Answer:
Yes, k is lower bound for the real zeros of the function.
Step-by-step explanation:
Lower Bound Theorem:
If you divide a polynomial function f(x) by (x - k), where k < 0, using synthetic division and this yields alternating signs, then k is a lower bound to the real roots of the equation f(x) = 0.
Given;
4x³ - 2x² + 2x + 4
k = -1
synthetic division;
-1 ] 4 -2 2 4
↓ -4 6 -8
---------------------------------------------
4 -6 8 -4
(the result has alternating signs, hence k is lower bound)
Thus, k is lower bound for the real zeros of the function.
Determine the value of the variables a, b, and c when simplifying and evaluating the expression. 3^8/3^4 = a^b = c
Answer:
3, 4, 81
Step-by-step explanation:
plz thank
The value of a is 3, value of b is 4 and value of c is 81.
To understand more, check below explanation.
Exponential identity:The exponential identity is,
[tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex]
We have to solve, [tex]\frac{3^{8} }{3^{4} }[/tex]
[tex]\frac{3^{8} }{3^{4} } =3^{8-4} \\\\\frac{3^{8} }{3^{4} } =3^{4} \\\\\frac{3^{8} }{3^{4} } =3*3*3*3=81[/tex]
Hence, the value of a is 3, value of b is 4 and value of c is 81.
Learn more about the exponential expression here:
https://brainly.com/question/8844911
what is 222 times 5
no explanation please
Answer:
1110
Step-by-step explanation:
Hey there!
222 multiplied by 5 is 1110.
You can also use a calculator to find that out haha!
Have a wonderful day!
7(+5)=21
can you please help with math problem
PLEASE HELP WILL MARK BRAINLIEST
Find the area of the right triangle.
Answer:
Step-by-step explanation:
This right triangle is on a grid.
The area is the height * base/2
The base is on a line segment parallel to the x axis which is 6 squares.
The height is on a line segment parallel to the y axis which is 2 squares
The area is the height * base /2
Area = 6 * 2 /2 = 12/2 = 6 square units.
Please answer !!!!!!!! Will mark brainliest correct answer !!!!!!!!!!!
Answer:
B
Step-by-step explanation:
I had that same answer. I did it with my teacher and he said it was b
What’s the area of this triangle??
Answer:
6
Step-by-step explanation:
In a right triangle the legs are base and height
area = (1/2) base × height = (1/2) 3 (4) = 6
Answer: 6 square units
Need Answer ASAP will give branliest to the first right answer
The two-way table shows the number of students in a school who have rabbits and/or dogs as pets.
Have Rabbits
Do Not Have Rabbits
Total
Have Dogs
22
18
40
Do Not Have Dogs
23
27
50
Total
45
45
90
How many more students have rabbits than dogs?
1
4
5
10
Helpp pLZZZZ
Jack can mow the baseball grounds in 2 hours; Mike can mow the same grounds in 3 hours; and Chris can mow the grounds in 4 hours. How long will it take to mow the baseball grounds if Jack, Mike, and Chris work together?
Leave your answer in proper fraction form, then round to 1 decimal place.
Using your rounded answer, how many minutes would that be?
Answer:
1hr 37min 18 sec
Step-by-step explanation:
Jack can mow the baseball grounds in 6 hours
Jack rate = 1/6 job/hr
-------------------------------
Mike can mow the same grounds in 5 hours
Mike rate = 1/5 job/hr
-------------------------------
Chris can mow the grounds in 4 hours.
Chris rate = 1/4 job/hr
-------------------------------
Together rate = 1/x job/hr
----------------------------------
Equation:
rate + rate + rate = together rate
[ 1/6 + 1/5 + 1/4] = 1/x
x[(5*4 + 6*4+ 6*5)/(6*5*4)] = 1
----
x(74/120) = 1
x = 120/74 = 1.62 hours = 1 hr 37 min 18 sec
Brainliest?????! Answer ASAP!
Answer:
12
Step-by-step explanation:
12
-560.114 a rational or irrational
Find the slope of the line
y
=
3
4
x
− 1
.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:The answer is negative three
Step-by-step explanation:
help me pleaseeee due in one minute
Answer:
The anwer is 1/2
[tex]P=N_Y/Total=3/6=1/2[/tex]
Hi can any one please help me to do this I have no idea about it please help me
Answer:
188.4cm³
Step-by-step explanation:
Please help! Correct answer only! What is the slope of the line in this graph?
A. 5/9
B. 5/7
C. 7/5
D. 9/7
Answer:
B. 5/7
Step-by-step explanation:
Up the y axis by 5 and over the x axis by 7
A group of 9 students has these numbers of children in their families:
3, 2, 4, 2, 1, 5, 1 ,3 ,7
_________________________________
Answers:Median=3
Mean=3.12
Step by step explanation:
1. Arranging the data in ascending order:
=1,1,2,2,3,3,4,5,7
N(total number of items)=9
Now,
Median= (N+1/2) th item
=(9+1/2)th item
=(10/2) th item
=5 th item.
Median= 3
------------------------------------------------------------
2. Given data: 3,2,4,2,1,5,1,3,7
Summation FX= 28
N(total number of items)=9
Now,
Mean= summation FX/N
= 28/9
=3.12
Mean =3.12
Hope it helps....Good luck on your assignment
_______________________________
Step-by-step explanation:
median (need to be arranged first):
1,1,2,2,3,3,4,5,7 (9 numbers)
median=9+1/2
=5 (5th)
=3
mean=x/n
=(1+1+2+2+3+3+4+5+7)/9
=28/9
=3.111
Calculate log 10.5 , Given that log 2 = 0.30, log 3 = 0.48 and log 7 = 0.85
Answer:
Step-by-step explanation:
log 2.5=log 21/2=log (3*7)/2=log3+log7-log 2=0.48+0.85-0.3=1.03
The synthesis of a large collection of information that contains well-tested and verified hypotheses about certain aspects of the world is known as a scientific
A) fact.
B) hypothesis.
C) law or principle.
D) theory.
E) none of these.
Answer:
it's a B because it's the best answer for this quistion like they are saying IF I do this Then this should happen
Can someone please help me
Answer:
1) A.
2) C.
Step-by-step explanation:
1) 1 pint = 1/2 quarts
15 pints = 15 × 1/2 quarts
15 pints = 15/2 quarts
15 pints = 7 1/2 quarts
2) 1 quarts = 0.95 liters
4 quarts = 0.95 × 4 liters
4 quarts = 3.8 liters
Which is an exponential decay function?
f(x)=3/4(7/4)^x
fx) = 2/3(4/5)^-x
f(x) = 3/2(8/7)^-x
f(x)= 1/3(-9/2)^x
Answer:
c)3/2(8/7)^x
Step-by-step explanation:
Evaluate the functions.
1. Because 7/4 > 1 and the exponent is positive,
the function does not decay.
2.Because 4/5 < 1 and the exponent is negative,
the function does not decay.
3. Because 8/7 > 1 and the exponent is negative,
the function decays.
4. Because 9/2 > 1 and the exponent is positive,
the function does not decay.
A composite plot the functions verifies the answer.
If all the x's are exponents, then 3/2 (8/7)^-x is the only one that decays as x gets bigger. That's because the base is greater than 1 and the x is negative.
please mark me brainliest :)
The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1
Exponential equationsThe standard form of an exponential equation is expressed as:
y = a(b)^x
where
a is the base
x is the exponent
b is the rate (determine whether the rate is growth or decay)
If the value of b is less than 1 then it is a decay function. The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1
Learn more on exponential function here: https://brainly.com/question/2456547
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How many cookies would you expect to be rejected in a sample of 10,000 cookies?
Answer: 456
Step-by-step explanation:
idk if this is right i dont have anouf to be 100% sure but thats about right sorry if its not, i would try and put more info in next time to get a closer answer
Answer: Depending on who is tasting them, and their love for cookies iam going for something along the lines of 4750
Factor −1/9 out of −1/9x−3.
Answer:
-1/9 (x+27)
Step-by-step explanation:
Divide the whole expression by -1/9.
-1/9x becomes x
-3 becomes + 27
PLEASE HELP!! if f(x)= 2x^2-11, find f(4)
Answer: f(4) = 21
Step-by-step explanation:
2(4)^2-11
4^2 = 16
2(16)-11
Multiply 2 and 16
32 - 11
Subtract
21
Answer:
21
Step-by-step explanation:
f(x)= 2x^2-11
Let x= 4
f(4)= 2*4^2-11
= 2 * 16 - 11
= 32 -11
21
Please help me it is only 1 question please help me I have no idea about this
Answer:
53
Step-by-step explanation:
Answer:
(540 - π60 cm²) or 350cm³(351.5)
Step-by-step explanation:
You'll have to subtract the volume of the rectangular prism with the cylinder.
We know that the prism's volume is V = s*s*h = 6*6*16 = 540 cm²
We also know the cylinder's volume: V = πr²h = π(4/2)²*15 = π*4*15 = π*60
Now the only step remaining is to subtract the volume of the prism with the cylinder: 540 - π*60 cm³
540 - π*60 cm³ is the full answer
350 is the approximate answer (rounded it down from 351.5 to 350cm³)
Help me ASAP Need to hand in now
Answer:
(2d +7y) cm
Step-by-step explanation:
length of rope= 1st part +2nd part +3rd part
1st part= 2d
2nd part= d +2y
3rd part
= 2nd part +3y -2d
= d +2y +3y -2d
= 5y -d
Thus, length of rope
= 2d +d +2y +5y -d
= (2d +7y) cm
A. A worker with 1700 hours of training is paid $40 per month.
B. A worker who works 40 hours is paid $1700.
C. There are 40 workers who are paid $1700 per month.
D. A worker with 40 hours of training is paid $1700 per month
Answer:
d.
Explanation:
Look at the title of the categories in the chart. 40 is categorized under “hours of training,” meaning 40 hours of training. 1700 is categorized under “monthly pay.” Put the information together and it means $1,700 for 40 hours that month.
Which statement is true about the graphs of the two lines y = -4/5x + 2 and y = -5/4x - 1/2?
Statements:
1. The lines are perpendicular to each other because -4/5 and -5/4 are opposite reciprocals of each other.
2. The lines are perpendicular to each other because 2 and -1/2 are opposite reciprocals of each other.
3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.
4. The lines are neither parallel nor perpendicular to each other because 2 and -1/2 are not opposite reciprocals of each other.
Answer:
3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.
Step-by-step explanation:
Our answer is
3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.
Because [tex]-\frac{5}{4}[/tex] and [tex]-\frac{4}{5}[/tex] are not opposite reciprocals because they share the same sign ( - ).
Statement 3 is true. The lines y = -4/5x + 2 and y = -5/4x - 1/2 are neither parallel nor perpendicular to each other because the slopes -4/5 and -5/4 are not opposite reciprocals of each other.
To determine if two lines are perpendicular, we need to compare their slopes. If the slopes are negative reciprocals of each other, the lines are perpendicular.
Let's analyze the slopes of the given lines:
Line 1: y = -4/5x + 2
The slope of Line 1 is -4/5.
Line 2: y = -5/4x - 1/2
The slope of Line 2 is -5/4.
To check if these slopes are negative reciprocals, we need to invert one of the slopes and change its sign. Let's invert the slope of Line 1:
Inverted slope of Line 1: -5/4
The inverted slope of Line 1 is not equal to the slope of Line 2 (-5/4 ≠ -5/4). Therefore, the slopes are not negative reciprocals of each other.
Hence, Statement 3 is true. The lines y = -4/5x + 2 and y = -5/4x - 1/2 are neither parallel nor perpendicular to each other because the slopes -4/5 and -5/4 are not opposite reciprocals of each other.
To know more about slopes, refer here:
https://brainly.com/question/29243356
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Can someone help me.???
Answer:
1) x =4/3 = 1 1/3
2) y = 10/3 = 3 1/3
3) y = 8
Step-by-step explanation:
y = x + 2/3
1) 2 = x+ 2/3
x = 2 - 2/3 =-6/3 -2/3
x = 4/3 = 1 1/3
2) 8/3 + 2/3 = y
y = 10/3 = 3 1/3
3) 22/3 +2/3 =y
y = 24/3 = 8
Answer:
y=z+2/3
y=2 => z=2-2/3= 4/3
z=8/3 => y= 8/3+2/3= 10/3
z=22/3 => y=22/3+2/3= 24/3= 8
Find the perimeter of the figure. If you need to use Pi in your computation, approximate its value as 3.14. Rectangle topped by a semicircle A rectangle topped by a semicircle. The rectangle has length of 6 meters and width of 5 meters. The circle has diameter 5 meters. a. 29.85 m b. 18.57 m c. 32.70 m d. 24.85 m
Answer:
l think the answer is C
32.70m
Step-by-step explanation:
we all know that perimeter is the distance round the shape.
so the first step is adding 6 +6 because the other side of the shape is also 6 then add 5 and this equals to 17.
After that we find the area of the circle
which is 3.14*5= 15,7
After getting this value we add it to 17
then we get 32.70m
Answer:C
Step-by-step explanation:
HELPP PLEASE What is the value of x in the diagram below?
48
18
O A. 4
B. 6
C. 5
O D. 3
SUBMIT
Answer:
x = 3
Step-by-step explanation:
The triangles are similar, using ratios
x 8
------ = -----------
18 48
We can use cross products to solve
48x = 8*18
48x = 144
Divide each side by 48
48x/48 = 144/48
x =3
3x2 + 5x - 7 = 0 is a quadratic equation.
True
False
Answer:
True
Step-by-step explanation:
Quadratic equations have the highest degree on x as 2. The given equation has 3x^2, meaning that it is quadratic.