Answer:
-2 <= x <= 1/3
Step-by-step explanation:
it is the same as for equations.
the solution for a square equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
our parameters here are
a = 3
b = 5
c = -2
so,
x = (-5 ± sqrt(25 - -24))/6 = (-5 ± sqrt(49))/6 = (-5 ± 7)/6
x1 = (-5 + 7)/6 = 2/6 = 1/3
x2 = (-5 - 7)/6 = -12/6 = -2
since we are looking for smaller or equal, points of 0 will be part of the solution.
now we need to check each side of these points on the x-axis, if they are true or not to the inequality.
left of -2 : let's pick -3
3×(-3)² + 5×-3 -2 = 3×9 - 15 - 2 = 27 - 15 -2 = 10
this is NOT <= 0, so this interval does not fit.
similar, right of 1/3 : let's pick 1
3×1² + 5×1 - 2 = 3 + 5 - 2 = 6
this is NOT <= 0, so this interval does not fit either (as expected, as normally either both sides fit, or both fail).
lastly, in the middle between -2 and 1/3 : let's pick 0
3×0² + 5×0 - 2 = -2
this IS <= 0, so the interval between -2 and 1/3 fits.
Consider the following linear system.
-2x+5y=23
-10x+ky=115
The value of k that will produce a system with an infinite number of solutions is:
a. -25
b. 25
c. -5
d. 5
Answer:
b. 25
Step-by-step explanation:
To have an infinite number of solutions, both equations must be equal.
-2x + 5y = 23
-10x + ky = 115
Multiply both sides of the first equation by 5 and write it. Rewrite the second equation below the first equation.
-10x + 25y = 115
-10x + ky = 115
For the equations to be equal, you must have
25y = ky
Divide both sides by y.
k = 25
Answer: b. 25
What is Three-Quarters of Three-Quarters?
Solve the proportion below.
Answer:
Does the answer help you?
If sin 115° ≈ 0.91 and cos 115° = -0.42, then sin -115° =
Answer:
sin -115° = -0.91
Step-by-step explanation:
Point A is (cos 115°, sin 115°). Since cos 115° = -0.42 and sin 115° ≈ 0.91, it means that the coordinates at point A is (-0.42, 0.91).
As for point B which was revolved around -115°,
the coordinates will be similar to point A but you just have to change the negative.
B(cos -115°, sin -115°) = B(0.42, -0.91)
Answer:
PLATO ANSWER
-0.91; -0.42
Step-by-step explanation:
The sine function is an odd function, meaning that sin -x = -sin x. Because sin 115° ≈ 0.91, sin -115° ≈ -0.91.
The cosine function is an even function, meaning that cos -x = cos x. Because cos 115° = -0.42, cos -115° = -0.42.
Graph the following lines
Will Mark Brainlest !!!=
Answer:
Hello,
Answer m=-1, n=-6,l=2
Step-by-step explanation:
[tex]A*U=B\\\begin{bmatrix}3&-1&0\\0&1&3\\0&0&2\end{bmatrix}*\begin{bmatrix}m\\n\\l\end{bmatrix}=\begin{bmatrix}3\\0\\4 \end{bmatrix}\\\\\\A^{-1}=\begin{bmatrix}\dfrac{1}{3}&\dfrac{1}{3}&\dfrac{-1}{2}\\\\0&1&\dfrac{-3}{2} \\\\0&0&\frac{1}{2}\end{bmatrix}\\\\\\A^{-1}*A*U=A^{-1}*B\\[/tex]
[tex]U=\begin{bmatrix}\dfrac{1}{3}&\dfrac{1}{3}&\dfrac{-1}{2}\\\\0&1&\dfrac{-3}{2}\\\\0&0&\dfrac{1}{2}\end{bmatrix}*\begin{bmatrix}3\\0\\4\\\end{bmatrix}=\begin{bmatrix}-1\\-6\\2\end{bmatrix}\\\\[/tex]
If, triangle ABC, the measure of angle B is greater than 90 degrees, and AB=BC, what is a possible measure for angle C in degrees?
A. 35
B. 45
C. 60
D. Can not be determined
Answer:
A
Step-by-step explanation:
Let us start with B = 90
That would mean that each of the other 2 angles must add to 90 which makes each of them 45.
But the question doesn't allow that. B has to be greater than 90 which means that the other two angles must be less that 45 each.
the only answer that does that is A
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
D and C
Step-by-step explanation:
1) You can cross check using desmos.
2) cos(120) is - 0.5
My brain has stopped working, can you answer this?
Answer:
$40.00, $30.00, B
Step-by-step explanation:
We can first write an expression for the cost of each plan.
Given x amount of texts and y amount of minutes, plan A costs 15 cents per text sent (so given x amount of texts, plan A costs 15 * x for texts) and 10 cents per minute (so given y amount of minutes, plan A costs 10 * y for minutes). Adding these up, plan A costs 15 * x + 10 * y. Plugging Jaden's 200 texts in for x and 100 minutes in for y, we have
15 * x + 10 * y = 15 * 200 + 10 * 100 = 4000 cents. 100 cents = 1 dollar, and the conversion rate for cents to dollars is divide by 100, so we divide 4000 cents by 100 to get $40.00 as the cost for plan A
For plan B, the flat rate is 15 dollars. To convert from dollars to cents, we multiply by 100, so 15 * 100 = 1500 cents for the flat fee.
Texts cost 5 cents per text, so 5 * x is the cost for texts in cents for plan B. Similarly, 5 * y is the cost for minutes in cents for plan B. Adding these up, we get
1500 + 5 * x + 5 * y
combine like terms
1500 + 5 * (x+y)
plug 200 in for x and 100 in for y
1500 + 5 * (200+100)
1500 + 5 * (300)
1500 + 1500
3000
divide by 100 to convert to dollars
$30.00 is the cost for plan B
$30 < $40, so plan B will be cheaper for Jaden
HELP ASAP! correct answer gets brainly and 50 points!!!
Solve the equation for π.
A=12πr2
Answer:
π is equal to 3.14
A=πr^2 is the equation to get the area of a circle where r is the radius.
Answer:
π=A/12r2
Step-by-step explanation:
A=12πr2
divide both sides by 12r2
A/12r2=12r2/12r2
π=A/12r2
A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of thousand miles and a standard deviation of thousand miles. Complete parts (a) through (d) below.
Complete question is;
A trucking company determined that the distance traveled per truck per year in its entire fleet was normally distributed with a mean of 55 thousand miles and a standard deviation of 11 thousand miles.
a)A truck in the fleet traveled 42 thousand miles in the last vear. Calculate the z-score for this truck.
b) Interpret the z-score
c) The trucking company has a policy that any truck with mileage more than 2.5 standard deviations above the mean should be removed from the road and inspected. What is the probability that a randomly selected truck from the fleet will have to be inspected?
d) A randomly selected truck in the fleet traveled 85 thousand miles in the last year. Should this truck be removed from the road and inspected? Explain why or why not.
Answer:
A) z = - 1.18
B) Interpretation of the z-score in A above shows that the distance traveled per truck per year in its entire fleet is 1.18 standard deviations lesser than the distance traveled per truck on average
C) P(z > 2.5) = 0.0062
D) it's value of z is greater than 2.5 minimum and so the truck will be removed from the road and inspected
Step-by-step explanation:
A) We are given;
Population mean; μ = 55000
Sample mean; x¯ = 42000
Standard deviation; σ = 11000
Z-score formula is;
z = (x¯ - μ)/σ
z = (42000 - 55000)/11000
z = - 1.18
B) Interpretation of the z-score in A above shows that the distance traveled per truck per year in its entire fleet is 1.18 standard deviations lesser than the distance traveled per truck on average.
C) since it has a policy that any truck with mileage more than 2.5 standard deviations above the mean should be removed from the road and inspected, then it means that probability that it will be inspected is;
P(z > 2.5) = 1 - P(z < 2.5)
From p-values from z-score table, we have;
P(z > 2.5) = 1 - 0.9938
P(z > 2.5) = 0.0062
D) A randomly selected truck in the fleet traveled 85 thousand miles in the last year. Thus; x¯ = 85000.
Thus;
z = (85000 - 55000)/11000
z = 2.73
This value of z is greater than 2.5 minimum and so the truck will be removed from the road and inspected
Which of the following is an integer?
95.2
73
54
41
-26
Answer:
95.2 is not an integer
and other are integers
How would you write 845 as a multiplication expressions
A.
8x5
B.
8x8x8x8x8
O c. 5x5x5x5x5x5x5x5
Answer:
13x13x5
Step-by-step explanation:
We can write 845 as
845 = 13 x 13 x 5
because
845 = (13x13) x5 = 169 x5 = 845
so the expression is
13 x 13 x 5
Please help!!!!!!
Find the radical equivalent 8-2/3 and compute It.
Answer:
2.71
Step-by-step explanation:
Given 8 - 2/3 = 8(3/3) - 2/3 = 24/3 - 2/3 = 22/3 = 7.333 then the radical is
7.333**(1/2) = 2.71
HELLO HELP ASAP ATTACHING PIC BELOW ITS KHAN
Answer:
a
Step-by-step explanation:
the graphic is step by step
Answer:
A
Step-by-step explanation:
Since the first number to the problem is -4, you start at -4 on the number line. The next number is +7.5 so you would move 7.5 spaces to the right on your number line. Finally, where you land would be your answer.
Hope this helps! Please mark Brainliest :)
twelve cubes are stacked to make this figure
Answer:
rectangular prism
Step-by-step explanation:
Answer:
rectangular prism
Step-by-step explanation:
1. Mrs. Jones picks 3 flowers a day starting on Monday. How many does she have by Sunday?
2. 603 cats have 4 kittens each. How many kittens are there in total?
Answer:
1. 18
2. 2412
Step-by-step explanation:
1. Monday 3
Tuesday 6
Wensday 9
Thursday 12
Friday 15
Sunday 18
_____________________________________________________
2.
603*4=2412
In the figure, ABC and DEF are similar. What's the scale factor from ABC to DEF?
(pls show how you got the answer)
Answer:
3
Step-by-step explanation:
The scale factor of ABC to DEF is the number you need to multiply a corresponding side of ABC to get one of DBC. We are given the two triangles are similar, so we can say that sides AB and DE are proportional. We are looking for the number we need to multiply AB by to get DE. From this relation, we can get the equation:
AB * x = DE
where x is our scale factor. We can substitute in the values of AB and DE, and solve for x:
5x = 15
x = 3
Therefore, the scale factor is three. This means that you can multiply any side of ABC by 3 to get a side of DEF.
The last four years of stock returns are as follows: Year 1 is -4% Year 2 is +28% Year 3 is +12% Year 4 is + 4% (a). What is the average annual return?
Answer:
The Average annual return is:
= 10%.
Step-by-step explanation:
a) Data and Calculations:
Year Stock Returns
Year 1 -4%
Year 2 +28%
Year 3 +12%
Year 4 + 4%
Total returns = 40%
Average annual returns = 10% (40%/4)
b) The average annual return is computed as the total returns for the four years divided by 4. It shows that on the average, the return earned per year from the stock investment is 10%, during the four-year period. It is the mean of the total returns.
I need help asap!!
Solve for d and show your work:
16d- (4 -5d) =-67
Step-by-step explanation:
16d-4+5d= -67
21d-4= -67
21d= -67+4
d= -63/21
d = -3
hope it helps
Answer: d = -3
Step-by-step explanation:
⇒16d -(4-5d) = -67
⇒16d -4 +5d = -67
⇒21d = -67+4
⇒21d = -63
⇒d = -63/21
⇒d = -3
Therefore d = -3
please click thanks and mark brainliest if you like :)
if l=5 and b=3 find the value of 2 (l+b)
Answer:
16
Step-by-step explanation:
2 (l+b)
Let l=5 and b=3
2 (5+3)
Parentheses first
2(8)
Multiply
16
Answer:
16
Step-by-step explanation:
Plug in:
2 (l + b)
2 (5 + 3)
2 (8)
16
Hope this helped.
Find the volume of the prism. 3m 5m 36m
Answer:
540m^3
Step-by-step explanation:
There are many kinds of prisms, if you were asking for a rectangular prism, then we do 3 * 5 * 36 = 540m^3.
Answer:
the answer is 540
Step-by-step explanation:
because 3x5x36=540
jack wants to run at least 275 miles before the baseball season begins. he has already run 25 miles. he plans to run 2.5 miles each day. at this rate what is the fewest number of days he will need to reach his goal
Hey there! I'm happy to help!
We see that Jack has already run 25 miles.
25
He also wants to run 2.5 miles every day. This means we will multiply 2.5 miles by the number of days he runs. We will call the number of days x.
25+2.5x
And he needs this to equal 275.
25+2.5=275
We subtract 25 from both sides.
2.5x=250
We divide both sides by 2.5
x=100
So, Jack will need to run 100 days to meet his goal.
Have a wonderful day and keep on learning! :D
Consider the first month's sales data for the Midwest region.
Select the correct answer from each drop-down menu.
1. 85
2. 15
3. 37
4. 18
1. Significantly different from
2. Relatively close to
1. inconsistent
2. consistent
Answer:
The correct options are:
1. Significantly different from
1. Inconsistent
Explanation:
Sales Data for Midwest:
Midwest region total stores Sales equal to 63.1%. The percentage for current store is less than total stores therefore data in the given table is not consistent. The data given is relatively for the first month sales and is significantly different from the other stores.
Answer:
In the picture
Step-by-step explanation:
From Plato / Edm
pls help asap !!!!!!!
Answer:
I think that the answer is 1 to1
Instructions: Find the missing side. Round your answer to the nearest
tenth.
590
28
X
X=
LOL….HEY
(Btw I’m not new to brainly, but I just forgot my old password) *sigh* ughh I start school August second and it’s gonna be my first year in high-school ….I- first of all summer break was wayyyyyyyyy too short basically 2 months and a half while the rest of the year I have to bust my behind preparing for test that don’t have anything to do with MY future plans….eeeee every time I think about it my anxiety levels raise higher and higher …..if any upper class men have some advice plz tell me…cuz I am legit terrified ngl (I checked out some freshmen tips on yxutube but that didn’t really help that much) *and btw this is kind of academically related so need to report me*
Answer:not a man but I think you should just relax and be yourself, high school isn’t scary at all. When you go in for orientation walk around the school and find your classes so you have a good map of where you need to go in your head already! Best of luck
Step-by-step explanation:
Given the table below, determine which type of equation best models the data and use a calculator to find an equation of best fit.
Answer:
Hello,
Step-by-step explanation:
Best fit: quadratic y=5.3x²-9.3+6.1
with an total error of 0.4
The expression 2r^2+18x +40 has a greatest common factor of 2.
Once the GCF is factored out, what are the two binomial factors
left that complete the equation.
what are the 2 missing binomial factors?
2(x^2+9x+20)
2(x^2+5x+4x+20)
2{x(x+5)+4(x+5)}
2(x+5)(x+4)
HELPPPPPP please guyss
