Answer:
1. (-3) and (-4)
2. (-5) and 6; vise versa
Answer:
Step-by-step explanation:
hello :
1)Two numbers have a product of 12 but their sum is -7 :
means : xy=12 ....(*)
x+y = -7 ....(**)
solve this system : use (**) you have x = -y-7 put this value in (*)
so : (-y-7)y = 12
-y²-7y-12 = 0
y² +7y+12=0 a=1 b=7 and c= 12
the discriminant delta =b²-4ac delta = 7²-4(1)(12) = 1
y1 = (-7-1)/2 = -4 and y2 = (-7+1)/2 =-3
but x= -7-y
if :y = - 4 x= -7-(-4) =-3
if : y=-3 x = -7-(-3) =-4
2) same method : xy=-30
x+y=1
2 Demi teaches drum classes. The equation B = 50t gives the dollar amount she earns as a function of the time in hours she teaches. Demi also takes spin classes. The graph shows how much she has left on a gift card as a function of the time in hours Demi is in class. Does Demi earn more teaching 1 hour of drum class or spend more taking 1 hour of spin class? Show your work.
The answer should be Demi earns more teaching drum class regardless of how many hours she puts in.
What is the Slope intercept form?The equation of a straight line whose slope and y-intercept are given. Suppose a non-vertical line has a gradient or slope of m and y-intercept equal to c. Let (x, y) be any point on the line and a line intersect the y-axis at the point (0, c).
y = mx + c
Using the slope-intercept form (y = mx + b) to find the function of the graph,
B = -100/5t + 500
Or B = -20t + 500.
After 1 hr or t = 1 Demi earns B = 50(1) or $50 teaching
After 1 hr or t = 1 Demi spends B = -20(1)
-$20 on spin class.
If it’s asking just the rate of increase or decrease, the slope of 50t is greater than the slope of -20t.
Thus, The answer should be Demi earns more teaching drum class regardless of how many hours she puts in.
Learn more about slope;
https://brainly.com/question/3605446
y=-1/4x+3
Convert to standard form
I need help understanding how to do this...
Answer:
y=y
Step-by-step explanation:
y=y because y has the same value as y
The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges $2 for the first time they service your lawn, and the price will multiply by a factor of 0. 85 every week thereafter. Green Thumbs charges $350 for the first time they service your lawn, and then charges an additional $30 every week thereafter. At 30 weeks, if the Yert family chooses the company that is cheaper, how much money will they save?
The cost-savings if the Yert Family chooses the cheaper company is: $450.50
How do you determine the cheaper company?First, we determine the cost of the service of each company. Comparing that will give us an idea of the company whose service is cheaper.
Second, we subtract the lower sum from the higher. This gives us the cost savings by the Yert Family.
Step 1
Expressing the payment plan for Green Lawns, we have:
First week= $2
Second week = (2 + (2*0.85) ) = 3.7
Third week= (3.7 + (2*0.85) ) = 5.4
Using the above cumulative method, we arrive at the series of payments due per week
The series of payment are given as follows:
2 + 3.7 + 5.4+7.1+8.8+10.5+12.2+13.9+15.6+17.3+19+20.7+22.4+24.1+25.8+27.5+29.2+30.9+32.6+34.3+36.0+37.7+39.4+41.1+42.8+44.5+46.2+47.9+49.6
= $799.50
Step 2
Expressing the payment plan for Green Thumbs, we have:
350 + (30*30) = $1,250
Step 3
Hence (assuming they go for Green Lawns) the cost savings will be:
$1,250.00 - $799.50 = $450.50
Learn more about Cost-Saving exercises at:
https://brainly.com/question/910760
Question
Find the circumference of the circle. Round your answer to the nearest hundredth.
The circumference is about
inches.
Answer:
Circumference of a cicle in terms of radius:
Circumference = 2·π·r = 2·3.14·3 = 18.85(*)
In terms of diameter:
Circumference = π·d = 3.14·6 = 18.84(*)
In terms of area:
Circumference C = √4·π·A = √4·π·28.27 =18.85
Step-by-step explanation:
radius= 3in.
to find:the circumference of the circle.
solution:formula C=2πr
=2·π·3
≈18.84956in
nearest hundredth= 18.85in
TEST IV. Suppose mZ1 = 651 = 650 and m29 = 132º. Find the measure of the following:
Answer:
1.65°
2.115°
3.132°
4.48°
5.67
MARK A BRAINLESS THIS ANSWER
Find the value of m, expressed as a common fraction so that this relation is not a function.
{(-2m+1,-4),(-6m+8,0)}
Answer:
m = 7/4Step-by-step explanation:
If the two points have same input with different outputs, then this relationship is not a function, according to definition of the function.Make the x-values same and solve for m
- 2m + 1 = - 6m + 86m - 2m = 8 - 14m = 7m = 7/4Let's see
x must be equal on both sides as it's not a function
-2m+1=-6m+84m=8-14m=7m=7/413
3. It's About Time, in Langley, British
Columbia, is Canada's largest custom clock
manufacturer. They have a grandfather
clock that, on the hours, chimes the
number of times that corresponds to the
time of day. For example, at 4:00 p.m., it
chimes 4 times. How many times does the
clock chime in a 24-h period?
9. A training program requires a pilot to fly
Using an arithmetic sequence, it is found that the clock chimes 132 times in a 24-h period.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term.
The sum of the first n terms is given by:
[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]
In this problem, as the day is divided in two 12-hours period, the total will be twice the sum of the 12 elements of the following sequence:
{0, 1, 2, 3, ..., 11}
In which [tex]a_1 = 0, a_11 = 11, n = 12[/tex].
Then:
[tex]T = 2\frac{12(0 + 11)}{2} = 12 \times 11 = 132[/tex]
The clock chimes 132 times in a 24-h period.
More can be learned about arithmetic sequences at https://brainly.com/question/6561461
please help its easy
Answer:
[tex] \frac{3}{4} [/tex]
Step-by-step explanation:
[tex] \frac{12 - 3}{12} [/tex]
[tex] \frac{9}{3} [/tex]
cross out the common factor.
[tex] \frac{3}{4} [/tex]
Answer:
9/12 (or 3/4)
Step-by-step explanation:
If you subtract the number of brownies that Brittany's brother will eat, you will have 9 remaining brownies. So, that means 9 out of the original 12 brownies will be left, or 9/12. Also, you can simplify the fraction. Both 9 and 12 can be divided by 3.
9/12 divided by 3/3 equals 3/4. 3/4 is the fraction in it's simplest form.
So, 9/12 (or 3/4) of the brownies are left.
I hope this helps! Have a lovely day!! :)
If the average rate of travel is 100 miles per day, about how long would it take to
travel down each river in days?
Answer:
Distance, rate and time problems are a standard application of linear equations. When solving these problems, use the relationship rate (speed or velocity) times time equals distance.
Explanation:
For example, suppose a person were to travel 30 km/h for 4 h. To find the total distance, multiply rate times time or (30km/h)(4h) = 120 km.
The problems to be solved here will have a few more steps than described above. So to keep the information in the problem organized, use a table. An example of the basic structure of the table is below:
If f(x) = x3 + 12x2 +41x + 30 and f(-6) = 0, then find all of the zeros of
f(x) algebraically.
Answer:
-6, -5, -1
Step-by-step explanation:
Based on the question, (x+6) is a factor of f(x).
With this, you can do the long division method of dividing f(x) with (x+6) {Refer to the image}.
You'll get x²+6x+5 as a result.
Factorise it and you'll get
x²+6x+5 = (x+1)(x+5)
Then let (x+1)(x+5) = 0, x = -1, -5
Zero's of f(x) are -6, -5 -1
[tex]\text{Given that,}\\\\f(x) = x^3 +12x^2 +41x +30~~ \text{and} ~~ f(-6)=0\\\\\text{Since f(x)=0 when x = -6,}~ ~x-6 ~\text{is a factor of f(x).}\\\\x^3+12x^2+41x+30 = 0\\\\\implies x^3+6x^2+6x^2+36x+5x+30=0\\\\\implies x^2(x+6) +6x (x+6) +5(x+6)=0\\\\\implies (x+6)(x^2+6x+5)=0\\\\\implies (x+6)(x^2+5x+x+5)=0\\\\\implies (x+6)\textbf{[}x(x+5)+(x+5)\textbf{]}=0\\\\\implies (x+6)(x+1)(x+5)=0\\\\\text{Hence the roots are,}~ x = -6,~ x=-1~ \text{and}~ x = -5[/tex]
The center of the circle is located at (-4,-3). What is the area? Use 3.14 as an approximation for pi.
Answer:
78.5 units²
Step-by-step explanation:
First, we need to plot the center point of the circle. (Shown in image). Once we plotted the center point, we need to count how many units is the radius away from the boundary.
Note: I have marked each unit by a "red point". Simply, count the number of "red points" to determine the radius.
⇒ Radius according to graph: 5 unitsWe can substitute the radius in the "area of circle" formula to determine the area. Keep in mind that pie is represented as 3.14.
⇒ Area of circle = πr²⇒ Area of circle = π(5)²Now, let's evaluate the area by simplifying the expression. Keep in mind that pie is represented as 3.14.
⇒ Area of circle = π × (5)²⇒ Area of circle = π × 5 × 5⇒ Area of circle = π × 25⇒ Area of circle ≈ 3.14 × 25 [π = 3.14]⇒ Area of circle ≈ 78.5 units²Val is going to plant b vegetable seeds in one garden and 3b + 10 vegetable seeds in another. How
many seeds is Val going to plant?
Val is going to plant seeds.
Answer:
The question is not showing what we are supposed to find.
b+3b+10
Help please + I need explanation
Answer:
61 degrees
Step-by-step explanation:
The THREE angles in the diagram sum to 180 degrees ( straight line = flat wall)
3x+1 + 58 + 4x-19 = 180
solve for x = 20 then A = 3x+1 = 61 degrees
A rectangular piece of metal is 10 inches wide and 14 inches long.
a. What is the perimeter?
b. What is the area?
!need to finish test by 2:20!
Length= 14inches and breadth= 10inches
1) To Find Perimeter of rectangleWe know, Perimeter of rectangle= 2(Length+Breadth)
[tex]2(14 + 10) \\ = 2 \times 24 \\ = 48 \: \text{inches}[/tex]
2)To Find Area of rectangleWe know, Area of rectangle= Length × Breadth
[tex]14 \times 10 \\ = 140 \: \text{in} ^{2}[/tex]
Hope This HelpsAt a carnival game, you may win an inflatable crayon, you may win a small stuffed animal, or you may win nothing at all. If the probability of winning nothing is 0.72 and the probability of winning a small stuffed animal is 0.19, what is the probability of winning an inflatable crayon? Express your answer as a decimal.
A:0.91
B:0.28
C:0.09
D:0.81
Answer:
C:0.09
Step-by-step explanation:
probability of winning nothing = 0.72 = [tex]\frac{72}{100}[/tex]
probability of winning a small stuffed animal = 0.19 = [tex]\frac{19}{100}[/tex]
probability of winning nothing + probability of winning a stuffed animal
= [tex]\frac{72}{100}[/tex] + [tex]\frac{19}{100}[/tex] = [tex]\frac{91}{100}[/tex]
probability of winning an inflatable crayon = 1 - [tex]\frac{91}{100}[/tex]
= [tex]\frac{100}{100}[/tex] - [tex]\frac{91}{100}[/tex]
= [tex]\frac{9}{100}[/tex]
= 0.09
Which is the coldest temperature? Explain how you determined this using the number
A model robot uses the scale 1 inch : 2 feet. If the model robot was 5 inches tall, the real robot would be __ feet tall
Answer: 10 feet
The ratios:
1 inch : 2 feet
5 inch : x feet
Finding x:
1 * 5 = 5
2 * 5 = 10
The real robot would be 10 feet tall.
Answer:
10 inches
Step-by-step explanation:
because 1 in= 2 ft
we can multiply 5 by 2 which is 10
your answer is 10 ft tall.
Students voted to have a guinea pig or a hamster qs a class pet. Of thise students, 18 voted to have a guinea pig. This number represents 72% of the students who voted. What is the toatal number of students who voted
Answer:
The total number of students that voted is 25.
Step-by-step explanation:
18 students = 72% of the students who voted
Divide the percentage of students by 100.
72% ÷ 100 = 0.72%
Then, divide 18 by 0.72%.
18 ÷ 0.72% = 25
So, the total number of students that voted is 25 students.
Hope this helped !
Find the value of each variable. Write your answer in simplest radical form.
Answer:
Step-by-step explanation:
Guiding Statement
You must find x before you can find y. If an altitude is dropped from the right angle to the hypotenuse, then the value of the altitude = the two parts of hypotenuse multiplied together = the altitude squared.
Formula
Perhaps, instead of all that language, it is easier just to show you this in terms of what you have been given.
Solution
x^2 = 72 Factor 72 into prime factors.
x^2 = 8 * 9
x^2 = 2 * 2 * 2 * 3 * 3 Take the square root of both sides.
√x^2 = √(2 * 2 * 2 * 3 * 3)
Rule
For every pair of equal prime factors, take 1 factor outside the root sign and throw the other one away.
√x^2 = √(2 * 2 * 2 * 3 * 3)
x = √(2 * 2 * 2 * 3 * 3) Apply the rule
x = 2 * 3 √2
x = 6√2
Now with y
a = 6√2
b = 12
c = y Use the Pythagorean Theorum
c^2 = a^2 + b^2
c^2 = (6√2)^2 + 12^2
c^2 = 36*2 + 144
c^2 = 72 + 144
c^2 = 216
c = 6 √6
answer
x = 6√2
y = 6√6
A fruit seller sells 41 watermelons on Thursday and 59 watermelons on Friday. The cost
of each watermelon is ₹99. Find the total amount earned by the fruit seller.
Answer:
₹9900
Explanation:
On thursday sold : 41 watermelonsOn friday sold : 59 watermelonsTotal sold : (41 + 59) = 100 watermelons
Amount earned : 100 * 99 = ₹9900
#Thursday
Melons sold=41Money earned=41(99)
4059$#Friday
Melons sold=59Money earned
59(99)5841Total:-
5841+4059=$9900
 Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Answer:
7
Step-by-step explanation:
As it is a RIGHT triangle, the formula is a^2+b^2=c^2.
We are given one leg and the hypotenuse. That means 4^2x2+b^2=81.
To find 4 root 2 square, you square them individually then multiply.
4^2=16 times 2 (root 2 squared is 2).
Simplified, that gives 16x2=32,
81-32=49.
The last leg is seven.
Please find x ft, pleeaase help
Answer:
x=238 plus 0
Step-by-step explanation:
think
What is the slope of the line that passes through the points(1,6) and (13,2)?
Answer:
[tex]\boxed{\sf{-\dfrac{2}{3} }}[/tex]Step-by-step explanation:
Use a slope formula.
Slope formula:
[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }[/tex]
y2=2
y1=6
x2=13
x1=1
Rewrite the problem.
[tex]\sf{\dfrac{2-6}{13-1}=\dfrac{-8}{12}=\dfrac{-8\div4}{12\div4}=\dfrac{-2}{3}=\boxed{\sf{-\dfrac{2}{3}}}[/tex]
Therefore, the slope is -2/3, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Claire invests £200,000 in a savings account for 4 years. The account pays compound interest rate at 1.6% per annum. Calculate the total amount of interest Claire will get at the end of 4 years
Answer:
£13,110.49
Step-by-step explanation:
(A) = P( 1 + r/n) ^nt
P(Principal) = £200 000
r(interest rate) = 1.6% = 0.016
The total amount been saved after 4 years is calculated as:
A = P( 1 + r/n) ^ nt
A = £200,000( 1 + 0.016/1)¹× ⁴
A = £200,000(1.016)⁴
A = £213,110.48991
A = £ 213,110.49
Claire will get approximately £ 213,110.49 within 4 years.
The movie started at 7:35 PM and lasted 1 hour and 40 minutes. What time did
the movie end?
Answer:
9:15 PM
Step-by-step explanation:
1 hour and 40 minutes after 7:35 is 9:15
help please thankkkkk youuuuuuuu :))))))))))
Answer:
426
Step-by-step explanation:
To determine how to round up or down, we look at the place after the one we want to round to. In this case, we look at the tenths place.
If the tenths place is [tex]\geq 5[/tex] then you round up, and if it is [tex]\leq 4[/tex] you round down.
We see that the number is five and we round up to 426
Can y’all help with this? (It’s exponential and decaying factors). Thanks!!
Answer:
2.37×10^-11 milliliters
Step-by-step explanation:
The exponential model for decay is ...
y = a·b^x
where 'a' is the initial value, 'b' is the decay factor, and x is the number of intervals over which the decay is taking place.
__
Here, you're given an initial value of a=500 mL.
The decay factor is 1 more than the decay rate, so is ...
b = 1 -12% = 0.88
We are asked for the remaining amount after 240 intervals (breaths), so that will be ...
y = 500·0.88^x
y = 500·0.88^240 ≈ 2.37×10^-11 . . . . milliliters
__
Additional comment
That's about 640 million molecules of air--not very much. After 400 breaths, there is about 1 molecule of the original air remaining.
How long to have 1 bitcoin when you put in 1 a day with a growing rate of 3.3% per 3 months. Current price of bitcoin 39,110. Each mont is 30 days.
Answer:
5 years
Step-by-step explanation:
pls help and do quick!
find x
Answer:
x = 90
Step-by-step explanation:
If the line is straight.
Angles on a straight line add up to 180
2x = 180
x = 90
Which of the following best describes the expression 9(x + 7)? (5 points)
a
The sum of 9 plus some number plus 7
b
The product of 9 plus some number plus 7
c
The product of 9 and some number plus 7
d
The sum of 9 multiplied by some number plus 7
plsss help asap
Answer:
I guess D. the sum of 9 multiplied by some number plus 7