Answer:
1.
Y would equal to 449 after plugging in 12 for x
2.
Y would equal to 239 after plugging 7 in for x
Step-by-step explanation:
We just have to plug in the values give too us and find what y equals.
1.
y=42(12)-55
y=504-55
y=449
2.
y=42x-55
we just have to plug in 7 for x.
y=42(7)-55
42*7=294
y=294-55
y=239
Which quotient does not belong with the other three? Explain your reasoning.
Answer:
The third from the top does not belong with the others.
Step-by-step explanation:
With the exception of the 3rd quotient, the expressions all involve powers of the same base. There is an exponent property that can be used in such a situation:
[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
but the base, a, must be the same in both parts of the quotient!
The first equation in the system is graphed below. Graph the linear equation on the coordinate plane and use the Mark Feature tool to place a point at the solution(s) of the system.
Answer:
(0,-7) and (-7,0)
Step-by-step explanation:
Answer:
(4,6) and (-2,6) Then you draw a line between these two points.
Step-by-step explanation:
what is 2x=16 i to explan it
Answer:
2x=16
/2 /2
x=8
Step-by-step explanation:
just need to isolate the x, by dividing by two on both sides.
hope this helps :)
Answer:
x=8
Step-by-step explanation:
2x=16
Isolate the variable by diving by 2 on both sides
2x=16
÷2 ÷2
so, x=8
OMG PLEASE HELP FAST, Write the equation of the line in fully simplified slope-intercept form.
The equation of the line in the attached graph in slope intercept form is written as
y = -6x + 2How to write the equation of the lineThe slope, m of the linear function is calculated using the points on the graph (1, -4) and (2, -10)
m = (y₀ - y₁) / (x₀ - x₁)
plugging in the values and evaluating
m = (-10 + 4) / (2 - 1)
m = (-6) / (1)
m = -6
equation passing through point (2, -10), using the point slope formula
(y - y₁) = m (x - x₁)
y - (-10) = -6(x - 2)
y + 10 = -6x + 12
rearranging the equation
y = -6x + 12 - 10
y = -6x + 2
The equation of the line in slope intercept form is written as y = -6x + 2
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Please help! This is due soon
Answer:
slope is 1/2
Step-by-step explanation:
x^5 multiplied by x^3 /x^4
Answer:
x^4
Step-by-step explanation:
[tex]x {}^{5} \times \frac{x {}^{3} }{x {}^{4 \\ } } \\ \\ \frac{ {x}^{8} }{x {}^{4} } \\ \\ x {}^{8 \: - \: 4} \\ {x}^{4} [/tex]
The lines given by the equations y = 2x and y = 2x + 1 are
A. parallel
B. perpendicular
C. neither perpendicular nor parallel
Answer:
A. parallel
Step-by-step explanation:
when the slopes are the same it's parallel
when slopes are multiplied and they equal -1 it's perpendicular
A triangle has side lengths 4.9 cm, 7.3 cm, and 8 cm. The angle measures are 36°, 64°, and 80°. What type of triangle is this triangle? please help for 15 points
Answer:
scalene acute triangle
Step-by-step explanation:
By looking at the side lengths, we can see that all of them are different, meaning the triangle is scalene. Next, we can notice that all of the angles are less than 90 degrees, meaning the triangle is acute. Putting this together, we get the triangle is a scalene acute triangle.
If a supermarket sells 5 bags of grapes for Rs. 16.60, what is the unit price of a bag of grapes?
A. 3.32
B. 4.32
C. 5.32
D. 2.32
Answer:
It's A
Step-by-step explanation:
What is the inverse of the logarithmic function f x log9x?
The inverse of the logarithmic function f x log9x is f-1(x)=9^x.
The inverse of a logarithmic function is the exponential function. To find the inverse of the logarithmic function f x log9x, we can use the following equation: f-1(x)=9^x. This equation states that the inverse of the logarithmic function f x log9x is the exponential function f-1(x)=9^x.
The inverse of the logarithmic function f x log9x is f-1(x)=9^x, which is the exponential function.This means that for any value of x, the inverse of the logarithmic function f x log9x is equal to 9 raised to the power of x. For example, if x=2, then the inverse of the logarithmic function f x log9x is 9^2, or 81. Similarly, if x=3, then the inverse of the logarithmic function f x log9x is 9^3, or 729. In general, the inverse of the logarithmic function f x log9x is 9 raised to the power of x, for any value of x.
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Answer: f –1(x) = 9x
Step-by-step explanation:
Kanene wants to know how much wrapping paper she needs to cover this cube. How much wrapping paper does she need?
Find the surface area
Answer:
Step-by-step explanation:
the side length of the cube is not given so i cant answer this
James purchased a gaming computer for $2,499. He anticipates each year it will decrease in value by 7.9% from the previous year. Write an exponential function that models the value in dollars of the computer x years after James's purchase.
Answer:
f(x)=2499(0.079)
Step-by-step explanation:
helppppppppppppppppp
Answer:
The common difference is 6
Step-by-step explanation:
14 - 6 = 8
8 - 6 = 2
Surface Area of Composite Figure
Find the volume of the sphere with 1 inch radius. Round your answer to the nearest tenth. Use 3.14 for Pi.
The volume of the sphere is about______in³.
Answer:
4.16 in^3
Step-by-step explanation:
Given data
Volume of sphere= 4/3πr^3
Radius= 1 inch radius
Substitute
Volume of sphere= 4/3*3.14*1^3
Volume of sphere= 4/3*3.14*1
Volume of sphere= 4*1.04
Volume of sphere= 4.16 in^3
Which quadratic function is represented by the graph?
f(x) = 0.5(x + 3)(x − 1)
f(x) = 0.5(x − 3)(x + 1)
f(x) = 2(x + 3)(x − 1)
f(x) = 2 (x − 3)(x + 1)
Answer:
f(x) = 0.5(x + 3)(x − 1)----------------------------------
hope it helps..
have a great day!!
Answer:
[tex]f(x) = 0.5(x+3)(x-1)[/tex]
Step-by-step explanation:
GIVEN :-
A quadratic function is represented by the graph in which :-
Vertex of the parabola = (-1 , -2)The function intersects x-axis at (-3 , 0) and (1 , 0)Y-intercept of the function = -1.5TO FIND :-
The quadratic functionGENERAL CONCEPT USED IN THIS QUESTION :-
A quadratic function has 2 forms :-
General form → f(x) = ax² + bx + cStandard form → f(x) = a(x - h)² + k [∵ where h = x-coordinate of the vertex of the function & k = y-coordinate of the vertex of the function.]SOLUTION :-
The quadratic function in the graph intersects x-axis at two points (-3 , 0) & (1 , 0). But there are infinite parabolas which also intersect the same two points. And those parabolas have their unique quadratic function.
Method 1 (System of equations method) -To find the unique quadratic function , you need to use three points on the
curve so that you can form 3 equations & solve them.
Using the General form of quadratic function , substitute the known values for x & y.
Let the three points be -
(-3 , 0)(1 , 0)(0 , -1.5)Substitute (-3 , 0) in general form of function -
[tex]0 = a(-3)^2 + b(-3) + c[/tex]
[tex]=> 9a-3b+c = 0[/tex] (eqn.1)
Substitute (1 , 0) in general form of function -
[tex]0 = a(1)^2 + b(1) + c[/tex]
[tex]=> a + b +c =0[/tex] (eqn.2)
Substitute (0 , -1.5) in general form of function -
[tex]-1.5 = a(0)^2 + b(0) + c[/tex]
[tex]=> c = -1.5[/tex]
Substitute c = -1.5 in -
1) eqn.1 → [tex]9a - 3b - 1.5 = 0[/tex]
[tex]=> 9a - 3b = 1.5[/tex]
[tex]=> 3(3a-b) = 1.5[/tex]
[tex]=> 3a-b = 0.5[/tex] (eqn.4)
2) eqn.2 → [tex]a+b-1.5=0[/tex]
[tex]=> a+b=1.5[/tex] (eqn.5)
Add eqn.4 & eqn.5 to get the value of 'a'.
[tex](3a-b)+(a+b) = 0.5+1.5[/tex]
[tex]=> 4a = 2[/tex]
[tex]=> a = \frac{2}{4} = \frac{1}{2} = 0.5[/tex]
Substitute a = 0.5 in eqn.5 -
[tex]0.5 + b = 1.5[/tex]
[tex]=> b = 1.5 - 0.5 = 1[/tex]
Now, rewrite the function in general form by putting the values of 'a' , 'b' & 'c'.
[tex]f(x) = (0.5)x^2 + (1)x - 1.5[/tex]
[tex]=> f(x) = 0.5(x^2 + 2x - 3)[/tex]
Factorise the quadratic polynomial.
[tex]=> f(x) = 0.5(x^2 + 3x - x - 3)[/tex]
[tex]=> f(x) = 0.5[x(x+3)-1(x+3)][/tex]
∴ [tex]f(x) = 0.5(x+3)(x-1)[/tex]
Method 2 (Vertex method) -Another way to find the function is by taking any point on the curve & using the vertex of the parabola ; substitute the known values for x , y , h & k in the Standard form of the function.
Let that point on the curve be (-3 , 0)
Vertex = (-1 , -2)
Substitute the values of x , y , h & k in Standard form of function.
[tex]0 = a[-3 - (-1)]^2 + (-2)[/tex]
[tex]=> 0 = 4a-2[/tex]
[tex]=> 4a = 2[/tex]
[tex]=> a = \frac{2}{4} = 0.5[/tex]
Now rewrite the Standard form of the function by putting the values of h , k & a.
[tex]f(x) = 0.5(x+1)^2-2[/tex]
Expand it.
[tex]=> f(x) = 0.5(x^2+2x+1)-2[/tex]
[tex]=> f(x) = 0.5x^2+x+0.5-2[/tex]
[tex]=>f(x) = 0.5x^2 + x- 1.5[/tex]
[tex]=>f(x) = 0.5(x^2 + 2x - 3)[/tex]
Factorising it will give the final answer.
∴ [tex]f(x) = 0.5(x+3)(x-1)[/tex]
What is a algebraic expression for 1,10,19
The algebraic expression for the sequence 1, 10, 19, is given as a(n) = 1 + (n-1) 9.
What is algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.
For the given sequence the common difference between two consecutive terms is 19 - 10 = 9.
The general form of the nth term of an arithmetic sequence is given as:
a(n) = a + (n-1) d
Since, the value of a = 1 and the common difference d =9, the resulting expression is:
a(n) = 1 + (n - 1) 9
Hence, the algebraic expression for the given sequence is a(n) = 1 + (n - 1) 9.
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How do you solve 3 to the power of 3?
As per the power rule of exponents, the solution of 3 to the power of 3 is 27.
The term exponent in math is defined as a number shows how many times the number is multiplied by itself.
Here we have to solve 3 to the power of 3.
Here according to the Power Rule of Exponents then we have the rule as
=> aⁿ = a × a × a... (n times)
Therefore, the given expression is written as
=> 3³
Now, based on the power of exponent rule it can be rewritten as,
=> 3 × 3 × 3
Then we have to multiply the values then we get
=> 27
Therefore, the value of 3 raised to 3rd power is 27.
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Can someone please help me with this algebra
Find the EXACT values of ALL SIX trigonometric functions of θ(sin, cos, tan, cot, sec, csc) from the information given. (a) cosθ=7/12, sinθ<0 (b) tanθ=4/3, θ in Quadrant III
(a) Since cosθ = 7/12 and sinθ < 0, we can find the other four trigonometric functions as follows:
sinθ = √(1 - cos²θ) = √(1 - (7/12)²) = √(1 - 49/144) = -√(95/144)
tanθ = sinθ / cosθ = (-√(95/144)) / (7/12) = -4√(5/18)
cotθ = 1 / tanθ = -1 / (-4√(5/18)) = 1/(4√(5/18))
secθ = 1 / cosθ = 1 / (7/12) = 12/7
cscθ = 1 / sinθ = -1 / (-√(95/144)) = √(95/144)
(b) Since tanθ = 4/3 and θ is in Quadrant III, we can find the other five trigonometric functions as follows:
cosθ = √(1 / (tan²θ + 1)) = √(1 / (16/9 + 1)) = √(9 / 25) = 3/5
sinθ = cosθ * tanθ = (3/5) * (4/3) = 4/5
cotθ = 1 / tanθ = 1 / (4/3) = 3/4
secθ = 1 / cosθ = 1 / (3/5) = 5/3
cscθ = 1 / sinθ = 1 / (4/5) = 5/4
What is trigonometric functions?Trigonometric functions are a set of functions that relate the angles of a right triangle to the ratios of the sides of the triangle. The six most commonly used trigonometric functions are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).
The sine function, represented by sin, gives the ratio of the side opposite the angle to the hypotenuse. The cosine function, represented by cos, gives the ratio of the adjacent side to the hypotenuse. The tangent function, represented by tan, gives the ratio of the opposite side to the adjacent side.
The cotangent function, represented by cot, gives the ratio of the adjacent side to the opposite side. The secant function, represented by sec, gives the ratio of the hypotenuse to the adjacent side, and the cosecant function, represented by csc, gives the ratio of the hypotenuse to the opposite side.
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Before taking his last test in a class, the arithmetic mean of Brian's test scores is 91. He has determined that if he scores 98 on his last test, the arithmetic mean of all his test scores will be exactly 92. How many tests, including the last test, does Brian take for this class
On solving the provided question, we can say that the mean that 6 tests including the last test brian took.
What is mean?A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the dataset's total number of values by the sum of all of those values yields this result. Both raw data and data that have been combined into frequency tables can be used for calculations. Average refers to a number's average. It is straightforward to calculate: Divide by how many digits there are after adding up all the digits. the total divided by the count.
(91n + 98) / (n + 1) = 92
91n + 98 = 92(n + 1)
91n + 98 = 92n + 92
98 = n + 92
6 = n
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Points D, B, and E are collinear. Find the value of a so that points A, B, and C
are collinear.
Answer: x = 14
Step-by-step explanation:
For points A, B, and C to be collinear, angle ABD and EBC must be vertical angles. Vertical angles are congruent so we will set them equal to each other and solve for x.
Given:
126 = 9x
Divide both sides of the equation by 9:
14 = x
Reflexive property:
x = 14
Look down below for the question
Answer:
1.centre
2.chord
3.chord
4.radius
5.diameter
BRAINLY ME PLEASE IF HELPFUL!!!
Solve x^2+2x>15 algebraically and graphically, brainliest to the best detailed answer, including the steps.
The algebraic solutions are x < -5 and x > 3.
The graph is given below.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
x² + 2x > 15
x² + 2x - 15 > 0
x² + (5 - 3)x - 15 > 0
x² + 5x - 3x - 15 > 0
x(x + 5) - 3(x + 5) > 0
(x - 3)(x + 5) > 0
x + 5 > 0 and x - 3 > 0
x < -5 and x > 3
The graph is given below.
Thus,
x < -5 and x > 3 is the solution.
The graph is given below.
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I WILL GIVE YOU BRAINLY PLS
Each time a student scores an 80% or higher on a quiz, a teacher puts a raffle ticket
in a jar. At the end of the quarter the teacher draws three tickets. Does EVERY
student in the class have a fair chance of having their name drawn when the teacher
draws the names for the raffle? Why or why not?
To be honest I don't know❤️
choose vertical or adjacent to tell how each pair of angles is related
Answer:
1 and 2 is adjacent. 1 and 3 are vertical. 3 and 4 are adjacent. 2 and 4 are vertical angles.
Angles ∠1 and ∠2 as well as angles ∠3 and ∠4 are linear and supplementary angles. And angles ∠2 and ∠4 as well as ∠1 and ∠3 are vertically opposite angles.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.
Angles ∠1 and ∠2 are linear and supplementary angles.
Angles ∠1 and ∠3 are vertically opposite angles.
Angles ∠3 and ∠4 are linear and supplementary angles.
Angles ∠2 and ∠4 are vertically opposite angles.
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Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.
Answer:
vertex form: y = (x + 3)² + 1 the vertex is minimum coordinates of the vertex: (-3, 1)Step-by-step explanation:
[tex]y=x^2+6x+10\\\\y=x^2+6x+9-9+10\\\\\bold{y=(x+3)^2+1}[/tex]
a = 1 > 0 ← it means the parabla opens up, so, the vertex is minimum
The vertex form is y = a(x - h)² + k, where (h, k) is the vertex
So, from y = (x + 3)² + 1 the vertex is: (-3, 1)
In the adjoining figure, the area of the rectangular surfaces of the prism is 720 sq. Cm, XX' 20 cm and XY : XZ: YZ = 5:3 : 4, find the length of XY
The length of XY, with the area of the rectangular surface of the prism 720 sq.cm, XX' 20 cm and XY : XZ: YZ = 5:3:4, is 12 cm.
Area of the rectangular surface of the prism = 720 sq. cm
XX' = 20 cm
XY : XZ: YZ = 5:3:4
As we know, area of prism = 3 × area of rectangle
⇒720 = 3 × area of rectangle
⇒area of rectangle = 720/3
⇒XY × XX' = 240
⇒XY × 20 = 240
⇒XY = 240/20
⇒XY = 12 cm
Thus, the length of the XY is 12 cm.
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Solve the word problem using the RDW strategy. Show all of your work in your journal. Cheryl bought a sandwich for 5 1/2 dollars and a drink for $2. 60. If she paid for her meal with a $10 bill, how much money did she have left? Select the answer as a fraction and in dollars and cents. *
The amount that Cheryl left with is $ 1.9 or 1 dollar and 90 cents.
RDW strategy:1. READ and reread the problem first
2. DRAW an image to illustrate the information. Ask your self Can I infer anything from this information during this step? What could I doodle? Which model will best convey the information? What inferences may I draw from the illustration?
3. WRITE the drawings as a basis for your conclusions. This can be expressed as a mathematical expression, an equation, or a statement.
Given that
Cheryl bought a sandwich for 5 1/2 dollars and a drink for $2. 60
Here 5 1/2 = 11/2 = 5.5 dollars
Then the total cost of the sandwich and drink = $ 5.5 + $ 2.60 = $ 8.1
Given that Cheryl gave $ 10
The amount that Cheryl left with = $ 10 - $ 8.1 = $ 1.9
Here is $ 1.9 = 1 dollar and 90 cents
Therefore,
The amount that Cheryl left with is $ 1.9 or 1 dollar and 90 cents.
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Mr. Spears was purchasing supplies for his math classroom. He had $25 to spend. Mechanical pencils and erasers come in bundles of 10. Each eraser costs $0.50. Fill in the missing place in the equation to compute the cost of each mechanical pencil.
x+y=10 and ax+0.50y=25 are the system of equations to compute the cost of each mechanical pencil.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Mr. Spears was purchasing supplies for his math classroom.
He had $25 to spend.
Mechanical pencils and erasers come in bundles of 10
Let x represents the Mechanical pencils
y represents the erasers
x+y=10
y=10-x
Each eraser costs $0.50
ax+0.50y=25
a is the cost of the each mechanical pencil.
Hence, x+y=10 and ax+0.50y=25 are the system of equations to compute the cost of each mechanical pencil.
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