Answer:
g/22.3 = n
Step-by-step explanation:
what is the slope of the shown below?
Write an exponential function in the form y=ab^x that goes through points (0,7) and
(9, 3584).
Answer:y=7(2)^x
Step-by-step explanation:
The exponential function in the form y=ab^x that goes through the given points is f(x) = 7(2)ˣ.
What are Exponential Functions?Exponential functions are functions where the independent variable, x is in the exponent.
The general form of exponential function is,
f(x) = abˣ
The function passes through (0,7) and (9, 3584).
Substituting (0, 7),
7 = a b⁰
7 = a (since b⁰ = 1)
So, a = 7
Function is f(x) = 7bˣ
Now Substituting (9, 3584),
3584 = 7 b⁹
b⁹ = 3584 / 7
b⁹ = 512
b⁹ = 2⁹
b = 2
So the function is f(x) = 7(2)ˣ
Hence the function is f(x) = 7(2)ˣ.
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F(x)=2x-10 when x=-3, 0, and 8.
Answer:
2x=10
Step-by-step explanation:
2x+7=3(x-4) type out your steps
Answer:
x=19
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2x+7=3(x−4)
2x+7=3(x−4)
2x+7=(3)(x)+(3)(−4)(Distribute)
2x+7=3x+−12
2x+7=3x−12
Step 2: Subtract 3x from both sides.
2x+7−3x=3x−12−3x
−x+7=−12
Step 3: Subtract 7 from both sides.
−x+7−7=−12−7
−x=−19
x=19
Please Help! :)
Solve for X. The polygons in each pair are similar.
Answer:
x=2.65
Step-by-step explanation:
First, we need to figure out how much the length of the sides is changing between the equations. In this case it is changing by a factor of 2.5. Now we need to work backwards. First use this equation:
[tex]4x-5*2.5=14[/tex]
This is because whatever the length of the side with x is, will be 14/2.5. So divide both sides by 2.5:
[tex]4x-5=5.6[/tex]
Next, add 5 to both sides:
[tex]4x=10.6[/tex]
Then divide both sides by 4:
[tex]x=2.65[/tex]
550 visitors paid for admission to Hope State Park during one week. Of those 550 visitors, 3/5 of them purchased guide books. How many visitors purchased guide books?
Answer:
the number of visitors purchased guide books is 330 visitors
Step-by-step explanation:
The computation of the number of visitors purchased guide books is shown below;
= Number of visitors × visitors purchased guide books
= 550 × 3 ÷ 5
= 330
Hence, the number of visitors purchased guide books is 330 visitors
Given that slope = -1 and a point (3,-1), write an equation in slope-intercept form of the line?
Answer:
Step-by-step explanation:
point-slope equation of the line: y+1 = -(x-3)
rearrange to solve for y:
y+1 = -x+3
y = -x + 2 slope-intercept form
Answer:
y = -x + 2
Step-by-step explanation:
We are given that a line has a slope of -1 and passes through the point (3, -1)
We want to write the equation of this line in slope-intercept form
Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y intercept
As we are already given the slope, we can immediately plug its value into y=mx+b.
Replace m with -1 in y=mx+b.
y = -x + b (there's no need to write -1 in front of x. If -1 is the coefficient in front of a variable, just writing a minus sign in front of the variable is enough).
Now we need to find b.
As the equation passes through the point (3, -1), we can use it to help solve for b.
Substitute 3 as x and -1 as y.
-1 = -3 + b
Add 3 to both sides
2 = b
Substitute 2 as b in the equation so far.
y = -x + 2
Topic: finding the equation of the line (in slope-intercept form).
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Gina is making $20 an hour. She receives a 10% raise. If gina works 40 hours a week, how much more money will she make each week?
Answer:
880
Step-by-step explanation:
20 x 10% = 2
20 + 2 = 22
22 x 40 = 880
The graphs below have the same shape. What is the equation of the red graph?
g(x)= ?
f(x) = x2
g(x) =
A g(x) = x - 2
B. (X) = (x - 2)2
O c. lx) = 8+2
D. g(x) = (x + 2)2
Answer:
C is the answer
Step-by-step explanation:
The equation of the red graph is [tex]x^{2} +2[/tex].
What is the equation of parabola whose vertex is (h, k)?The equation of the parabola whose vertex is (h, k) is
[tex]y = a(x-h)^{2} + k[/tex]
According to the given question.
We have a graph for the function f(x) and g(x).
[tex]f(x) =x^{2}[/tex]..(i)
⇒ the equation of parabola whose vertex is (0, 0)
Since, we know the standard form of the equation of parabola is
[tex]y = a(x-h)^{2} +k[/tex]
Substitute h = 0 and k = 0 in the above equation.
⇒ [tex]y = a(x-0)^{2} +0[/tex]
⇒ [tex]y = ax^{2}[/tex]..(ii) (where, y = f(x))
On comparing the first two equations we get a = 1.
From the graph we can see that g(x) is a equation of parabola, whose vertex is (0, 2).
Therefore, the equation for red graph is given by
[tex]g(x) =a(x-0)^{2} + 2[/tex]
[tex]g(x) = 1x^{2} +2[/tex] (because a = 1)
⇒ [tex]g(x) = x^{2} +2[/tex]
Hence, option c is correct.
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Sandra was 13 years old on her last birthday, and she will be 15 years old on her next birthday. How is that possible
Answer:
on her last bday she was 13, this year she will be turning 14. then next year she would be turning 15 years old.
Step-by-step explanation:
-48 -(-6) +-45 what is the answer?
Answer:
-87Step-by-step explanation:
−48−(−6)−45
=−42−45
=−87
Answer:
-87
Step-by-step explanation:
OPEN MIDDLE - Building Shelves 1 Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to make the following problem true: Ricky is building ? sets of shelves for the office. It takes him ?? minutes to do each set of shelves. He'll be done building the sets in ? hours. Tags 3.MD.1 DOK 2: SKILL/CONCEPT CHASE ORTON Ricky is building sets of shelves for the office. It takes him minutes to do each set of shelves. He will be done building shelves in hours. 0 1 2 3 4 5 6 7 8 9
Answer:
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A teacher Ask for students To write three side lengths that will not make a triangle and describe why.
Answer:
2, 5, 9
Step-by-step explanation:
The two shorter sides added together must be longer than the third side or they cannot make a triangle.
PLZZ HELP MARKING BRAINLEIST
Answer:
Length of side QP = 5
The diameter of a circle is 6 cm find the circumference to the nearest tenth
Answer:
28.3
Step-by-step explanation:
If this answer helped you then please like this and consider marking it as brainliest :)
Answer:
18.85 cm
Step-by-step explanation:
What is 0.85 divided by 0.0527?
Answer:
16.1290322581
.........
Can someone help me with Geometry?
Answer:
6x + 2 is your answer I THINK
Someone tell me is this 1/5
Answer:
4/15
Step-by-step explanation:
3/5-1/3
9-5/15
=4/15
I ain't really sure
help asap pleasee!!!
Solve for x in the partial spiral below.
Answer:
[tex] x = \sqrt 5[/tex]
Step-by-step explanation:
On solving by Pythagoras theorem:
(Going in counterclockwise direction)
For bottom most triangle :
Length of Hypotenuse [tex] = \sqrt {1^2 +1^2} =\sqrt {1+1}=\sqrt 2[/tex]
The for second triangle :
Length of Hypotenuse [tex] = \sqrt {(\sqrt 2) ^2 +1^2} =\sqrt {2+1}=\sqrt 3[/tex]
The for third triangle :
Length of Hypotenuse [tex] = \sqrt {(\sqrt 3) ^2 +1^2} =\sqrt {3+1}=\sqrt 4 = 2[/tex]
The for fourth triangle :
x [tex] = \sqrt {(2) ^2 +1^2} =\sqrt {4+1}=\sqrt 5 [/tex]
The x value for the given partial spiral is √5 units.
We need to solve for x in the partial spiral given.
What is Pythagora's theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
From the right triangle 1:
Let the hypotenuse be a.
So, a²=1²+1²
⇒a=√2
From the right triangle 2:
Let the hypotenuse be b.
So, b²=(√2)²+1²
⇒b=√3
From the right triangle 3:
Let the hypotenuse be c.
So, c²=(√3)²+1²
⇒b=√4=2
From the right triangle 2:
The hypotenuse=x
So, x²=2²+1²
⇒x=√5
Therefore, the x value for the given partial spiral is √5 units.
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Multiply (4x - 3)(5x + 2) using the area model.
Answer:
[tex]20x^{2}[/tex]-7x-6
Step-by-step explanation:
What fraction is equivalent to 0.45 ? (in lowest terms)
Consider the triangle below.
Determine the angle measure for angle A and angle M in order for triangle GAM to be classified as an isosceles triangle.
Given :
▪︎Measure of ∠G = 64°
▪︎△GAM is an isosceles triangle.
We know that :
▪︎The opposite base angles of an isosceles triangle are always equal.
Let the measure of ∠A be x.
Then, the measure of ∠M will also be x.
Which means :
[tex] = \tt64 + x + x = 180[/tex]
[tex] = \tt64 + 2x = 180[/tex]
[tex] = \tt2x = 180 - 64[/tex]
[tex] =\tt 2x = 116[/tex]
[tex] =\tt x = \frac{116}{2} [/tex]
[tex] = \tt \: x = 58[/tex]
Since the sum of all these angles is equivalent to 180°[64+58+58=180], we can conclude that we have found out the correct measure of each of these angles.
▪︎Therefore :Measure of ∠A = 58°
Measure of ∠M = 58°
What has the same value as 75% of 96
Answer:
72
Step-by-step explanation:
75% of 96 = 0.75 x 96
= 72
Please , I’m so bad at math help on how to find the answers would be nice
Answer:
2nd one is 4.48
Step-by-step explanation:
Which equation best represents the relationship between x and y in the graph? * 2 points
Answer:
The answer is y=2x+2
Step-by-step explanation:
Can someone help me with this please?
The number of DVD's sold at Fry's Electronics in a month was 920 and the number of DVD's sold decreased by 12 per month. The number of Blu-ray discs sold at Fry's Electronics in the same month was 502 and the number of Blu-ray discs sold increased by 26 per month. Write a system of equations to model th situation. If this trend continues, in how many months will the number of DVD's sold each month equal the number of Blu-ray discs sold each month? How many each disc is sold in that month?
Answer:
11 months
788 disc
Step-by-step explanation:
Let
x = number of months
Fry's Electronics;
= 920 - 12x
Blu-ray discs:
= 502 + 26x
Equate both equations
920 - 12x = 502 + 26x
920 - 502 = 26x + 12x
418 = 38x
x = 418/38
x = 11 months
number of months = 11
Substitute 11 into any of the equation
Fry's Electronics;
= 920 - 12x
= 920 - 12(11)
= 920 - 132
= 788 disc sold in that months
can someone help me
Answer:
6
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
So we know that:
5x-10 = 20
5x=20+10
5x=30
x=6
hope this helps :)
Use slope to determine whether the lines AB and CD are parallel, perpendicular, neither, or the same line for the points: A (3,5), B(−2,7), C(10,5), D(6,15)
Answer: your answer would be A
Step-by-step explanation:
When the product of the slopes of two lines is -1.
The lines are perpendicular.
When the product of the slopes of two lines is 1.
The lines are on the same line.
When the slopes of two lines are the same.
The lines are parallel.
slope of AB x slope of CD = 1
The lines are on the same line.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
A (3,5), B(−2,7), C(10,5), D(6,15).
When the product of the slopes of two lines is -1.
The lines are perpendicular.
When the product of the slopes of two lines is 1.
The lines are on the same line.
When the slopes of two lines are the same.
The lines are parallel.
The line AB.
Slope = (7 - 5) / (-2 - 3) = 2 / -5 = -2/5
The line CD.
Slope = (15 - 5) / (6 - 10) = 10 / -4 = -5/2
Now,
slope of AB x slope of CD.
= -2/5 x -5/2
= 1
This means,
The lines are on the same line.
Thus,
slope of AB x slope of CD = 1
The lines are on the same line.
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