LOT OF POINTS
approximate the solutions to this system.
y = 3x2 + x − 6
y = x − 4
Round your answers to the nearest hundredth.
Answer:
[tex] \displaystyle ( x_{1},y_{1}) = (0.82, - 3.18) \\ ( x_{2},y_{2}) = ( - 0.82, - 4.82)[/tex]
Step-by-step explanation:
we are given a system of quadratic and linear equation
we want to figure out x and y
in other words the coordinates where the linear function intercept quadrilateral function
to do so
you can use substitution method
since y equals to both equation so substitute:
[tex] \displaystyle {3x}^{2} + x - 6 = x - 4[/tex]
move right hand side expression to left hand side and change its sign so there's only 0 left on the left hand side:
[tex] \displaystyle {3x}^{2} + x - 6 - x + 4= 0[/tex]
simplify addition:
[tex] \displaystyle {3x}^{2} -2=0[/tex]
add 2 to both sides:
[tex] \displaystyle {3x}^{2} = 2[/tex]
divide both sides by 3
[tex] \displaystyle \frac{ {3x}^{2} }{3} = \frac{2}{3} [/tex]
[tex] \displaystyle {x}^{2} = \frac{2}{3} [/tex]
square root both sides:
[tex] \displaystyle {x} = \sqrt{\frac{2}{3} } \\ x = \frac{ \sqrt{2} }{ \sqrt{3} } [/tex]
rationalise the denominator by multiplying √3/√3:
[tex] \displaystyle x = \pm\frac{ \sqrt{6} }{3} = \pm0.82[/tex]
now let's figure out y
substitute the value of x to the linear equation:
[tex]y = \pm0.82 - 4[/tex]
when positive
[tex]y = - 3.18[/tex]
when negative
[tex]y = - 4.82[/tex]
Answer:
(x1,y1) = (0.82, - 3.18)
(x2,y2) = (-0.82, -4.82)
Step-by-step explanation:
Plato gang
PLEASE HELP ME THANKS IF U DO (gets reported if link)
Answer:
5
Step-by-step explanation:
49/9 = 5
Rewrite without absolute value for the given conditions: y =|x −3|+|x +2|−|x −5|, if x >5
9514 1404 393
Answer:
y = x + 4
Step-by-step explanation:
For x > 5, the expressions in each absolute value argument are all positive, so we can simply remove the bars and sum the terms.
y = x - 3 + x + 2 - x + 5
y = x +4
A trapezoid has a median measuring 24 units. Its area is 96 square units. The height of the trapezoid has a length
Answer:
don't click or open people links here they are people trying to get info off of you for their benefits or trying to give you viruses. report them.
The height of the trapezoid has a length of 4 units
Calculating the sides of a trapeziumFrom the question, we are to determine the height of the trapezoid
The area of a trapezoid can be calculated by the formula,
[tex]A = \frac{1}{2}(a+b) h[/tex]
Where A is the area
a and b are the bases
and h is the height
The median of a trapezium is given by
[tex]\frac{1}{2} (a+b)[/tex]
From the given information,
A = 96 square units
[tex]\frac{1}{2}(a+b) = 24 \ units[/tex]
Putting the parameters into the formula,
96 = 24 × h
h = 96 ÷ 24
h = 4 units
Hence, the height of the trapezoid has a length of 4 units
Learn more on Calculating the sides of a trapezium here: https://brainly.com/question/369033
Help!! Ok give brainlest to the correct
Answer:
that looks like 50 degrees to me
Step-by-step explanation:
hope i helped have a great day!!!
easy algebra question below first correct answer gets brainliest, if you put a link i will report and block
Answer:
6x²
Step-by-step explanation:
3x×2x=6...... then an x²
Therefore answer is 6x²
Help please.........
At 6:00 the outside air temperature was 15°F. By 8:00 the temperature had dropped 9°F, and by 11:00 I had dropped another 12°. What was the temperature at 11:00?
Answer:
- 6°F
Step-by-step explanation:
Given :
Temperature at 6:00 = 15°F
Temperature dropped by 9°F by 8:00
Temperature by 8:00 = 15°F - 9°F = 6°F
Temperature dropped another 12°F by 11:00
Hence, Temperature at 11:00 will be :
6°F - 12°F = - 6°F
Temperature at 11:00 = - 6°F
just need answer please help
Answer:
41 ft
Step-by-step explanation:
We can start by first finding the area of the top square
3*3=9
then we can find the area of the bottom rectangle
4*8=32
then we can add them together
32+9=41
Can I have Brainliest please :)
Answer:
53 [tex]ft^2[/tex]
Step-by-step explanation:
We can find the area of the figure by adding the areas of the square and the rectangle.
Area of square:
3 x 3 = 9 squared ft
Area of rectangle:
4 x (8 + 3) = 4 x 11 = 44
Add the areas:
9 + 44 = 53
The area of the figure is 53 squared feet.
im totally NOT giving away points and this totally IS a real question so pls help (jkjk)
Answer:
Super Hyper Ultra Ultimate Deluxe Perfect Amazing Shining God 東方不敗 Master Ginga Victory Strong Cute Beautiful Galaxy Baby 無限 無敵 無双 senchou here, thank you for the points :D
Step-by-step explanation:
Please Help Me with this Question. I do not understand it.
Answer: 30
Step-by-step explanation:
the formula for the area of a triangle is base times height divided by 2
A=bh/2
the base in this triangle is 15 and the height is 4
(15)(4)/2
60/2
30
Stacys mom is baking treats
sir........you gucci?
If you were to roll two dice, how many different ways could you roll double fours?
Answer:
There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice
Step-by-step explanation:
A survey ask students who walk or ride a bike to school whether they live more than one mile from school.The results are shown in the table.Based in the results,which conclusion is best?
FIND THE ERROR!!!!!!!!
Answer:
the error is between steps 2 and 3. you cannot add 5x and 3. if a value has an x attached, then you can only add values that also have that variable attached. hopefully that made sense, lmk if you need more explaining :)
Step-by-step explanation:
Is this correct?-
Also please don’t just say “yes” or “no”-
Answer:
a) No
b) No
c) No
d) Yes
If a stack of 40 nickels fits snugly in the coin wrapper shown, how thick is 1 nickel? Round to the nearest hundredth.
Question:
If a stack of 40 nickels fits snugly in the coin wrapper shown, how thick is 1 nickel? Round to the nearest hundredth.
Coin wrapper volume = 27,480 mm^3
Coin diameter = 21.18 mm
Answer:
The thickness of a coin is: 1.95mm
Step-by-step explanation:
Given
[tex]V = 27480mm^3[/tex] -- volume
[tex]d = 21.88mm[/tex] --- the diameter
Required
The thickness of each coin
This implies that, we calculate the height of each coin.
First, calculate the radius (r) of the coin
[tex]r = \frac{1}{2}d[/tex]
[tex]r = \frac{1}{2} * 21.18mm[/tex]
[tex]r = 10.59mm[/tex]
The volume of the coin is calculated as:
[tex]V =\pi r^2H[/tex]
Where H represents the total heights of the 40 coins
[tex]27480 = 3.14 * 10.58^2 * H[/tex]
Solve for H
[tex]H = \frac{27480 }{ 3.14 * 10.58^2}[/tex]
[tex]H = \frac{27480 }{ 351.480296}[/tex]
[tex]H = 78.1836145944[/tex]
The height of a coin is calculated by dividing H by 40
[tex]h = \frac{78.1836145944}{40}[/tex]
[tex]h = 1.95459036486[/tex]
[tex]h \approx 1.95mm[/tex]
Hence, the thickness of a coin is: 1.95mm
Change this fraction into a decimal: 20/25
.8
.08
.008
.0008
Answer:
0.8
Step-by-step explanation:
20/25=80/100=0.8
Find 2 and 3 please explain how u got ur answer
On a coordinate plane, what are the center and radius of the circle represented by
(x+3)^2 + (y – 5)^2 = 25?
A. Center: (-3, 5); Radius: 25
B. Center: (3, -5); Radius: 25
C. Center: (3, -5); Radius: 5
D. Center: (-3, 5); Radius: 5
The answer is D.
Center is (-3, 5) and Radium is 5
You and your friend each have a canvas of the same size. You divide your canvas into 5 sections and paint 3 of them. Your friend divides her canvas into 7 sections and paints 4 of them. Who paints more?
The person who paints more is given by the inequality equation 3/5 > 4/7
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the number of canvas be 35 ( LCM of 5 and 7 )
Now , when you divide 35 into 5 sections and paints 3 of them ,
The fraction A = 3/5
And , when your friend divide 35 into 7 sections and paints 4 of them
The fraction B = 4/7
And , the inequality equation is A > B
Substituting the values in the equation , we get
3/5 > 4/7
Hence , the one who paints more is you with 3/5 of the canvas
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ2
My Classes
illi
MULTIPLE CHOICE QUESTION
What is the probability of rolling a 5 on a
die and tossing a coin and getting a
heads?
Answer:
1/12
Step-by-step explanation:
Find the surface area
Answer: 80ft squared
Step-by-step explanation: 18 * 4 + 8 = 80
Name that meme
-For 50 Points
An item that originally cost 50$ is marked down 20%. Find the new cost of the item after the discount
please help me with this one
Answer:
50.24
Step-by-step explanation:
a=(pi)r²
A =(pi)4²
A = 50.27
but I used the actual pi if you use 3.14 I think you'll get 50.24 but that's the closest answer.
Hope you get it right
a1 = -7 a18 = 3393 find d
Answer:
d = 200
Step by Step Explanation:
Hi there, please help:))
Answer:
1/4
Step-by-step explanation: Slope is Rise over run you go up one and over four, so the slope is 1/4
Six pounds of strawberries cost $11.94. Determine the unit rate and use it to find the price of eight pounds of strawberries
Kotaro is sitting 30 feet high in a football stadium. The angle of depression to the center of the field is 14 degrees. What is the horizontal distance between Kotaro and the center of the field? Round to the nearest foot.
Answer:
217 feet
Step-by-step explanation:
tan(14) = x/30
=> x = 30tan(14)
=> x = 217 feet
Answer:
x = 7
Step-by-step explanation:
tan(14) = x/30
x = (30)tan(14)
x=7