Solution:
Note that:
y = -x + 1630 = 2x + ySubstitute the value of y into the equation to find x.
30 = 2x + y=> 30 = 2x - x + 16=> 30 = x + 16=> 30 - 16 = x=> x = 14Substitute the value of x into any equation to obtain the value of y.
30 = 2x + y=> 30 = 2(14) + y=> 30 = 28 + y=> 30 - 28 = y=> y = 2Putting the values in (x,y) form.
(x,y) ⇒ (x = 14,y = 2) ⇒ (14,2)The subtotal of your computer purchase was $398.50. If the sales tax rate is 7.25%, how much will you pay in tax for the computer? *
Answer:
$28.89
Step-by-step explanation:
[tex]398.5\times7.25[/tex]%
Calculate
[tex]398.5\times0.0725[/tex]
Calculate the product or quotient
[tex]28.89125[/tex]
I hope this helps you
:)
What is the slope of the line that passes through the points (-3, 5) and (1, 7)?
Answer:The slope is 2 .
Step-by-step explanation: mark branlest if right!
Answer:
1/2
Step-by-step explanation:
In the attachment below
Calculate the kinetic energy of a boy of mass 65kg running with average speed of 20m/s (3mks)
This is equivalent to 13 kilojoules.
=======================================================
Work Shown:
m = 65 kg = mass
v = 20 m/s = velocity
KE = kinetic energy
KE = (1/2)*m*v^2
KE = (1/2)*65*(20)^2
KE = 13000 joules
This can be written as 13 kilojoules since "kilo" means "1 thousand"
The abbreviation of the unit "joules" is the letter J.
Rectangle JKLM is shown. What is the value of x?
Below are the line plots for two data sets.
Find the mean of each data set.
Mean of data set A:
Mean of data set B:
Answer:
Data set A mean = 4
Data set B mean = 6.5
Step-by-step explanation:
Data set A:
3(3) + 4(2) + 5(3) = 32
32/8 = 4
Data set B:
5(4) + 6(4) + 7(4) + 8(4) = 104
104/16 = 6.5
Data set A mean = 4
Data set B mean = 6.5
Solve for x
A.-8
B.8
C.-9
D.9
Triangle RST, with vertices R(2,3), S(6,7), and T(4,8), is drawn inside a rectangle, as
shown below.
10
9
T
00
8
2
6
6
V
5
3
4
R
2
-2
-1
2
3
4
5
8
9
10
What is the area, in square units, of triangle RST?
Answer:
Step-by-step explanation:
The area of the larger rectangle is (4)(5)=20.
The area of the top left right triangle is (1/2)(2)(5)=5.
The area of the top right right triangle is (1/2)(2)(1)=1.
The area of the bottom right triangle is (1/2)(4)(4)=8.
So A = 20 - 5 - 1 - 8 = 15 - 9 = 6.
I WILL AWARD BRAINLIEST
Answer:
Option A is the correct answer.
Step-by-step explanation:
First, look at the second equation. Get s and r onto the same side.
For simplicity, I will use x for r and y for s
Multiply the first equation by 3, and multiply the second equation by -4.
3(2x+8y=−4)
−4(7x+6y=8)
Becomes:
6x+24y=−12
−28x−24y=−32
Add these equations to eliminate y:
−22x=−44
x=2=r
Now we substitute this back in for the original equation
(2)(2)+8y=−4
8y=-8
y=-1=s
Option A is the correct answer.
Complementary angles in real life photos
The table represents a function.
What is f(-2)?
-3
X
-6
--2
0
3
f(x)
3
1
4
-2
-1
ОООО
1
3
Answer:
234
Step-by-step explanation:
Man I don't know
f(x) = (9 + 2x)²
f(2) = ?
»f(x) = (9 + 2x)²
»f(2) = (9 + 2(2))²
»f(2) = (9 + 4)²
»f(2) = 13²
»f(2) = 169✅
[tex]\\ \rm\hookrightarrow f(x)=(9+2x)^2[/tex]
f(2):-
put 2 inplace of x
[tex]\\ \rm\hookrightarrow (9+2(2))^2[/tex]
[tex]\\ \rm\hookrightarrow (9+4)^2[/tex]
[tex]\\ \rm\hookrightarrow 13^2[/tex]
[tex]\\ \rm\hookrightarrow 169[/tex]
four times the sum of a number n and five is equal to 100. find n
Answer:
N=20
Step-by-step explanation:
solve for x: -3(x-2)^2 + 17 =0
Before doing the question, let's recall the quadratic formula which is used to find the roots of a quadratic equation ;
For any quadratic equation of the form ax² + bx + c = 0 , it's roots are given by the quadratic formula as :
[tex]{\boxed{\bf{x=\dfrac{-b\pm \sqrt{D}}{2a}}}}[/tex]Where , D = b² - 4ac (Discriminant)
Now , simplifying the equation :
[tex]{:\implies \quad \sf -3\{(x)^{2}+2^{2}-2\times 2\times x\}+17=0\quad \qquad \{\because (a-b)^{2}=a^{2}+b^{2}-2ab\}}[/tex]
[tex]{:\implies \quad \sf -3(x^{2}+4-4x)+17=0}[/tex]
[tex]{:\implies \quad \sf -3x^{2}-12+12x+17=0}[/tex]
[tex]{:\implies \quad \sf -3x^{2}+12x+5=0}[/tex]
Dividing both sides by -1 will yield :
[tex]{:\implies \quad \sf 3x^{2}-12x-5=0}[/tex]
Now , it's in the form of the standard quadratic equation , where a = 3 , b = -12 , c = 5 , and D = (-12)² - 4 × 3 × -5 = 144+60 = 204
Now, By quadratic Formula ;
[tex]{:\implies \quad \sf x=\dfrac{-(-12)\pm \sqrt{204}}{2\times 3}}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{12\pm 2\sqrt{51}}{2\times 3}}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{\cancel{2}(6\pm \sqrt{51})}{\cancel{2}\times 3}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x=\dfrac{6\pm \sqrt{51}}{3}}}}[/tex]
Can someone please explain how to get the answer I've watched multiple videos on implicit derivatives and I still cant figure it out.
We're given the implicit equation
x² + 2x + y² - 4y = 12
where "implicit" means that one of the variables is considered a function of the other. In this case, the variable y = y(x) depends on the value of the variable x - in other words, the possible values of y are implied by the value of x. We then say that this equation defines y as an implicit function of x.
We're also given the implicit derivative,
dy/dx = (-2x - 2)/(2y - 4)
which tells us the rate of change y as a function of both x and y. The value of dy/dx corresponds to the slope of the tangent line to the curve defined by the implicit equation above at some point (x, y).
The tangent line is horizontal when its slope is zero. This happens when
(-2x - 2)/(2y - 4) = 0
If y ≠ 2, then we can eliminate the denominator and we're left with
-2x - 2 = 0
Solve for x :
-2x = 2
x = -1
This tells us that the points on the curve with x-coordinate -1 have a tangent line to the curve that is horizontal.
The tangent line is vertical when its slope is undefined/infinite, or equivalently when the denominator of dy/dx is zero:
2y - 4 = 0
Solve for y :
2y = 4
y = 2
So any point on the curve with y-coordinate 2 will have a tangent line there that is vertical.
By completing the square in the implicit equation, we can easily identify where these points are located.
x² + 2x + y² - 4y = 12
x² + 2x + 1 + y² - 4y + 4 = 17
(x + 1)² + (y - 2)² = 17
This equation defines a circle centered at (-1, 2) with radius √17. When x = -1, we have
(y - 2)² = 17 ⇒ y = 2 ± √17
and when y = 2, we have
(x + 1)² = 17 ⇒ x = -1 ± √17
See the attached plot to see the circle and the tangents at these points.
determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E’?
i need help again!!
A translation followed by a reflection
What is the value of x in the figure?
Enter your answer in the box.
Answer:
the answer is 29° because you have to subtract 61 from 90 and you will get 29.
x = 29°
Answer:
The answer is 29°
Step-by-step explanation:
We are given a figure,
Here, we know that on straight line the sum of all angles is equal to 180°
So,
x + 90° + 61° = 180°
x + 151° = 180°
x = 151° – 151° = 180° – 151°
x = 29°
Thus, The value of x is 29°
For Verification;x + 90° + 61° = 180°
29° + 90° + 61° = 180°
180° = 180°
L.H.S = R.H.S
Hence Verified!
-TheUnknownScientist 72
f(x) = (x + 2)²
f(5) = ?
»f(x) = (x + 2)²
»f(5) = (5 + 2)²
»f(5) = 7²
»f(5) = 49✅
~Hello! I will try to help you!
•Given : -
f(x) = (x + 2)² f(x) = (x + 2)(x + 2) f(x) = x² + 4x + 4•To Find : -
f(5) = ?•Step-by-step explanation : -
[tex] \Rightarrow \sf f(x) = {x}^{2} + 4x + 4[/tex]
»Just substitute the value 5 into the function f(x) above, then:-
[tex] \Rightarrow \sf f(5) = {5}^{2} + 4(5) + 4 \\ \Rightarrow \sf f(5) = 25 + 20 + 4 \\ \Rightarrow \sf f(5) = \bf49[/tex]
With this it's done!
A balloon is floating above a lake and a sunken canoe is below the surface of the lake.
The balloon’s vertical position is 12 meters and the canoe’s is -4.8 meters.
The equation 12 + d = -4.8 represents this situation.
What does the variable d represent? (This is NOT a number
The variable d represents the [answer1] in this situation.
Answer:
D is how long until the canoe
Step-by-step explanation: I have no idea i just guessed
Debbie needs 6 cups of cherry soda. She has 20 ounces. How many more fluid ounces of cherry soda
does she need?
Answer:
48 fluid ounces.
Step-by-step explanation:
8 fluid ounces = 1 cup
So, we need to multiply 8 by 6.
8 x 6 = 48...That's your answer!
Answer:
she can only use 2 cups she needs 48 ounces
Step-by-step explanation:
there are 8 ounces in a cup she can only make 2 cups out of 20 ounces she needs a total of 48 ounces.
can you solve that ?
Step-by-step explanation:
14/11-15/11
14-15/11
-1/11
Your 6.50 kW air conditioner is used for a total of 125 days (24 hours per day). Assume the cost per kWh is 0.0825 determined the cost of air conditioning for one year.
Answer:
Air conditioners are rated by the number of British Thermal Units (BTU) of heat they can remove per hour. Another common rating term for air conditioning size is the "ton," which is 12,000 BTU per hour.
Each air conditioner has an energy-efficiency rating that lists how many BTUs per hour are removed or “pulled out” for each watt of power it draws.
The efficiency rating for room conditioners is the Energy Efficiency Ratio, or EER.
The efficiency rating for central air conditioners, is the Seasonal Energy Efficiency Ratio, or SEER.
These ratings are posted on an Energy Guide Label, which must be conspicuously attached to all new air conditioners. Energy Star-labeled appliances mean that they have high EER and SEER ratings
The side-by-side boxplots show the ages of all Oscar winners for Best Actress (females) and Best Actor (males). It's easy to see that both distributions contain outliers (they're stars in the plot). Given that the median age of a man who won Best Actor is 42, Q1 = 39
Mr. Martinez has 25 kilograms of colored sand for his art students to
use on their sand art project. He packages the sand into individual bags
with 125 grams in each bag. How many bags of sand can Mr. Martinez
make?
umm what do the letters m and b mean in y=mx+b ?
m = slope of the line
b = y-intercept of the line
b = y-intercept of line
m = slope of line
Hope this helps! Have a nice day! God bless and stay safe.
Is 12/15 closest to 0, 1/2 or 1
Answer:
1
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] = [tex]\frac{7.5}{15}[/tex]
1 = [tex]\frac{15}{15}[/tex]
which is 12 closer to?
7.5 or 15 ?
15 of course
Answer:
1
Step-by-step explanation:
12/15 = 0.8
0=0.0
1/2=0.5
1=1.0
0<0.5<0.8<1
So now it is in between 0.5 and 0.8 and it is closer to 1 as it is only 0.2 away, 0.5 is 0.3 away.
PLEASE HELP ME I WILL MARK BRAINLIEST IF CORRECT
Answer:
C is the Answer
Step-by-step explanation:
1 quart=4 cups (whats the answer?)
Answer:
1quart 4cups =8quatcups
Step-by-step explanation:
thanks:)
Answer:
9
Step-by-step explanation:
2*4 + 1 = 9 cups
PLEASE ANSWER URGENT
Answer:
okay, but i need something to answer
Step-by-step explanation:
will mark brainliest to the first answer correct (include step by step)
Angle 4 is on a straight line with angle 2 meaning that the angle 4 plus Angle 2 is 180 degrees:
Angle 2 + Angle4 = 180
72 + Angle 4 = 180
Angle 4 = 108 degrees
Hope that helps!
Select the correct answer.
Which expression is equivalent to the given expression?
(4xy^3/x^2)^2
A. 16y^6
B. 16y^5/x^2
C. 16x^2y^5
D. 16y^6/x^2
Answer:
Hey! Here's it going?
The correct answer is D. 16y^6/×^2
The equivalent expression is 16y⁶/x².
What is an expression?In mathematics, expression is the combining of variables with the application of operations and prescribed rules. It could take the shape of an equation, some numbers, etc.
We have the expression,
{4xy³/x²}²
Simplifying the expression,
{4xy³/x²}²
= {4y³/x}²
= 16y⁶/x².
Therefore, 16y⁶/x² is the required equivalent expression.
To learn more about the expression;
brainly.com/question/24242989
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