Answer:
the commutative property of addition :)
The point slope formula (if possible) to write an equation of the line given the following information…we
The equation in point slope form is y - 6 = 2(x + 3)
This is from the general point slope template of [tex]y - y_1 = m(x - x_1)[/tex]
The m is the slope, which in this case is m = 2. The [tex](x_1,y_1)[/tex] is the point the line goes through. In this case, [tex]x_1 = -3 \text{ and } y_1 = 6[/tex]
If you were to solve that equation in bold for y, then you should get y = 2x+12 which is now in y = mx+b form, aka slope intercept form.
What is the domain of f(x) = 5x – 7?
{x | x > –7}
{x | x < –7}
{x | x > 0}
{x | x is a real number}
Answer:
{x | x is a real number}
Step-by-step explanation:
f(x) = 5x – 7
There are no restrictions on the value that x can take
The domain is all real numbers
Answer:
In the given expression, that is, f (x) = 5x - 7, we can say:
x satisfies all the real values starting from -∞ to ∞.
domain of 5x-7
Interval notation for f (x):
(- ∞ , ∞)
So, the domain will be all real numbers, as the function is a straight line, with no discontinuities, thus undefined at no value of x.
there are 108 flowers. 1/9 of them bloomed. How many did not bloom? How many did?
Answer:
96 flowers did not bloom and 12 did.
Explanation:
Total flower = 108
Number of flower that bloomed
= ⅑ of the total flowers
= ⅑ of 108
= ⅑ × 108
= 108/9
= 12
So, number of flowers that did not bloom
= Total flowers - Number of flowers that bloomed
= 108 - 12
= 96
So, 96 flowers did not bloom and 12 flowers did.
Chocolate bars come in packs of 8 and graham crackers come in packs of 12. What is the smallest number of chocolate bars and graham crackers we would need to buy so we don't have any left over?
Answer:
3 chocolate bars, and 2 graham crackers
Someone forgot the marshmallows...... :P
Step-by-step explanation:
Chocolate bars = 8 pack
Graham Crackers = 12pack
To have no crackers or chocolate left over, we need to find LCM
Factors of 8:
8, 16, 24, 32, 40, 48, 56, 72....
Factors of 12:
12, 24, 36, 48, 60, 72
The smallest LCM is 24
Chocolate bars:
24/8 = 3
Graham Crackers:
24/12 = 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
3 packs of chocolate and 2 packs of crackers
Step-by-step explanation:
the lowest common multiple of 8 and 12 is 24. We can determine this by prime factorization:
Prime factors of 8: 2 x 2 x 2
Prime factors of 12: 2 x 2 x 3
multipyling the bottom rungs of our factor tree we get: 2 x 2 x 2 x 3 = 24.
If you need me to draw the factor tree, just ask.
two triangles are similar what is x
Answer:
x = 10
Step-by-step explanation:
smaller triangle / bigger triangle = 20 / 28
hence,
3x / (4x+2) = 20/28
28(3x) = 20(4x+2)
84x = 80x + 40
4x = 40
x = 10
Alberto quiere envasar 32 toneladas de arroz en sacos de 15 kilogramos cada uno, ¿Cuántos sacos necesitarán?
im bad at math and i need help ;^;
Answer:
[tex] \sqrt{ {x}^{10} } \div x \\ \frac{ \sqrt{ {x}^{9}x } }{x} \\ = \sqrt{ {x}^{9} } \\ = \sqrt{ {x}^{8}x } \\ = {x}^{4} \sqrt{x} \\ thank \: you[/tex]
Answer:
x⁴√x
Step-by-step explanation:
simplify x¹⁰ and x to √x⁹ then simplify the radical equation to x⁴√x
The ratio of the volumes of two spheres is 827. What is the ratio of the lengths of the radi of these two spheres?
23
Answer:
2:3
Step-by-step explanation:
r_1^3:r_2^3=8:27
r_1:r_2=2:3
Answer:
2/3
Step-by-step explanation:
solve volume formula for r and then use v1 and v2 from the ratio to find r1 and r2
v = 4/3 Pi r**3
(3/4 v) / Pi = r**3
r = (3v/4Pi)**1/3
Then
r1 = (3*8/4pi)**3
= (6/Pi)**1/3
= 1.24
r2 = (3*27/4Pi)**3
= (81/4Pi)**3
= (6.45)**3
= 1.8
Then
r1/r2 = 1.24/1.8 = .6666666 or 2/3
Ben wants to get a 94 in math class. His grade will be the average of two test scores. He scored an 89 on the first test. What grade does Ben need to get on his second test to meet his goal?
Answer:
Ben needs to get a 99% on his second test
Step-by-step explanation:
The average is the sum of both test scores, divided by the total number of test scores (2).
Let x by the grade Ben must receive on his second test.
(89 + x)/2 = 94
Multiply by 2 on both sides
89 + x = 188
Subtract 89 on both sides
x = 99
Check work:
(89 + 99)/2 = 188/2 = 99
Answer: 99
Concept:
Here, we need to know the idea of the average value.
In mathematics, average refers to the sum of a group of values divided by n, where n is the number of values in the group.
Average = Sum of value / number of values
Solve:
Given information
Scoring on first test = 89
Scoring on second test = x
Number of tests = 2
Average = 94
Given expression
Average = Sum of value / number of values
Substitute values into the expression
94 = (89 + x) / 2
Multiply 2 on both sides
94 × 2 = (89 + x) / 2 × 2
188 = 89 + x
Subtract 89 on both sides
188 - 89 = 89 + x - 89
[tex]\boxed{x=99}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
A. 4
B. -9/8
C. 8/7
D. -7/2
(it’s not C ik that)
Pls help so I did tournament with my friend the placement is 1st-1250th and we got top 27% what does that mean-
Answer:
1st place through 1250th. 1250 Divided by top 27% = 337.5
Step-by-step explanation:
Hope this helps! Have a great day
Solve the following literal equation for b.
cb + db = a
Step-by-step explanation:
[tex]cd + db = a \\ b(c + d) = a \\ \frac{b(c + a)}{a + b} \\ b = \frac{a}{c + d} [/tex]
Answer:
The other answer is correct
Step-by-step explanation:
is 3.00d+1.50d equivalent to 6.00d +3.00d?
Correct answer gets 5 stars and brainliest
Answer:
Option CStep-by-step explanation:
Find the equation of the graphed line.
Use 2 points, (0, -6) and (2, 4)
m = (4 + 6)/2 = 5b = -6The equation is:
y = 5x - 6Compare with the given line y = 4x + 2
5 > 4 and -6 < 2Correct answer choice is c
If A= and then find : 2A + 3B
Step-by-step explanation:
Answer:
Step-by-step explanation:
13824 = 2a*3b
13824= 6ab
Ab = 13824/6
A= 13824/b
B= 13824/a
4x squared - 35 y squared
Answer:
it was helpful to you ✌︎✌︎✌︎✌︎✌︎✌︎✌︎➪♧︎︎︎
[tex]4 {x}^{2} - 25 {y}^{2} \\ (2 x) {}^{2} - {(5y)}^{2} \\ (2x + 5y)(2x - 5y)[/tex]
Answer:
[tex] = 1)(2x - 5y {)} \times (2x + 5y)[/tex]
Step-by-step explanation:
[tex]1) {4x}^{2} - 25 {y}^{2} [/tex]
[tex] = {2}^{2} {x}^{2} - 25 {y}^{2} [/tex]
[tex] = {2}^{2} {x}^{2} - {5}^{2} {y}^{2} [/tex]
[tex] = (2 {x)}^{2} - {5}^{2} {y}^{2} [/tex]
[tex] = ( {2x)}^{2} - (5 {y)}^{2} [/tex]
[tex] = (2x - 5y) \times (2x + 5y)[/tex]
[tex]2)4x^{2} - 35 {y}^{2} [/tex]
[tex] = {2}^{2} {x}^{2} - 5y \times 7 {y} [/tex]
[tex] =(2x {)}^{2} - (5y \times 7y)[/tex]
What is the value of the expression 3.9x10^5/1.3x10^2?
I will mark Brainliest whoever person I actually trust.
Answer:
3 * 10 ^3
Step-by-step explanation:
Divide the numbers
3.9 / 1.3
3
Subtract the powers of 10
10^5 / 10^2 = 10 ^ (5-2) = 10^3
The result is 3 * 10 ^3
[tex] \frac{3.9 \times {10}^{5} }{1.3 \times {10}^{2} } \\ = \frac{3.9}{1.3} \times {10}^{5 - 2} \\ = 3.0 \times {10}^{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Consider this polynomial, where a is an unknown real number.
p(t) = x^4 +5x^3 + ax^2 - 3x + 11
The remainder of the quotient of P(x), and (x+ 1) is 17.
Braulio uses synthetic division to find the value of a, and Zahra uses the remainder theorem to find the value of a.
Answer:
Brauilo is wrong because he divided by (x+1) instead of (x-1)
Step-by-step explanation:
The remainder Theorem states that
if polynomial f(x) is divided by binomial x-a, the remainder will equal f(a). The factor is positive so the binomial is the same as
which is why we divide by -1, or subsitue -1 into the equation p(x).
The remainder of a polynomial division can be gotten using remainder theorem or synthetic division.
The true statement is: Brauilo did not find the value of a, because he divided by (x+1) instead of (x-1)
From the question, we have the following parameters:
[tex]\mathbf{p(x) = x^4 +5x^3 + ax^2 - 3x + 11}[/tex]
[tex]\mathbf{Divisor =x+ 1}[/tex]
[tex]\mathbf{Remainder = 17}[/tex]
First, we set the divisor to 0.
[tex]\mathbf{Divisor =x+ 1 = 0}[/tex]
So, we have:
[tex]\mathbf{x+ 1 = 0}[/tex]
Solve for x
[tex]\mathbf{x= -1}[/tex]
The above equation means that, the value of x that will be used to test the polynomial is -1
From the question,
Zahra used [tex]\mathbf{x= -1}[/tex]; this is represented as: P(-1)Braulio used [tex]\mathbf{x= 1}[/tex]; this is represented in the synthetic divisionHence, Braulio is incorrect, because he used the wrong value of x
Read more about polynomial division at:
https://brainly.com/question/12011809
witch number line represents the solution for the inequality 3x<-9
Answer:
x < -3
Step-by-step explanation:
3x<-9
Divide each side by 3
3x/3 <-9/3
x < -3
Open circle at -3 line going to the left
Answer:
Step-by-step explanation:
3x < -9
Divide both sides by 3
x < - 3
x = {........-5, - 4 ,}
what is the midpoint of the line segment graphed below (-1, 5) (-8, -4)
Answer:
The midpoint is (-4.5,.5)
Step-by-step explanation:
To find the x coordinate, add the x coordinate of the ends and divide by 2
(-1+-8)/2 = -9/2 = -4.5
To find the y coordinate, add the y coordinate of the ends and divide by 2
(5+-4)/2 = 1/2 =.5
The midpoint is (-4.5,.5)
explanation would be appreciated. i don’t understand
Answer:
[tex]28\sqrt{3}[/tex]
Step-by-step explanation:
The area of the big triangle is 1/2 b h = 1/2*6*(12^2 = 6^2 + x^2)
that ends up being [tex]\sqrt{108} = 36\sqrt{3}[/tex]
the small triangle are needs to be subtracted....
[tex]\frac{\left(4\cdot \:sin\left(90\right)\right)}{sin\left(30\right)}[/tex] that is the length of the unknown side...
1/2 B * h of that triangle get you to [tex]8\sqrt{3}[/tex]
just subtract the two areas
Answer:
(B) 28√3
Step-by-step explanation:
The area of quadrilateral ABED is equal to the area of triangle CDE subtracted from the area of triangle ABC.
Area of triangle CDE:
Triangle ABC is equilateral. All sides have length 12.
AB = BC = AC = 12
BE = 8
BE + EC = BC
8 + EC = 12
EC = 4
In an equilateral triangle, all angles measure 60°.
m<C = 60°
m<CDE = 30°
Triangle CDE is a 30-60-90 triangle.
DE = EC√3
DE = 4√3
area of triangle CDE = bh/2
area of triangle CDE = (EC)(DE)/2
area of triangle CDE = (4)(4√3)/2
area of triangle CDE = 8√3
Area of triangle ABC:
Side AC is a base of triangle ABC.
AC = 12
(1/2)AC = 6
The altitude of triangle ABC from side AC to vertex B measures
h = 6√3
area of triangle ABC = bh/2
area of triangle ABC = (AC)(h)/2
area of triangle ABC = (12)(6√3)/2
area of triangle ABC = 36√3
area of quadrilateral ABED = area of triangle ABC - area of triangle CDE
area of quadrilateral ABED = 36√3 - 8√3
area of quadrilateral ABED = 28√3
FIRST CORRECT WILL BE MARKED BRAINLIEST!!!
Which expression is the result of solving the equation ax-b=cy for x (For a[tex]\neq[/tex]0)
Answer:
x = (cy+b)/a
Step-by-step explanation:
ax-b=cy
Add b to each side
ax-b+b=cy+b
ax = cy +b
Divide each side by a
ax/a = (cy+b)/a
x = (cy+b)/a
Will Mark Brainlest !!!=
Answer:
Hello,
Answer m=-1, n=-6,l=2
Step-by-step explanation:
[tex]A*U=B\\\begin{bmatrix}3&-1&0\\0&1&3\\0&0&2\end{bmatrix}*\begin{bmatrix}m\\n\\l\end{bmatrix}=\begin{bmatrix}3\\0\\4 \end{bmatrix}\\\\\\A^{-1}=\begin{bmatrix}\dfrac{1}{3}&\dfrac{1}{3}&\dfrac{-1}{2}\\\\0&1&\dfrac{-3}{2} \\\\0&0&\frac{1}{2}\end{bmatrix}\\\\\\A^{-1}*A*U=A^{-1}*B\\[/tex]
[tex]U=\begin{bmatrix}\dfrac{1}{3}&\dfrac{1}{3}&\dfrac{-1}{2}\\\\0&1&\dfrac{-3}{2}\\\\0&0&\dfrac{1}{2}\end{bmatrix}*\begin{bmatrix}3\\0\\4\\\end{bmatrix}=\begin{bmatrix}-1\\-6\\2\end{bmatrix}\\\\[/tex]
. If the market price of a dozen eggs at the local farmers market is 72 cents per dozen, will Brenda make an economic profit? Explain how you determined your answer. (4 points)
Cost of dozen eggs = 72 cents
Cost of 1 egg = 72÷12
= 6cents
Please click thanks and mark brainliest if you like
Factor Z squared minus 3Z -18
Answer:
z^2-3z-18
=(z^2+3z)+(-6z-18)
=z(z+3)-6(z+3)
=(z+3)(z-6)
for a mathematical statement to be an equation, the quantities on each side of an equal sign must be?
Answer:
equal or balanced
Step-by-step explanation
the = demonstrates the amounts need to be the same
Answer: Balanced.
Step-by-step explanation:
For an equation each side shall be equal (balanced) or else it's NOT an equation.
Solve: MXC multiplied by IV. Show your answer in standard form. Standard Roman Number Numeral 1 1 5 V 10 50 L 100 C 500 D 1,000 M X-003 O A) 4,060 OB) 4,360 OC) 4,440
Answer:
4360
Step-by-step explanation:
MXC is 1090 and a IV is 4 so 1090 x 4 is 4360
PLEASE HELP!!! Sketch the graphs: y=|x-1|+2 y=|x-1|-2
Does the answer help you?
Which expression is equivalent to 2(14x-3y+28+12.2-5y-17.5)
Answer:
28x-16y+45.4
Step-by-step explanation:
Add up all the variables inside the bracket by first grouping like terms
Then, multiply through by 2 ✅✅
I NEED HELP !!!
Find the measure of SR.
A.10
B.8
C.7
D.11
The measure of SR is 10.
The given figure has two secant segments and two external segments.
QU = secant segment
QS = secant segment
QP = external segment of QU
QR = external segment of QS
We need to find the measure of SR.
What is the theorem when two secant segments share the same endpoint outside a circle?It states that the product of the length of one secant segment and the length of its external segment equals the product of the length of the other secant segment and the length of its external segment.
Applying the secant theorem in the given figure.
QU x QP = QS x QR
( 9 + 7 ) x 9 = (8 + 3X-5) x 8
16 x 9 = (3 + 3X) x 8
144 = 24 + 24X
144 - 24 = 24X
120 = 24X
X = 120 / 24
X = 5
Now Putting X = 5 in SR = 3X-5
We get,
SR = 3 x 5 - 5
SR = 15 - 5
SR = 10
After applying the secant segment theorem we got the measure of SR as 10.
Learn more about secant segments in a circle here:
https://brainly.com/question/18760361
#SPJ5
