Need help on 7-8, thank you in advance! :)
Answer:
7)
a. y = 1/3x - 2
b. m = 1/3, b = -2
8.
a. y = -1/3x -5
b. m = -1/3, b = -5
Step-by-step explanation:
7.
2x - 6y = 12
-6y = -2x + 12
y = 1/3x - 2
8.
x + 3y = -15
3y = -x - 15
y = -1/3x -5
c.
zero is an integer?
Answer:
yes it is because 0-4 is an integer
Step-by-step explanation:
Answer:
yes, it is also a whole number.
Step-by-step explanation:
Hope this helps and have a good day! :)
Please help me i don't understand. I will give points for explanation too.
Answer:
what is the question and where is it?
Step-by-step explanation:
The drama club spent $8.50 per person on food for a cast party. The total cost of the food was $229.50. How many people were at the cast party?
A. 27 people
B. 221 people
C. 238 people
D. 1,951 people
Answer:
27
Step-by-step explanation:
btw just goo. gle the first 5 words with " at each end and it gives you the answer :)
not guaranteed, some dont have
What is the slope of y = 4x? *
Please Brainliest me!
The slope of y=4x is 0,4 PLEASE BRAIN ME!
Lines j and k are perpendicular. The slope of line j is given. Find the slope of line k. m = 4/5
Answer:
A
Step-by-step explanation:
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{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] → A
Solve for m. -5m=-35 m=
Answer:
m = 0
Step-by-step explanation:
Solve: Add -35m to -5m
-5m = -35m
+35m
30m = 0 *note: its okay to have 0 in this spot*
divide 0/30
m=0 because you can't divide by 0
The value of m is 7 for the given statement -5m = -35.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given an expression
-5m = -35
Divide by -5 on both sides
m = 7
Therefore, For the given expression -5m = -35 the value of m is 7.
Learn more about Mathematical operations here:
https://brainly.com/question/20628271
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Darryl wants to improve the food at his restaurant, Downtown Deli, by purchasing some new items to sell. He wants to save as much money as possible. First, Darryl is pricing brands of gourmet pickles. What is the unit price for each brand of pickle? Brand A: Brand B: Brand C: Brand D:
Answer:
Brand A: $0.40
Brand B: $0.30
Brand C: $0.25
Brand D: $0.20
Answer:
Step-by-step explanation:
1. 0.40
2. 0.30
3. 0.25
4. 0.20
To convert 564 kL to mL, you move the decimal point _____ places to the _____. i need help ASAP please!
Answer:
6 places to the right....
If x varies directly as y. Find x when y = 1 if x= 12 when y= 4
Step-by-step explanation:
x/y=constant
12/4=3
x/1=3
x=3
Here, if x varies directly as y. When y=1, then x=3.
Given that, x varies directly as y.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
If x= 12 when y= 4
Here, x varies directly as y is x∝y
⇒ x=ky
⇒ 12=k(4)
⇒ k=3
So, x=3y
When y=1, we have
x=3(1)
⇒ x=3
Here, if x varies directly as y. When y=1, then x=3.
To learn more about the proportions visit:
https://brainly.com/question/7096655.
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A person can pay $24 for a member to the art museum and then go to the art museum can make for a total cost of 44$ ?
Answer:
tyhjhngbfr
Step-by-step explanation:
gbftrfedvgbhnjyh yeet
Let g be a polynomial function of x where g(x) = 2x^3+ 3x^2-5x-6 . If (x+2) is a factor of g, write an equation for g as the product of linear factors
Answer:
[tex]2x^3+ 3x^2-5x-6 = (x+2)(x+1)(2x+3)[/tex]
Step-by-step explanation:
Given polynomial [tex]g[/tex]:
[tex]g(x) = 2x^3+ 3x^2-5x-6[/tex]
A factor of polynomial is [tex](x+2)[/tex].
To find:
Equation of the polynomial as the product of linear factors.
Solution:
First of all, let us divide the polynomial [tex]g[/tex] with [tex](x+2)[/tex] to find the other factors.
As degree of polynomial is 3, when divided by a linear equation, it will result in a quadratic.
That quadratic will have 2 solutions.
Solving the quadratic in linear will give us the answer.
Result of division:
[tex]\dfrac{2x^3+ 3x^2-5x-6}{x+2} =2x^2-x-3[/tex]
Now, solving the quadratic:
[tex]2x^2-x-3 = 2x^2-3x+2x-3 \\\Rightarrow x(2x-3)+1(2x-3)\\\Rightarrow (x+1)(2x-3)[/tex]
So, the linear equation can be written as:
[tex]2x^3+ 3x^2-5x-6 = (x+2)(x+1)(2x+3)[/tex]
PlS HELP QUICKLY :One of the roots of the equation x2−bx+c=0 is equal to 5. Find c in terms of b.:
Guys pls help and find what C is equal to.
Answer:First suppose that the roots of the equation
x2−bx+c=0(1)
are real and positive. From the quadratic formula, we see that the roots of (1) are of the form
b±b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2.
For the root or roots to be real, we require that b2−4c≥0, that is, b2≥4c. In order for them to be positive, we require that
b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√>0.
This immediately tells us that b>0, but we can go further. We can rearrange this to get
b>b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√,
which (assuming that b>0) is true if and only if
b2>b2−4c,
since both sides of the inequality are positive so we may square. But then
4c>0.
That is, if the roots are real and positive then b>0 and b2≥4c>0.
Now suppose that b>0 and b2≥4c>0.
Then the roots of (1) are real since b2−4c≥0, and b>0 guarantees that the root b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√ is positive.
So it remains to show that b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√>0. We have that
4c>0,
so that
b2>b2−4c,
then square rooting shows that
b>b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√,
so the roots of (1) are real and positive, as required.
Approach 2
the curve y equals x squared minus b x plus c showing two positive roots for y equals zero
This is intended to be a proof without words! We have from the diagram that:
If c, b and b2−4c are all positive, there are two real positive roots for x2−bx+c=0 (if b2=4c, we have two real positive equal roots).
If there are two real positive roots for x2−bx+c=0, then c and b are positive and b2−4c is non-negative.
(Why is the distance between the roots b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√?)
Approach 3
When solving problems about the roots of polynomials, it is often useful to find expressions those roots must satisfy and see if this tells us anything new. If α and β denote the roots of the equation, then
x2−bx+c=(x−α)(x−β)=x2−(α+β)x+αβ
and so α+β=b and αβ=c.
We also know that the roots of a quadratic equation are real if and only if the discriminant is non-negative, that is, if and only if b2−4c≥0.
Using these facts, if α and β are both real and positive, then b=α+β>0, c=αβ>0 and b2≥4c, as above.
Conversely, if b>0 and b2≥4c>0, then we know the discriminant is positive and hence both roots are real. We also have that
αβ>0(2)
and
α+β>0.(3)
As α and β are both real, by (2), we know that α and β are either both positive or both negative. However, if α and β were both negative, then (3) could not possibly hold. Hence α and β are both positive, as required.
We now sketch on a graph the region where b>0, c>0 and b2≥4c:
The curve b squared = 4 c as a quadratic with the c-axis vertical and the b-axis horizontal. The region below it is shaded.
The region of the b-c plane for which b>0, c>0 and b2≥4c
Sketch the region of the b-c plane in which the roots of the equation are real and less than 1 in magnitude.
We know that in order for the roots to be real we need b2≥4c as in the first part. We now need to find the region where
−1<b±b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2<1.(4)
We have b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2≤b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2 so we only need to consider the values for which both
−1<b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2andb+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2<1.
Firstly, we will consider the values for which
b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<2.
Rearranging gives
b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<2−b.
So b<2, as the square root is non-negative, and we can square both sides to get
b2−4c<4−4b+b2,
which we may rearrange to find c>b−1.
We will now consider the values for which
−2<b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√.
Similarly, we can rearrange to get
b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<b+2.
So b>−2, and we can, as before, square to get
b2−4c<b2+4b+4,
and hence c>−b−1.
To sketch the graph, we start by considering the boundary curves b2=4c, c=b−1 and c=−b−1, and the points at which they intersect. We can see that the two lines only intersect when b=0 and c=−1, and the lines intersect the curve when
b2=4b−4andb2=−4b−4
which rearrange to
(b−2)2=0and(b+2)2=0.
This tells us that each line intersects with the curve in only one place and so these lines must be tangent.
Is there a way we could have deduced this directly from (4)?
What do the lines being tangent signify in terms of our equation x2−bx+c=0?
Is this a representation of a well-known property of these equations?
Sketching the graph then yields the following picture:
The graph with the previous curve and the lines 4 c = 4 b minus 4 and 4 c = minus 4 b - 4. Each line touches the curve once and the two lines intersect at (0, minus 1). The region between the three lines/curves is shaded.
The shaded region is where b2≥4c, c>b−1, c>−b−1 and −2<b<2
We might notice that when we derived the inequalities c>b−1 and c>−b−1, a lot of the work we did was very similar.
We might also notice that the graph above is symmetric about the c axis. Why is this?
Does the graph give us any ideas about how we might deduce one inequality from the other?
Step-by-step explanation:
scientific notation for 1.0 ×10^6
Answer:
1000000
Step-by-step explanation:
I'm not sure what you meant by "scientific notation". So uhh, I only solved the 1.0 times 10^6,
10^6=10×10×10×10×10×10
10^6=1000000
(Fun fact. If you ever see a power of 10, you don't actually need to solve it. Look at the power, and add the same amount of 0's. For example 10^2. Power sign is 2. 2 trailing 0's.)
PLEASE!! For 22 points!!
Write the equation of the line that passes through the points (-4,-4) and (6,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y = 3/5x + 3/5.
Step-by-step explanation:
the /'s are division symbols. 3 3
y = _ + _
5 5
(its part b to question 9 ) If there are 15 students who don't wear glasses how many students are there in class?
PLZ HELP WILL GIVE BRANLIST
Answer:
25
Step-by-step explanation:
so lets write our ratios.
Students that wear glasses to the whole class:
2 : 5
Students that wear glasses to those that dont:
2 : 3
And now if there are 15 kids in the class that dont wear glasses, that means that we have to multiply the second ratio by 5 to get the amount of students that don't wear glasses to 15. So now the second ratio will be
10 : 15
10 being amount of kids with glasses, and 15 kids without glasses. Now we just have to add them to get the answer of 25.
Write the index for 2^2 x2^3
Answer:
2^5
Step-by-step explanation:
I have to order it from least to greatest in absolute value, and i dont get it can anyone help?
Answer:
ight A on top since it's the cmallest followed by B,C,D,E
Step-by-step explanation:
-3 x (10i+6)
Your answer should be a complex number in the form a + bi where a and b are real numbers.
The Answer is:
−30xi−18x, I really don't know what you are looking for but this is what i came up with. Hope this is helpful!
Where can i buy ps5
Answer: You can go online and type ps5 and it will get shipped to you. Or you can check Target, Bestbuy, Gamestop and etc.
Step-by-step explanation:
Answer:
gamestop or online!!
Step-by-step explanation:
hope this helps!!
Which property is used in the following expression ? 8(2 + 7) = 16 + 56
Answer:
Distributive property
Step-by-step explanation:
slope intercept
y= 1/2x + 2
Don't know exactly what you're asking, but I think you're asking what the slope and what the y-intercept is.
1/2x is the slope
Positive 2 is the y-intercept
it y because of the equation mx +b and b is y
Fifteen more than the square of a number is eight times the number.
Answer: n = 3 or 5
n^2+15=8n
Or,
n2 - 8n + 15 = 0
(n - 3)(n - 5) = 0
So n is 3 or 5.
5×(-5+6) distributive law
Answer:
5×(+1)=
5×1=5
Step-by-step explanation:
hope it helps
Answer:
Step-by-step explanation:
if you're going for distributive law then 5(-5)+5(6). -25+30. so 5
is 0.25 greater than 3/8
Answer:
no 0.250 is not greater than 3/8
Step-by-step explanation:
because when you make 3/8 into a decimal it becomes 0.375 so no
Answer:
No. 0.25 is not greater than 3/8
Step-by-step explanation:
Convert 3/8 to a decimal.
1/8 = 0.125 in decimal form.
Multiply this by 3.
3/8 = 0.375.
0.375 > 0.250
Your answer will be 0.25 < 3/8
Help me please lol!!!!!!
Answer:
y<4
Step-by-step explanation:
thats your answer :)
Your Turn (Activity 3): Calculate the LCM of 54 and 90
Answer:
270
Step-by-step explanation:
Can you help with this problem
Answer:
The value of w is 3.
Step-by-step explanation:
Parallelograms have equal opposite side measures.
so,
6w = w +15
6w - w = 15
5w = 15
w = 3
Answer:
w=3
Step-by-step explanation:
The opposite arms of parallelogram are equal
So the equation is
6w=w+15
=>6w-w=15
=>5w=15
=>w=15/5
Therefore
w=3
If you find my answer helpful.then please mark me as brainliest
b: 6 Point: (-4, 2)
Solve for y=mx+b
Please help
Answer:
y=-4x+2
Step-by-step explanation:
B is the y-intercept and M is the sope, or x, knowing this now we slove:
(-4, 2)
m b
y=mx+b
y=-4x+2
Have a beautiful day! v(⌒o⌒)v♪
For more help take a look at the picture below.
Factoring Polynomials Completely
The first option
Factoring [tex]6x^2+7x-10[/tex]
gives us:
[tex]\left(6x-5\right)\left(x+2\right)[/tex]
so we know that the first option,
one of the factors is (x+2) is correct.