Answer:
» 4 → Coefficient of x [slope of a line]
» x → Term of 4
» ⅓ → Coefficient of y
» y → term of ⅓
-2.3 → Constant [y-intercept]
Step-by-step explanation:
Consider equation below:
[tex]{ \bf{ax + by + c}}[/tex]
• a is a coefficient of x-term
• b is a coefficient of y-term
• c is a constant
The indicated part of the algebraic expression 4x + y/3 - 2.3 are
4: Coefficient of x [slope of a line] x: Term of 4 ⅓: Coefficient of yy: term of ⅓-2.3: Constant [y-intercept]What is an algebraic expression?An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations.
Given an algebraic expression 4x + y/3 - 2.3
The algebraic equation usually consists of a variable, coefficients, and constants.
the parts of the expression that are connected with addition and subtraction. These parts are called terms. A coefficient is a number that is multiplied by a variable in a mathematical expression. In a mathematical expression, factors are parts of the expression that are connected by multiplicationLearn more about algebraic expression here:
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Help!!! A business can manufacture 50 unicycles a week and sell all of them for $200 each. The owner is considering increasing the price of the unicycles, but she knows that it will decrease sales. She uses this equation to estimate how much in dollars, y, she will make if she raises the price by x dollars:
y=10,000+50x−x^2
If she wants to make $10,6000, what is the least amount she can raise the price of each unicycle?
=====================================================
Explanation:
I'm assuming you meant to write $10,600 instead of $10,6000.
We'll replace y with this value and solve for x.
[tex]y=10,000+50x-x^2\\\\10,600=10,000+50x-x^2\\\\0=10,000+50x-x^2-10,600\\\\-x^2+50x-600 = 0[/tex]
Use the quadratic formula with a = -1, b = 50, c = -600
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-50\pm\sqrt{(50)^2-4(-1)(-600)}}{2(-1)}\\\\x = \frac{-50\pm\sqrt{100}}{-2}\\\\x = \frac{-50\pm10}{-2}\\\\x = \frac{-50+10}{-2} \ \text{ or } \ x = \frac{-50-10}{-2}\\\\x = \frac{-40}{-2} \ \text{ or } \ x = \frac{-60}{-2}\\\\x = 20 \ \text{ or } \ x = 30\\\\[/tex]
We go for the smaller x value because the question asks "what is the least amount she can raise the price?".
If she raises the price by $20, then she would estimate to make about $10,600.
After lunch.my family has 1/8 of a pizza left. If I took half of the leftovers for my snack, what fractional part of the pizza is left?
Answer:
-0.875 that is the answer
Step-by-step explanation:
(1/8)-1=-0.875 that's the answer
f(x) = 2x
g(x) = 8a
Find (f.g)(x). Assume x 20.
A. (fºg)(x) = 8x
B. (fºg)(x) = V10x
V
C. (fºg)(x) = 412
O D. (f.g)(x) = 4x
Answer:
whats the exact question screen shot it but i think *{{76 you have to {{ it since its a ombre
Step-by-step explanation:
Howard slept from 9 PM until 6 AM the next morning how many minutes did he sleep
Answer:
540min
Step-by-step explanation:
he slept for 9 houres so convert that to minutes.
Which is the correct formula to find the area of triangle AED?
area of a triangle = 1/2 • CD • AE
area of a triangle = 1/2 • AE • DE
area of a triangle = 1/2 • CE • AE
area of a triangle AED = AE • AE
Please help! I will reward brainliest for the right answer ^^
Answer:
area of ΔAED = 1/2 · AE · DE
Step-by-step explanation:
Area of a triangle = 1/2 x height x base
From inspection of the diagram for triangle AED:
height = AEbase = DETherefore, area of ΔAED = 1/2 · AE · DE
The exponential function hhh, represented in the table, can be written as h(x)=a\cdot b^xh(x)=a⋅b
x
h, left parenthesis, x, right parenthesis, equals, a, dot, b, start superscript, x, end superscript.
xxx h(x)h(x)h, left parenthesis, x, right parenthesis
000 101010
111 444
Complete the equation for h(x)h(x)
The cοmplete equatiοn fοr h(x) is h(x)=4
What is an expοnential functiοn?An expοnential functiοn is a mathematical functiοn οf the fοrm f(x) = a^x, where a is a cοnstant and x is the variable. The cοnstant a is called the base οf the expοnential functiοn, and it is typically a pοsitive real number. When a is greater than 1, the functiοn represents expοnential grοwth, while when a is between 0 and 1, the functiοn represents expοnential decay.
Expοnential functiοns have sοme special prοperties, such as the fact that the rate οf change οf the functiοn is prοpοrtiοnal tο its value. In οther wοrds, the larger the value οf the functiοn, the faster it grοws οr decays. Expοnential functiοns alsο have a hοrizοntal asymptοte at y = 0 when a is between 0 and 1, and nο hοrizοntal asymptοte when a is greater than 1.
Expοnential functiοns are widely used in mathematics, science, ecοnοmics, and engineering tο mοdel phenοmena that exhibit expοnential grοwth οr decay, such as pοpulatiοn grοwth, radiοactive decay, and cοmpοund interest. They are alsο used in prοbability theοry tο mοdel the distributiοn οf randοm variables, such as the expοnential distributiοn.
Tο cοmplete the equatiοn fοr h(x), we need tο find the values οf a and b in the expοnential functiοn that cοrrespοnd tο the given table οf values:
x | h(x)
0 | 10
1 | 10
2 | 10
3 | 4
4 | 4
5 | 4
Since the value of h(x) is constant (equal to 10) for x = 0, 1, and 2, we know that [tex]b^0 = b^1 = b^2 = 1[/tex], which implies that b = 1.
Substituting b = 1 into the exponential function, we have:
[tex]h(x) = a * 1^x = a[/tex]
To find the value of a, we can use any of the given values of h(x) for which x > 2. For example, when x = 3, we have:
h(3) = 4 = a
Therefore, the complete equation for h(x) is:
[tex]h(x) = 4 * 1^x = 4[/tex]
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CAN SOMEONE PLEASE HELP
i think the right answer is 4
Roberto wrote a sentence that describes an equation. Half of a number is 45. Which choice shows Roberto’s equation and its solution? 2 x = 45; x = 90 StartFraction 45 Over 2 EndFraction = x; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 90.
Answer:
x = 90Step-by-step explanation:
Roberto wrote a sentence that describes an equation. Half of a number is 45. Which choice shows Roberto’s equation and its solution? 2 x = 45; x = 90 StartFraction 45 Over 2 EndFraction = x; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 90.
(1/2)x = 45
x = 45 * 2
x = 90
--------------------
check
90 : 2 = 45
the answer is good
Your answer is [tex}x = 45 * 2x = 90[/tex]
x = 45 * 2
x = 90
90 : 2 = 45
Hope this helps
Sorry if the thing says alot of "tex". Trying something new
can someone pleaseeee helpppp me find the hypotenuse of x?
225 cm
55°
390cm
165cm
168cm
pleaseeee i need the calculations toooooo
Answer:
280.8
Step-by-step explanation:
use the pythagorean theorem to find x
225^2 + 168^2 = x^2
[tex]\sqrt{168^{2} + 225^{2} }[/tex] = x
280.8
A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials. What is the relative frequency of selecting a club?.
Answer:
52-1=51+1=52/4=13/4=3
answer: 1 out 0f 52
Step-by-step explanation:
Answer:
20%
Step-by-step explanation: I took the test
x: -2, 0, 2, 4, 6
y: 3, 3, 4, 4, 5
Function or Not a function?
How many cubes are there
Answer:
there are 9 cubes
make me brainliest if u r satisfied
Answer:
there are 9 cubes
:) ㅡㅡㅡㅡㅡ
Divide using long division
pls show work
9x^3+18x^2-4x-8/3x-2
Mr. Stein is purchasing 2.25 pounds of meat that costs $2.80 per pound. How much change should Mr. Stein receive if he give the cashier $20.00? *
Answer:
$13.70
Step-by-step explanation:
20 - 2.25 x 2.8
20-16.3 = 13.7
What is the solution to the system of equations?
y=2x-7
y=-x+5
Answer:
(4, 1 )
Step-by-step explanation:
y = 2x - 7 → (1)
y = - x + 5 → (2)
substitute y = 2x - 7 into (2)
2x - 7 = - x + 5 ( add x to both sides )
3x - 7 = 5 ( add 7 to both sides )
3x = 12 ( divide both sides by 3 )
x = 4
substitute x = 4 into either of the 2 equations
substituting into (2)
y = - 4 + 5 = 1
solution is (4, 1 )
Jake wants the profile of a hotel he is planning to be a right triangle with the dimensions shown. The city prohibits structures over 100 ft at the location where he would like to build. Can the hotel be located there? Explain
The height of the building is 96 ft., hence the building can be located there.
Sine ruleSine rule is used to show the relationship between the sides and angles of a triangle it is given by:
a / sin(A) = b / sin(B) = c / sin(C)
A, B, C are the angles and a, b, c are the sides opposite the respective angles.
Let A represent the angle opposite side 120 ft., hence:
120/sin(A) = 200/sin(90)
A = 36.9°
Let h represent the height of the building, hence:
h / sin(36.9) = 160 / sin(90)
h = 96 feet
The height of the building is 96 ft., hence the building can be located there.
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Given the perimeter of a square is (8x-6). What is the area,in cm², of the square ?
Answer:
16x² - 24x + 9
Step-by-step explanation:
One side = (8x-6)÷4
One side = 2x - 3/2
Area = (2x-3/2)(2x-3/2)
Open the brackets
2x(2x-3/2) - 3/2(2x-3/2)
= 16x² - 24x + 9
What is the ratio for sinM (Look at the picture)
A) 7/24
B) 7/25
C) 25/24
D) 24/25
Answer:
B) 7/25
Step-by-step explanation:
sin M = opposite/hypotenuse = 7/25
The difference of 16 and a number, divided by 2
Answer:
8
Step-by-step explanation:
Answer:
16 - x ÷ 2(16 - x) ÷ 216 - (x ÷ 2).Step-by-step explanation:
Difference meaning (Math):
Subtracting 2 numbers.If that's the meaning, equation should be:
16 - x ÷ 2.Remember:
Parenthesis are sometimes required.(16 - x) ÷ 216 - (x ÷ 2).Priya collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. How much money did Priya raise? If you get stuck, consider using the table.
Answer:
960 pennies or $ 9.60
Step-by-step explanation:
2400/2.5 = 960 pennies
Given the function below, find f (3/2). f(x) = 2x^2 - 7x
Answer:
3 has to be 3
Step-by-step explanation:
n neg so 3
what is the vertex of the graph of the quadratic function f(x)= x^{2} + 6x + 10?
Answer:
vertex = (- 3, 1 )
Step-by-step explanation:
given a quadratic in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = x² + 6x + 10 ← is in standard form
with a = 1, b = 6 , then
x = - [tex]\frac{6}{2}[/tex] = - 3
substitute x = - 3 into f(x) for corresponding y- coordinate
f(- 3) = (- 3)² + 6(- 3) + 10 = 9 - 18 + 10 = 1
vertex = (- 3, 1 )
Write the product as a power.
15⋅15⋅15⋅15
Answer:
[tex]15^4[/tex]
Step-by-step explanation:
Given the following question:
[tex]15\times15\times15\times15[/tex]
In order to find the exponent of the given expression we count how many times the number is being multiplied by itself, that number would then be the exponent.
[tex]15\times15\times15\times15[/tex]
They're four 15's
[tex]15^4[/tex]
To prove the answer:
[tex]15\times15\times15\times15=50625[/tex]
[tex]15^4=50625[/tex]
[tex]15^4[/tex]
Hope this helps.
help solve please i will mark as brainliest
Answer:
4736 feet
(48×32/2)×2
(40×40)×2
l=8cm b=6cm h=5cm
find the total surface area and volume of cuboid
pls help! only if ur sure of the answer tysm
Answer:
B) [tex]f(x)=27(\frac{1}{3})^x[/tex]
Step-by-step explanation:
B) [tex]f(x)=27(\frac{1}{3})^x[/tex]
[tex]f(0)=27(\frac{1}{3})^0=27[/tex]
[tex]f(1)=27(\frac{1}{3})^1=9[/tex]
[tex]f(2)=27(\frac{1}{3})^2=3[/tex]
[tex]f(3)=27(\frac{1}{3})^3=1[/tex]
[tex]f(4)=27(\frac{1}{3})^4=\frac{1}{3}[/tex]
Given the volume of the cone below, identify the radius, height, and diameter.
Note: Figure is not drawn to scale.
Given the volume of the cone to be 60π, the radius, height, and diameter of the cone would be:
Radius (r) = 6 cmHeight (h) = 5 cmDiameter (d) = 12 cmWhat is the Volume of a Cone?Volume of a Cone = 1/3 × πr²h
Given that the volume of the cone is: 60π
Thus:
Radius (r) = 6 cmHeight (h) = 5 cmDiameter (d) = 2(6) = 12 cmThus:
Volume = 1/3 × π × 6² × 5
Volume = 1/3 × π × 6² × 5 = 60π
Therefore, given the volume of the cone to be 60π, the radius, height, and diameter of the cone would be:
Radius (r) = 6 cmHeight (h) = 5 cmDiameter (d) = 12 cmLearn more about volume of cone on:
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Answer:
Here is the answer as a picture.
How many solutions to this
Answer:
one-solution
Step-by-step explanation:
1-12-3b=-3b+15
-11-3b=-3b+15
-3b=-3b+15+11
3b-3b=26
b=26
An armchair was purchased for a cost price of $380 and marked up to a retail price. It was then
discounted by 10% to a sale price of $427.50 . What is the percentage mark-up from the cost price
to the retail price?
Answer:
17.764% up
Step-by-step explanation:
i hope this helped
The required percentage markup from the cost price to the retail price is 1.25%.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
An armchair was then discounted by 10% to a sale price of $427.50.
Cost of armchair then = 427.50 - 10% × 427.50
The cost of the armchair then = $384.75.
Now, the cost of the armchair is given $380.
Percentage mark up is given as = 387.75 - 380 / 380 × 100% = 1.25%
Thus, the required percentage markup from the cost price to the retail price is 1.25%.
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What would the answer be, also how do I work it out ?
Answer:
The distance is √58
or 7.61577...
Step-by-step explanation:
If you draw a right triangle where the given line is the hypotenuse you can use Pythagorean theorem (a²+b²=c²) to find the length.
It would be 7 units tall and 3 units wide.
7²+3²=49+9=58
The distance is √58