Answer:
1
Step-by-step explanation:
What you can do is do [tex]3x-4=-x[/tex]
-4=-4x
x=1
CHECK:
[tex]3-4=-1[/tex]
[tex]-1=-1[/tex]
Which of the following represents the zeros of f(x) = 6x3 − 31x2 + 4x + 5?
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I need help please!!! My teacher doesn't teacher and she has asked us to do a problem I don't know how to do it. Can somebody explain or give the answer and show your work so I can understand that way? I will be giving away 20 points and brainliest. Thank You!
A patient is told to avoid caffeine for 8 to 12 hours before a blood test scheduled for 6 a.m. The blood test is reliable for up to 50 milligrams of caffeine in the bloodstream. The patient’s body metabolizes caffeine at a rate of 13% per hour.
a. At 10 p.m., the patient drinks a cup of coffee containing 150 milligrams of caffeine. Will the patient be ready for the blood test by 6 a.m.? Explain.
b. How many milligrams of caffeine could the patient have ingested at 7 p.m. and been ready for the blood test at 6 a.m.?
Using exponential functions, it is found that:
a) Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.
b) The patient could have ingest 231 milligrams of caffeine.
A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem:
Caffeine metabolize at a rate of 13% per hour, hence [tex]r = 0.13[/tex].Then:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = A(0)(1 - 0.13)^t[/tex]
[tex]A(t) = A(0)(0.87)^t[/tex]
Item a:
The coffee cup contains 150 milligrams of caffeine, hence [tex]A(0) = 150[/tex].
At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).
[tex]A(t) = A(0)(0.87)^t[/tex]
[tex]A(8) = 150(0.87)^8[/tex]
[tex]A(8) = 49.2[/tex]
Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.
Item b:
This A(0), considering A(11) = 50, hence:
[tex]50 = A(0)(0.87)^{11}[/tex]
[tex]A(0) = \frac{50}{(0.87)^{11}}[/tex]
[tex]A(0) = 231[/tex]
The patient could have ingest 231 milligrams of caffeine.
A similar problem is given at https://brainly.com/question/25537936
Find the slope of the line going through the points (-4, 13) and (8,-11).
Answer:
The Slope is -2
Step-by-step explanation:
The entered points belong to a decreasing, linear function.
Equation: y = -2x + 5.
Answer:
Slope = -2
Step-by-step explanation:
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\left(x_1,\:y_1\right)=\left(-4,\:13\right),\:\left(x_2,\:y_2\right)=\left(8,\:-11\right)\\m=\frac{-11-13}{8-\left(-4\right)}\\\mathrm{Refine}\\m=-2[/tex]
2y(-2y - 8)
Expand & simplify.
show ur steps
Answer:
-4y²- 16y
Step-by-step explanation:
2y(-2y - 8)
2y (-2y) + 2y (-8) Distributive
-4y² - 16y Multiply (+)(-) = - and (y)(y) = y²
BRAINLYEST PLUS 5 POINTS
PLEASE DO STEP BY STEP!:)
Evaluate 12x-3(3x-5)+24 when x = 2
Answer:
Step-by-step explanation: All we are doing here is inserting 2 in place of all the x variables. So that is written as 12(2)-3(3(2)-5)+24. Next, we follow the order of operations to solve
1) Multiply 3 by 2 and subtract by 5 inside the parenthesis = 12(2)-3-1+24
2) Multiply 12 by = 24-3+1+24
3) subtract 3 from 24 = 21+24
4) Add the final two terms = 45
MARK BRAINLIEST
The weight of each fountain pen manufactured in a factory must be 10g with a tolerance of 2g. Pens that are not within the tolerated weight must be thrown away. Write an inequality that can be used to assess which pens are tolerable (w is the weight of the pen)?
According to the information given, the absolute value inequality that can be used to assess which pens are tolerable is:
[tex]|w - 10| \leq 2[/tex]
The absolute value function measures the distance of a point to the origin, and is defined by:
[tex]|x| = x, x \geq 0[/tex][tex]|x| = -x, x < 0[/tex]The weight must be of 10g, with a tolerance of 2g, which means that the absolute value of the difference between the weight w and 10g must be of at most 2g, hence the inequality is:
[tex]|w - 10| \leq 2[/tex]
To learn more about absolute value inequalities, you can take a look at https://brainly.com/question/24005819
How many negative integers $m$ satisfy the inequality $\dfrac{3}{m} \le -\dfrac27$?
Answer:
10
Step-by-step explanation:
The restriction m < 0 means we can multiply by -7m/2 without changing the direction of the inequality symbol
[tex]\dfrac{3}{m}\le-\dfrac27\\\\-\dfrac{21}{2}\le m\qquad m<0}[/tex]
Then the solution is the number of negative integer values between -10.5 and 0. There are 10 negative integer values of m that satisfy the inequality.
what value is equivalent to 5^2 x 5^2 A20 B425 C625 D80
The range of the set of the values 7, 3, 6, 9 and 5 =
Answer:
6
Step-by-step explanation:
Since the range of a set is the difference between the highest and the lowest value in that set, the range here is:
9 - 3 = 6
D(3, 6), E(-4,-3), F(6, 1) and
D'(1, 6), E'(8, -3), F(-2, 1)
Answer:
d
Step-by-step explanation:
Divide 75 by -25.
12
Answer: 6.25
Step-by-step explanation:
HELP ME PLEASE REALLY NEED DONE INE the NEXT 3 MINUTES
I watch television from 5 o clock until half past. How long do I watch for?I watch television from 5 o clock until half past. How long do I watch for?
Answer:
30 minutes
Step-by-step explanation:
Im doing an extra credit assignment and I need someone to help me solve by substitution method
y=x+3
y=2x+5
Answer:
(-2,1)
Step-by-step explanation:
that is where the two graphs intersect
the sum of the interior angle in a polygon is 40,500° what is the number of sides in the regular polygon
Answer:
227 sides
Step-by-step explanation:
The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:
40500 = 180(n-2)
225 = n-2
227 = n
Therefore, the number of sides in the regular polygon is 227.
what's the answer of 7 1/2
Answer: 7.5
Step-by-step explanation: hope this help :)
Answer:
7.5
Step-by-step explanation:
hope this help you guys to answer the question
help pls i don't know how to do it
Answer:
y=5x-8
Step-by-step explanation:
Slope=m=(7-3)/(3-2)
y=5x+b=>2=5*2+c=>c=-8
So y=5x-8
[tex]\text{Given that,}\\\\(x_1,y_1) = (2,2), ~ \text{and}~ (x_2,y_2) = (3,7)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{7-2}{3-2} = \dfrac 51 = 5\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y-2= 5(x-2)\\\\\implies y -2 = 5x-10\\\\\implies y = 5x -10 +2\\\\\implies y = 5x -8\\\\\\\text{It is now in a form of y = mx +c}[/tex]
Ben bowled 153 and 192 in his first two games. What must he bowl in his third
game to have an average of at least 170?
in his third game in order to have an average of at
Ben must bowl at least
least 170.
Find the EXACT distance between the two points.
(4,7) and (−4,9)
ANSWER: [tex]y=-\frac{3}{4} x +6 <=>3x=24-4y[/tex]
Ok done. Thank to me :>
May I please receive help?
Answer:
a=√2, c=4√3
Step-by-step explanation:
Recall that in a 45-45-90 triangle, the side lengths are the same but the hypotenuse is the side length times the square root of 2. Therefore, a=2/√2=√2.
Recall that in a 30-60-90 triangle, the shorter side length is x, the longer side is x√3, and the hypotenuse is 2x. Therefore, c=4√3
What is the equation of the line that passes through (-6,-2) and had a slope of -1/6
Answer:
[tex]y = -\frac{1}{6}x - 3[/tex]
Step-by-step explanation:
Slope Intercept Form : [tex]y = mx + b[/tex]
Using our slope, -1/6, input it for m, then plug the point (-6, -2) for x and y
[tex]y = mx+b\\\\-2 = (-1/6)(-6) + b\\\\-2 = 1 + b\\\\b = -3[/tex]
Equation : [tex]y = -\frac{1}{6}x - 3[/tex]
-Chetan K
How do I use Pythagorean Theorem to find out if a triangle has a right angle
In order to use the Pythagorean Theorem to find out if a triangle has a right angle, you have to determine If the squares of the two shorter sides add up to the square of the hypotenuse, then you know the triangle contains a right angle.
A cycle is marked at ₹ 4500 and sold for rupees ₹4185 padma said that the discount percentage is 7 % do you agree ? give reasons.
DON'T SPAM!JUST DON'T
Answer:
Yes
Step-by-step explanation:
Given:A cycle is marked at ₹4500 and sold for rupees ₹4185.
Now, To find discount
4500 × 7 ÷ 100 = ₹315
Now,
4500 - 315 = ₹4185
Thus, The answer is Yes Agreed!
-TheUnknownScientist 72
Can someone please help me with this easy math problem?
solve this
(below, in picture)
5. Find mTOS in the figure below.
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day!
We can solve this problem in a single step, that is using theory and a bit of algebra/elementary math.
We can start off by looking at the problem. We see that angles UOT and angle TOS both add up to 180 degrees
Since we know this, we can form the equation [tex]<TOS=180-128[/tex]
Therefore, we know that <TOS is 52 degrees.
We can test this by adding up 52 and 128 and we should get 180.
[tex]128+52=180?\\180=180[/tex]
Therefore, [tex]<TOS=52[/tex] degrees.
5/9 divide 5 in the simplest form
[tex] \: \: \: \: \: \: [/tex]
[tex] = \frac{1}{9} \\ \\ or \: \: in \: \: alternate \: form \: \: \\ \\ 0.1, {3}^{ - 2} [/tex]
Step-by-step explanation:
[tex] \frac{5}{9} \div 5[/tex]
dividing the equivalent to multiplying by the reciprocal[tex] \frac{5}{9} \times \frac{1}{5} [/tex]
reduce the numbers with the greatest common factor 5[tex] = \frac{1}{9} \: \: \\ \\ or \: \: in \: \: alternate \: \: form \\ \\ 0.1, {3}^{ - 2} [/tex]
hope it helpsWrite 72,658 in expanded form using
exponents to write powers of 10.
ayo how do answer these
Step-by-step explanation:
7 x 10^4
+ 2 x 10^3
+ 6 × 10^2
+ 5 × 10^1
+ 8 X 10^0
Check image for question
[tex]\dfrac{0.8\times 0.04}{0.5}\\\\\\=\dfrac{\tfrac 8{10} \times \tfrac 4{100}}{\tfrac 5{10}}\\\\\\=\dfrac{\tfrac 45 \times \tfrac 1{25}}{\tfrac 12}\\\\\\= \dfrac 4{125} \times 2\\\\\\=\dfrac 8{125}[/tex]
Ben reads 6 pages of a book in 8 minutes, 9 pages in 12 minutes, and 30 pages in 40 minutes. If m represents the number of minutes and p represents the number of pages, which equation represents the number of pages Ben reads per minute?.
The equation which represents the number of pages Ben reads per minute is p = 0.75m
Given:
6 pages of a book in 8 minutes
9 pages in 12 minutes
30 pages in 40 minutes
Number of minutes = m
Number of pages = p
Pages per minute = 6 pages ÷ 8 minutes
= 6/8
= 0.75 pages per minute
The equation:
p = 0.75m
Therefore, the equation which represents the number of pages Ben reads per minute p = 0.75m
Learn more about ratio:
https://brainly.com/question/16981404