Answer:
1.) y = -6
2.) y = 5/3x - 7
3.) y = 5
4.) y = -3x + 1
5.) x = -3
Step-by-step explanation:
So the equation you want to use is this: [tex]\frac{y2-y1}{x2-x1}[/tex]
1.) Plug in
[tex]\frac{-6 - (-6)}{6 - 2} \\\\\frac{0}{4} = 0\\[/tex]
This line is zero slope to find the y-intercept get one of you points and plug them and the slope into this equation y = mx+ b. We will use (2,-6)
-6 = 0(2) + b (b represents y-intercept) (0*2=0)
-6 = b
So the equation is y = -6
2.) Do the same thing.
[tex]\frac{3-8}{6-9} \\\\\frac{-5}{-3} =\frac{5}{3}[/tex]
It's positive because when you divide a negative by a negative you get a positive. Plug in a point (6, 3) y = mx + b (b represents y-intercept)
3 = 5/3(6) + b (5/3*6 = 10)
3 = 10 + b (subtract 10 on both sides)
-7 = b
y = 5/3x - 7
3.) For this one you are just going to point slope form. y - y1 = m(x - x1)
Plug in
y - 5 = 0(x - (-8))
y - 5 = 0 (add 5 to both sides)
y = 5
4.) Do [tex]\frac{y2 - y1}{x2 - x1}[/tex] for this one
Plug in
[tex]\frac{-5 - 7}{2 - (-2)} \\\\\frac{-12}{4} = -3[/tex]
So the slope is -3. Plug into y = mx + b with the point (2, -5)
-5 = -3(2) + b (b represents y-intercept)
-5 = -6 + b (add 6 to both sides)
1 = b
The equation is y = -3x + 1
5.) Do the same thing as #4
[tex]\frac{-8 - (-5)}{6 - 6} \\\\\frac{-3}{0}[/tex]
This slope is undefined
Since you can't divide by 0 the equation would be
x = -3
Hope this helps ya!!
Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?
Answer:
The correct option is a. Amy’s balance would be greater than Hank’s in the end.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?
a. Amy’s balance would be greater than Hank’s in the end.
b. Amy’s balance is $5,142 and Hank’s balance is $3,207.
c. Hank’s balance would be greater than Amy’s in the end.
d. The investment and balance would be the same.
e. None of these are true
The explanation to the answer is now given as follows:
The balance in the end for each can be determined using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:
FV = M * (((1 + r)^n - 1) / r) ................................. (1)
Where;
For Amy:
FV = Future value or balance in the end = ?
M = Monthly investment = $500
r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005
n = number of months the investment will be made = 40 years * 12 months = 480
Substituting the values into equation (1), we have:
FV = $500 * (((1 + 0.005)^480 - 1) / 0.005)
FV = $500 * 1,991.49
FV = $995,745.37
Therefore, Amy’s balance would be $995,745.37 in the end.
For Hank:
FV = Future value or balance in the end = ?
M = Monthly investment = $1,000
r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005
n = number of months the investment will be made = 20 years * 12 months = 240
Substituting the values into equation (1), we have:
FV = $1,000 * (((1 + 0.005)^240 - 1) / 0.005)
FV = $1,000 * 462.04
FV = $462,040.90
Therefore, Hank’s balance would be $462,040.90 in the end.
Conclusion
Since Amy’s balance of $995,745.37 is greater than Hank’s balance $462,040.90, it therefore implies that the correct option is a. Amy’s balance would be greater than Hank’s in the end.
I need help with this.
David Read 156 books Victoria read 98 books more than David how many has Victoria read
Step-by-step explanation:
David read 156 books
Victoria read 98 books more than David
Victoria read 156 + 98 = 254 books
For f(t)=t−2 and g(t)=t−5, find:
a) (f/g)(t)=
Step-by-step explanation:
[tex]f(t) = t - 2 \: \: \: \: \: \: \: \: \: g(t) = t - 5 \\ ( \frac{f}{g} )(t) = \frac{t - 2}{t - 5} [/tex]
.
Determine the value of each of the following expressions
a.
25+310
b.
56−13
c.
45×78
d.
67÷34
Given: Line NM is parallel to line OQ, like NE is congruent to line OQ, Line NR is perpendicular to line MP, line OP is perpendicular to line MP
Prove: NR congruent to OP
Answer:
Step-by-step explanation:
From the picture attached,
In ΔNMR and ΔOQP,
NM║OQ, and MP is the transversal intersecting these lines at M and Q.
∠NMR ≅ ∠OQP [Given]
m∠NRM = m∠OPQ = 90° [Given]
ΔNMR ~ ΔOQP [By AA property of similarity]
Therefore, corresponding sides of the similar triangles will be proportional.
[tex]\frac{NM}{OQ}=\frac{MR}{QP}=\frac{NR}{OP}[/tex]
Since, NM ≅ OQ [Given]
Therefore, NR ≅ OP
ANSWER PLS OR NOTHING WILL HAPPEN
Answer: 8
Step-by-step explanation:
Answer:
[tex]( - 4)( - 2) = \boxed{8}[/tex]
All sides are congruent.
5. Is this figure a polygon?
Answer the questions below only if the figure is a polygon.
la. Is this polygon concave or convex?
1b. Is this polygon regular, equiangular, equilateral, or none of these?
1c. What is the name of this polygon?
Answer:
Yes it is a ploygon
convex
both
octagon
Step-by-step explanation:
Find the sum of all integers between −102 and 104.
The integers from -102 to 102 would all cancel, leaving you with
(-102) + (-101) + ... + 0 + 1 + 2 + ... + 101 + 102 + 103 + 104
= 103 + 104
= 207
Solve the equation 4(2x-1)=11+3x+5
Answer:
x = 4
Step-by-step explanation:
4(2x-1) = 11+3x+5 simply both sides
(4)(2x)+(4)(-1) = 11+3x+5
distribute
8x+(-4) = 11+3x+5
8x−4=(3x)+(11+5) Combine Like Terms
8x−4=3x+16
8x−4=3x+16
Subtract 3x from both sides.
8x−4−3x=3x+16−3x
5x−4=16
Add 4 to both sides.
5x−4+4=16+4
5x=20
Divide both sides by 5.
5x/5 = 20/5
Please i need help
A point on a wheel has a constant angular velocity of 3 rad/s. The angle turned through in 15 seconds is:
45 rad
10π
5 rad
90π rad
evaluate the expression a +7 when a=4, b=2, and c=8
Answer:
a + 7
so "a" is 4 so
4+7=11
Hope this helps!
If a=4 and the equation is a+7 then the equation would be, with the numbers plugged in, 4+7 which equals 11.
Answer: 11
Find the slope of x=(5,6), y=(0,2)
Answer:
4/5
Step-by-step explanation:
the equation of slope is y1-y2/ x1-x2
you get 4/5
Can anyone help it would mean alot im struggling right now
Answer:
what do you need? ^-^ I can help you
There are 35 tickets in a bag and the ratio of winning tickets to losing tickets is 1 to 4. How many of each kind of ticket are in the bag
Answer: Number of winning tickets =7 and Number of losing tickets = 28 .
Step-by-step explanation:
Given: Total tickets = 35
The ratio of winning tickets to losing tickets = 1:4
Number of winning tickets = [tex]\dfrac{1}{1+4}\times35[/tex]
[tex]=\dfrac{1}{5}\times35\\\\=7[/tex]
Number of losing tickets = [tex]\dfrac{4}{5}\times35[/tex]
[tex]=4\times7=28[/tex]
Hence, Number of winning tickets =7 and Number of losing tickets = 28 .
Answer:
7 wining tickets and 28 losing tickets
Step-by-step explanation:
Suppose that R(x) is a polynomial of degree 7 whose coefficients are real numbers.
Also, suppose that R(x) has the following zeros.
-5-3i, 2i
Answer the following.
(a) Find another zero of R(x).
i
Х
(b) What is the maximum number of real zeros that R (x) can have?
(c) What is the maximum number of nonreal zeros that R(x) can have?
Help, these questions make no sense!
R(x) is a polynomial of degree 7, so it has up to 7 distinct complex roots r₁, ..., r₇, and we can write it in terms of these roots as
R(x) = (x - r₁) (x - r₂) ... (x - r₇)
The coefficients of R(x) are all real, so the roots must all be complex numbers, and any of these roots with non-zero imaginary parts must occur along with their complex conjugates. This means if a + b i is a root, then is a - b i is also a root.
(a) We're told that -5 - 3i and 2i are roots to R(x), so we also know that -5 + 3i and -2i are roots.
There are 4 roots accounted for, leaving us with 3 unknown roots. These roots cannot all be non-real, because we can only count 2 of them as a conjugate pair. So we can have either
(b) at most 3 real roots, or
(c) at most 2 non-real roots and 1 real root.
<br />[tex] \sqrt{2x - 5 } = 0[/tex]<br />What is x?
Answer:
[tex]x=\frac{5}{2}[/tex]
Step-by-step explanation:
In order to solve for "x" we proceed to raise both sides of the equal sign to the power 2 in order to eliminate the root:
[tex]\sqrt{2x-5} = 0\\(\sqrt{2x-5})^2 = 0^2\\2x - 5=0\\2x = 5\\x=\frac{5}{2}[/tex]
what is the degree measure of f?
Calculator
2.25
What is the value of x?
D
3
Enter your answer in the box.
с
4
B
X =
7th grade math help me pleaseeeee
Answer:
Monique is correct.
Step-by-step explanation:
You take the absolute value of both numbers (which means the positive version of it) and add that together.
7+17=24
A political candidate has asked you to conduct a poll to determine what percentage of people support her.
If the candidate only wants a 5% margin of error at a 99% confidence level, what size of sample is needed?
Give your answer in whole people.
ME=8%=0.08
CL=90%=1.645
n=?
Answer:
666
Step-by-step explanation:
From this question,
a = 1-99%
a = 1-0.99
a = 0.01
5% = z(0.05) = 2.58 when we check the standard normal table
Therefore we calculate n as:
n = (z/E)²*p*1-p
Z = 2.58
E = 0.05
P = 0.5
1-p = 0.5
(2.58/0.05)²x0.5x0.5
= 51.6²x0.5x0.5
= 665.64
Therefore n is approximately 666.
Describe the graph of the line y =-5
Answer:
a horizontal line pass the y axis of -5
PLS ANSWER ASAP!!!!!!!!!! I WILL GIVE BRAINLIEST FOR THE FIRST PERSON TO GET IT RIGHT
A small box (s ) contains 8 donuts and a large box (l ) contains 12 donuts. Sam bought 10 boxes of donuts containing a combined total of 108 donuts. Identify each equation that correctly describes the donut purchase. SO, THERE IS MORE THAN ONE ANSWER!!!!!
s + l = 12
s + l = 10
10s + 8l = 12
12s + 8l = 108
8s + 12l = 108
s + l = 108
Find the value of n.
9 x -1 x n = 9 x -3
Answer:
n=3
Step-by-step explanation:
9 x -1 x n = 9 x -3
-9n=-27
9n=27
n=27/9
n=3
So value of n is 3
perimeter of 4cm what is
Answer:
4 cm is the best answer for this one
PLEASE HELP IF CORRECT I WILL MARK BRAINLIST!!!! PLZZZ
Answer:
3/4 !
Step-by-step explanation:
If you use RISE/RUN, by counting up, then to the right, you end up with 3/4 (positive slope)! If you need further of an explanation, you can ask!
Not quite sure about the answer but it seems simple. Please answer!
Answer:
Its A
Step-by-step explanation:
PLEASSSEEE HELPPP ASAPPPPP
Answer:
first one is 32
the second one is 53
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let RS = x , then PS = x²
2x² + 2x = 84
x² + x - 42 = 0
(x + 7)(x - 6) = 0
x = 6
PQ and RS are 6
QR and SP are 36
If the ordered pair (a, b) satisfies the inequality. y > x-4, three of these statements are
true. Which statement is NOT true?
Solve 4(x-3) - 2(x - 1) >0.
{ xl x>-5)
{xl x>5]
{xl x<-5)
{xl x<5}
Answer:
{xl x > 5)
Hope This Helps!
