Use the FOIL method to solve.
(3 + 4i)(3 - 4i)
(3 * 3) + (3 * -4i) + (4i * 3) + (4i * -4i)
9 - 12i + 12i - 16i
9 - 16i
Best of Luck!
Write the standard form of the line that passes through (-1,-3) and (2,1).
Answer:
Step-by-step explanation:
[tex]\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\[/tex]
[tex]\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\[/tex]
Convert equation to standard form
[tex]y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5[/tex]
The local reader's club has a set of 64 hardback books and a set of 24 paperbacks. Each set can be divided equally among the club members. What is the
greatest possible number of club members?
A. 6
B.192
C. 12
D. 8
Answer:
D
Step-by-step explanation:
Yw UVU
y=8x²-16x + 10
G(-4)=20
Answer:
2890
Step-by-step explanation:
g(-4) means that we are solving for y when x = 20
y = 8(20)² - 16(20) + 10
y = 8(400) - 320 + 10
y = 3200 - 320 + 10
y = 2880 + 10
y = 2890
Best of Luck!
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? H_0: u =5 H_1: U =/ 5 . I can not make the equal wiht aline through it
Is the hypothesis test left-tailed, right tailed, or two tailed? A Left tailed B Right tailed C Two tailed
What parameter is being used? A population proportion B population mean C standard deviation
Correct clear question is;
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? H_0: μ = 5 H_1: μ ≠ 5
Is the hypothesis test left-tailed, right tailed, or two tailed? A Left tailed B Right tailed C Two tailed
What parameter is being used? A population proportion B population mean C standard deviation
Answer:
A) C - Two tailed hypothesis
B) B - Population mean
Step-by-step explanation:
We are given the hypotheses to be;. Null Hypothesis; H_0: μ = 5
Alternative hypothesis; H_1: μ ≠ 5
From the alternative hypothesis, we can see that the critical area of distribution of the parameter being tested could either be less than 5 or greater than 5 due to the not equal to sign. This means it could either be left tailed or right tailed. Thus, it is a two tailed hypothesis.
From the hypothesis, we see that the symbol μ is being used.
In statistics, μ is generally used as a symbol to denote population mean.
Thus, parameter being used/tested is population mean
Lucas ran 9 miles in 3/4 of an hour. He took a break then returns by traveling that same 9 miles in 2/3 of an hour. How many more miles can lucas run per hour with his new rate
Answer:
He can run more 4.5 miles [total 13.5 miles in one hour]
Step-by-step explanation:
check the attachment for explanation
Please help me ASAP!!!
[tex] \huge \purple {\tt {{ (\frac{49}{64}) }^{ \frac{1}{2} } = \sqrt[2]{ \frac{49}{64} } = \frac{7}{8}}} [/tex]
Answer:[tex] \huge \pink {\tt {\frac{7}{8}}} [/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \sf{ \frac{7}{8}}}}} [/tex]
Step-by-step explanation:
[tex] \star \tt{ \: \: ( \frac{49}{64} ) ^{ \frac{1}{2} } }[/tex]
[tex] \hookrightarrow{ \tt{( \frac{7 \times 7}{8 \times 8} ) ^{ \frac{1}{2} } }}[/tex]
[tex] \hookrightarrow{ \tt{ {( \frac{ {7}^{2} }{ {8}^{2} }) }^{2} }}[/tex]
[tex] \hookrightarrow{ \tt{ { (\frac{7}{8} )}^{2 \times \frac{1}{2} } }}[/tex]
[tex] \hookrightarrow{ \tt{( \frac{7}{8} ) ^{ \cancel{2} \times \frac{1}{ \cancel{2} } } }}[/tex]
[tex] \hookrightarrow{ \tt{( \frac{7}{8} )}}[/tex]
Hope I helped!
Best regards! :D
~TheAnimeGirl
If you were to teach someone how to graph the coordinate (5.-6), what would you say?
If Carlos had saved $9.00 from his allowance to spent at jo jo’s arcade , how many games could he play first 3 games for then aft 75 cents a game
Answer:
15 games
Step-by-step explanation:
9 divided by 0.75 = 12
12 + 3 free games = 15
This is due tonight and I am struggling with a couple of questions. This is one. Please help
Answer:
x = 4.2
Step-by-step explanation:
72 + 10x = 114
10x = 114 - 72
10x = 42
x = 42/10
x = 4.2
Answer:
x = 4.2
Step-by-step explanation:
x is equal to 4.2 because ∠PQR and ∠RQS have a sum of 114° so if you subtract 72 from 114 you get 42. Now if you simply divide 42 by 10 you get 4.2.
What is This Math Problem Equal To? 2×10+80÷2?
it is equal to 60 using pemdas
Hey can some please help it's due today thanks!!!
Darnell thinks that -4 is less than -6 because 4 is smaller than 6, and -4 is closer to 0 than -6 is. Explain why Darnell is incorrect.
Answer:
Darnell is incorrect because negative numbers are different than positive numbers. -4 is greater than -6 because it is closer to 0. Which means that it is closer to the positives. :) The biggest negative number is always going to be less than the smaller negative number. :)
Step-by-step explanation:
Answer:
Darnell is incorrect because she is thinking about positive numbers instead of negative numbers.
Step-by-step:
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
The temperature at 7:00 a.m. was -5°F. By 4:00 p.m., the temperature had risen 9
degrees and by 10:00 p.m. the temperature dropped 11 degrees. What was the
temperature at 10:00 pm?
4°F
- 16°F
O
-7°F
25°F
Answer:
The answer is -7 degrees. :)
Step-by-step explanation:
-5+9-11=7
Answer:
I would say -7 degrees
Step-by-step explanation:
Lila works 40 hours a week and earns $9 an hour . Her baby stays with a sitter during the hours Lila works . Lila pays the sitter $5 an hour . After paying the sitter , how much of her paycheck does Lila have left
Answer: $160
Step-by-step explanation: If she works 40 hours a week, than that is $360 a week, if she pays the sitter $5 a week, then that means she pays the sitter $200 a week. Subtract and you get $160.
Pls help I don't understand :( Will give Brainliest
Answer:
a. [tex]\frac{3}{50}[/tex]
Step-by-step explanation:
The formula for rate of change is:
[tex]rate .of .change = \frac{change. in. y}{change .in. x}[/tex] = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Your points are (1000, 310) and (3500, 460)
So
[tex]x_{1}[/tex] = 1000
[tex]y_{1}[/tex] = 310
[tex]x_{2}[/tex] = 3500
[tex]y_{2}[/tex] = 460
Plug into the formula
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
[tex]\frac{460-310}{3500-1000}[/tex] = [tex]\frac{150}{2500}[/tex] Reduce, each are divisible by 50
150/50 = 3 2500/50 = 50
so:
[tex]\frac{3}{50}[/tex]
Convert 4 meters to inches
Answer:
157.48
Step-by-step explanation:
1 metre = 39.37 inches(Approx.)
=> So, 4 metres= 4 * 39.37 = 157.48
Answer:
158in
Step-by-step explanation:
1m = 39.37
So,
4m = 4*39.37
= 157.48 = 157.5 = 158in
9. What is the angle of rotation for the following figure?
HELP
HELPPP
Answer:
90° im pretty sure is the correct answer
Find distance AB.
A(3, 2) and B(9,7)
Answer:
I hope you understood it.
Simplify 6(1/4+5/2)-2
Answer:
14 1/2 or 29/2
Mickey used these calculations to find how much he would spend on 7 cartons of eggs, if 12 cartons of eggs cost $22.20. Describe his error. 12 cartons(÷22.20) $22.22(÷22.20) Unit price = $0.54 $0.54(7) = $3.78
Answer:
Sample student response: Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.
Step-by-step explanation:
Sample student response: Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.
Answer:
Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.
An apple pie is divided into eight equal slices with each slice being 280 calories. How much calories are in the entire pie
Answer:
2240
Step-by-step explanation:
280*8= 2240
Combine like terms
3x + 2x + 11y - 7y
Help
Answer:
5x + 4y
Step-by-step explanation:
3x + 2x = 5x
11y - 7y = 4y
-(4+H)=3h
Solve for h
The sum of 2 times a number and 4 is equal to 8
Answer:
2x + 4 = 8
Step-by-step explanation:
This is the answer because:
1) 2 times a number is representing 2 multiplied with an unknown number, so we can use a variable (x) to represent the number
2) "and" is representing adding. Therefore, 2x + 4 is what is representing the sentence "The sum of 2 times a number and 4"
3) Finally, "equal to 8" is representing how the expression: 2x + 4 is eual to 8
Therefore, the correct equation is 2x + 4 = 8
Hope this helps!
HELP!! PLZ! EXPLAIN WHY U THINK YOUR ANSWER IS CORRECT AND PLZ DO THE CORRECT ANSWER I WILL ALSO TELL U IF YOUR ANSWER IS WRONG
Answer:
10.29 meters per second and 10.26 meters per second
Step-by-step explanation:
200/ 19.44 = 10.29
100/ 9.75 = 10.26
Answer:
Option no. 1
Step-by-step explanation:
Speed= [tex]\frac{distance}{time}[/tex]For the 200 meter race:
his speed is [tex]\frac{200}{19.44}[/tex] = 10.29 meters per seconds
For the 100 meter race:
his speed is [tex]\frac{100}{9.75}[/tex] = 10.26 meters per seconds
Express the first number as a percentage of the second number. 29 pounds of recyclable trash in a barrel of 53 pounds of trash. The 29 pounds of recyclable trash is what % of the barrel of 53 pounds of trash.
Divide first number by second number:
29 /53 = 0.54716981
Multiply by 100 to get percent:
0.54716981 x 100 = 54.716981%
Round the answer as needed.
10 Two factory workers win the in-house raffle with a prize of £240. Monika and Robert share the prize money in a ratio of
3:5. How much does Monika get?
(a) £120
(b) £200
(c) £60
(d) £90
Answer:
(d) £90
Step-by-step explanation:
Total raffle prize = £240
Ratio of sharing
Monika : Robert
3 : 5
The amount Monika get is calculated as
3/(3 + 5) × £240
= 3/8 × £240
= 3 × 30
= £90
Therefore, the amount Monika gets is £90
what the facters of 18
☽------------❀-------------☾
Hi there!
~
[tex]1, 2, 3, 6, 9, 18[/tex]
The factor pairs of 18 are:
[tex]1 \times 18 = 18\\2 \times 9 = 18\\3 \times 6 = 18[/tex]
❀Hope this helped you!❀
☽------------❀-------------☾
Answer:
1, 2, 3, 6, 9, 18
Step-by-step explanation:
1*18=18
2*9=18
3*6=18
There are no other factors, Hope this helps!!
A popular brand has introduced a new design of jeans. All major stores have stocked the jeans because the brand usually sells very well. But the cost of these jeans is much higher than those of other brands, so people don't buy them. How will the price of the jeans be affected? Give reasons to your answer
If the jeans aren't bought at all, or as much as the other brands, then the store owners would have no choice but to lower prices. It's either that option or they would return the merchandise (if possible) or simply throw away the jeans. Setting the right price is more or less trial and error. There are mathematical ways to make an educated guess, but to be fair, there are a lot of factors in play that make trial and error more effective.
For example, if the jeans start at $100 and no one buys them for a week, then the owner may reduce the cost to $75 and see if the 25% discount is effective or not. If people buy, then the price may stay there. If not, then the price may come down even further. The process is continued indefinitely. On the flip side, if demand skyrockets, then prices would likely go up.
the price of the jeans is likely to be affected by the low demand resulting from the high cost.
Based on the given information, it can be inferred that the price of the jeans is not aligned with the market demand due to its high cost relative to other brands. In this scenario, several outcomes are possible:
1. Decrease in Price: If the jeans are not selling well due to their high cost, the brand might experience a decrease in demand. To stimulate sales, the brand may need to lower the price of the jeans to make them more affordable and competitive. This price adjustment aims to attract customers who were previously deterred by the high cost.
2. No Change in Price: The brand may choose to maintain the current price despite the low demand. This decision can stem from factors such as maintaining the brand image or relying on a niche market that is willing to pay a premium for the product. However, in such a situation, the brand may need to focus on marketing and branding efforts to emphasize the unique qualities or benefits of the jeans to justify their higher price.
3. Increase in Price: It is less likely that the brand would increase the price of the jeans if they are not selling well due to their high cost. Increasing the price further would likely deter even more customers and exacerbate the issue. However, if the brand has a particularly strong brand image or a highly loyal customer base that is willing to pay a premium, a price increase may be feasible in rare cases.
In summary, the price of the jeans is likely to be affected by the low demand resulting from the high cost. The brand may choose to decrease the price to boost sales or maintain the current price while focusing on marketing efforts to highlight the unique value proposition of the jeans. An increase in price is less probable given the low demand.
Learn more about price here
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what is the answer 3x+15=8x
Answer:
x=3
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
Given f(x) = 3x + 4. Find F-1(7)
Please help I’ll give you brainiest answer 100points!!!!!
Answer:
f⁻¹(7) = 1
Step-by-step explanation:
Step 1: Write out function
f(x) = 3x + 4
Step 2: Find f⁻¹(x) (or known as inverse f(x))
y = 3x + 4
x = 3y + 4
-3y + x = 4
-3y = 4 - x
y = -4/3 + x/3
Step 3: Plug in 7 into inverse f(x)
f⁻¹(7) = 7/3 - 4/3
f⁻¹(7) = 3/3
f⁻¹(7) = 1
Answer: Guy above me is right
Step-by-step explanation: