If choice A says the two functions intersect at x = -2, then it would be the correct answer. Though it seems the "x=" part is left off. I'm not sure if this is intentional, or a typo.
The correct option is A) f and g intersect at x = -2
Step-by-step explanation:
Given :
x = -2 is a solution to the equation f(x) = g(x).
Solution :
x = -2 must be an intersection point of the equations f(x) and g(x) because
f(x) = g(x). And the point x = -2 satisfy both the equations.
Therefore, the correct option is A) f and g intersect at x = -2.
For more information, refer the link given below
https://brainly.com/question/13373561?referrer=searchResults
at a clothing store 3 shirts and 8 hats cost $65. the cost for 2 shirts and 2 hats is $30. how much does each shirt and hat cost
Answer:
For the $30 2 shirts and 2 hats each one would be $7.50.
For the $65 3 shirts and 8 hats each one would be $5.90
Step-by-step explanation:
Answer:
A shirt x cost $11
and a hat y cost $4
Step-by-step explanation:
Step one
This is a word problem and we can tackle it by expressing it Mathematically
Let us initialize shirt as "x" and hat as "y"
Now
1. 3 shirts and 8 hats cost $65
Mathematically
3x+8y= 65 - - - - - - - 1
2. the cost for 2 shirts and 2 hats is
$30
Mathematically
2x + 2y = 30---------2
We now have two equations with two unknowns
We can solve for the unknown simultaneously
Step a. Multiply equation one by 1
And equation two by 4
3x+8y= 65 - - - - - - - 1
8x + 8y = 120------------2
Step b
Subtracting equation one from two
3x+8y= 65 - - - - - - - 1
-(8x + 8y = 120) ------------2
=-5x+0=-55
-5x=-55
5x=55
x=55/5
x=11
Substituting the value of x in any of the equation above to solve for y say equation 2
2(11) + 2y = 30
22+2y=30
2y= 30-22
2y= 8
y= 8/2
y= 4
Hence a shirt x cost $11
And the hat y cost $4
The formula used for this is a^2+b^2=c^2, I don't really get this problem.
Answer:
127.3
Step-by-step explanation:
The formula you gave is is known as the Pythagorean Theorem.
It is used to find the hypotenuse (longest side) of a right triangle with the lengths of the other two legs (sides).
Here, a is the hypotenuse of two adjacent triangles. Both triangles are right triangles, and have legs (not including the hypotenuse) of 90 ft.
Now, the formula is a^2 + b^2 = c^2.
A and b are the two shorter legs of the triangle: 90 and 90. Let's insert these values into the formula.
90^2 + 90^2 = c^2
90^2 is 8100, and 8100 plus 8100 is 16200.
16200 = c^2 (c is the hypotenuse, or a)
Now, we just have to find the square root of 16200.
sqrt16200=127.27....
When we round this to the nearest tenth, we get 127.3.
Does the point (2,2) lie on the circle (x-4)^2+(y-2)^2=4
Answer:
Yes, see attached plot
Step-by-step explanation:
PLEASE HELP 49 POINTS@
show your work!
Answer:
Step-by-step explanation:
Yes it is because it can be written in the form y=kx.(y=5/9x)
The constant variation would be 5/9.
Pretty sure this is correct but if not, sorry! Hope this helps.
Answer:
This is a direct variation where the constant of variation is 5/9
Step-by-step explanation:
The equation for direct variation is y = kx
5x-9y =0
Lets try to get this equation in the above form
Add 9y to each side
5x-9y +9y = 9y
5x = 9y
Divide each side by 9
5/9 x = 9y/9
5/9x = y
This is in the form y = k x where k =5/9
Solve the equation for m
km + 5x = 6y
Subtract 5x from each side:
km = 6y - 5x
Divide both sides by k:
m = 6y - 5x / k
Answer:
Step-by-step explanation:
m=-5x/k+6y/k
why is 4b-7-3b+9 equal to b+2
What is the value of X im the figure?
Answer:
x=36
Step-by-step explanation:
< CAB and <EAD are vertical angles and vertical angles are equal
<CAB = <EAD
36 = x
Compare |0.525| and |−0.067|.
The absolute values of 0.525 and -0.067 are 0.525 and 0.067, respectively. Therefore, |0.525| is greater than |-0.067|.
Explanation:To compare the absolute values of 0.525 and
-0.067
, we need to understand what absolute value means. The absolute value of a number is the non-negative value of that number without regard to its sign. So, for both positive and negative numbers, the absolute value is always positive or zero.
The absolute value of any number is represented by two vertical lines on either side of the number, for instance, |0.525| and |-0.067|. When we calculate these:
|0.525| is simply 0.525 since it is already a positive number.|-0.067| is 0.067 because we remove the negative sign to find the absolute value.Comparing the two absolute values, we see that 0.525 is greater than 0.067. Therefore, |0.525| > |-0.067|.
In triangle ABC, mA 55, mB-30, and a 8. Which equation should you solve to find b?
Answer: C . sin55/8 = sin30/b
Answer:
C. [tex]\frac{\text{Sin 55}^{\circ}}{8}=\frac{\text{Sin 30}^{\circ}}{b}[/tex]
Step-by-step explanation:
We have been given that in triangle ABC, mA 55, mB-30, and a 8. We are asked to find the equation that we can use to solve the length of side b.
We will use law of sines to solve our given problem.
[tex]\frac{\text{Sin A}}{a}=\frac{\text{Sin B}}{b}=\frac{\text{Sin C}}{c}[/tex], where A, B and C represents angle of a triangle corresponding to sides a, b and c respectively.
Upon substituting our given values in law of sines we will get,
[tex]\frac{\text{Sin 55}^{\circ}}{8}=\frac{\text{Sin 30}^{\circ}}{b}[/tex]
Therefore, the option C is the correct choice.
Write the value of c that makes x^2+12x+c a perfect square trinomial.
Answer:
c = 36
Step-by-step explanation:
Use the formula (b/2)^2 to solve for the max or min.
ax^2 + bx + c
b = 12
(12/2)^2
6^2 = 36
You can check you work
y = x^2 + 12x + 36
y = (x + 6) (x + 6) It works!
Answer:
D 36
Step-by-step explanation:
URGENT!! Which shape has six square, flat sides that are equal in size?
Answer: cube
Step-by-step explanation:
Think of a box .... it has 4 sides, a top, and a bottom = 6 total sides
The shape with six equal square, flat sides is known as a cube.
Explanation:A cube is a three-dimensional geometric shape characterized by six equal square faces. Each face of the cube is identical, and the shape is formed by connecting these faces at right angles. This regular polyhedron is fundamental in mathematics and has practical applications in various fields. Cubes are extensively used in geometry, trigonometry, and calculus to illustrate concepts such as volume and surface area. In addition to its mathematical significance, cubes are prevalent in everyday objects like dice and building blocks. Understanding the properties of cubes is crucial in engineering and architecture, where it aids in designing structures and solving spatial problems efficiently.
Learn more about Cube here:https://brainly.com/question/28134860
#SPJ3
A rectangle has a width of 9 cm, and a diagonal of 15 cm. Find the length.
Answer:
87857570
Step-by-step explanation:
What are he solution(s) of the quadratic equation 98-x^2=8
Answer:
x = -3√10 and x = 3√10
Step-by-step explanation:
98-x^2=8
x^2 = 98 - 8
x^2 = 90
x = +/- 3√10
Answer:
[tex]\pm3\sqrt{10}[/tex]
Step-by-step explanation:
The solution to an equation is when the equation is equal to 0 (also known as the roots/x intercepts.)
[tex]98-x^2=8\\-x^2=-90\\x^2=90\\x=\pm\sqrt{90} \\x=\pm3\sqrt{10}[/tex]
Who knows how to solve this problem ”Surface Area-Prisms”?
Answer: You lay out the 3 demential shape into a net then find the area of the net. There are 2 surfaces that are 81 square feet. and 4 surfaces that are 18 feet. 81 + 81 + 18 + 18 + 18 + 18 = 234.
The surface area is 234 Square Feet. Hope this helps and brainliest is always appreciated. :)
Answer: 234
Step-by-step explanation:
Surface area of a rectangular prism: 2lengthheight + 2lengthwidth + 2heightwidth
Length: 9 | Height: 9 | Width: 2
2(9x9) + 2(9x2) + 2(9x2) = 234
Can someone do this for me thank you
Answer:
I think is (A)
They got same y intercept
they both cross at 0
but they are opposite graph like X
Step-by-step explanation:
Evaluate the expression when b=4 and y= -5
-b+5y
Answer:
-29
Step-by-step explanation:
-b+5y
We know that b=4 and y= -5
We can substitute these into the expression
-(4) +5(-5)
-4 -25
-29
What’s the actual distance = yards?
Answer:
120 yards
Step-by-step explanation:
A map scale is a ratio.
1 inch : 30 yards
Multiply both sides of the ratio by 4.
4 * 1 inch : 4 * 30 yards
4 inches : 120 yards
Answer:
So we know 4 inches is 120 yds
Step-by-step explanation:
We can use ratio's to solve this problem
1 inch 4 inch
------------ = --------------
30 yds x yds
Using cross products
1 * x = 30*4
x = 120
So we know 4 inches is 120 yds
Distance formula
D = ( x2 - x1)2 + (y2 - y1)2
Use the distance formula to find the distance between each set of the points:
(1,4) and (-2,3)
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(-2-1)^2+(3-4)^2}\implies d=\sqrt{(-3)^2+(-1)^2} \\\\\\ d=\sqrt{9+1}\implies d=\sqrt{10}[/tex]
To find the distance between two points (1,4) and (-2,3) using the distance formula, perform the relevant calculations and steps.
Explanation:To find the distance between two points using the distance formula, you can follow these steps:
Identify the coordinates of the two points. In this case, the coordinates are (1,4) and (-2,3).Plug the values of the coordinates into the distance formula: D = (√((x2 - x1)^2 + (y2 - y1)^2)).Calculate the difference between the x-coordinates and the y-coordinates separately. For this example, (x2 - x1) = (-2 - 1) = -3, and (y2 - y1) = (3 - 4) = -1.Square the differences calculated in the previous step: (-3)^2 = 9 and (-1)^2 = 1.Add the squared differences together: 9 + 1 = 10.Take the square root of the sum to find the distance: √10 ≈ 3.16.So, the distance between the points (1,4) and (-2,3) is approximately 3.16 units.
Learn more about Distance Formula here:https://brainly.com/question/25841655
#SPJ3
please help idk how to do this as I was never taught exactly how, answer fast please.
Answer:
(- 2, - 1)
Step-by-step explanation:
To determine which ordered pair is a solution of the inequality, substitute the x-coordinate into the left side and compare validity with the y-coordinate
(- 2, - 1)
- 6 + 5 = - 1 = - 1 → (- 2, - 1) is a solution
(2, - 1)
6 + 5 = 11 > - 1 → (2, - 1) is not a solution
(3, - 5)
9 + 5 = 14 > - 5 → (3, - 5) is not a solution
(- 3, - 5)
- 9 + 5 = - 4 > - 5 → is not a solution
The only pair that makes the inequality true is (- 2, - 1 )
HELP WILL MARK AS BRAINLYIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Select the locations on the number line to plot the points 13/8 and 20/8 .
Answer:
Step-by-step explanation:
You plot 13/8 on 1 and 5/8
You plot 20/8 on 2 and 4/8 also known as 1/2
Solve equation for a=
Answer:
Alright well solve for a by multiplying both sides of the equation, then isolating the variable
a = 2b/5 + c/5 Hope this helps have a nice day :)
Step-by-step explanation:
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Lou's car had 6.2 gallons in the 14-gallon tank on the coldest day of the year. Lou filled the tank with gas that cost $3.70 per gallon. How much did Lou spend on gas?
Answer:
It will cost Lou $28.86 to fill the tank
Step-by-step explanation:
Lou's tank holds 14 gallons. It has 6.2 gallons in it.
14- 6.2 = 7.8
Lou can put in 7.8 gallons to fill it.
7.8 gallons and $3.70
7.8 * 3.7 = $28.86
It will cost Lou $28.86 to fill the tank
If Michael bought the 5 m how many inches did she walk
Answer:
1 meter = 39.370 inches.....so 5 meters = (5)(39.370) = 196.85 inches
A zookeeper thinks there is a problem with the naked-mole rat population at the zoo. He starts keeping track of the animals in the tunnels. 7 days into his monitoring he counts 120 mole rats. 13 days in he counts 108.
1.) write an equation in point-slope form that represents the situation (define your variables)
2.) convert your equation to slope-intercept form
In this exercise we have to use the knowledge of equations to write the intersection equation, so we have to:
The formula for setting up an equation is given by:
[tex](y - y1) = m(x - x1)[/tex]
1.) So by the formula above, substituting for the values given in the statement, then:
[tex](y - 120) = -2(x - 7)[/tex]
2.) The equation in slope intercept form will be:
[tex](y - 120) = -2(x - 7)\\(y - 120) = -2*x + (-2*-7)\\y - 120 = -2x + 14\\y = -2x + 134[/tex]
See more about slope intercept at brainly.com/question/3605446
PLEASE HELP ME!
Sketch the linear function f(x) = 1/2(3x + 1)
1. Which key feature of the graph is true?
A) y-intercept (0, −1)
B) x-intercept (1/6,0)
C) x-intercept (1/3, 0)
D) y-intercept (0, 1/2)
Answer:
it's C
Step-by-step explanation:
Answer: c
x-intercept ( 1 /3 , 0)
Step-by-step explanation:
Is y = 1/4x^0.5 a power function? Explain your reasoning.
Answer:
[tex]y =\displaystyle\frac{1}{4}x^{0.5}[/tex]
It is a power function.
Step-by-step explanation:
We are given the following function in the question:
[tex]y =\displaystyle\frac{1}{4}x^{0.5}[/tex]
We have to check whether the given function is a power function or not.
Power Functions :
A power function is of the form:[tex]f(x) = ax^p,[/tex]
where a is a constant and not equal to zero and p is a real number.
Comparing the given function, we get:
[tex]a = \displaystyle\frac{1}{4}\\\\p = 0.5[/tex]
Hence, the given function is a power function.
The equation y = 1/4x^0.5 is a power function because it fits the general form of a power function, y = ax^n, with a constant coefficient and a real number exponent.
Explanation:Yes, the function y = 1/4x^0.5 is indeed a power function. A power function is of the form y = ax^n, where a is a constant and n is a real number, representing the power of x. In the given function, a is equal to 1/4, and n is 0.5, which is equivalent to the square root of x (since raising a number to the 0.5 power is the same as taking its square root).
Therefore, we can express the square root of x as x raised to the power of 1/2, fitting the form of a power function.
divide 9 by w, then subtract v from the result
Answer:
9/w=x(your result)
x-v=( your final answer )
Please mark my answer as brainliest
Step-by-step explanation:
100 points!A plumber charges a flat rate for coming to a person’s home and then charges an hourly rate for the amount of time he spends there. The amount of money he charges is given by the function equation C = 75 + 40t, where C is the amount he charges and t is the time he spends at a home in hours. What is the meaning of the vertical intercept in this equation? A. The plumber charges $40/h. B. The plumber charges $75/h. C. The plumber charges a flat rate of $40. D. The plumber charges a flat rate of $75.
Answer:
D. The plumber charges a flat rate of $75.
Step-by-step explanation:
The vertical intercept is the point where the data intersects the vertical axis. The vertical axis will be the dependent variable, and the horizontal axis will be the independent variable.
In this situation, the total cost depends on how many hours the plumber works; this means that the total cost is the dependent variable, going on the vertical axis, and the number of hours is the independent variable, going on the horizontal axis.
The vertical intercept, since it is on the vertical axis, will be where the horizontal axis is 0. In this situation, this means the cost when the plumber has been there 0 hours; this is the flat-rate fee he charges, $75.
Write the numbers in order from least to greatest -5.25 1.002 -5.09
Answer:
XD ok first cause u need to know how to do this (-)negetive numbers r eazy its just backwards from other numbers, if the the number has a (-) then just remember its smaller if the number is big so if it say -5 and -4 which one is grater or something its realy the smaller one cause it has a (-) so the answer would be -4 is bigger. ok so for your Q the smallest to gratest would be fist the biggest normal number that dose not have a (-) then after that you do the (-) numbers... - 5.25 is bigger , but it has a (-) so its realy actualy smaller, and -5.09 is bigger that -5.25 because its smaller with a (-) SO THE ANSWER to your Q is: -5.25, -5.09, 1.002
Step-by-step explanation:
Please Help ! I Dont Know What The Answer Is
Answer:
2x2=6
Step-by-step explanation: