Answer:
Step-by-step explanation:
(x - 5)(x + 6) = x *(x + 6) - 5*(x + 6)
=x * x + 6 *x + x*(-5) + 6*(-5)
= x² + 6x - 5x - 30 {Combine like terms}
= x² + x - 30
help help help help Please
Answer:
It rises -4 and runs 6
Step-by-step explanation:
So the slope is -4/6
HELP PLEASEE!!!
In Asha's science experiment, her bacteria are dying at a constant rate of $600$ an hour. If she drew a graph of the number of bacteria in her culture where $x$ represented the time in minutes since the start of the experiment and $y$ represented the number of bacteria remaining in the colony, her graph would be a line. What would be the slope of this line?
Answer:
-10
Step-by-step explanation:
The rate of change is also known as the slope of the function thus the slope will be -600.
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.
As per the given,
Bacteria are dying at a constant rate of $600$ an hour.
The rate of change = -600/hour
Slope = y/x = number of bacteria change/time taken
If the graph is a straight line then it will remain constant.
Slope = -600
Hence "The rate of change is also known as the slope of the function thus the slope will be -600".
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I need help with these questions. Thanks!
Answer:
47.27°44.22°Step-by-step explanation:
Q1)The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(x) = 57/84
The inverse function is used to find the angle.
x = arccos(57/84)
x ≈ 47.27°
__
Q2)The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(x) = 53/76
The inverse function is used to find the angle.
x = arcsin(53/76)
x ≈ 44.22°
Find two numbers whose difference is 16 and whose product is a minimum. (Enter your answers as a comma-separated list.)
Answer:
8, -8
Step-by-step explanation:
Let's say that x is the larger number,
x - y = 16
y = x - 16
xy = P where P is a minimum
x(x-16) = P.
(We can find the vertex, which is the minimum, by writing it in vertex format)
Completing square:
x2 - 16x = P
x2 - 16x + 64 = P + 64
(x - 8)2 = P + 64.
So,
x = 8 and -8
(8 - -8 -> 8 + 8 = 16)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Simplify the following expression.
-3m + (-2x) + 4m + 2x
Answer:
[tex]m[/tex]
Step-by-step explanation:
Combine like terms
[tex]-3m+(-2x)+4m+2x[/tex]
[tex](-3m+4m)+(-2x+2x)[/tex]
[tex](1m)+(0)[/tex]
[tex]m[/tex]
Answer:
m
Step-by-step explanation:
Simplify like-terms first:
-3m + (-2x) + 4m + 2x
m + (-2x) + 2x
Both x's cancel each other out, so you're left with:
m
In a skiing competition. Jen finishes in 13.524 seconds, Ali finishes in 13.51
seconds and Sofia finishes in 13.5 seconds. Who finished first?
Answer:
Sofia at 13.5 seconds
Step-by-step explanation:
These numbers aren't easily compared since they don't have the same number of digits. Sofia's time of 13.5 seconds is less than that of the other two times, 13.524 and 13.51 seconds, but the lack of a zero after the 5 in Sofia's time is concerning. If the other times were measured toi within a hundredth of a second, why not Sofia's time also? Perhps her true time was 13.56 seconds, but the 0.05 was dropped. She would be slower than the other two. But, in the absence of helpful information, the only thing that can be said is that Sofia's time is reported to be less than either Jen and Ali.
Which expression has an equivalent value to x2 + 9x + 8 for all values of x?
(x + 1)(x + 8)
(x + 2)(x + 6)
(x + 4)(x + 4)
(x + 5)(x + 4)
Nadine received the same score on each turn in an online game. Her score on each turn was −24. She had 4 turns.
What was Nadine's final score?
Answer:
Step-by-step explanation:
-24 x 4 = -96
Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?
Answer:
(x-7)(x^2-5)
Step-by-step explanation:
Passes through (2, 3) at a gradient of 2
Answer:
y = 2x-1
Step-by-step explanation:
I'm guessing gradient of 2 means slope of 2
if line passes through (2,3) and has a slope of 2, we can use the slope intercept equation
slope-intercept (y=mx+b)
m is the slope and b is the y-intercept (which we are trying to find)
so far, we have a point and a slope so we can fill in x,y, and m
(3) = (2)(2) + b
3 = 4 + b
3-4 = 4-4 + b (to undo addition, you use subtraction so I minus 4 from each side)
-1 = b
we found b so we just take the (2,3) out of the equation substitute the x,y back into the equation
y = 2x - 1
the difference of 3 times a number and 2 times that same number is 80.what is the number
What is the Slope of the line that passes through points (4, -2) and (3, 1)?
Answer:
-3
Step-by-step explanation:
slope formula is y2-y1 over x2-x1
if we plug in the values and solve, that gets you -3.
Answer:
-3
Explanation:
1-(-2) divided by 3-4
Not sure how to do this. Help is much appreciated. :D
Answer:
m = √n/3 -k
Step-by-step explanation:
√n = 3(k + m)
=> √n/3 = k + m
∴ m = √n/3 -k
Hope this helps!!
1 point
10.) Tampa is about 275 miles from Tallahassee. How far about would they
be on a map with a scale of 1 in. = 15 mi?
20 inches
20.25 inches
O
19.24 inches
18.33 inches
Answer:
18.33
Step-by-step explanation:
its easy divide 275 ÷ 15 = [18.33]333333333333 the only number you need is [18.33]333333333333
and boom that simple you get your answer
Rackel runs 3.2 miles each weekday and 1.5 each day of the weekend how many miles will she rin i 6 weeks
Answer:
114
Step-by-step explanation:
3.2 x 5 cause of the weekdays and 1.5 x 2 cause of the weekends. so then you have 16 and 3. Then you x's it soo 16x6 weeks and 3x6 weeks which equals 96 and 18 then you add thos together.
If you and 2 friends went to dinner and the bill was $57.90 after taxes and you wanted to leave a 25% tip. How much total would you have to pay each? (round to the nearest hundredth)
Answer:14.48
sorry if it is wrong.
Step-by-step explanation:0.25*57.90=14.475
The sides of a triangle are in the ratio 4:4:3.What kind of triangle is it
Answer:
Isosceles triangle. An Isosceles triangle is a triangle that has 2 equal sides and 2 equal angles
Step-by-step explanation:
What is 48,956 rounded to the nearest ten thousand?
Answer:
50,000
Step-by-step explanation:
THE ANSWER IS 50,000
please answer this fast question in the image.
Answer:
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
slope m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y2 - y1}{x2-x1}[/tex]= [tex]\frac{4-(-1)}{2-0} = \frac{5}{2}[/tex]
How many solutions does this equation have? -3s + 10 = 7s
1
Step-by-step explanation:
Tell whether the set of ordered pairs {(1, 2), (4, 10), (7, 17), (10, 22)} satisfies a linear function Explain.
Answer is A
No; there is no constant change in x that corresponds to a constant change in y.
Luoa is not easy , I know that for a fact.
The slope of the line is not constant hence it does no satisfies the condition of a straight line therefore non-linear.
What is an ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
Pair in Order = (x,y)
x is the abscissa, the distance measure of a point from the primary axis x
y is the ordinate, the distance measure of a point from the secondary axis y
Given a set of ordered pairs {(1, 2), (4, 10), (7, 17), (10, 22)}.
The first pair is y = 2x.
The second pair is 4y = 10x ⇒ y = (10/4)x ⇒ y = (5/2)x.
So, we can conclude that the slope of the line is not constant hence it does no satisfies the condition of a straight line therefore non-linear.
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HELP ASAP. Dilation scale=2, center (5,4)
Graph the new points
Answer:
3.5
Step-by-step explanation:
Benny loves eating fruits. Benny paid $4.30 for apples, and $7.02 for peaches with
a $20 bill. How much change did Benny receive?
g(x) = 3x + 1, evaluate g(-2).
Answer:
-5
Step-by-step explanation:
g(x)= 3x+1
g(-2)
g(-2)= 3x+1
g(-2)= 3(-2)+1= -5
Graph y=-6 please please please
Answer:
Step-by-step explanation: Y=6 is 36 if u subtract from 6 and add 20 plus 7
Giving brainliest to correct answer
1/4 + 1/3 + 11/12 6/15 + 3/10 + 3/5
4/5 + 3/15 - 2/3 4 2/5 + 5 2/6
Answer:
#1) 3/2 #2) 13/10 #3) 1/3 #4) 49/15
Step-by-step explanation:
This may not be right because I don't know if you wanted the answers in fractions or not, but I tried. There's too much work to show. Sorry.
Describe the first step you would take in solving 12 = 7 - 3x + 5x. Explain.
Answer:
the first step would be to combine the x's
Step-by-step explanation:
1.) combine x (12=7+2x)
2.) subtract 7 from both sides of the equation (5=2x)
3.) divide by 2 to allow x to be by its self (5/2=x)
please help this is a hard question and i just cant figure it out
Answer:
y=x+6.
Step-by-step explanation:
the slope-interception form is: y=s*x+i, where s - slope, i - interception.
according to the data in the graph i=6, s=1, then finally,
y=x+6.
An item is regularly priced at $35 It is on sale for 40% off the regular price. How much (in dollars) is discounted from the regular price?
Answer:
14 dollars off the original price
Step-by-step explanation:
A certificate of deposit with principal $150 earns 4% annual interest for 2 years. Select all the options that would earn the same amount of interest.
$300 at 2% for 2 years
$150 at 6% for 18 months
$400 at 3% for 1 year
$100 at 1% for 8 years
$50 at 48% for 6 months
Answer:
a,c
Step-by-step explanation:
You would get $12 in the certificate of deposit, and
a. 12
b. 13.5
c. 12
d. 8
e. 24
so, a and c
Hope this helps!
Let me know if it does and if the answer is right
Interest earned in options $400 at 3% for 1 year, $400 at 3% for 1 year
and $50 at 48% for 6 months has the same interest earned by, as $150 earn 4% annual interest for 2 years.
As mentioned in the question, A certificate of deposit with a principal of $150 earns 4% annual interest for 2 years.
What is simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.
here,
1. $300 at 2% for 2 years
Simple Interest = principal × rate × time / 100
Simple interest = 300 × 2 /100 × 2
Simple interest = $12
Similarly, interest earned by other options is given as,
2. $13.5
3. $12
4. $8
5. $12
Thus, Options A, C, and E are correct.
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