Answer:
x = 1 + i, x = 1 - i
Step-by-step explanation:
Make the second equation y = 3x - 1
Substitute: 3x - 1 = 1/2x^2 + 2x
Simplify: 6x - 2 = x^2 + 4x
x^2 + 4x + 2 = 6x
x^2 - 2x + 2 = 0
Complete the square: x^2 - 2x + 1 = - 1
(x - 1)^2 = -1
x - 1 = ± √-1
Take out the negative: x - 1 = ± i
x = 1 + i, x = 1 - i
i is for imaginary number
Answer: (0,-1) and (2,5) for the answers.
Step-by-step explanation:
Can someone please answer my question from my profile please thank you
If f(x) = x4 − x3 + x2 and g(x) = −x2, where x ≠ 0, what is (f ⁄g)(x)?
Answer:
-x² + x - 1
Step-by-step explanation:
(f/g)(x) means that you have to divide f(x) by g(x).
[tex]\frac{x^4-x^3+x^2}{-x^2}\\ -x^2+x-1[/tex]
When dividing exponents with the same base, you have to subtract the exponents to find the quotient.
When dividing with negatives, you have to switch the sign of the other number.
Part A:
A truck delivers 32 cases of soup to a store . Each case holds 8 cans of soupThe store manager plans to place 9 cans on each shelf. What is the fewest number of shelves the manager will need for all of the cans of soup delivered by the truck?
Part B:
The same truck delivers 9 cases of canned corn. Each case holds 36 cans of When the cases are unpacked 15 of the cans are missing. The store manager places 7 cans of corn on cach shelf. What is the fewest number of shelves the manager will need for all of the cans of corn delivered by the truck?
Write out the equations that represent Part A and Part B.
will mark as brainliest pls answer quick
Select each quadrilateral that has four congruent sides.
A) trapezoid
B) isosceles trapezoid
C) parallelogram
D) rhombus
E) rectangle
F) square
Answer:
D and F bc rhombi and squares have congruent sides
Explain why “Bending” is considered two complementary forces and not just one force. (Make sure to explain what 2 forces are involved, where they are involved and how they change the material as it bends)
srry this is science
Answer:
There are two forces involves because we need to use two points of application to bend something.Step-by-step explanation:
We know that "bending" means to force or shape something into a curve or certain angle.
Now, when we bend something we are actually using a pair of forces, not just one, because you can't bend using only one forces, that would imply using one hand which is impossible. Notice that you need to forces to be applied at different points in the same direction to create the curve, these forces must be applied a certain distance away from the equilibrium point which is between the points of application.
Therefore, there are two forces involves because we need to use two points of application to bend something.
Which expression is equivalent to g^5
A. 9 x 5
B. 5 x 5 5 x 5 5 x 5 5 x 5 x 5
C. 9 x 9 x 9 x 9 x 9
D. 9 x 9 x 9 x 9 x 9 x 5 x 5 5 x 5 5 x 5 5 x 5 x 5
Answer: c
Step-by-step explanation: 9*9*9*9*9
C. 9 x 9 x 9 x 9 x 9 is equivalent to 9⁵
Which expression is equivalent to given espression ?Exponential form : It is an easier way to write repeated multiplication of a number or variable using base(number or variable) and exponents.
Example : 6⁵ is the exponential form of 6×6×6×6×6 (i.e. 5times)
Here, given expression is 9⁵
So, in this expression, 9 multiplied 5 times, i.e. 9×9×9×9×9
Learn more about exponential form here :
https://brainly.com/question/14640920
#SPJ2
tony goes to the funfair and has one go at hoopla and one go on the darts the probability he wins hoopla is 0.3.
The probability he wis darts is 0.4
A)complate the tree diagram
B)work out the proberbility he wins both games
C)work out the probability he wins 1 of the 2 games
Answer:
b=0.12
c=0.46
Step-by-step explanation:
If 20x = 54 and 2.xy=
100, what is y?
Answer:
y=18.51
Step-by-step explanation:
First we must figure out the value of "x". We can do that in the first equation. To find the value of "x" you divide both sides by 20. That will give you the value of "x" which is 2.7. With this information, you can plug in that value into the second equation to get the value of "y". 2(2.7)(y)=100. Multiply 2 and 2.7 to get 5.4. Then divide 5.4 from both sides to get the value of "y" which is around 18.51. I hope this helped.
Which inequality represents the graph below?
y ≥ 3
y ≤ 3
y ≤ –3
x ≤ 3
Answer:
sorry i would have answered it but when i downloaded it ,they said i cant open the file.....do you mind snapping it and posting it
Which figure is shown?
prism
pyramid
cylinder
cone
Answer:
That is a cone.
Step-by-step explanation:
I don't think there will be an explanation needed, but remember a pyramid has to be either triangular or rectangular. A cylinder's two bases should be circles, but in this case there's only one.
Answer:
cone
Step-by-step explanation:
Simplify the expression.
O.O
Answer:
x raise to 6/7
Step-by-step explanation:
since the base of both the numbers on the numerator is same,
4/7 + 3/7 = 7/7
so, x raise to 7/7
then since the base is same for the numerator and denominator,
7/7-1/7= 6/7
so x raise to 6/7
Angles A and B together create a 90° angle. ∠A = 4x −10 and ∠B = 2x − 20. Find the angle measures (what will
Answer:
12 degrees
Step-by-step explanation:
Which graph of ordered pairs shows a proportional relationship?
On a coordinate plane, points (negative 1, 2) and (2, negative 1) are plotted.
On a coordinate plane, points (negative 2, negative 3) and (2, 3) are plotted.
On a coordinate plane, points (negative 2, negative 1) and (2, 3) are plotted.
On a coordinate plane, points (negative 1, 3) and (1, 1) are plotted.
Step-by-step explanation:
B I gotchu
Answer:
b
Step-by-step explanation:
what is 4/10 times 8/10???
Answer:
8/25
Step-by-step explanation:
We do this by multiplying the top first, and we get 32.
We then multiply the bottom, and get 100.
You might think the answer is 32/100.
Well, kind of! We need to simplify!
we divide the top and bottom by four to get our answer, 8/25.
-1/2x + 1/8 = -1/3x - i/4
Answer:
x= 4/9
Step-by-step explanation:
-1/(2x) + 1/8 = -1/(3x) - 1/4
-1/(2x)+1(3x)= - 1/4 -1/8
-3/(6x)+2(6x) = -2/8 -1/8
- 1/(6x) = - 3/8
-1*8 = -3*6x
8=18x
x= 8/18= 4/9
Check:
-1/(2*4/9) + 1/8 = -1/(3*4/9) - 1/4
- 1(8/9) + 1/8 = - 1/(4/3)-1/4
-9/8+1/8 = - 3/4-1/4
-1 = -1
Ms. Oliveda bought a grapefruit for .89c and three oranges. The total cost of the fruit was $2.15. How much did each orange cost?
I need urgent help plz
Answer:
c e
Step-by-step explanation:
Stacy buys a bagel assortment that has 6 oat bagels for every 2 blueberry bagels.
Naomi buys a bagel assortment that has 9 oat bagels for every 5 blueberry bagels.
Each girl bought 10 blueberry bagels.
Use the drop-down menus to explain how to use the ratio tables to find the number of oat bagels that each girl bought.
Answer:
Stacy bought 30 oat bagels and Naomi bought 18 oat bagels. You set up the proportions of oat bagels to blueberry bagels, find the constant of proportionality, and apply it to the ratio.
Step-by-step explanation:
Stacy:
O:B
6:2
x:10
30:10
Naomi:
O:B
9:5
x:10
18:10
I WILL GIVE BRAINLEST PLS HELP ASAP
Answer:
d
Step-by-step explanation:
it rules out some people, so it is unfair and biased.
Answer:
D
Step-by-step explanation:
Which of these shapes is congruent to the given shape?
Answer:
THis man confused yall the answr id D
Step-by-step explanation:
The shape which is congruent to the given shape is shape D.
What are Congruent Figures?Congruent figures are defined as the figures which are exact copies of each other.
That is, the dimensions and angles are equal.
Here given a shape which is in the shape of a parallelogram.
Options A and C are not congruent figures since they are not even a parallelogram.
Option B is a parallelogram which can be clearly seen that there is more width.
Option E is also not the one since it is smaller in size.
The congruent figure is thus, option D.
Hence the correct option is D.
Learn more about Congruent Figures here :
https://brainly.com/question/20368229
#SPJ7
The complete question is given below.
solve the quadratic equation (2x-3)^2 = 6(3-2x)
Answer:
[tex]x=\frac{3\sqrt{2}-3 }{2}[/tex]
[tex]x=-\frac{3\sqrt{2}-3 }{2}[/tex]
Step-by-step explanation:
Open the brackets first:
[tex]4x^2+9=18-12x[/tex]
Simplify:
[tex]4x^2+12x-9=0[/tex]
It is determined that this can't be factored, so rewrite the equation so you can complete the square.
[tex]x^2+3x=\frac{9}{4}[/tex]
Take the square of 1.5 and add it to both sides:
[tex]x^2 + 3x+ \frac{9}{4} =\frac{9}4} +\frac{9}{4}[/tex]
Factor:
[tex](x+\frac{3}{2})^2=\frac{9}{2}[/tex]
[tex]x+\frac{3}{2} = \frac{3\sqrt{2} }{2 }[/tex]
or [tex]x+\frac{3}{2} =-\frac{3\sqrt{2} }{2}[/tex]
So [tex]x=\frac{3\sqrt{2}-3 }{2}[/tex]
or [tex]x=-\frac{3\sqrt{2}-3 }{2}[/tex]
What is the measure of
Answer:
145 degrees
Step-by-step explanation:
180-35 = 145
Draw a mapping diagram of the set of ordered pairs.
(2,3) (3,5) (4,1) 5,2)
Whoever helps I will brainliest you
Answer:
Step-by-step explanation:
10. for the following questions, use the system of equations 3x+2y=14 2x-4y=4
Answer:
x = 4 and y = 1
Step-by-step explanation:
3x+2y=14
2x-4y=4
We can solve them by canceling out one variable so we only have one variable left. Let's cancel out y by doubling the first equation. We get:
6x + 4y = 28
add that on to the second one and we get:
8x = 32
x = 4
We plug in x and get that:
y = 1
So in the end we get
x = 4 and y = 1
A farmer has 20 boxes of eggs
There are 6 eggs in each box
Write as a ratio the number of eggs in two boxes to the total number of eggs
Give your answer in its simplest form
Chelsea played her tuba from 4:25 to 5:07 how long did Chelsea play her tuba?
Answer:
The correct answer is 42 minutes
Step-by-step explanation:
4:25 to 5:00 is 35 mins
add 7 = 42mins
A forest ranger is on a lookout tower in a forest. His observation tower is 214.7 feet above the
ground when he spots an illegal forest fire. The angle of elevation from the fire to the top of
the lookout is 78 degrees. Find the distance between the base of the tower and the fire. Round
your answer to the nearest tenth (you do not have to include units in you answer)
Let x represent distance between the base of the tower and the fire.
We have been given that a forest forest ranger is on a lookout tower in a forest. His observation tower is 214.7 feet above the ground when he spots an illegal forest fire. The angle of elevation from the fire to the top of the lookout is 78 degrees.
To find the distance between the base of the tower and the fire, we will use trigonometric ratio.
First of all, we will draw a right triangle using our given information as shown in the attached image.
We can see that x is adjacent side and 214.7 is opposite side to angle 78 of degrees.
[tex]\tan=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
[tex]\tan(78^{\circ})=\frac{214.7}{x}[/tex]
[tex]x=\frac{214.7}{\tan(78^{\circ})}[/tex]
[tex]x=\frac{214.7}{4.704630109478}[/tex]
[tex]x=45.63589379[/tex]
Upon rounding to nearest tenth, we will get:
[tex]x\approx 45.6[/tex]
Therefore, the distance between the base of the tower and the fire is approximately 45.6 feet.
35 degrees - 45 degrees
Answer:
-10 degrees
Step-by-step explanation:
how do you find a probability
Answer:
Step-by-step explanation:
Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring.
A parallelogram has an area of 34.75 square centimeters. If its height is 5 cm, find the
base.
2.5 cm
13.9 cm
6.95 cm
16.25 cm
Answer:
6.95 cm
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the height )
Here A = 34.75 and h = 5, thus
34.75 = 5b ( divide both sides by 5 )
b = 6.95 cm
Four circles are drawn in a square with side length 5 as shown below.
Find the area of the shaded part.
Answer:
Area of Shaded Region; 6.25π square inches
Step-by-step explanation:
See attachment below;