Answer:
[tex] x_{1} = - \sqrt{2} \: .\: x_{2} = - 1 \: . \: x_{3} = 1 \: . \: x_{4} = \sqrt{2} [/tex]
Step-by-step explanation:
x⁴ - 3x² + 2 = 0
x^2×2 - 3x² + 2 = 0
(x²)² - 3x² + 2 = 0
t² - 3t + 2 = 0
t = 1, t = 2
x² = 1, x² = 2
x = -1, x = 1
x = - square root 2, x = square root 2
[tex] x_{1} = - \sqrt{2} \: .\: x_{2} = - 1 \: . \: x_{3} = 1 \: . \: x_{4} = \sqrt{2} [/tex]
A car is 150 inches long. A truck is 60% longer than the car.
How long is the truck?
Answer: Therefore, the truck is 240 inches long.
Step-by-step explanation:
truck = 150 + 60% of 150
= 150 + 60/100 * 150
= 150+90
= 240 inches
Solve for P A= 2xP+4P
Answer: P = A/6
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
How to determine values of a,b and c
(i) The graph of f is symmetric about the y-axis - this is another way of saying f is an even function, which means
[tex]f(x) = f(-x) \iff \dfrac{ax+b}{x^2-c} = \dfrac{-ax+b}{x^2-c}[/tex]
The denominator remains unchanged, so
ax + b = -ax + b
Solve for a :
ax = -ax
2ax = 0
a = 0
(The alternative is that x = 0, but if that were the case then there would be infinitely many choices for a.)
So
[tex]f(x) = \dfrac{b}{x^2-c}[/tex]
(ii) Since
[tex]\displaystyle \lim_{x\to2^+}f(x) = +\infty[/tex]
it follows that x - 2 must be a factor of the denominator. If that's true, then
x ² - c = (x - 2) (x - r )
for some other root r of x ² - c. Expanding the right side gives
x ² - c = x ² - (2 + r )x + 2r
so that
-(2 + r ) = 0 ===> r = -2
2r = -c ===> -c = -4 ===> c = 4
and so
[tex]f(x) = \dfrac{b}{x^2-4}[/tex]
(iii) Finally, we're given that f ' (1) = -2. Differentiating f gives
[tex]f'(x) = -\dfrac{2bx}{(x^2-4)^2}[/tex]
so that
[tex]f'(1) = -\dfrac{2b}{(1^2-4)^2} = -\dfrac{2b}{9}[/tex]
Then
-2b/9 = -2 ===> b = 9
and we find that
[tex]f(x) = \dfrac{9}{x^2-4}[/tex]
ANSWER FOR BRAINLIEST
Given A(-6, -2) & B(-5,1)
Find AB
Find the midpoint of AB
Answer:
Question 5 options: (4, 4) (1, 1) (3, 1) (10, 4)
Step-by-step explanation:
Answer:
hope it helps.....................
How do you solve this problem 4÷8/9-1/2=
Answer:
Step-by-step explanation:
4/(8/9)-(1/2)=4
PLEASE HELP
The table shows information about the population of a city.
Population in 2001 is 420 000
Population in 2011 is 480 000
Liam claims
"From 2011 to 2021 the population of the city will increase by
the same percentage as from 2001 to 2011"
He works out.
population increase from 2001 to 2011 = 480 000 - 420 000
= 60 000
population in 2021 = 480 000 + 60 000
= 540 000
Does the population of 540 000 match his claim?
You must show your working.
Answer:
y
Step-by-step explanation:
please someone help. Giving brainliest!!!!!! :)
Answer:
PLEASE BRAINLIEST
Step-by-step explanation:
400-2a =332
400-332 =2a
2a=68
a=34
Reuben types at a rate of 14 words per minute.
How many words does he type in 2 minutes?
Answer:
28 words.
Step-by-step explanation:
You already know that he types at a rate of 14 words per minute.
To find how many words he types in 2 minutes, just multiply 14 by 2.
You get 28, which tells you how many words Reuben can type in 2 minutes.
Answer :
The answer is 28.
PLEASE PLEASE HELP ME
A pole that is 3m tall casts a shadow that is 1.56m long. At the same time, a nearby building casts a shadow that is 47.45 long. How tall is the building? Round your answer to the nearest meter.
Answer:
49.0?
Step-by-step explanation:
its probably wrong lol
I would say 50 meters
!!! WILL GIVE BRAINIEST
Barry put all of the tiles shown below into a bag, then randomly pulled out one round one and one square one. What is the probability that Barry drew two red tiles?
I know the answer is 1/80 but how do you get there?
Answer:
its B
Step-by-step explanation:
trust me i just got it
N = d + h + z
7
for h
A. h = 7(N - d-z)
c. h = 7N â€" 4 â€"z
B. h = 7N + 7d + dz D. h = 7N + d + z
Answer:
I prefer A is the option that suits this question
50 Points!! I'M CONFUSED SO PLEASE HELP
Answer:
x=5
Step-by-step explanation:
Only pay attention to one transversal at a time
two angles are congruent so
9x+12=13x-8
9x-13x=-8-12
-4x=-20
4x=20
x=5
Katie bought 4 sweaters that each cost the same amount and 1 skirt that cost $20. The items she bought cost a total of $160 before tax was added. What was the cost of each sweat?
Answer:
$35
Step-by-step explanation:
first we need to find the amount of money the sweaters cost alone.
so we first subtract the total (160) - the skirt price (20) which is 140
now we divide it by 4 to find the price of each seater, as they all cost the same.
so 140 divided by 4 = 35
answer: $35
help
Sam’s mom bought some apples:
4 bags of 10 apples,
5 bags of 20 apples,
12 bags of 30 apples,
How many apples did Sam’s mom buy?
Answer:
500
Step-by-step explanation:
4 times 10 equal 40
5 times 20 equals 100
12 times 30 equals 360
360
+ 100
40
________
500
What are the next few terms after the following sequence? 1, 1/2, 1/3, 1/4
Answer:
1/5, 1/6, 1/7, 1/8,1/9, 1/10,1/11,1/12
Please help me! Please please please help me!
given that f= x^3/4 +6. find f(4)
Answer:
here
f= x^3/4 +6
to find f(4)
Step-by-step explanation:
f(4)= 4^3/4+6
=64/10
= 6.4
Which of the following ordered pairs is a solution to the equation? (-4,-1) (-2,0) (0,3) (9,1)
Somebody help me please
Answer:
A goes with the sum of a number and 3
B goes with the product of 4 and a number
C goes with 2 less than a number
D goes with the quotient of 5 divided by a number
Step-by-step explanation:
A tank is in the shape of a cylinder 7 feet tall and 10 feet and radius find the exact surface area of the tank
Answer:
[tex]2036.75088022^{2}[/tex] or [tex]2036.8^{2}[/tex] rounded to the nearest tenth
Step-by-step explanation:
1. Find the area of the base and the top, which are circles.
Area of circle : [tex]\pi 10^{2}[/tex] = 986.960440109
There are 2 circles, soooooo....= 986.960440109 x 2 = 1973.92088022
2. Find the rest of the area of the cylander.
So, we have to find the circumference of the circle.
Circumference :2[tex]\pi[/tex]10 = 62.83
3. Multiply circumference by height.
62.83 x 7 = 439.81
4. Add all of the products.
439.81 + 1973.92088022 = [tex]2036.75088022^{2}[/tex] or [tex]2036.8^{2}[/tex] rounded to the nearest tenth
You Use the distributive property to find the product 3/4 x 2 1/3
Answer:
1 1/4
Step-by-step explanation:
3/4 times 2 1/3 you make that an omproper fractions
(4n + 1) (2n + 6)
help please
Answer:
8n^2 + 26n + 6
Step-by-step explanation:
(4n + 1) (2n + 6)
8n^2 + 2n + 24n + 6
8n^2 + 26n + 6
Hopefully this helped!
Brainliest please?
help me slove this problem
The answer is D. (-160)÷8
The answer can t be a decimal therefore a and c are out. The answer has to be negative bc it was a lost. Therefore since -160 was a loss it has to be negative
Answer:
D
Step-by-step explanation:
Loss = -160
Shared between 8 owners.
So, (-160) ÷ 8
One hundred must be raised to what be equal to a million cubed
Answer:
100^9
Step-by-step explanation:
100 to the 9th power because 100^3 equals 1 million. think of it as (100^3)^3
Question is in the picture. Help ASAP
Answer:
we cant see the picture
Step-by-step explanation:
O A. All real numbers
O B. y> 0
O c. y> 4
O D. y>4
Answer:
A
Step-by-step explanation:
cause an exponent and be any number
What’s the rise over run pleas???
9514 1404 393
Answer:
-1/5
Step-by-step explanation:
To find the ratio of rise to run on a graph, it is convenient to start by looking for points where the graph crosses the intersection of grid lines. This lets you read the exact coordinates of the points, without any guessing.
In the attachment, the grid crossings we chose are circled.
The "rise" is the vertical distance between the points. If the right point is lower, the "rise" is negative.
The "run" is the horizontal distance between the points.
The reason for choosing grid crossings is that it then becomes fairly easy to count the grid lines between the points, vertically and horizontally.
On this graph, the "rise" is -1 for a "run" of 5. Then the slope, or ratio of rise to run, is ...
m = rise/run = -1/5 . . . . . . slope of the line
f(x)=2x^2-3x+7 evaluate f(-2)
Answer:
Step-by-step explanation:
Find two linear functions p(x) and q(x) such that (p (f(q(x)))) (x) = x^2 for any x is a member of R?
Let p(x)=kpx+dp and q(x)=kqx+dq than
f(q(x))=−2(kqx+dq)2+3(kqx+dq)−7=−2(kqx)2−4kqx−2d2q+3kqx+3dq−7=−2(kqx)2−kqx−2d2q+3dq−7
p(f(q(x))=−2kp(kqx)2−kpkqx−2kpd2p+3kpdq−7
(p(f(q(x)))(x)=−2kpk2qx3−kpkqx2−x(2kpd2p−3kpdq+7)
So you want:
−2kpk2q=0
and
kpkq=−1
and
2kpd2p−3kpdq+7=0
Now I amfraid this doesn’t work as −2kpk2q=0 that either kp or kq is zero but than their product can’t be anything but 0 not −1 .
Answer: there are no such linear functions.
Noah has a box of coins in his room. The box currently
contains 40 coins, consisting of pennies, dimes, and
quarters. The number of pennies is equal to the
number of dimes, and the total value of the coins is
$8.05. How many of each type of coin does Noah have
in the box?
The currency called the dollar can be divided or reduced into smaller forms also known as pennies, quarters, nickels and dimes.
The number of pennies is 5, the number of dimes is 5, the number of quarters is 30.
It is important to note that
a penny = $0.01
a dime = $0.10
a quarter = $0.25
Let's represent the number of
pennies = p
dimes = d
quarters = q
The number of pennies is equal to the number of dimes, hence:
p = q, so we can represent the number of pennies and dimes as y
The box currently contains 40 coins
So: 40 = y + y + q
q = 40 - 2y...........Equation 1
The total value of the coins is $8.05
So: 0.01y + 0.1y + 0.25q = 8.05 ........... Equation 2
We substitute 40 - 2y for q in Equation 2
0.01y + 0.1y + 0.25(40 - 2y) = 8.05
0.01y + 0.1y + 10 - 0.5y = 8.05
Collect like terms
0.01y + 0.1y - 0.5y = 8.05 - 10
-0.39y = -1.95
Divide both sides by -0.39
-0.39y/-0.39 = -1.95/0.39
y = 5
Since y represents the number of pennies and dimes, the number of pennies is 5 and the number of quarters is 5.
To solve for the number quarters, we would use equation 1
q = 40 - 2y...........Equation 1
q = 40 - 2 x 5
q = 40 - 10
q = 30
The number of quarters is 30.
Therefore, we have 5 pennies, 5 dimes, and 30 quarters.
To learn more, visit the link below:
https://brainly.com/question/17573861
Anybody good in math ?
Answer:
[tex]y=-0.3(x-2)^2+2[/tex]
Step-by-step explanation:
We know that the parabola faces downard, and hence must have a negative first term, so that eliminates the first and third options.
The vertex of the parabola has an x-value of 2, so it must be of the form [tex]a(x-3)^2+c[/tex].
Combining these, we have that the answer is [tex]\boxed{y=-0.3(x-2)^2+2}[/tex]