Answers
Answer:
[tex]4y + 6y = 90 \\ 10y = 90 \\ y = 9 \\ thank \: you[/tex]
Related Questions
10. Multiple Choice Use points A(5, 1),
B(5, 6), C(1,4) and D(4, -2) to determine which of the following is true.
AB = BC AB = CD
AB = BD AC = AB
BC = CD
Answers
9514 1404 393
Answer:
AC = AB
Step-by-step explanation:
The attached diagram shows the only segments that are the same length are ...
AC = AB
__
A and B lie on the same vertical line, 5 units apart. A and C are separated by 3 units vertically and 4 units horizontally, so AC is the hypotenuse of a 3-4-5 right triangle.
Question 3(Multiple Choice Worth 2 points)
Write the equation 4x – 3y = 12 in the form y = mx + b.
Oy = t - 4
o
y = 3x – 12
o
IN
Y
ft +4
Oy = -x - 4
Answers
Answer:
y = [tex]\frac{4}{3}[/tex] x - 4
Step-by-step explanation:
Given
4x - 3y = 12 ( subtract 4x from both sides )
- 3y = - 4x + 12 ( divide terms by - 3 )
y = [tex]\frac{4}{3}[/tex] - 4 ← in the form y = mx + b
PLEASE HELP TURNING A SENTENCE INTO A EQUATION
44 is the product 4 and Greg's height. Use the variable g to represent Greg's height
Answers
Step-by-step explanation:
do you happen to have a photo reference your sentence is a bit confusing
Answer:
44 = 4 · g OR g · 4 = 44
Step-by-step explanation:
So first we need to know what a variable is...
A variable is an unknown number in a math sentence
Knowing that we can write the equation.
"44 is the product 4 and Greg's height. Use the variable g to represent Greg's height"
Since we do not know Greg's height that is what we will use variable g to substitute it.
"44 is the product 4 and g"
Now all we have to do is convert this into an equation
(Note: Whenever you see product of something know that it means that you need to multiply)
So your final answer is...
44 = 4 · g
(Explanation: Since it says 44 is the product of then it means it is the answer so we will put an equal sign)
Hope this helps :)
What is the vertex of the parabola with the equation y=15x2+2x−8?
Answers
Answer:
a =15, b=2
Axis of Symmetry = [tex]\frac{-b}{2a}[/tex]
[tex]=\frac{-2}{2 * 15}[/tex]
= [tex]-\frac{1}{15}[/tex]
To find the y-value for the vertex sub in the axis of symmetry for x
[tex]y=15(-\frac{1}{15} )^{2}+2(-\frac{1}{15} )-8\\\\=-\frac{121}{15}[/tex]
∴ Vertex [tex](-\frac{1}{15}, -\frac{121}{15} )[/tex]
Step-by-step explanation:
Express as a trinomial.
(x + 6)(2x + 4)
Answers
Answer:
2x²+16x + 24
Step-by-step explanation:
(x + 6) ( 2x + 4)
x ( 2x + 4) + 6 ( 2x + 4)
2x² + 4x + 12x + 24
2x² + 16x + 24
Hope this helps
The polynomial function [tex](x + 6)(2x + 4)[/tex] expressed as a trinomial is [tex]2x^2 + 16x + 24[/tex].
Given data:
The polynomial function is represented as A.
Now, the value of [tex]A=(x + 6)(2x + 4)[/tex].
On simplifying the equation:
From distributive property to multiply the terms:
[tex]A=x * 2x + x * 4 + 6 * 2x + 6 * 4[/tex]
[tex]A=2x^2 + 4x + 12x + 24[/tex]
On simplifying the equation:
[tex]A=2x^2 + 16x + 24[/tex]
Hence, the trinomial is [tex]2x^2 + 16x + 24[/tex].
To learn more about polynomial equations, refer:
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Find a polynomial $f(x)$ of degree $5$ such that both of these properties hold: $\bullet$ $f(x)$ is divisible by $x^3$. $\bullet$ $f(x) 2$ is divisible by $(x 1)^3$. Write your answer in expanded form (that is, do not factor $f(x)$).
Answers
There seems to be one character missing. But I gather that f(x) needs to satisfy
• [tex]x^3[/tex] divides [tex]f(x)[/tex]
• [tex](x-1)^3[/tex] divides [tex]f(x)^2[/tex]
I'll also assume f(x) is monic, meaning the coefficient of the leading term is 1, or
[tex]f(x) = x^5 + \cdots[/tex]
Since [tex]x^3[/tex] divides [tex]f(x)[/tex], and
[tex]f(x) = x^3 p(x)[/tex]
where [tex]p(x)[/tex] is degree-2, and we can write it as
[tex]f(x)=x^3 (x^2+ax+b)[/tex]
Now, we have
[tex]f(x)^2 = \left(x^3p(x)\right)^2 = x^6 p(x)^2[/tex]
so if [tex](x - 1)^3[/tex] divides [tex]f(x)^2[/tex], then [tex]p(x)[/tex] is degree-2, so [tex]p(x)^2[/tex] is degree-4, and we can write
[tex]p(x)^2 = (x-1)^3 q(x)[/tex]
where [tex]q(x)[/tex] is degree-1.
Expanding the left side gives
[tex]p(x)^2 = x^4 + 2ax^3 + (a^2+2b)x^2 + 2abx + b^2[/tex]
and dividing by [tex](x-1)^3[/tex] leaves no remainder. If we actually compute the quotient, we wind up with
[tex]\dfrac{p(x)^2}{(x-1)^3} = \underbrace{x + 2a + 3}_{q(x)} + \dfrac{(a^2+6a+2b+6)x^2 + (2ab-6a-8)x +2a+b^2+3}{(x-1)^3}[/tex]
If the remainder is supposed to be zero, then
[tex]\begin{cases}a^2+6a+2b+6 = 0 \\ 2ab-6a-8 = 0 \\ 2a+b^2+3 = 0\end{cases}[/tex]
Adding these equations together and grouping terms, we get
[tex](a^2+2ab+b^2) + (2a+2b) + (6-8+3) = 0 \\\\ (a+b)^2 + 2(a+b) + 1 = 0 \\\\ (a+b+1)^2 = 0 \implies a+b = -1[/tex]
Then [tex]b=-1-a[/tex], and you can solve for a and b by substituting this into any of the three equations above. For instance,
[tex]2a+(-1-a)^2 + 3 = 0 \\\\ a^2 + 4a + 4 = 0 \\\\ (a+2)^2 = 0 \implies a=-2 \implies b=1[/tex]
So, we end up with
[tex]p(x) = x^2 - 2x + 1 \\\\ \implies f(x) = x^3 (x^2 - 2x + 1) = \boxed{x^5-2x^4+x^3}[/tex]
Christine received a $15.00 gift card or a photo center. She used it to buy prints that cost 7 cents each. The remaining balance, B ( in dollars), on the card after buying x prints is given by the following function. B (x) = 15.00-0.07x. what is the remaining balance of the card if Christine bought 40 prints
Answers
Answer:
Remaining balance is $12.2
Step-by-step explanation:
see all steps in picture.
will mark brainliest if correct
Answers
Answer:
Distributive property
Step-by-step explanation:
The 2 shares a product/multiplies with both the 5 and 7.
Show that 3x^2 -2x + 1 is always greater than 0.
( This is an Additional Math Question )
Answers
Answer:
3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3
(x-1/3)^2 is greater or equal to zero
3(x-1/3)^2 is greater or equal to zero
and 2/3 is greater than zero
So there sum is greater than zero
Proved
Step-by-step explanation:
3x^2 -2x + 1 =3(x^2-2/3x+1/3)
Consider x^2-2/3x+1/3
Remember that (a-b)^2 =a^2-2ab+b^2
x^2=a^2
a=x
-2/3x= -2*x*b
b=1/3
S0 (x-1/3)^2= x^2-2/3x+1/9
x^2-2/3x+1/3= x^2-2/3x+1/9+1/3-1/9= (x-1/3)^2+2/9
3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3
(x-1/3)^2 is greater or equal to zero
3(x-1/3)^2 is greater or equal to zero
and 2/3 is greater than zero
So there sum is greater than zero
Proved
Plz urgent
inequalities
Answers
Answer:
X>-4
Y>-18
X>-7
I hope this helps
The factorization of a (x + y + z) + b(x + y + z) + c(x + y + z) is
pls answer maheshsinghmeenu sister
Answers
Answer:
(a+b+c) (x+y+z)
Step-by-step explanation:
hope this helps to uh
Step-by-step explanation:
x+y+z+bx+by+bz+cx+cy+cz
Take Like terms
x+bx+cx+y+by+cy+z+bz+cz
x(b+c)+y(b+c)+z(b+c)
(x+y+z)(b+c)
hope it helps
One-sixth of the smallest of three consecutive even
integers is three less than one-tenth the sum of the
other even integers. Find the integers. this
#49 with work pleasee
Answers
Answer:
The three even, consecutive integers are 72, 74, and 76.
Step-by-step explanation:
Let a be the first even integer.
Then the other two consecutive integers, b and c, will be represented by:
[tex]\displaystyle b = a + 2 \text{ and } \\ \\ c = b + 2 = (a + 2) + 2 = a + 4[/tex]
One-sixth of the smallest (that is, a) is three less than one-tenth the sum of the other two even integers (that is, b and c).
Therefore:
[tex]\displaystyle \frac{1}{6} a = \frac{1}{10}\left( b +c\right) - 3[/tex]
Solve for a. Substitute:
[tex]\displaystyle \frac{1}{6} a =\frac{1}{10}\left((a+2)+(a+4)\right) - 3[/tex]
Simplify and solve for a:
[tex]\displaystyle \begin{aligned} \frac{1}{6} a &= \frac{1}{10}(2a + 6) - 3 \\ \\ \frac{1}{6} a &= \frac{1}{5} a + \frac{3}{5} - 3\\ \\ -\frac{1}{30} a &= -\frac{12}{5} \\ \\ a &= 72\end{aligned}[/tex]
Hence, the first even integer is 72.
Therefore, the two other consecutive even integers must be 74, and 76.
In conclusion, the three even, consecutive integers are 72, 74, and 76.
explain what a ratio is in the easiest way possible
Answers
Step-by-step explanation:
A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.
Please help me out solve it and tell me how you got that answer so I can understand please!
Answers
The solution for s in the given equation is [tex]s = C-nD[/tex]
The question seems to be incomplete
Here is the complete question:
Solve for s in this equation [tex]D= \frac{C-s}{n}[/tex] Depreciation.
To solve for s, that means we should make s the subject of the equation
From the given equation,
[tex]D= \frac{C-s}{n}[/tex]
To solve for s, first multiply both sides by n to clear the fraction
We get
[tex]n\times D= n \times \frac{C-s}{n}[/tex]
Then,
[tex]nD = C - s[/tex]
Now, add s to both sides
[tex]nD + s= C - s+s[/tex]
[tex]nD+s = C[/tex]
Then, subtract nD from both sides
[tex]nD-nD+s = C-nD[/tex]
∴ [tex]s = C-nD[/tex]
Hence, the solution for s in the given equation is [tex]s = C-nD[/tex]
Learn more here: https://brainly.com/question/21406377
there are initially 1000 bacteria in a culture. The number of bacteria double each hour. the number of bacteria N present after t hours is given by N=1000 (2)t. how long will it take the culture to increase to 30,000 bacteria.
Answers
Answer:
FREEEEEEE POINTSSSSSSS
Step-by-step explanation:
solve this problem show work. -5/6 + 1/3
Answers
-5/6 + 1/3 = -5/6 + 2/6
To add fractions, add the numerators:
-5 + 2 = -3
So, -5/6 + 2/6 = -3/6
This can reduce, since 3 and 6 are divisible by 3.
-3/6 = -1/2
Help plsssssssssssssssssss
Answers
2. 7/5 More than
3. 2/3Less than
If the number is less than a 1, it’s going to be less. If the number is greater than 1 it will be more. I’m this case, you can just look at what’s being multiple and apply that rule- so just excuse the 7/75.
Distance between (-2,-2) and (8,-6)
Answers
Answer:
Distance btw (-2, -2) and (8, -6) is (10, -4)
Step-by-step explanation:
I. Give (-2, -2) is A and (8, -6) is B
B - A = 8 - (-2) in x
= -6 - (-2) in y
So B - A = 10, -4
II. You can prove the answer by A.value + (10, -4) = B.value
Hope that help :D
Hi ;-)
[tex]\text{A}=(-2,-2) \ \text{and} \ \text{B}=(8,-6)\\\\|AB|=\sqrt{(8-(-2))^2+(-6-(-2))^2}\\\\|AB|=\sqrt{(8+2)^2+(-6+2)^2}\\\\|AB|=\sqrt{10^2+(-4)^2}\\\\|AB|=\sqrt{100+16}\\\\|AB|=\sqrt{116}\rightarrow\boxed{|AB|=2\sqrt{29}} \ (\text{because} \ 116=4\cdot29)[/tex]
HelpITS DUE TMR PLZ HELP AHHHHHHHHH
Answers
Answer:
A. 1.50 x 12 = 13.5 for 12 gallons
B. i dont know sorry
C. 12.60 divided by 1.50 = 8.4 gallons
Step-by-step explanation:
what is seven over four as a mixed number?
Answers
Answer:1 3/4
Step-by-step explanation:
Answer:7/4=1 3/4
Step-by-step explanation:
it is like this,7,we can think of 8,which would 2,but it is 7,so we drop down to 1 whole.Then we have 3 remaining,which makes 1 and 3/4
solve the equation
5(2x + 8) = - 33 +53
Answers
Answer:
5(2x + 8) = –33 + 53
10x + 40 = –33+53
10x= –33+53–40
10x = –20
x = –20/ 10
x = – 2
I hope I helped you^_^
find the value of x and y
Answers
The answer is in the above picture.
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = 1/4(x- 8). What
is the slope-intercept form of the equation for this line?
0 y= 1/4x-12
y= 1/4x-4
y= =1/4x+2
y= 1/4x+6
Answers
Hi! I'm happy to help!
Point slope form states that y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex]). m represents your slope (rise/run) and [tex]y_{1}[/tex] and [tex]x_{1}[/tex] represent your first y and x points, and y and x represent your second y and x points. We already have our equation here:
y - 4 = 1/4(x- 8)
Now, let's dive into what slope-intercept form is. Slope intercept form states that y=mx+b. m represents our slope, b represents our y intercept, y represents a y point, and x represents the corresponding x point.
Since we know our m, we can solve for b, by using our other numbers. Let's use our first set of coordinates.
4=1/4(8)+b
4=2+b
2=b
Now our second set to double check:
2=1/4(0)+b
2=0+b
2=b
We know that b must equal 2, so our equation must be y=1/4x+2, which is option 3.
You should pick option 3.
(y-intercept is where the line hits the y-axis(when x=0). We could've used our second coordinates (0,2), where x equals 0 to know that 2 is the y-intercept (b). This shortcut only works on specific problems though.)
I hope this was helpful, keep learning! :D
B is the midpoint of AC. If AB = x + 5 and AC = 3x - 6, find BC.
Answers
Hey there! I'm happy to help!
We see that at AB is halfway across our line. We see that AC is the total line.
So, to find the other half, we have to subtract AB from AC, which will give us the value of BC.
We first will subtract our x values.
3x-x=2x
And then we subtract our numbers.
-6-5=-11
So, BC is 2x-11.
Have a wonderful day and keep on learning! :D
Answer:
21 unitsStep-by-step explanation:
Since B is the midpoint, we have:
AB = BC = AC/2Substitute and solve for x:
x + 5 = (3x - 6)/23x - 6 = 2x + 103x - 2x = 10 + 6x = 16Find BC:
BC = AB = 16 + 5 = 21If
f(x) = x^2 + 2x – 4
and
g(x) = 3x + 1
Find
f(g(x)) = 9x^2 + [ ? ]x+ [?]
Answers
Step-by-step explanation:
f(g(x))=(3x+1)^2 +2(3x+1) -4
=9x^2 +6x +1 +6x +2 -4
=9x^2 +12x +(-1)
Round to the nearest hundred 16,537
Answers
Answer:
16,500
Step-by-step explanation:
thats it
i need help i need answered assap no bs
Answers
Steps:-
First put the vertices on graph and find Triangle ABC .
Then Transact it the give amount i.e 5units and get A'B'C'
Janet has a $65 budget to buy paper goods and plastic cutlery for an impromptu birthday party. She determines that the paper goods will cost $37.50. How many sets
of cutlery can she purchase if each set costs $0.75?
Answers
Final answer 36.
Janet can purchase 36.67 sets of cutlery if each set costs $0.75.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
Janet has $65 to spend on paper goods and cutlery, and the paper goods will cost $37.50,
So, she has $65 - $37.50 = $27.50 remaining to spend on cutlery.
Each set of cutlery costs $0.75,
So, Janet can purchase sets of cutlery :
⇒ $27.50 / $0.75
Apply the division operation, and we get
⇒ 36.67
Since it's not possible to buy a fraction of a set, Janet can only buy 36 sets of cutlery.
Therefore, she can purchase 36.67 sets of cutlery.
To learn more about the division operation click here :
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Find the coordinates of the point 7/10 of the way from A to B.
Answers
Answer:
The coordinates are (6.5, 1.7).
Step-by-step explanation:
The difference between A and B's x-coordinate is 15. 7/10 of this is 10.5, which added to -4 gives us an x-coordinate of 6.5.
The difference between A and B's y-coordinate is 11. 7/10 of this is 7.7, which added to -6 gives us a y-coordinate of 1.7.
Therefore, the coordinates are (6.5, 1.7).
( show your work ) The banner that football players run through is 18 feet high and 30 feet long. How much paper is needed to
construct a banner ?
Answers
Answer:
540 square feet worth of paper
Step-by-step explanation:
This is an area problem. Area is length multiplied by width. The provided length is 30 feet and the provided width is 18 feet. When they are multiplied, you get 540 square feet. Note that the height is the width in this context because if you laid the banner down, 18 would be the width. The banner is being held up, so the 18 feet is called the height.