If
x
=
2
and
y
=
5
, evaluate the following expression:
2
(
4
x
+
3
y
)
When x = 2 and y = 5, the value of the expression 2(4x + 3y) is 46.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
The expression given is - 2(4x + 3y).
If x = 2 and y = 5, then substitute these values into the expression and simplify as follows -
2(4x + 3y)
2(4(2) + 3(5))
Use the arithmetic operation of multiplication -
2(8 + 15)
Use the arithmetic operation of addition -
2(23)
Use the arithmetic operation of multiplication -
46
Therefore, the value is obtained as 46.
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A new savings account is opened with 400 and gains 3% every year.what is the exponential function?
Answer:
Exponential function is:
y = 100 (1.03)ˣ
Step-by-step explanation:
We know that the exponential growth function is of the form
y = a (1 + r)ˣ
Here:
a = initial value
r = growth rate
x = number of time intervals that have passed
Given that A new savings account is opened with 400. Thus,
a = 400
Given that a new saving account gains 3% every year.
r = 3% = 0.03
now substituting a = 400 and r = 0.03 in the function
y = a (1 + r)ˣ
y = 100 (1 + 0.03)ˣ
y = 100 (1.03)ˣ
Therefore, exponential function is:
y = 100 (1.03)ˣ
Please note that the growth factor i.e. 1.03 is greater than 1, so the exponential function represents exponential growth.
The price of a DVD player changed from $400 to $255. What was the percent of decrease?
Answer:
36.25%
Step-by-step explanation:
400 - 255 = 145
145/400 = 0.3625
0.3625 = 36.25%
Answer:
36.25%
Step-by-step explanation:
(400-255)/400=145/400=0.3625=36.25%
*HELP ASAP I CAN ONLY DO THIS ONE TIME OR ILL FAIL*
Answer:
A
Step-by-step explanation:
V= BxHxL divided by 2
6x9x21= 1,134
divided by 2 equals 567yd
Answer:
A) 567 yd^3
Step-by-step explanation:
If you need help with formulas you could always look them up. Like triangular prism volume formula
i am the sum of 10 and another even number i am more then a dozen i am the sides of a trapezoid plus 2 what am i
Answer:
decagon 10 sides.
Step-by-step explanation:
If your a dozen Then your a dodecagon.
Duke is buying a new cellphone case that is on sale for 20% off. The sale price is
$16 before tax. What was the original price of the cellphone case?
Answer:
$20
Step-by-step explanation:
20 x .2 = 4
20 - 4 = 16
A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0). What is the equation of the directrix? x=−4 y=−4 x=4 y=4
The equation of directrix of the parabola will be x = -4.
What is directrix ?Directrix is a straight line distance to which from any point of a conic section is in fixed ratio to the distance from the same point to a focus. The directrix is perpendicular to the axis of symmetry and does not touch the parabola.
We have,
Vertex of parabola = (0, 0),
Focus of the parabola = (4, 0),
Now,
The Equation of directrix is given by y = -a
Where,
The equation of the parabola, [tex]y^2 = 4ax[/tex],
And,
Focus at (a, 0),
i.e. a = 4 (As the given focus is (4, 0))
And,
The axis of the parabola is the positive x − axis.
So,
The equation of the directrix of this parabola,
x + a = 0,
i.e.
x + 4 = 0
⇒
x = -4
Hence, we can say that the equation of directrix of the parabola will be x = -4.
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PLEASE HELP
Find the value of y for the given value
of x.
y= 2 – 9x; x = 2/3
Need help plzzzzzzxz
Find the volume of a sphere that has a diameter of 30 feet. Use 3.14 for pi.
please help me I'm confused
Answer: The correct answer is 8^2 or 64
Step-by-step explanation: Can I please get the brainliest answer.
Answer:
8²
Step-by-step explanation:
When we divide numbers with exponents that have the same bases, we can just subtract the exponents. So, 8^9/8^7 equals 8^(9-7) = 8^2 (Which equals 64, but it isn't a power).
52 is 2% of what number? If necessary, round your answer to the nearest hundredth.
a) 0.04
b) 2600
c) 26
d) 1.04
Answer:
B
Step-by-step explanation:
[tex]\frac{52}{2} = \frac{x}{100}[/tex] =
2x = 52(100)
2x = 5200
x = 2600
PLZ MARK AS BRAINLIEST
can someone help me solve this?
Answer:
34
Step-by-step explanation:
2x + 15 + 3x - 5 = 180
2x + 3x = 5x
15 - 5 = 10
5x + 10 = 180
-10 + 180 = 170
5x = 170
[tex]\frac{170}{5} = 34[/tex]
x = 34
The ice cream vendor 's cold box holds 24 ice cream cups. The
freezer has 8 cases of ice cream each with 48 cups. How many
trips to the freezer will the vendor make if he sells all the ice cream?
Answer:
16
Step-by-step explanation:
24/8=3
48/3=16
I need help ASAP please help me
Answer:
3x+50=6x-10
Step-by-step explanation:
set them equal to each other and solve for x. I have no paper on me rn to help you, hope this helps tho
Find the slope between (4,5) and (‐3, 6).
Answer:
-1/7
Step-by-step explanation:
to find slope y2-y1 / x2-x1
6-5/-3-4
1/-7
PLS HELP ASAP (THE PICTURE IS BELLOW)
Answer:
10
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
The graph shown below represents a ladder leaning against wall the bottom of the latter is 4 feet from the wall in the top of the ladder reach is 20 feet above the ground what is the slope of graph (I’m so sorry I don’t have a picture)
Answer:
C.) -5
Step-by-step explanation:
The slope formula is rise/run, in other words, rise divided by run or the y variable divided by the corresponding x variable.
In this question, we are told that the y-value is "20 feet above" meaning this is the rise and the run is "4 feet from"
To find the slope all we have to do is divide 20 by 4 giving us 5. Since the ladder is going down we know that we have to place a negative sign before the slope giving us our final answer of -5
Evaluate f(x)=7x+7 when x=-9
Answer:
-56
Step-by-step explanation:
f(x) = 7x + 7
x = -9
We meed to plug in x = -9 into the first equation:
f(-9) = 7(-9) + 7
We can open up the parentheses:
f(-9) = -63 + 7
And then simplify:
f(-9) = -56
Please don't say something random just for the points this is my last question on my test and I would really appreciate it if I could get the right answer not a, I think, or sorry if I'm wrong thank you, Lilly records the age, in years, and the height, in inches, of the starting players on the girls’ middle school basketball team.
She records them as ordered pairs (age, height): (11, 62), (12, 64), (13, 65), (13, 67), and (14, 68).
Is this relation a function? Explain.
Answer: C because there are two ages with 13 as an x value, making it a relation not a function.
Find the solution to the system of equations. y = 2x + 2 ([?], [?])
What is the mode and range of the data set
18,22,20,21,24
Answer:
There is NO mode.
The range is 6.
Step-by-step explanation:
Mode is the most frequent number and in this case there are no repetitive numbers.
Range is the Max Number minus the Minimum Number. So in this case 24-18 which equals 6.
Simplify -5x(x - 3y)
please help (URGENT) (im slow)
Answer:
x=8
Step-by-step explanation:
What kind of sequence is this? –165, –180, –195, –210
True of flase a point (0,2) can be reflected across the x-axis PLEASE HELP 50 POINTS
Answer:
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).
So what do you think the answer is true or false
Answer:
True
Step-by-step explanation:
That is possible since the x is on 0. It can flip and then it lands on (0,-2) I think.
Hope this helped!
Your mom sends you to the store to buy some meat for
your birthday party.
She gives you $65 and wants you to spend it all on
exactly 15 pounds of meat.
Chicken is $3 a pound.
Steak is $5 a pound.
Is her request possible? If so, how much of each meat
would satisfy your mom's request?
Answer: the request is possible. you could buy 10 pounds of steak, for $50, which leaves you with $15 dollars left over. you could buy 5 pounds of chicken for $15. leaving you with no extra money and 15 pounds of meat.
Step-by-step explanation:
10 pounds of steak for 5 dollars each = $50
$65 - $50 = $15
5 pounds of chicken for 3 dollars each = $15
$15 - $15 = 0 10 pounds + 5 pounds = 15 pounds
Answer:Yes
Step-by-step explanation:
If you want to buy 13 pounds of steak then you spend all of your money
HELPPPPPPPP!!!!!!! ASAPPPPPPPPPPP!!!!
Answer:
The correct answer is 5.29 * [tex]10^{-5}[/tex]
Step-by-step explanation:
Scientific notation's form is a number ones digit number that may have decimals and is multiplied by 10 to some power, this is the only choice that fulfills this rule, so this is the correct answer.
Which equation is being graphed here?
A. y-4= -2/3(x-2)
B. y-4= -2/3(x+2)
C. y+4= -3/2(x-2)
D. y+4= -3/2(x+2
______________________________
1.) Graph each equation:
(I've included the graphs below.)
So your answer is c, [tex]\bold{y+4=-\frac{3}{2}(x-2)}[/tex].
______________________________
Find the dimension of a rectangle whose with is 6 miles less than its length and whose area is 72 square tiles
Answer:
Length = 12
Width = 6
Step-by-step explanation:
Width = 6 miles less than length;
L = L
W = L - 6
Area = 72 ft²
Area = Length * width
Area = (L * L-6)
Area = L² - 6L
-
L² - 6L = 72
L² - 6L - 72 = 0
L² - 12L + 6L - 72 = 0
L(L - 12) +6(L - 12) = 0
L = 12 or L = - 6
L cannot be negative
Width = L - 6
Width = 12 - 6 = 6
Hence,
Dimension of rectangle :
Length = 12
Width = 6
