show that the equation x^3 + x - 3 has a solution between 1 and 2
Answer:
see explanation
Step-by-step explanation:
Evaluate the polynomial at x = 1 and x = 2
x = 1 : 1³ + 1 - 3 = 1 + 1 - 3 = - 1
x = 2 : 2³ + 2 - 3 = 8 + 2 - 3 = 7
Then ( 1, - 1 ) → (2, 7 )
Shows the polynomial goes from y = - 1 to y = + 7
The change in sign indicates the graph crosses the x- axis between 1 and 2
Thus indicating a solution between x = 1 and x = 2
A farmer is creating a budget for planting soybeans and wheat. Planting soybeans costs $200 per acre and planting wheat costs $500 per acre. He wants to spend no more than $100,000 planting soybeans and wheat. What is the "multiplier" for soybeans?
Answer:
5 acres < soybeans < 495
2 acres < wheat < 198 acres
Step-by-step explanation:
If farmer plans to plant minimum of soybeans, it should be 5 acres of soybeans costing $1000. The remaining cost of $98,000 will be available for maximum of wheat, i.e., 198 acres of wheat.
Similarly, if we go for minimum possible planting for wheat, it should be 2 acres, and then resulting in 495 acres for soybeans
5 acres < soyabeans < 495
2 acres < wheat < 198 acres
Answer:
The multiplier for soybeans is 200, which is dollars per acre.
Step-by-step explanation:
5 acres ≤ soybeans ≤ 495 acres (constraint)
2 acres ≤ wheat ≤ 198 acres (constraint)
150w + 125s = 100,000
This would represent 150 acres of wheat and 125 acres of soybeans. The acres of wheat would add up to $75,000 because 150 x 500 = 75,000 and the acres of soybeans would add up to $25,000 because 125 x 200 = 25,000. (example of a solution, there are more possible)
if you know the 7- square root of 5 is a root of a polynomial function, then the name given to 7+ square root of 5, which is another root of that same function, is the radical ___?
Answer: conjugate
Step-by-step explanation: A P E X
The other root of that same function is the radical conjugate.
What is a Polynomial?A polynomial is an expression consisting of variables, exponents, and coefficients of the variables joined by a plus or minus sign.
The expression is
7-√5
If this expression is a root of a polynomial, and 7+√5 is the root of the same polynomial then the radical is called radical conjugate.
A radical conjugate is an expression in which is there is at least one radical term, which is the same to the other expression with the same two terms and different signs.
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five horses can plow 20 acres of land how many can 21 horses plow
Answer:
84
Step-by-step explanation:
If a= 2, b=3, and c=1 find the value of the each of the following
question:5a
PLEASE ANSWER THIS IS AN EXAM
Answer:
10
Step-by-step explanation:
(3/5)x + 25y=10 determine the slope of the line
Answer:
The slope is -0.048/2.000 or -0.024
Step-by-step explanation:
1. Classify the triangle
A isosceles acute
B isosceles obtuse
C scalene acute
D scalene obtuse
A company was able to incite staff from 100 employees to 214 employees. What was the percentage increase in staff
Answer:
114%
Step-by-step explanation:
A company was able to incite staff from 100 employees to 214 employees. What was the percentage increase in staff?
Percentage Formula is given as:
New value - Old value/Old value × 100%
New value = 214
Old value = 100
Hence:
Percentage increase = 214 - 100/100 × 100
= 114/100 × 100
= 114 %
Therefore, the percentage increase = 114%
whats12 divided by 1/3 (infractions)
12 divided by 1/3 is also equal to 12 times 3.
12x3=36
To double check, you could use a calculator, but the answer would still be 36.
sorry if this doesn't help
Answer:
36/1
36
Step-by-step explanation:
What is the area of the triangle?
5
3
Answer:
7.5
Step-by-step explanation:
5 x 3 = 15 divided by 2 is 7.5
Christine's family went to the beach. They got to the beach at 11:20 A.M. and swam in the ocean for 1 hour and 10 minutes. Then they built sand castles for 45 minutes and played volleyball for 50 minutes before heading home. What time was it when Christine's family left the beach?
Answer:
15
Step-by-step explanation:
50 + 45 is 95 1h - 10min is 15
Answer:
2:05
Step-by-step explanation:
11:20 then 12:30 then 1:15 finnaly 2:05
Mark spends $36 at a basketball game. He buys a T-shirt for $22. He then buys a bottle of water for $4 and 2 tacos. How much is each taco?
Answer:
each taco is $7.
Step-by-step explanation:
In total he spent $36. He bought a shirt for $22 and a bottle of water for $4.
22+4= 26
36-22= 14
14 divided by 2= 7
Answer:
each taco is $5.
Step-by-step explanation:
Let's think about like Mark starts off with $36. Take away $22 for that t-shirt he bought. Now he has $14. He uses $4 for water, now he has $10. The rest of his money is spent on tacos. $10/2 tacos is $5 for each taco. :)
Square root 50 is between what two consecutive whole numbers?
Answer:
√50 lies between 7 and 8.15
Step-by-step explanation:
your welcome.
Answer:
7 and 8
..
.....
Ethan invested $9,500 in an account paying an interest rate of 2 3/4% compounded monthly. Henry invested $9,500 in an account paying an interest rate of 3 3/8% compounded quarterly. After 9 years, how much more money would Henry have in his account than Ethan, to the nearest dollar?
Answer:
691
Step-by-step explanation:
Henry would have $1,005.94 more than Ethan in his account after 9 years.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
To solve this problem, we can use the formula for compound interest:
[tex]A = P(1 + r/n)^(^n^t^)[/tex]
where A is the amount after t years,
P is the principal
r is the annual interest rate,
n is the number of times the interest is compounded per year, and
t is the time in years.
For Ethan:
P = $9,500, r = 2.75% = 0.0275 (since it is compounded monthly, n = 12), and t = 9
[tex]A = 9,500(1 + 0.0275/12)^(^1^2^\times^9^)[/tex]
= $12,817.84
For Henry:
P = $9,500,
r = 3.375% = 0.03375 (since it is compounded quarterly, n = 4), and
t = 9
[tex]A = 9,500(1 + 0.03375/4)^(^4^\times^9^)[/tex]
= $13,823.78
The difference in the amounts is:
$13,823.78 - $12,817.84 = $1,005.94
Therefore, Henry would have $1,005.94 more than Ethan in his account after 9 years.
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What is the area of the object??
Here's link to the answer:
tinyurl.com/wtjfavyw
While eating dinner, Marian ate 25% of the apple slices she had in her bag. There were 20 apple slices in her bag. How many apple slices did
Marian eat?
4
Find the area of each figure.
Answer:
Figure 1's area is 530.66 centimeters and figure two's is 1589.6250 centimeters
Hey there!
The answers are 706.5 and 1589.625
The formula for the area of a circle is [tex]\pi[/tex][tex]r^2[/tex].
For the first circle, the radius is 15, so let's solve:
[tex]\pi (15^2)[/tex]
[tex]\pi(225)\\3.14(225)\\\\706.5[/tex]
The second circle has a diameter of 45, and the radius is half the diameter, so 45/2 = 22.5. Let's solve:
[tex]\pi (22.5^2)\\\pi (506.25)\\3.14(506.25)\\1589.625[/tex]
Have a super awesome day!
x2 - 18x + 81
True or False?
Your FACTOR is when you SQUARE your B value.
in this way you can solve this
Please answer I’ll make brainliest
Answer:
The lengths that represent the legs of tri ABC are AC and BC
Step-by-step explanation:
AB is the hypotenuse as it is the side opposite to 90°
Answer:
Step-by-step explanation:
AC and BC are legs of the right triangle ABC
Please and don’t just answer for the points, it’s rude
Answer:
7a ( 1,1)
7b ∅ or no solution
Step-by-step explanation:
The solution to the system is where the two functions intersect
For 7a. The parabola and the line intersect at (1,1)
For 7b The parabola and the line do not intersect so there is no solution
Can someone help ? please
Answer:
(-4,3)
Step-by-step explanation:
In a function no two points can be on the same x value.
The square below represents one whole.
What percent is represented by the shaded area?
Answer:
52%
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
This is a 10 x 10 grid so you have 100 squares and 52 shaded blue so divide 52/100 for the percent, so 52% are shaded
Solve the two-step equation.
5.1 = –3x – 4.2
1. Add 4.2 to both sides.
2. Divide both sides by -3.
The solution is x =
.
Answer:
X = -3.1
Step-by-step explanation:
Answer:
the answer is x= -3.1
Step-by-step explanation:
proof its the right answer
Given the graph below find the slope.
Answer:
slope=4
Step-by-step explanation:
in order to find slope, you can use rise/run. You start at the first point, count up, and then count to the right until you get to the second point. rise/run is 4/1 or just 4.
The sum of three times the value of X and two is equal to four less than five times the value of X.which equation can be used to find value of X
I need help with this answer I would like help !
Prove this
ASAP PLSSS
Answer:
its now proved
Step-by-step explanation:
Answer:
using this identies
easy too solve this question
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer: hey Andrew Davila it’s green Z
Step-by-step explanation:
Answer:
it might be Green z
Step-by-step explanation:
because there is only three (Z) and one (X) so it represents Green Z
I hope it works out
the surface area of a square pyramid is 136 square inches. The base length is 4 inches. What is the slant height???/
Step-by-step explanation:
Will u give me brainliest
how many integers between 36 and 100 have a remainder of 3 when divided by 22?
Answer:
36, 47, 58, 69, 80, 91
Step-by-step explanation: