Answer:
check explanation
Step-by-step explanation:
in eqn 2,
y = 3 - 2x
substitute for it in eqn 1
3x² + y² = 20
3x² + (3 - 2x)² = 20
3x² + 9 - 12x + 4x² = 20
Group like terms;
3x² + 4x² - 12x = 20 -9
7x² - 12x = 11
x(7x - 12) = 11
x = 11,
OR
7x - 12 = 11
7x = 11 + 12
7x = 23
x = 23/7
x = 3.286
To get y, substitute for x in eqn 2
WHEN x = 11,
y = 3 - 2(11)
y = 3 - 22
y = -19
WHEN x = 3.286
y = 3 - 2(3.386)
y = -3.772
pls ans this q/a pls fast...
plssszzzz
Answer:
[tex]x = - \frac{5}{22} [/tex]
Step-by-step explanation:
[tex]4 - \frac{2(x - 4)}{3} = \frac{3(2x + 5)}{2} [/tex]
➡️ [tex] 4x - \frac{2x - 8}{3} = \frac{6x + 15}{2} [/tex]
[tex] ➡️ 24 - 2(2x - 8) = 3(6x + 15)[/tex]
[tex] ➡️ 24 - 4x + 16 = 18x + 45[/tex]
[tex] ➡️ 40 - 4x = 18x + 45[/tex]
[tex] ➡️ - 4x - 18x = 45 - 40[/tex]
[tex] ➡️ - 22x = 5[/tex]
➡️ [tex] x = - \frac{5}{22} [/tex]
On the real number line, point E is at –18 and point F is at –9. What is the distance between point E and point F ?
Answer:
-9
Step-by-step explanation:
5. Esther has 90 mangoes. If she sells a third of the mangoes how many mangoes does she sell?
Answer:
30 Mangoes
Step-by-step explanation:
30 is 1/3 of 90.
Answer: Esther has sold 30 mangoes
Step-by-step explanation:
An easy way to solve is dividing 90 by 3
dy/dx y = 3root(4x+1) -2x
Answer:
Step-by-step explanation:
y = 3(4x + 1)^1/2 - 2x
dy/dx = 3*1/2(4x + 1)^-1/2 * 4 - 2
= 4 * 1.5 (4x + 1)^-1/2 - 2
= 6(4x + 1)^-1/2 - 2
= [6/√(4x + 1)] - 2
y = 3(4x + 1)^1/2 - 2x
∫3(4x + 1)^1/2 - 2x . dx
= 3 * 1/4 * (4x + 1)^3/2 / 3/2 - x^2 + C
= 3/4 * 2/3 (4x + 1)^3/2 - x^2 + C
= 1/2((4x + 1)^3/2 - 2x^2) + C.
Answer:
Step-by-step explanation:
[tex]y=3*\sqrt{4x+1} -2x\\\\y'=\dfrac{dy}{dx} =\dfrac{3}{2*\sqrt{4x+1} } -2\\\\\\\int {(3*\sqrt{4x+1} -2x}) \, dx \\\\=\dfrac{3}{4} *\int {4*(4x+1)}^{\frac{1}{2}} \, dx -2\int {x} \, dx \\\\=\dfrac{-3}{4}*\sqrt{(4x+1)^3} *\dfrac{2}{3} }-x^2+C\\\\=\dfrac{\sqrt{(4x+1)^3}}{2} -x^2+C[/tex]
Which of the following objects can best represent a PLANE?
A intersection of walls
B corner of a door
C point of a pen
D the ceiling
What numbers are 3 units from -2 on a number line?
A number line ranging from negative 10 to positive 10
Select from the drop-down menus to correctly complete the statements.
Answer:
1 is 3 units from -2 on a number line.
-5 is 3 units from -2 on a number line.
Step-by-step explanation:
Can Anyone answer the (i) and (ii) Question? I will mark you as Brainlist ☺️.
Jacob is making fruit punch in a pitcher. He mixes 32 ounces of orange juice and 26 ounces of pineapple Julce. Then, he fills as many cups as he can
with 5 ounces of fruit punch in each cup.
How many ounces of fruit punch are left in the pitcher? Enter the answer in the box.
Answer:
3
Step-by-step explanation:
Need help as soon as possible pls!!!!!
Answer:
probability
Step-by-step explanation:
do some division to calculate the probality of landing on a blue 1/3 and add up the numbers.
A sample is taken from all students in the art department. Students who wear
glasses are excluded. What is this an example of?
A. Selection bias
B. Nonselection bias
C. Nonresponse bias
D. Response bias
SUBMIT
Answer:
A. Selection Bias
Step-by-step explanation:
Selection bias is the bias introduced by the selection of individuals, groups, or data for analysis in such a way that proper randomization is not achieved, thereby ensuring that the sample obtained is not representative of the population intended to be analyzed. This is represented by choosing the students without glasses.
Answer:
selection bias
Step-by-step explanation:
i got it right
Solve the system by the elimination method *
2x – 3y = 12
2x + y = 4
Answer:
4
Step-by-step explanation:
how many days altogether in the first four months of 1998
Answer:
120 days
Step-by-step explanation:
There are 31 days in January, 28 in February (this was not a leap year), 31 in March and 30 in April. All you have to do now is add 31 + 28 + 31 + 30 for a final answer of 120 days!
Answer:
120
Step-by-step explanation:
January: 31
February: 28
March: 31
April: 30
31+28+31+30=120
can someone please answer this for me -11p + 11p
Answer:
ooouuhhggg
Step-by-step explanation:
iiiiijhhhjjjhhjjjnnnnnnjjj
Answer:
0
Step-by-step explanation:
-11p + 11p
=> 0
Please Explain Step By Step
Answer:
its hard i don't know
Step-by-step explanation:
very bad
very very bad
very much bad
bad
Which fraction is equal to 0.98
The most simplified version of it is 49/50
Answer:
98/100
Step-by-step explanation:
The number after the decimal is the tenths place. And the second number after the decimal is in the hundredths place. And so on...
So .98 would be in the hundredths place making it 98/100.
If you want to simplify it even more, you would make it 49/50.
Hope that helped : )
urgent answer needed pls
Answer:
pi*z^2*a or "pizza"
Step-by-step explanation:
The dimensions given describe a cylinder, for which the basic volume formula would be base x height.
The base would be a circle, with the radius z as given while the height is a.
The formula for the area of a circle is pi * r^2, and our radius is z, so the area of a circle with radius z is pi * z^2.
Now, all we need to do is multiply by the height, a. This gives us a volume of pi* z^2 *a
Side note:
z^2 can be written as zz, so the actual area of the pizza could be represented by "pizza".
There are two different paths Kate can take to school. One path is to kilometer
long. The other path is kilometer long.
100
Compare the lengths of the paths using <, =, or >
80
Answer:
The answer is 80/100 i think
Step-by-step explanation:
Because i was taught to always go with the greater number. Hope you don't get confused and good luck!!!
Reflect the line segment across the x-axis. Then, rotate it 90° clockwise. Finally,
translate it down 2 units. What is the relationship between the original line segment and the transformed line segment? If you
transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?
The area of a square garden is 203 square feet. Estimate the side length of the garden.
its one of these
17 ft
16ft
14 ft
12ft
What is 1.83333333333 as a fraction?
Answer:
1 83/99
Step-by-step explanation:
This is how u do it
Answer:
[tex]\frac{183333333333}{100000000000}[/tex]
Step-by-step explanation:
1.83333333333 as fraction
we need to divide the fraction by the number of digits it have before decimal point to convert it to fraction
here we have 11 digits before decimal point so we need to divide it by 100000000000
so
[tex]\frac{183333333333}{100000000000}[/tex]
5x^2 - x + 9 when x = -5
Answer:
139
Step-by-step explanation:
If x=-5
then
5*-5^2-(-5)+9
5*25+5+9
139
Answer: 139
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given information
5x² - x + 9
x = -5
Substitute value into the expression
=5(-5)² - (-5) + 9
Simplify exponents
=5 (25) + 5 + 9
Simplify by multiplication
=125 + 5 +9
Simplify by addition
=[tex]\boxed {139}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Someone plzzz help me wit question
Answer:
x = 70
Step-by-step explanation:
To find the value of x we need to
we know that the figure is an isosceles triangle so the base angles will be equal
we also know that angle sum of triangle is 180
so
40 + x + x = 180
40 + 2x = 180
2x = 180 - 40
2x = 140
x = 140/2
x = 70
El secreto de Daniel es un número par menor que 10 pero mayor que 6 cuál es este número misterioso
Answer:
hbjzX cjlhzBiuwHEHFIU
Step-by-step explanation:
ISDUABLDKJHSABJHSDFABVHBFDAPIUVFHEPIUAHOIsdcasdkjbvihdfabihabydsih
Hello! Any help is appreciated (:
Y = x+1
Udbzjsjdbejdjjejejejdjejejejsjdjdjdjdjejejekieeu
Answer:
y = x + 1
Step-by-step explanation:
As x increases, y increases by 1. Therefore, the slope is 1. If we set x to 0, that'll make y equal 1. Therefore, the y-intercept is 1.
write 0.800 in simplest fraction form
8/10 is the answer :)
Answer:
8/10=4/5 ans=4/5
Step-by-step explanation:
0.8x100%
0.8x100/100=80/100
=8/10=4/5
Zeke goes to a skate shop with his friend Tristan. Tristan buys a helmet that costs $28.75. Zeke finds a helmet that is
3
5
of the cost of Tristan's helmet. If Zeke gives the cashier a $20 bill, how much change will he receive?
Answer:
Zeke will receive $2.75.
Step-by-step explanation:
Helmet cost: (3/5) x 28.75 = $17.25
Gives = $20
20 - 17.25 = 2.75
Original question:
Zeke goes to a skate shop with his friend Tristan. Tristan buys a helmet that costs $28.75. Zeke finds a helmet that is (3/5) of the cost of Tristan's helmet. If Zeke gives the cashier a $20 bill, how much change will he receive?
I need help with Shape equation puzzle 2 it’s due tomorrow
Hey there! I'm happy to help!
First of all, I would guide you to decipher clue 2 first. It is the only one that has just one shape, so then we can find the value of that shape.
To find what this circle is, we just divide 12 by three to see what 3 times the circle is!
12÷3=4
CIRCLE=4
-----------------------------------------------------------------
Now, let's look at clue one. This one only has two shapes, and it has the circle, which we already know.
We know that our circle is 4, so 5 circles will be 20.
This means that the diamond plus two will be 20, so let's just subtract 2 from 20!
20-2=18
DIAMOND=18
-----------------------------------------------------------------
Finally, let's look at the third one. This one is the trickiest. Two circles is eight, and that is going to be equal to our diamond (eighteen) and two triangles.
How is that going to work?
The triangles make us go backwards! Otherwise known as negative numbers!
To get from eighteen to eight, we have to go back ten. Ten is going to be made up of two triangles, so we just divide ten by two so each triangle gets an equal amount.
10÷2=5
TRIANGLE=5
-----------------------------------------------------------------
Have a wonderful day and keep on learning! :D
An equation is formed of two equal expressions. The value of the Circle, Diamond, and the triangle is 4, 18, and -5, respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the circle be represented by C, the diamond be represented by D, and the triangle be represented by T.
Now, the clues can be rewritten as,
D + 2 = 5(C)
3(C) = 12
2(C) = D + 2(T)
Since the second clue has only one variable C, let's solve it first,
3(C) = 12
C = 12 / 3
C = 4
Further, the first clue has two variables C and D, and the value of C is already known, therefore, solve it second.
D + 2 = 5(C)
D + 2 = 5(4)
D + 2 = 20
D = 20 - 2
D = 18
Furthermore, by solving the last Clue we will get,
2(C) = D + 2(T)
Substitute the known values,
2(4) = 18 + 2(T)
8 = 18 + 2T
8 - 18 = 2T
-10 = 2T
T = -5
Hence, the value of the Circle, Diamond, and the triangle is 4, 18, and -5, respectively.
Learn more about Equation here:
https://brainly.com/question/14686792
#SPJ2
You deposit $300 into a savings account that is compounded annually. The function g(x) = 300(1.04)x can be used to find the amount of money in the savings account after x years. What is the constant percent rate of change?
Answer:
This is a simple interest, as the amount earned each year is constant
Step-by-step explanation:
Using compound interest, it is found that the constant percent rate of change is of 4%.
--------------------
The formula for an amount of money invested into compound interest is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which:
A(t) is the amount after t years.A(0) is the initial amount.r is the constant percent rate of change.t is the time.--------------------
The function is:
[tex]g(x) = 300(1.04)^x[/tex]
Thus, for the constant percent rate of change:
[tex]1 + r = 1.04[/tex]
[tex]r = 1.04 - 1 = 0.04[/tex]
[tex]0.04 \times 100\% = 4\%[/tex]
The constant percent rate of change is of 4%.
A similar problem is given at https://brainly.com/question/3044643
Need help with 7 I don’t get it
A goat is grazing outside of a rectangular barn that has dimensions 20 ft by 30 ft.
He's tied to a corner of the barn with a 12 ft rope. Find the grazing area of the goat.
Answer:
108π ft² or 339.29 ft²Step-by-step explanation:
Refer to attached picture.
The grazing area of the goat is 3/4 of area of circle with 12 ft radius:
A = 3/4(πr²) = 3/4(π*12²) = 108π or 339.29 ft²Tied to the corner
Means 1part among 4parts of circle or a quarter area
So grazing field
πr²-1/4πr²3/4πr²3/4(12)²π3/4(144)π108π339.3ft²