {c}^{2} + 7c + 5}[/tex]
Formula:[tex]\quad\quad\quad\quad\tt{E + F = ?}[/tex]
Solution:[tex]\quad\quad\quad\tt{(6 {c}^{2} - 2c - 1) + ( - 4 {c}^{2} + 7c + 5)}[/tex]
Step by step:[tex] \quad\quad\quad\quad\tt{ ⟶(6 {c}^{2} ) + ( - 4 {c}^{2}) = \boxed{ \pink{2 {c}^{2} }}}[/tex]
[tex] \quad\quad\quad\quad\tt{ ⟶ ( - 2c) + ( 7c) = \boxed{ \pink{5c }}}[/tex]
[tex] \quad\quad\quad\quad\tt{ ⟶ ( - 1) + ( 5) = \boxed{ \pink{4 }}}[/tex]
Now, it will look like this:[tex] \quad\quad\quad\quad\tt{E + F =2 {c}^{2} + 5c + 4 }[/tex]
So, E + F is equal to:[tex] \quad\quad\quad\quad\tt{\boxed{ \boxed{ \color{magenta}{ 2 {c}^{2} + 5c + 4 }}}}[/tex]
___________________________________
#CarryOnLearning
✍︎ C.Rose❀
Related Questions
Identify the type of function represented by
f(x) = 4.2%
O A. Exponential growth
O B. Exponential decay
O C. Decreasing linear
O D. Increasing linear
Answers
Help me please I’m gonna cry finals i have 15 min left please I gave u all my points
3 questions
Answers
Answer:
Your just now have finals ?
Step-by-step explanation:
Ay, good luck tho homie !
Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees.
Parallelogram P Q R S is shown. Angle Q is (20 + 2 x) degrees and angle R is (6x) degrees.
What is the value of x?
5
10
20
25
Answers
Given:
In parallelogram PQRS, [tex]m\angle Q=(20+2x)^\circ,\ m\angle R=6x^\circ[/tex].
To find:
The value of x.
Solution:
In a parallelogram, the consecutive interior angles are supplementary angles.
In parallelogram PQRS,
[tex]m\angle Q+m\angle R=180^\circ[/tex] (Supplementary angles)
[tex](20+2x)^\circ+(6x)^\circ=180^\circ[/tex]
[tex](20+8x)^\circ=180^\circ[/tex]
[tex]20+8x=180[/tex]
Subtracting 20 from both sides, we get
[tex]8x=180-20[/tex]
[tex]8x=160[/tex]
Divide both sides by 8.
[tex]\dfrac{8x}{8}=\dfrac{160}{8}[/tex]
[tex]x=20[/tex]
Therefore, the correct option is C.
Answer:
c
Step-by-step explanation:
What are reciprocals?
Answers
Answer:
In mathematics,reciprocal is an expression or function so related to another that their product is unity; the quantity obtained by dividing the number one by a given quantity.
Answer:Rh
Step-by-step explanation:mama
Which fraction equals the ratio of rise to run between the points (0, 0) and (6, 7)? A. B. C. D.
Answers
Answer:
7 / 6
Step-by-step explanation:
Given the points:
points (0, 0) and (6, 7)
Point 1 : x1 = 0 ; y1 = 0
Point 2 : x2 = 6 ; y2 = 7
The rise = y2 - y1 = 7 - 0 = 7
The run = x2 - x1 = 6 - 0 = 6
Ratio of Rise to Run = Rise / Run = 7 / 6
Find the quadratic equation whose parabola has vertex (3,-2) and y-intercept (0, 16). Give your
answer in vertex form.
Answers
Answer:
y = 2*(x - 3)^2 - 2
Step-by-step explanation:
Remember that a quadratic equation of vertex (h, k) is written as:
y = a*(x - h)^2 + k
Where a is the leading coefficient.
So, if we know that the vertex is at (3, - 2)
we have:
y = a*(x - 3)^2 + (-2)
And we want the y-intercept to be (0, 16)
This means that, when we take x = 0, we must have y = 16
if we replace these in the above equation we get:
16 = a*(0 - 3)^2 - 2
now we can solve this for a
16 = a*(-3)^2 - 2
16 = a*9 - 2
16 + 2 = a*9
18 = a*9
18/9 = a
2 = a
Then the quadratic equation is:
y = 2*(x - 3)^2 - 2
In ΔOPQ, PQ = 14, QO = 13, and OP = 20. Which list has the angles of ΔOPQ in order from smallest to largest?
Answers
Answer:
The answer is A, that's the correct one
If AGHJ ~ ALMK, with a scale factor of 5:6,
find the perimeter of AGHJ.
Answers
Answer:
35
Step-by-step explanation:
Perimeter of LMK = 14 + 11 + 17
Perimeter of LMK = 42
Perimeter GHJ/ Perimeter LMK = 5/6
Perimeter GHJ / 42 = 5/ 6 Cross Multiply
6*Perimeter GHJ = 42 * 5
6*Perimeter GHJ = 210 Divide by 6
Perimeter GHJ = 210/6
Perimeter GHJ = 35
Which peicewise function is shown in the graph?
Answers
Answer:
Option (1)
Step-by-step explanation:
From the graph of the piecewise function,
There are two pieces of the function,
1). Segment (1) having x < 0
2). Segment (2) having x ≥ 0
Segment (1),
Segment starts with a hollow circle at x = 0 and passes through two points (0, 1) and (-2, 2)
Slope of the segment = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{2-1}{-2-0}[/tex]
= [tex]-\frac{1}{2}[/tex]
Equation of the segment passing through (-2, 2) with slope = [tex]-\frac{1}{2}[/tex],
[tex]y-y'=m(x-x')[/tex]
[tex]y-2=-\frac{1}{2}(x+2)[/tex]
[tex]y=-\frac{1}{2}x-1+2[/tex]
[tex]y=-\frac{1}{2}x+1[/tex]
[tex]y=-0.5x+1[/tex] For x < 0
Segment (2),
Segment starts with a solid circle at x = 0 and passes through (0, -2) and (2,2)
Slope of the segment = [tex]\frac{2+2}{2-0}[/tex]
= 2
Equation of the segment passing through (0, -2) and slope = 2,
y - y' = m(x - x')
y + 2 = 2(x - 0)
y = 2x - 2 For x ≥ 0
Therefore, Option (1) will be the correct option.
The ratio of boys to girls in a class is 5:4.There are 36Students in the class.how many students are girls?
Answers
Answer:
16 girls
Step-by-step explanation:
boys : girls : total
5 4 5+4 = 9
take the total number of people and divide by 9
36/9 = 4
Each number should be multiplied by 4
boys : girls : total
5*4 4*4 9*4
20 16 36
There are 16 girls
A survey was done to determine the relationship between gender and subject preference. A total of
56 students were surveyed to determine if they liked math, English, social studies, or science as their
favorite subject. The results were then broken down based on whether the respondent was male or
female.
Answers
The question is incomplete. The complete question is :
A survey was done to determine the relationship between gender and subject preference. A total of 56 students were surveyed to determine if they liked math, English, social studies, or science as their favorite subject. The results were then broken down based on whether the respondent was male or female.
Which of the following is the closest to the joint relative frequency of being a male who likes social studies ?
Solution :
A two way table used in statistics and mathematics is used to show the frequencies or the relative frequencies for any two categorical variables. One of the category is represented by the rows while the other categories by a column.
Here, in this table it is given that the total surveyed = 56 students
From the table, we know that number of males who likes social studies = 8
Therefore, the closest to the joint relative frequency for being a male who likes the subject social studies is given by :
[tex]$=\frac{8}{56}$[/tex]
[tex]$=\frac{1}{7}$[/tex]
=0.14
Center is (2,-2) another point on the circle is (-4,6) An equation of the circle in standard form is what?
Answers
Answer:
(x - 2)^2 + (y + 2)^2 = 100
Step-by-step explanation:
We know that the equation for a circle with a center in the point (a, b) and a radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
Here we know that the center of the circle is the point (2, - 2) and that the point (-4, 6) lies on the circle.
Then the radius of this circle will be the distance between (2, - 2) and (-4, 6)
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Then the distance between (2, - 2) and (-4, 6) is:
[tex]D = \sqrt{(2 - (-4))^2 + (-2 - 6)^2} = \sqrt{6^2 + (-8)^2} = \sqrt{100} = 10[/tex]
Then the radius of the circle is R = 10
and we know that the center is (2, -2)
the equation for this circle is then:
(x - 2)^2 + (y - (-2))^2 = 10^2
(x - 2)^2 + (y + 2)^2 = 100
Let p: x < −3
Let q: x > 3
What is represented by p ∨ q?
x < −3 and x > 3
x > 3 or x < −3
If x < −3, then x > 3
x < −3 if and only if x > 3
Answers
Answer:it is the number above the 5
Step-by-step explanation:
Which of the following uses set builder notation to denote the set of all (real) multiplicative inverses?
Answer Choices In Picture
Answers
Answer:
First Option
Step-by-step explanation:
please help me! i need this to pass!
Answers
Answer:
option E, C
Step-by-step explanation:
From the graph we will find the equation of g(x).
g(x) is a parabola with vertex ( h, k) = ( 0, 9)
Standard equation of parabola is , y = a (x - h)² + k
y = a (x - 0)² + 9
y = ax² + 9 ---------- ( 1 )
Now we have to find a .
To find a we will take another point through which the parabola passes .
Let it be ( 3, 0).
Substitute ( 3 , 0 ) in ( 1 ) => 0 = a (3 )² + 9
=> - 9 = 9a
=> a = - 1
Substitute a = - 1 in ( 1 ) => y = -1 x² + 9
=> y = - x² + 9
Therefore , g(x) = -x² + 9
Now using the table we will find h(x)
[tex]h(x) = 4^{x}[/tex]
So g(x) = -x² + 9 and [tex]h(x) = 4^{x}[/tex]
Option A : both function increases on ( 0, ∞ ) - False
[tex]\lim_{x \to \infty} g(x) = \lim_{x \to \infty} -x^2 + 9[/tex]
[tex]= - \lim_{x\to \infty} x^2 + \lim_{x \to \infty} 9\\\\= - \infty + 9\\\\=- \infty[/tex]
g(x) decreases on ( 0 , ∞)
[tex]\lim_{x\to \infty} h(x) = \lim_{x \to \infty} 4^{x}[/tex]
[tex]= \infty[/tex]
h(x) increases on ( 0, ∞)
option B : g(x) increasing on (- ∞, 0) - False
g(x) = -x² + 9
g( -2 ) = - (-2)² + 9
= - 4 + 9 = 5
g ( -5) = - ( -5)² + 9
= - 25 + 9 = - 14
As the value of x moves towards - ∞ , g(x) moves towards - ∞
Therefore g(x) decreases on (- ∞, 0)
Option C: y intercept of g(x) is greater than h(x) - True
y intercept of g(x) = ( 0 , 9 )
y intercept of h(x) = ( 0 , 1 )
Option D : h(x) is a linear function - False
Option E : g(2) < h(2) - True
g(x) = -x² + 9
g(2) = -(2)² + 9 = - 4 + 9 = 5
h(x) = 4ˣ
h(2) = 4² = 16
If q||r, solve for x
Answers
Answer:
12
Step-by-step explanation:
Since they are parallel then
(7x - 8) + (11x - 28) = 180
18x - 36 = 180
18x = 216
x = 12
In the cafeteria tables are arranged in groups of 4, with each table seating 8 students. How many students can sit at 10 groups of tables?
Answers
Set up an equation and solve for x
Answers
Answer:
x = -10
Step-by-step explanation:
verticle angles are congruent
80 + x = 70
Subtract 80 from both sides
x = -10
how do i solve for x with an equation that says 19 = x - 3
Answers
Answer: x = 22
Step-by-step explanation: Since x is unknown, we want to isolate it and determine what it equals. We know that x - 3 gives us 19, but we don't want to know what x - 3 is, just x. So we can add three to both sides of the equation, to get our answer and keep it balanced. As a result, we get x = 22
Answer:
x = 22
Step-by-step explanation:
19 = x - 3
Add 3 to each side
19 + 3 = x - 3 + 3
Simplify
22 = x
Please help. I completely forgot what to do ahh. If anyone knows, please let me know :(
Answers
5x + 20 = 3x + 60
-3x -20
2x = 40
x=2
Create a SQUARE pyramid that has a base area of 49 mm2 and a volume of 588mm3. Show the volume calculation.
Answers
Answer:
sorry
Step-by-step explanation:
hindi ko din alam
pls help due in 1 hr
Answers
Answer:
x = 10.6
Step-by-step explanation:
Soh...
Sine = Opposite / Hypotenuse
...cah...
Cosine = Adjacent / Hypotenuse
...toa
Tangent = Opposite / Adjacent
sin(49) = 8/x
x = 8/sin(49)
x = 10.6
jose bought "n" packs of pencils. Each pack has 12 pencils. Write an equation to represent the total number of pencils "p" that josé bought.
Answers
Answer:
nx12=p
Step-by-step explanation:
So every pack has 12 pencils. You multiply the packs of pencils that José bought with how much pencils per pack. Since José bought "n" packs of pencils, the equation is nx12. But the answer is also unknown since we don't know how much packs José bought, so the answer is "p", or the total number of pencils José bought.
HELP ME PLEASE WILL GIVE BRAINLIEST JUST HURRY GOT UNTIL TMRW AND ITS LATE LOL
Okay
Lia and Sergio are both saving to buy a
kayak that costs $800. The table shows
Lia'ssavings perweek. Sergio saves
$24 per week. Who will be able to buy
thekayak first? How long willit take?
Answers
Answer:
Sergio will buy first
It will take 34 weeks for Sergio
and 45 weeks for Lia
Step-by-step explanation:
Given Info: Per week Sergio Saves $24
How:
divide $72 by 4 weeks to find how much Lia is earning per 1 week.
72/4= 18
So Lia is saving 18$ per week while Sergio saves $24 per week
24>18
Sergio will save more per week so he will get it first.
It will take 34 weeks for Sergio
and 45 weeks for Lia
In the ordered pair below, which value represents the input to a function?
(2, 3)
Answers
Answer:
2
Step-by-step explanation:
In an order pair
(x,y)
The first number is the input and the second number is the output
(2,3) 2 is the input and 3 is the output
The product of sinA x cotA is
Answers
==========================================
Work Shown:
sin(A)*cot(A)
sin(A)*( cos(A)/sin(A) )
cos(A)
--------------
Basically I replaced cot(A) with cos(A)/sin(A). Then the sin(A) terms canceled out leaving cos(A) behind.
Answer:
cosA
Step-by-step explanation:
Using the identity
cotA = [tex]\frac{cosA}{sinA}[/tex] , then
sinA × cotA
= sinA × [tex]\frac{cosA}{sinA}[/tex] ( cancel sinA )
= cosA
PLEASE HELP! Code/answer
Answers
Answer:
29
7 : 27
Step-by-step explanation:
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
The ratio of students to teachers is 2:29
this means that for every 2 teachers, there are 29 students
There are 7 doctors and 27 nurses. this means that the ratio of doctors to nurses is 7 : 27
I need help with my math! Can you please help me!!
Answers
Answer:
[tex]y=-|x-1|+3[/tex]
Step-by-step explanation:
The graph of the function ([tex]y=|x|[/tex]) can be described as a perfect (v) shape composed of two lines with the equation ([tex]y=x[/tex]) and ([tex]y=-x[/tex]) with a range of ([tex]y\geq 0[/tex]). In the depicted graph, this function has undergone some transfomrations. The general format for a transformation of an absolute value function is the following;
[tex]y=(+-)n|x-k|+h[/tex]
The function can be inverted if the sign of (n) is (-). As per the given graph, the function is inverted, thus the answer will have a (-) sign in front of it. One can see that the (n) value has to be (1) or rather not present since the function has no scaling factor.
[tex]y=-|x|[/tex]
The function has been shifted (k) units to the right, one can see that the given function's vertex is (1) unit to the right, thus the equation of the function has a (1) in the position of (k).
[tex]y=-|x-1|[/tex]
The function is shifted (3) units up, thus the position of (h) is occupied by a (3).
[tex]y=-|x-1|+3[/tex]
Therefore the following answer choice is correct, as it fits all of the requirements;
[tex]y=-|x-1|+3[/tex]
Solve the following inequality for qq. Write your answer in simplest form. -6q+7≤8q-3
Answers
Answer:
q ≥ 5/7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
-6q + 7 ≤ 8q - 3
Step 2: Solve for q
[Subtraction Property of Equality] Subtract 8q on both sides: -14q + 7 ≤ -3[Subtraction Property of Equality] Subtract 7 on both sides: -14q ≤ -10[Division Property of Equality] Divide -14 on both sides: q ≥ 5/7Here we see that any number q greater than or equal to 5/7 would work as a solution to the inequality.
Answer:
q ≥ [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Given
- 6q + 7 ≤ 8q - 3 ( add 6q to both sides )
7 ≤ 14q - 3 ( add 3 to both sides )
10 ≤ 14q ( divide both sides by 2 )
5 ≤ 7q ( divide both sides by 7 )
[tex]\frac{5}{7}[/tex] ≤ q , then
q ≥ [tex]\frac{5}{7}[/tex]
What is |x - 9| = 0 in word form?
Answers
Answer:
x = 9
Step-by-step explanation:
|x - 9| = 0
x = 9
|9 - 9| = 0
|0| = 0
0 = 0
