Answer:
y = 5x - 7
Step-by-step explanation:
(3 , 8) ; slope(m) = 5
Equation of the line: y - y₁ = m( x- x₁)
y - 8 = 5(x - 3)
y -8 = 5x - 5*3
y-8 = 5x - 15
y = 5x - 15 +8
y = 5x - 7
Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–1 + i) + (21 + 5i)? (–1 + i) + (21 + 5i) + 0 –1 + (i + 21) + 5i (–1 + 21) + (i + 5i) –(1 – i) + (21 + 5i)
Answer:
i think the answer is C, (-1 + 21) (i + 5i)
Step-by-step explanation:
i just took the test and got a 92% but it didnt tell me which ones were wrong. thats my best guess though. i hope it helps!
The expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that the expression is, (–1 + i) + (21 + 5i)
We have to find the expression that demonstrates the use of the commutative property of addition
According to the commutative property of addition, altering the order of addends has no impact on the sum.
Commutative law refers to either of two rules pertaining to the addition and multiplication of numbers that are expressed symbolically as a + b = b + a and ab = ba. These principles imply that rearranging the terms or factors of any finite sum or product has no effect on it.
Thus, the expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.
Learn more about the expression here:
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Question???
-9 - (-4) =
Answer:
-5
Step-by-step explanation:
Answer:
-5
Please mark as brainliest if this helped you the most, thanks if you do and have a good day/night!
I GIVEEE BRAILILSTTTTTTTT
Answer:
umumumuykik.iu.fg
Step-by-step explanation:
lui;iou;uyfluylfuy;lui;uy;
(15 POINTS) Select the correct answer.
Which equation has infinitely many solutions?
A. -5(x + 2) = -4x - 12 - X + 2
B. 3x – 4 + 2x = 5(x-4)
C. 5(x + 7) = -5(X - 7)
D. 6x + 2 - x = -2x - 2 + 7 x
A local pizza shop has a membership program for frequent buyers. The membership
costs $15 per month and members get a discounted price of $2 per slice of pizza.
Mayerlin purchased a membership to this pizza shop. How much would Mayerlin
have to pay the pizza shop if she bought 11 slices of pizza this month? What would be
the monthly cost for x slices of pizza?
Answer:
cost of slices=2x
cost=monthly fee+cost of slices
15x+2x
Step-by-step explanation:
102 - Harder brackets
Find an expression without brackets
for the area of each rectangle.
(x + 3)
area =
12)
No
calc
р
(-9)
Total
area =
121
Answer:
For figure 1:
Area of rectangle = 7x + 21
For figure 2:
Area of rectangle = [tex]\mathbf{p^2-9p }[/tex]
Step-by-step explanation:
We need to find area of rectangle
The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]
For figure 1:
Length = 7
Width = x+3
Putting values in formula and finding area of rectangle
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times (x+3)\\Now,\: multiply\:7\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=7(x)+7(3)\\Area\:of\:rectangle=7x+21\\[/tex]
So, area of rectangle = 7x + 21
For figure 2:
Length = p
Width = p-9
Putting values in formula and finding area of rectangle
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=p\times (p-9)\\Now,\: multiply\:p\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=p(p)-p(9)\\Area\:of\:rectangle=p^2-9p\\[/tex]
So, area of rectangle = [tex]\mathbf{p^2-9p }[/tex]
Which expression is equivalent to? help
ben made 14 field goal he made about 74% how many did he try
is the 24 and 32 are coprime number?
Answer:
32 and 24 are not coprime numbers.
Position vectors u and v have terminal points of (-6, 3) and (4, -2), respectively. Find the resulting terminal point of 2v - u.
(14, -7)
(2, 1)
(14, 1)
(2, -7)
Answer:
(14 , -7)
Step-by-step explanation:
terminal points: A (-6,3) B (4,-2)
u = x₁ + i y₁ u = -6 + i3
v =x₂ + iy₂ = 4 - i2 2v = 8 - i4
2v - u = (8 - i4) - (-6 + i3) = 14 -i7
Resulting terminal point: (14 , -7)
Position vectors u and v have terminal points of (-6, 3) and (4, -2), respectively. Find the resulting terminal point of 2v - u.
(14, -7)(2, 1)
(14, 1)
(2, -7)
What do you get when you cross an electric eel and a sponge puzzle time riddle
Answer:
A shock absorber?
Step-by-step explanation:
What value is true of x makes this equation true 0.7x-5=0.2x+1
Answer:
x=12
Step-by-step explanation:
First you make sure x is on both sides of the equation. So you do 0.7x-5-0.2x=0.2x+1-0.2x. Which just simplifies to 0.5x-5=1. You make sure x is the only thing on that side of the equation so you do 0.5x-5+5=1+5 which simplifies to 0.5x=6. Multiply the equation times 2 to just have x. x=12. The value that makes true of x is 12.
©
x is two-third of y
Answer:
x is two-third of y[tex] \huge \boxed{x = \frac{2}{3} y}[/tex]
Find the equation for the circle with center (3,−5) and diameter of length 8.
Answer:
(x-3)² + (y+5)² = 16
Step-by-step explanation:
Radius will be half of diameter means that radius = r = 8/2 = 4.
With Center (h,k) the equation of circle is
(x-h)² + (y-k)² = r²
so by putting values answer will be
(x-3)² + (y+5)² = 4²
(x-3)² + (y+5)² = 16
i need help pls help me
Answer:
yes
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
you have to multiply 2/3 by 27 km
Solve each inequality using addition and subtraction. Then graph each solution
set on a number line.
-7x + 5 + 8x >3,
Answer:
wish i could herlp sorry have a great day
Step-by-step explanation:
Answer:
x > -2
Step-by-step explanation:
Consider the function given by the graph. What are
these values?
f-2)=
fo) =
f4) =
The function f(x) for the input values are f(-2) = 2, f(0) = 3 and f(4) = -1
How to evaluate the piecewise function f(x) for the input valuesFrom the question, we have the following parameters that can be used in our computation:
The graph of a function and a set of input values
The input values are given as
–2, 0, and 4
Next, we read the above input values from the graph
Using the above as a guide, we have the following:
f(-2) = 2
f(0) = 3
f(4) = -1
Hence, the values are f(-2) = 2, f(0) = 3 and f(4) = -1
Read more about functions at
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market price of a dress is 1500 rupees shop owner give a discount of 20% find the discount and the bill amount paid
Step-by-step explanation:
Marked price (mp) =rs 1500
discount (d) = 20%
discount amount = d% of mp
=20/100 *1500
= Rs. 300
bill amount paid = mp -d
= 1500 - 300
= Rs. 1200
Solve for (-8/5) x - 6 = -54
Answer:
x=30
Step-by-step explanation:
-8/5 - 6 = -54
-8x/5 - 6 = -54
-8x/5 − 6 +6 = -54 plus 6
Then Add the numbers and simplify
so then the answer would be x=30
Answer: x=30
Step-by-step explanation:
[Calculus] analyze speed from position. Show steps, please!
Answer:
B
Step-by-step explanation:
We are given that the position of a particle is modeled by the function:
[tex]s(t)=2t^3-24t^2+90t+7[/tex]
And we want to find the times for which the speed of our particle is increasing.
In other words, we want to find the times for which our acceleration is positive (a(t)>0).
So first, we will find our acceleration function. We can differentiate twice.
By taking the derivative of both sides with respect to t, we acquire:
[tex]\displaystyle s^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-24t^2+90t+7\big][/tex]
Differentiate:
[tex]v(t)=6t^2-48t+90[/tex]
This is our velocity function. We can differentiate once more to acquire the acceleration function. Therefore:
[tex]\displaystyle v^\prime(t)=a(t)=\frac{d}{dt}\big[6t^2-48t+90\big][/tex]
Differentiate:
[tex]a(t)=12t-48[/tex]
If our speed is increasing, our acceleration must be positive. So:
[tex]a(t)>0[/tex]
By substitution:
[tex]12t-48>0[/tex]
Now, we can solve for t:
[tex]12t>48\Rightarrow t>4[/tex]
Therefore, the only interval for which the speed of the particle is increasing (i.e. the acceleration is positive) is for all times t>4.
So, our answer is B.
please helppppp. i don’t get it and the teacher doesn’t explain it.
Answer:
1. 22
2. 12
3. Sorry, I'm unable to solve for 3.
4. 5
Step-by-step explanation:
AB is congruent to AD so let's solve the equation:
[tex] \: \: \: \: \: \: \: \: \: \: \: 8x - 2 = 6x + 4 \\ \frac{ - 6x \: \: \: \: \: \: \: \: \: \: \: = - 6x}{2x - 2 = 4} \\ \frac{ \: \: \: \: \: \: \: \: \: \: + 2 = + 2}{ \frac{2x}{2} = \frac{6}{2} } \\ x = 3[/tex]
☆Now we plug in for AD.
[tex]AD \\ 6x + 4 \\ 6(3) + 4 \\ 18 + 4 \\ 22[/tex]
---------------
m<CED is on a right angle, that angle equal 90 degrees.
[tex]7x + 6 = 90 \\ \frac{ \: \: \: \: \: \: - 6 = - 6}{ \frac{7x}{7} = \frac{84}{7} } \\ x = 12[/tex]
-----------
#4. You can do the Pythagorean theorem
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {4}^{2} + {3}^{2} = {c}^{2} \\ {16} + 9 = {c}^{2} \\ \sqrt{25} = {c}^{2} \\ 5 = c[/tex]
------------
What is the following product?
Answer:
10.25 which is equal to letter c
Step-by-step explanation:
I used a calculator and figured out which equals it
Find z if the standard normal curve area between – z and z is 0.4530.
Answer:
Step-by-step explanation:
Hi,
1) Find z if the standard normal curve area between -z and z is 0.4530.
Y1 = normalcdf(-x,x,0,1) - .4530 and x = .60226
a. ± 0.118
b. ± 0.398
c. ± 0.602 <==ANSWER
d. ± 0.752
2) If a random variable has the normal distribution with μ = 104.3 and σ = 5.7, find the probability that the value will be greater than 112.3
normalcdf(112.3, 500, 104.3, 5.7) = .08023
a. 0.08 <==ANSWER
b. 0.09
c. 0.10
d. 0.11
3) Determine a 90% confidence interval for μ if σ = 5, \bar{x} = 70, and n = 82. Answer interval rounded to two decimal places.
70 ± 1.645 (5/√82) or 69.09 to 70.91 <==ANSWER
I hope that helps!! :-)
A researcher is interested in consumer preferences among three brands of yogurt. A sample of 90 people is obtained,
and each individual is asked to taste each brand and then select his/her favorite. The resulting frequency data are as
follows:
Brand A
Brand B Brand C
37
21
32
Do the data indicate any significant preferences among the three brands? Test at the .05 level of significance.
State the null hypothesis (1 point), the expected frequency for each category (3 points), the value of chi-
square (4 points), the df (1 points), the critical value of chi-square (2 points), and the decision regarding
significance (1 points).
Answer:
Step-by-step explanation:
From the given information:
The null hypothesis: all three brands are equally likely to their expected value
The alternative hypothesis: preferences exist among the three brands i.e. at least one is different from the expected value.
The expected frequency = [tex]f_e[/tex]
The observed frequency = [tex]f_o[/tex]
[tex]f_e[/tex] [tex]f_o[/tex] [tex](f_o- f_e)^2[/tex] [tex]\dfrac{(f_o - f_e)^2}{f_e}[/tex]
37 30 49.00 1.633
21 30 81.00 2.700
32 30 4.00 0.133
[tex]X^2 = \sum\dfrac{(f_o-f_e)^2}{f_e} = 4.47[/tex]
Degree of freedom = [tex](n-1)[/tex]
= 3 -1
= 2
At ∝ = 0.05 and df = 2
The critical value [tex]X^2_{0.05, 2}= 5.99[/tex]
Decision rule:
Since the calculated chi-square is less than the critical value, we do not reject the null hypothesis.
Thus, the null is retained with a calculated chi-square value of 4.47 and a critical chi-square value of 5.99.
please god help me solve this, i cant fail this assignment lol. i have learning disabilities- mostly with mathematics so please explain this in the most simple way possible like ur speaking to a 2 year old
Answer:
B) 5.7
Step-by-step explanation:
The area of a square is found by multiplying its sides. Since a square has perfectly equal side lengths, you know that the square root of the area is equal to the side lengths. The area is 33. The square root of 33 is roughly 5.7. Hope that helps!
The following data is from a simple random sample of 12 students GPAs. 3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77 Develop a point estimate of the population mean.
Answer: 3. 2
Step-by-step explanation:
Given the data:
3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77
Point estimate of population mean :
Σx / N
(3.12 + 2.45 + 4.0 + 3.76+ 3.54 + 2.78 + 3.39 + 3.21 + 1.98 + 3.43 + 3.98 + 2.77)
= 38.41 / 12
= 3.2008
A water park sold 8 child tickets and 72 adult tickets. What percentage of the tickets sold were child tickets?
Answer:
8%
Step-by-step explanation:
Hudson wants to ride his bicycle 51 miles this week. He has already ridden 12 miles. If he rides for 6 more days, what is the average number of miles he would have to ride each day to meet his goal?
Find the missing value in the percent statement using a proportion.
______ is 75% of 4.
Answer: 3
Step-by-step explanation: Hope I helped
Photo attached please help
Answer:
A
Step-by-step explanation:
Multiply:
[tex](\frac{5}{5+\sqrt{10x} } )(\frac{5+\sqrt{10x} }{5+\sqrt{10x} } )[/tex]
Simplify:
[tex]\frac{5(5-\sqrt{10x}) }{(5+\sqrt{10x})(5-\sqrt{10x} ) }[/tex]
Factor:
[tex]\frac{5(5-\sqrt{10x}) }{25-10x}[/tex]
Reduce:
[tex]\frac{5(5-\sqrt{10x}) }{5(5-2x)}[/tex]
Solution:
[tex]\frac{5-\sqrt{10x} }{5-2x}[/tex]
