2 -[tex]\sqrt{3}[/tex]
♥step by step♥7-4[tex]\sqrt{3}[/tex]
=7-2[tex]\sqrt{2x3}[/tex]
=7-2[tex]\sqrt{12}[/tex]
=([tex]\sqrt{3}[/tex])² - 2[tex]\sqrt{3x4}[/tex] + ([tex]\sqrt{4}[/tex] )
=( - [tex]\sqrt{3}[/tex] + [tex]\sqrt{4}[/tex])²
∴[tex]\sqrt{7-4}[/tex] [tex]\sqrt{3=2}[/tex] - [tex]\sqrt{3}[/tex]
♥plz give me brain list it would really help a lot! ♥
♥ お力になれて、嬉しいです！♥Write the equation of the quadratic function whose graph passes through [tex](-3,2)[/tex], [tex](-1,0)[/tex], and [tex](1,6)[/tex].
Answer:
[tex]f(x)=x^2+3x+2[/tex]
Step-by-step explanation:
We want to write the equation of a quadratic whose graph passes through (-3, 2), (-1, 0), and (1, 6).
Remember that the standard quadratic function is given by:
[tex]f(x)=ax^2+bx+c[/tex]
Since it passes through the point (-3, 2). This means that when [tex]x=-3[/tex], [tex]f(x)=f(-3)=2[/tex]. Hence:
[tex]f(-3)=2=a(-3)^2+b(-3)+c[/tex]
Simplify:
[tex]2=9a-3b+c[/tex]
Perform the same computations for the coordinates (-1, 0) and (1, 6). Therefore:
[tex]0=a(-1)^2+b(-1)+c \\ \\0=a-b+c[/tex]
And for (1, 6):
[tex]6=a(1)^2+b(1)+c\\\\ 6=a+b+c[/tex]
So, we have a triple system of equations:
[tex]\left\{ \begin{array}{ll} 2=9a-3b+c &\\ 0=a-b+c \\6=a+b+c \end{array} \right.[/tex]
We can solve this using elimination.
Notice that the b term in Equation 2 and 3 are opposites. Hence, let's add them together. This yields:
[tex](0+6)=(a+a)+(-b+b)+(c+c)[/tex]
Compute:
[tex]6=2a+2c[/tex]
Let's divide both sides by 2:
[tex]3=a+c[/tex]
Now, let's eliminate b again but we will use Equation 1 and 2.
Notice that if we multiply Equation 2 by -3, then the b terms will be opposites. So:
[tex]-3(0)=-3(a-b+c)[/tex]
Multiply:
[tex]0=-3a+3b-3c[/tex]
Add this to Equation 1:
[tex](0+2)=(9a-3a)+(-3b+3b)+(c-3c)[/tex]
Compute:
[tex]2=6a-2c[/tex]
Again, we can divide both sides by 2:
[tex]1=3a-c[/tex]
So, we know have two equations with only two variables:
[tex]3=a+c\text{ and } 1=3a-c[/tex]
We can solve for a using elimination since the c term are opposites of each other. Add the two equations together:
[tex](3+1)=(a+3a)+(c-c)[/tex]
Compute:
[tex]4=4a[/tex]
Solve for a:
[tex]a=1[/tex]
So, the value of a is 1.
Using either of the two equations, we can now find c. Let's use the first one. Hence:
[tex]3=a+c[/tex]
Substitute 1 for a and solve for c:
[tex]\begin{aligned} c+(1)&=3 \\c&=2 \end{aligned}[/tex]
So, the value of c is 2.
Finally, using any of the three original equations, solve for b:
We can use Equation 3. Hence:
[tex]6=a+b+c[/tex]
Substitute in known values and solve for b:
[tex]6=(1)+b+(2)\\\\6=3+b\\\\b=3[/tex]
Therefore, a=1, b=3, and c=2.
Hence, our quadratic function is:
[tex]f(x)=x^2+3x+2[/tex]
what is the cube root of -27
Answer:
-3
Step-by-step explanation:
[tex]\sqrt[3]{-27}[/tex] is -3 and can be proven by doing [tex]-3^{3}[/tex] as -3 x -3 x -3 of itself will give you -27, as [tex]\sqrt[3]{-27}[/tex] is just -27/-3/-3
Fraction 3•5 • fraction 4•9 =
Answer:
Step-by-step explanation:
3.5×4.9
=35/10×49/10
=1715/100
Or 17.15 answer
Answer:
Step-by-step explanation:
3/5 times 4/9. multiply straight across. 3 times 4 is 12. 5 times 9 is 45. your answer is 12/45. but this answer can be simplified if we take out a 3 for each one. so you have 4/15
1l) HAO WENT TO A HOBBY SHOP AND SAW A DISPLAY OF TOY TRAINS. THE SIGN IN FRONT OF
THE DISPLAY SAID THAT THE TOY TRAINS WERE A REPLICA OF THE LONG ISLAND RAILROAD
TRAINS. HAO ESTIMATED THAT ONE OF THE RAILROAD CARS WAS APPROXIMATELY 15
INCHES LONG AND 4 INCHES WIDE. THE SIGN IN FRONT OF THE DISPLAY STATED
"SCALE- 2 /9".
WHAT IS THE LENGTH OF THE RAILROAD CAR ON HE LONG ISLAND RAILROAD?
WHAT IS THE WIDTH OF THE LONG ISLAND RAILROAD CAR?
Answer:
Length = [tex]57.5\ \text{inches}[/tex]
Width = [tex]18\ \text{inches}[/tex]
Step-by-step explanation:
The scale of the toy train is [tex]\dfrac{2}{9}[/tex]
So, the dimensions of the toy train is [tex]\dfrac{2}{9}[/tex] times the actual dimensions of the train.
The dimensions of actual train is [tex]\dfrac{1}{\frac{2}{9}}=\frac{9}{2}[/tex] times the toy train's dimensions.
Length
[tex]15\times \dfrac{9}{2}=57.5\ \text{inches}[/tex]
Width
[tex]4\times \dfrac{9}{2}=18\ \text{inches}[/tex]
The length of the railroad car on the long island railroad is 57.5 inches.
The width of the railroad car on the long island railroad is 18 inches.
Find the measure of angles 1,2 and 3
Answer:
1-75 2-105 3-35
Step-by-step explanation:
1- 180-75-30=75
2- 180-75=105
3- 180-105-40=35
what is the y-intercept of this table? i dont understand it please help thank you.
Answer:
-0.4
Step-by-step explanation:
you just take 2 of them to find it
Solve 4q = 52
Q=
Which statement shows the correct justification for the step used to solve the equation
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]4q = 52[/tex]
Divide sides by 4
[tex] \frac{4q}{4} = \frac{52}{4} \\ [/tex]
Simplification
[tex]q = 13[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Trisha uses 3 cups of sugar for every 4 cups of flour to make a batch of cookies. Which equation could be used to solve x, the number of cups of flour needed for 9 cups of sugar.
Answer: The number of cups of flour needed for 9 cups of sugar = 12.
Step-by-step explanation:
Equation of direct proportion between two quantities x and y :
[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
Let x= the number of cups of flour needed for 9 cups of sugar.
Put [tex]x_1=4,\ y_1=3,\ y_2=9, x_2=x[/tex]
[tex]\dfrac{4}{3}=\dfrac{x}{9}\\\\\Rightarrow\ x=\dfrac{9\times4}{3}\\\\\Rightarrow\ x=12[/tex]
Hence, the number of cups of flour needed for 9 cups of sugar = 12.
This is really confusing i need help if you get this right i will give you brainliest
Okie B or D
Maybe C
OK ok ok ok ok ignore that it's probably B? orC
okie nevermind there's lots of bullies and no one even know's I'm autistic people, okie baiiiii
Answer: I don't think the answer is B. -3/5+(-2/8)-4=-5 because B. -3/5+(-2/8)-4 A. (-40)+(-30)+28=-42, C. 130+70+(-37)=163, D. 40+(-58)+160=142. I think A. (-40)+(-30)+28=-42
PLEASE HELP ILL GIVE BRAINLIEST!
Answer: Image #1: C. Distributuve Property Image #2: A. n + 2(7)
Step-by-step explanation: For Image #1, they used the Distributive Property because the number 3 was (distributed) and multiplied to both x and 7. The equation is saying that 3x + 21 = 42, and that we’re trying to solve for x. For Image #2, the answer is A. n + 2(7) because after you solve the expression, the answer would be 14n. When you look at the four options, (A. B. C. D.), letter A. would be the answer because it equals to 14n.
04.01 mc y-2x=-1 and 2y-x=4 choose the correct graph of the given systems of equations
Answer:
1st one m=0
y= 0.49875311x / cm
No horizonal asymptotes
x= 1/2 + 2.005 mcy
2nd one is
slope 1/2
y intercept (0,2)
x y
-4 0
0 2
Step-by-step explanation:
for 2
starting point ay y 2 make a point
then rise over run
go up 1 and to the right 2 and point , then up 1 and to the right 2 and point
there is your graph
Is there a triangle whose angles have these measures in degrees?
A) Yes
B) No
Answer:
No
Step-by-step explanation:
The sum of all internal angles on a triangle must equal 180°
[tex]28 + 64 + 100 = 192[/tex]
Subtract 2.53 x 105 from 1.3 x 108
Answer:
125.2 is your answer dear
Answer:
Step-by-step explanation:
2.53 x 105 is 265.65
1.3 x 108 is 140.4
now, Subtract 2.53 x 105 from 1.3 x 108
140.4 - 265.65
= -125.25
Hope this helps
plz mark as brainliest!!!!!!
Melanie deposits $8200 in a bank account paying 4.4% simple interest. How much money will be in her account after 5 years and 6 months?
Answer:
8200+1894.40 = $10,094.40
Step-by-step explanation:
The formula we'll use for this is the simple interest formula, or:
I = P x r x t
Where:
P is the principal amount, $8200.00.
r is the interest rate, 4.4% per year, or in decimal form, 4.4/100=0.044.
t is the time involved, 5.5....year(s) time periods.
So, t is 5.5....year time periods.
To find the simple interest, we multiply 8200 × 0.044 × 5.5 to get that:
The interest is: $1984.40 + add to Investment ($8000) and you'll get the answer.
Five cubic meters of copper has a mass of 44,800 kilograms. What is the density of copper?
Density = mass / volume
Density = 44,800 kg/ 5m^3
Density = 8,960 km/m^3
Anthony says that the expression abc has three terms because it uses three different variables. Critique Anthony's reasoning and explain whether he is correct.
Answer:
Anthony's reasoning is incorrect
Step-by-step explanation:
The expression abc is not made up of three terms because it is just an entity. For the expression to be called a three term expression, each of the variables must be separated using mathematical signs. For example, the expression a + b + c can be referred to as three terms because each variables are separated by a plus sign. In this case they are different entity.
From the above explanation, we can conclude that Anthon's reasoning is incorrect. The expression abc is just one term not three terms.
HURRY PLEASE HELP Missy borrowed $5900 for seven years at an annual rate of 8%. What is the TOTAL AMOUNT that Missy will need to pay after 7 years? (principal AND interest)
Answer: $5933.04
Step-by-step explanation:
Principal = $5900
Rate = 8%
Time = 7 years
Simple interest = PRT/100
= (5900 × 8% × 7)/100
= (5900 × 0.08 × 7) / 100
= 3304/100
= $33.04
Total amount = Principal + Interest
= $5900 + $33.04
= $5933.04
In the equation 0.5x-8=1.5 the decimal coefficient is
Answer:-9.5
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
The coefficient is the number that multiply the variable, in this case x.
8. Could an angle be complementary to itself? If, so what would it’s measure be?
9. Could an angle be supplementary to itself? If so, what would its measure be?
Answer:
8) angle that is complement of itself is 45°
9) When an angle is its own supplement, that means that the angle, plus itself, will equal 180 degrees.
Step-by-step explanation:
2³ =
what does it equal?
Answer:
8
Step-by-step explanation:
2 x 2 = 4
4 x 2 = 8
Answer:
8
Step-by-step explanation:
2^3 is the same as 2x2x2 (x is times)
Find the value(s) of A so that XYZW is an isosceles trapezoid. All answers should be fully simplified.
Answer:
a = 4√5Step-by-step explanation:
Given
Trapezoid XYWZAs given, sides XW and YZ are parallel and XY = WZ
Since it is isosceles, angles X and W are of same size
Therefore:
a² + 15 = 2a² - 652a² - a² = 15 + 65a² = 80a = √80a = 4√5An element with mass 570 grams decays by 18% per minute. How much of the element is remaining after 13 minutes, to the nearest 10th of a gram?
9514 1404 393
Answer:
43.2 grams
Step-by-step explanation:
The exponential equation for the decay can be written as ...
amount remaining = (initial amount)(1 -decay rate)^t
= 570(1 -0.18)^t
We want to find the amount remaining after 13 minutes. Evaluating this equation for t=13, we have ...
amount remaining = 570(0.82^13) ≈ 43.2 . . . grams
Select all the lines in the proof of △ABC≅△CDA that have the correct justification. AB || CD and BC || AD, ASA Triangle Congruence Theorem ∠BAC≅∠DCA, Alternate Interior Angles Theorem △ABC≅△CDA, SAS Triangle Congruence Theorem ∠ACB≅∠CAD, Alternate Interior Angles Theorem AC≅AC, Reflexive Property of Congruence
Answer:
AB and MN
∠B and ∠N
CB and LN
Step-by-step explanation:
edg
what is the volume of a cylinder with radius 10cm and height 10cm?
Answer:
about 3141.59 cm^3
Step-by-step explanation:
V of cylinder = (pi)(r^2)(h)
radius = 10 cm
height = 10 cm
V = pi x 10^2 x 10
V = 3141.59 cm cubed
In 2016 Jane was 14 years old. At that time she was 7 times as old as her brother, Jim. In what year will Jane be twice as old as Jim will be then?
Answer:
Step-by-step explanation:
Mary will be twice as old as her brother when the age of her brother is equal to the ... Add this value of 8 to Mary's & her brother's present age. ... In three years time I will be half my brother's age. ... In 4 years, she will be four times as old as her son was 9 years ago
CAN SOMEONE HELP THIS IS DUE
Hicham El Guerrouj of Morocco set a world record by running 1 mile in 3 minutes, 43.13 seconds on July 7, 1999. What was his time in miles per hour?
Answer:
His time in mph is 16.1 mph
Find the unit rate. Round your answer to the nearest hundredth.
3500 calories for 6 servings of pie
20 POINTS!
(Also explain the reasoning you used to find the expression)
ILL MARK BRAINLIEST
9514 1404 393
Answer:
8x +96 yd
Step-by-step explanation:
The perimeter is the sum of the side lengths. In this case, it will be twice the sum of the overall length and the overall height.
The overall length is the sum of the two horizontal segments at top:
(x -2) +(3x) = 4x -2
The overall height is the sum of the right-side vertical segments:
10 + 40 = 50
Then the perimeter is ...
P = 2(L+W) = 2((4x -2) +50) = 2(4x +48) = 8x +96
The perimeter is 8x +96 yards.
PLEASE HEEEEELLLPPPPP ILL GIIVE YOU BRAINLIEST
Answer:
your answer will be c
and distributive property for the second one
Step-by-step explanation:
2) The value of y is directly proportional to the value of x. Given y = 12 when x = 36.
What is the value of y when x = 60? Show your work to receive full credit.
Answer:
I believe the answer is 20
Step-by-step explanation: