x/3=y/8=z/5 và 2x+3y-z=50
Find a quadratic function that includes the set of values below.
(0,7), (2,17), (3,16)
The equation of the parabola is
Answer:
f(x) = -3x^2 + 10x + 3
Step-by-step explanation:
(0,3) (2,11)(3,6)
Using the form ax^2 + bx + c = y
From the first set we know that c = 3
Write an equation for the last two sets
x=2; y=11
a(2^2) + b(2) + 3 = 11
4a + 2b = 11 - 3
4a + 2b = 8
simplify divide by 2
2a + b = 4
and
x=3, y=6
9a + 3b + 3 = 6
9a + 3b = 6 - 3
9a + 3b = 3
simplify divide by 3
3a + b = 1
:
Use elimination to find a
3a + b = 1
2a + b = 4
--------------subtracting eliminate b
a = -3
Find b using the equation 2a + b = 4
2(-3) + b = 4
b = 4 + 6
b = 10
:
The equation: f(x) = -3x^2 + 10x + 3
Anton joined a golf club. He pays an annual membership fee of $895 and greens fee of $30 each time he plays golf. Last year he paid $2,065 as a total golfing fee. How many games did he play? Write and solve the equation.
A car uses 8 gallons of gasoline to travel 290 miles.Juanita wants to take a trip that is 400 miles. What equation will she need to use to find out how much gas the trip will use?
Answer:
To find this answer, you would need to find how many miles 1 gallon of gas will take them. To find this, you would do 290÷8=36.25. So with this information, you will be able to find out how much gas it would take to travel 400 miles. You would do 400÷36.25=11.03. 11.03 would be how many gallons of gas is used to travel 400 miles. Hope this helps! :)
Step-by-step explanation:
what is the zero turn for the arithmetic sequence 128,96,64,32
You are falling by [tex]32[/tex],
[tex]128, 128 - 32, 128 - 32\cdot2,\dots[/tex]
In general your sequence is defined as,
[tex]a_n=128-32\cdot n[/tex] where [tex]0\leq n \lt\infty[/tex].
The question is at which [tex]n[/tex] does the value [tex]a_n=0[/tex].
If you divide [tex]128[/tex] with [tex]32[/tex] you get the number of steps needed to stuff [tex]128[/tex] with [tex]32[/tex], [tex]4[/tex].
If you plug in [tex]n=4[/tex], you get [tex]a_4=128-32\cdot4[/tex], since [tex]32\cdot4=128[/tex] you get [tex]a_4=0[/tex].
The zero turn of the arithmetic sequence is thus at [tex]n=4[/tex].
Hope this helps :)
what values of x satisfy the equation 2x^2 -3x +4 =0
Answer:
(3 ± √23 * i) /4
Step-by-step explanation:
To solve this, we can apply the Quadratic Equation.
In an equation of form ax²+bx+c = 0, we can solve for x by applying the Quadratic Equation, or x = (-b ± √(b²-4ac))/(2a)
Matching up values, a is what's multiplied by x², b is what's multiplied by x, and c is the constant, so a = 2, b = -3, and c = 4
Plugging these values into our equation, we get
x = (-b ± √(b²-4ac))/(2a)
x = (-(-3) ± √(3²-4(2)(4)))/(2(2))
= (3 ± √(9-32))/4
= (3 ± √(-23))/4
= (3 ± √23 * i) /4
What is the area of the rhombus shown below?
Answer:
Its not a rhombus its a triangle and your answer is 600
Step-by-step explanation:
mutlpiy 20 by 30 to get your answer
given the equation 4x + 3y = 18. find the value of y when x = −3
9514 1404 393
Answer:
y = 10
Step-by-step explanation:
Put -3 where x is and solve for y.
4(-3) +3y = 18
-4 +y = 6 . . . . . . . divide by 3
y = 10 . . . . . . . . . add 4
A store is selling a sweater on sale for $17.90. The regular price is %22.95. What percent of the regular price is on sale
Answer:
$21.10
Step-by-step explanation:
write as an expression :the quantity 10 less than x, divided by 4
Answer:
(x-10)/4
Step-by-step explanation:
10 less than x means,
x - 10
and the divide by 4.
=> (x-10)/4
Answer:
x-10/4
10 less than x
x-10
divided by 4
/4
Help please! thank you xoxo!
2 math problems
3. x = 45
4. 73°
Step-by-step explanation:
3. The sum of the interior angles of a pentagon is 540° so
90° + 112° + 2x + (2x + 10) + 148° = 540°
Simplifying this, we get
4x + 360 = 540 => 4x = 180 or x = 45
4. The sum of the interior angles of a pentagon is 540° which means that the unknown interior angle is 107°. This angle is a supplementary angle to [tex]\angle{A}[/tex] so [tex]\angle{A}[/tex] is
180° - 107° = 73°.
10. Name the one example of Analog computer
Answer:
example of Analog computer=
Operational amplifiers
Answer:
there are many types eg cosmic engine
write a clear instructions explaining how to perform the following calculation (125+47-2.5)÷140+37×249
Answer:
It is 9214.2
Step-by-step explanation:
[tex](125 + 47 - 2.5) \div 140 + 37 \times 249[/tex]
first solve the bracket:
[tex] = (169.5) \div 140 + 37 \times 249[/tex]
form brackets of division and multiplication:
[tex] = (169.5 \div 140) + (37 \times 249)[/tex]
solve the brackets:
[tex] = 1.211 + 9213[/tex]
then add:
[tex] = 9214.211[/tex]
helppppppppppppppppp
Answer:
1) LInear Pair
2) Adjacent (but not a linear pair)
3) Complementary Angles
4) Vertical angles
Step-by-step explanation:
1st pair of angles are linear because they sum to 180 and are on the same line
2nd pair of angles are adjacent but not linear because they're not on a line
3rd pair of angles are complementary because they're neighboring a 90° angle and the three angles share the same line.
4th pair of angles are vertical because they're across from each other.
Answers:
Linear PairAdjacent (but not a linear pair)ComplementaryVertical AnglesThe answers are given from top to bottom in that exact order.
=======================================================
Explanations:
Angles AOB and DOB are considered a linear pair because they are adjacent and supplementary. They are adjacent because they share a common wall so to speak. That wall being ray OB. They are supplementary because they form a 180 degree angle. As the name "linear pair" implies, the pair of angles form a straight line. Unlike the previous set of angles, these angles are not supplementary. So they aren't a linear pair. However, the angles do share a common ray. So they are adjacent.These angles combine to a right angle (aka 90 degrees). Therefore, they are complementary angles that form a sharp corner. These are vertical angles because they are opposite one another. Ignore ray OB and only focus on lines AD and EC. Vertical angles form whenever we have this X shape like this, and the vertical angles are opposite one another. Vertical angles are always congruent.Which set of ordered pairs does NOT represent a function?
{(8,9), (-2,9), (7,5), (-4, – 7)}
{(-5, -7),(-5,4), (-2,-8),(3,5)}
{(8,0),(-4, -2), (7,1),(0,0)}
{(-8,3), (-5, – 7),(-4,5), (9,3)}
Answer:
{(-5, -7),(-5,4), (-2,-8),(3,5)}
Step-by-step explanation:
Functions can't use the same x-coordinate twice
given that 3x+2=4 and 2y+6=5 what is x+y?
Really need help on this one!
The value of x+y using given equations is 3x+2y=1.
The given equation are 3x+2=4 and 2y+6=5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
To find x+y:
3x+2+2y+6=4+5
⇒ 3x+2y+8=9
⇒ 3x+2y=1
Hence, the value of x+y using given equations is 3x+2y=1.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
The equation of a circle is given below. Identify the center and radius. Then graph the circle.
(x-3)² + y² =9
Answer:
Center = (3, 0)Radius = 3Graph = see belowConcept:
Here, we need to know the idea of the circle equation.
Circle equation: (x - h)² + (y - k)² = r²
(h, k) = center
r = radius
x = variable
y = variable
Solve:
Given expression
(x - 3)² + y² = 9
Find the point of the center
(h, k) = [tex]\boxed{(3,0)}[/tex]
Find the length of the radius
r² = 9
[tex]\boxed{r=3}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Jazmine is on a trịp to San Antonio, a distance of 330 km. She only has 3.5 hours to get to a job interview there. She gets stuck in traffic for the first 1.5 hours out of Houston and averages a speed of 60 km/hr. In order to not be late, what speed does she need to travel for the rest of the trip? (Organize your information carefully - total, first part, second part)
Answer:
Jazmine must travel for the rest of the trip at 120km/hr.
Step-by-step explanation:
To find the speed for the latter half of the trip necessary to arrive on time, we can divide the remaining distance by the remaining time.
The remaining distance, in km, is found by subtracting the distance already covered, which is the product of the speed during the first part of the trip and the elapsed time during this part, from the total distance:
[tex]330-1.5\times60=330-90=240[/tex]
The remaining time, in hr, is found by subtracting the elapsed time during the first part from the total time limit:
[tex]3.5-1.5=2[/tex]
Therefore, the necessary speed in km/hr is:
[tex]\frac{240}2=120[/tex]
Use the numbers 2, 3, and 4 to provide an example of the Associative Property of Multiplication.
Answer:
(2x3) x 4= 2 (3x4)
Suppose you invest $800 into an annuity account that pays 7% annual interest, compounded continuously. How much will you have in the account in 10 years? F(t) = ae^rt
Answer:
1611.00
Step-by-step explanation:
You have $1611.00 in the account in 10 years. The correct option is B.
What is continuous compound interest?Interest that compounded continuously to the principal amount. This interest rate provides exponential growth to a period of time.
Formula of continuous compound interest rate;
F(t) = a(e[tex])^{rt}[/tex]
, where a is the principal amount, r is the interest rate and t is the time period.
Given:
You invest $800 into an annuity account that pays 7% annual interest, compounded continuously.
And the formula is given by:
F(t) = a(e[tex])^{rt}[/tex]
According to the question,
Investment a = $800
Time period = 10 years.
And the interest rate r = 7%
Converting interest rate into decimals,
r = 0.07
Substituting all the values top the formula,
F(t) = a(e[tex])^{rt}[/tex]
F(t) = (800)(e[tex])^{(0.07)(10)}[/tex]
F(t) = (800)(e[tex])^{(0.7)}[/tex]
F(t) = 1611
F(t) = $1611.00
Therefore, you have $1611.00 in account.
To learn more about the continuous compound interest;
https://brainly.com/question/18722165
#SPJ2
HELP PLSSS IM STARTING SCHOOL AND DODNT FINISH MY HW!!
Answer:
(2,3.5)
Step-by-step explanation:
B=(1,2)
A=(3,5)
the ratio of shorts to pants is 1/2 if there are 8 shorts how many pants are there
A.16
B.4
C.6
D.8
Combine Like Terms
2. What is the simplest expression equivalent to 6g + 10 - 11g - 22 + 3g?
-2g-12
-89-32
2g+12
8g+32
Answer:
-2g-12
Step-by-step explanation:
-6x-1=35 what is x solve and write the equation
Answer:
-6
x - 6 is the equation, (unless there was a y, and it pasted wrong)
Step-by-step explanation:
You do additive property of equality by adding 1 to both sides.
-6x - 1 = 35
= -6x - 1 + 1 = 35 + 1
= -6x = 36
Division property of equality by dividing both sides by -6 or 6
= -6/-6x = 36/-6
= 1x = -6
x = -6
What is the value of the digit 6 in 873,261?
What is the value of the digit 6 in 137,2617?
Answer:
Step-by-step explanation:
60
600
HELP PLS!!
Find the lateral area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.
A. 90 units²
B. 540 units²
C. 1080 units²
D. 360+64√3 units²1
Answer:
B
Step-by-step explanation:
The lateral area of the regular pyramid shown in the diagram is 540 unit². Hence, option B is the right choice.
What is the area?The area of a figure is the two-dimensional space enclosed within the boundary of that figure.
How to solve the question?In the question, we are asked to find the lateral area of the regular pyramid shown.
A regular pyramid is one with all lateral faces the same.
In the given diagram, the pyramid shown has a hexagonal base. So it has 6 equal lateral faces.
Each lateral face is a triangle, with the base as 12 units and height as 15 units.
Thus, the area of one lateral face = (1/2)*12*15 units² = 90 units².
Thus, the total lateral surface area = Lateral surface area of one lateral face*number of lateral faces = 90 units²*6 = 540 units².
Thus, the lateral area of the regular pyramid shown in the diagram is 540 unit². Hence, option B is the right choice.
Learn more about lateral surface area at
https://brainly.com/question/27954586
#SPJ2
please help me get the right answer!!
Answer:
is that distance and bearing . really cool lol
In a group 40% like football ,70% like cricket and 30% like both games
Answer:
15% for both games
Step-by-step explanation:
30%÷2=15%
please help!!! what is the interquartile range?
8. Find the sum and difference between the greatest number and the least number of 7-digits number.
Answer:
sum is 19,999,998 and difference is 0
please brainleist my answer
Answer:
Step-by-step explanation:
The greatest number of 7-digits number is 9,999,999
The least number of 7-digits number........is 1,000,000
Their sum......................................................... is 10,999,999
Their différence ............................................. is 8,999,999