Answer:
B. f(-4) = g(-4), and f(0) = g(0)
Step-by-step explanation:
We are given two functions that have been graphed already. The points on the coordinate plane where the curve of g(x) intercepts that of f(x), are the values of x for each function, that would give us the same output (y).
Thus, for f(x) intercepts g(x) at the point where x = -4, y = 4.
Also, f(x) and g(x) intercepts at the point where x = 0, y = 4.
Therefore, the correct answer is f(-4) = g(-4), and f(0) = g(0)
could someone please answer 1 and 7:)
Answer:
1- %50
0.2008
Step-by-step explanation:
0.0008 1/5
(0.0008*5)+1=0.004+1=1.004/5
0.2008
→Answer:
1) 50%
7) 5.02
→Step-by-step explanation:
1)
Even if a coin is tossed many times and its still heads there is still 50% it is tails. It doesn't change.
7)
.0008 1/5 as a fraction.
So first we need to put .0008 into 1/5.
To do that we do .0008*5 which is .004.
So the fraction is now 1.004/5
To make that a decimal we do 1.004 divided by 5 which is 5.02
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each system of equations to its graph.
Answer:
1) y = 2x + 1
y = x + 2 Corresponding with the third graph
2) y = 3x
y = x + 3 Corresponds with the first graph
3) y = 2x - 2
y = x - 2
4) y = 2x + 3
y = x + 5
Likely correspond with the fourth graph
5) y = 4x + 2
y = 2x + 2 Corresponding with the second equation
Step-by-step explanation:
The groups of equation are;
1) y = 2x + 1
y = x + 2
The y-intercept of equation (1) = 1
The x-intercept of equation (1) = -1/2
The slope of equation (1) = 2
So at x = 0 y = 1 and at y = 0 x = -1/2 and at x = 2 y = 3
Corresponding with the third graph
The same can be shown with the second equation
2) y = 3x
y = x + 3
The y-intercept of equation (1) = 0
The x-intercept of equation (1) = 0
The slope of equation (1) = 3
So at x = 0 y = 0 and at x = 2 y = 6
Corresponds with the first graph
The same can be shown with the second equation
3) y = 2x - 2
y = x - 2
4) y = 2x + 3
y = x + 5
Likely correspond with the fourth graph
5) y = 4x + 2
y = 3x + 2
The y-intercept of equation (1) = 2
The x-intercept of equation (1) = -1/2
The slope of equation (1) = 4
So at x = 0 y = 2 and at y = 0 x = -1/2 and at x = 0.5 y = 4
Corresponding with the second equation
The same can be shown with the second equation
We have to determine, The tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each system of equations to its graph.
The groups of equation are as follows;
The given system of equation is,
[tex]y = 2x + 1\\y = x + 2[/tex]
The y-intercept of equation = 1
The x-intercept of equation = -1/2
And The slope of equation = 2
Then,
At x = 0, y = 1
And at y = 0, x = -1/2
And at x = 2, y = 3
The first and second equation Corresponding with the third graph.
The given system of equation is,
[tex]y = 3x\\y = x + 3[/tex]
The y-intercept of equation = 0
The x-intercept of equation = 0
The slope of equation = 3
So at x = 0, y = 0 and at x = 2, y = 6
The equation Corresponds with the first graph
The given system of equation is,
[tex]y = 2x - 2\\y = x - 2[/tex]
The y-intercept of equation = -2
The x-intercept of equation = 2
The slope of equation = 2
So at x = 0, y = -2 and at x = 2, y = 0
The equation Corresponds with the first graph.
The given system of equation is,
[tex]y = 2x + 3\\y = x + 5[/tex]
The y-intercept of equation = 3
The x-intercept of equation = -2
The slope of equation = 2
So at x = 0, y = 3 and at x = -5, y = 0
The equation Corresponds with the fourth graph.
The given system of equation is,[tex]y = 4x + 2\\y = 3x + 2[/tex]
The y-intercept of equation = 2
The x-intercept of equation = -1/2
The slope of equation = 4
So at x = 0 y = 2 and at y = 0 x = -1/2 and at x = 0.5 y = 4
The equation Corresponding with the second graph.
For more information about Equation click the link given below.
https://brainly.com/question/17267403
Which could be the graph of f(x) = |x - h| + k if h and k are both positive? On a coordinate plane, an absolute value graph has a vertex at (2, 1). On a coordinate plane, an absolute value graph has a vertex at (1, negative 4). On a coordinate plane, an absolute value graph has a vertex at (negative 3, 2). On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 5).
Answer:
Step-by-step explanation:
f(x) = |x - h| + k has a vertex at (h, k), where both h and k are positive. Only
"On a coordinate plane, an absolute value graph has a vertex at (2, 1)" satisfies those requirements.
The vertex of an absolute function is the minimum or the maximum point of the graph
The graph that could be [tex]f(x) = |x - h| + k[/tex] is (a) an absolute value graph has a vertex at (2, 1)
The function is given as:
[tex]f(x) = |x - h| + k[/tex]
And the coordinates of the vertex (h,k) are said to be positive.
From the list of given options, only the first option has both coordinates of the vertex to be positive i.e. (2,1)
Hence, the graph that could be [tex]f(x) = |x - h| + k[/tex] is (a)
Read more about absolute value functions at:
brainly.com/question/2166748
describe fully the single transformation that takes shape A to shape B
Answer:
Divide by 2 or -2
Step-by-step explanation:
The edges lengths have decreased:
4/2=2
2/2=1
6/2=3
Transformation involves changing the position and size of a shape.
The single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees
From the figure, we have:
The side lengths of shape A are twice as large as the side lengths of shape BShape A can be rotated 180 degrees to map onto shape B, after dilation.So, the scale of dilation from shape A to B is:
[tex]\mathbf{Scale = \frac{1}{2}}[/tex]
Hence, the single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees
Read more about transformations at:
https://brainly.com/question/11707700
dentify the type of observational study (cross-sectional, retrospective, or prospective) described below. A research company uses a device to record the viewing habits of about 50005000 households, and the data collected todaytoday will be used to determinenbsp the proportion of households tuned to a particular sportssports program.. Which type of observational study is described in the problem statement?
Answer:
- A cross-sectional study.
Step-by-step explanation:
A Cross-sectional study is demonstrated as the type of observational study in which the data or a representative subset of a population collected at a particular point in time is analyzed.
As per the given details, the observational study conducted by the research company would exemplify 'a cross-sectional study' as it aims to evaluate the data('viewing habits of about 50005000 households) collected at a specific point in time i.e. 'today' in order to 'determine the proportion of households tuning to a particular sports program.'
which point of intersection is the solution to the system of equations
y=2/5x-1/2 and 1/3x+2/3
A
B
C
D
Answer:
B
Step-by-step explanation:
(Looking at the lines in the graph, the second equation is missing a minus sign, and should be [tex]y=-\frac{1}{3}x + \frac{2}{3}[/tex])
To find the intersection point of the pair of linear equations, we just need to equate both values of y.
The equations are:
[tex]y=\frac{2}{5}x - \frac{1}{2}[/tex]
[tex]y=-\frac{1}{3}x + \frac{2}{3}[/tex]
Making the y from one equation equal the y of the other equation, we have:
[tex]\frac{2}{5}x - \frac{1}{2} = -\frac{1}{3}x + \frac{2}{3}[/tex]
[tex]\frac{2}{5}x +\frac{1}{3}x = \frac{2}{3} + \frac{1}{2}[/tex]
[tex]\frac{6}{15}x +\frac{5}{15}x = \frac{4}{6} + \frac{3}{6}[/tex]
[tex]\frac{11}{15}x = \frac{7}{6}[/tex]
[tex]x = \frac{7}{6} * \frac{15}{11} =\frac{35}{22} = 1.591[/tex]
Then the y-coordinate of the point is found using this x-value in any of the two equations:
[tex]y=\frac{2}{5}\frac{35}{22} - \frac{1}{2}[/tex]
[tex]y=\frac{7}{11} - \frac{1}{2}[/tex]
[tex]y=\frac{14}{22} - \frac{11}{22}[/tex]
[tex]y=\frac{3}{22} = 0.136[/tex]
So the coordinate of the crossing point is (1.591, 0.136)
The point that is in this coordinate in the graph is point B.
Answer:
View the picture for the answer!
Step-by-step explanation:
7 x (-3) x (-12)^2=? A. -84 B. -48 C. 84 D. 48
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▹ Answer
B. -48
▹ Step-by-Step Explanation
Distribute each number to factor so you can solve
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
-3024
Step-by-step explanation:
7 x (-3) x (-12)^2=
PEMDAS says exponents first
7 x (-3) x (144)=
Then multiply from left to right
-21 x (144)=
-3024
Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare.
Answer:
Gym A and B offers the same price
Step-by-step explanation:
[tex]\huge\bold\color{steelblue}{\colorbox{white}{Answer:}}[/tex]
Both of them has the same price
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If you have any questions, feel free to ask me <33
#CarryOnLearning
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Bridget and Caroline win some money and share it in the ratio 7:3. Bridget gets £40 more than Caroline. How much did they get all together?
Answer:
£100
Step-by-step explanation:
if the ratio is 7:3, the difference between them is 7-3 . = 4.
So,
4x = £40
Now, calculate x
x = £10
Now,
we are able to calculate:
7x (Bridget's share) = £70
3x (Caroline's share) = £30
Sum = £100
Hope this helps.
Good Luck
what number must you add to complete the square x^2+4x=5
Answer:
You should add 4 to both sides because that would make the left side a perfect square which is what you are intending to do when you complete the square.
Answer:
4
Step-by-step explanation:
x² + 4x = 5
b = 4
We need to add (b/2)² to both sides to complete the square.
(4/2)² = 4
x² + 4x + 4 = 5 + 4
x² + 4x + 4 = 9
(x + 2)² = 9
What is the difference of the fractions below 5/2 - 3/5
Answer:
19/10 or 1 9/10
Step-by-step explanation:
you first put them into common denominators
so the least common denominator is 10
so 5/2= 25/10
and 3/5= 6/10
so 25/10 minus 6/10= 19/10
hope this helps
Answer:
1 9/10
Step-by-step explanation:
5/2 - 3/5
Get a common denominator of 10
5/2 *5/5 - 3/5 *2/2
25/10 - 6/10
19/10
10/10 + 9/10
1 9/10
Claire is designing a banner that will hang in her classroom. The length of one diagonal of the banner is 48 inches, and the sides are 25 inches long. Is the banner a square?
Answer: No the banner is not square.
Step-by-step explanation:
If it were square, the diagonal would be about 35.36 inches.
Pythagorean Theorem: a² + b² + = c²
?25² + 25² = 48² ?
625 + 625 ?=? 2304
1250 ≠ 2304
√1250 ≈ 35.3553
Answer:
The second option
Step-by-step explanation:
Source: trust me bro
Jayden measured a community college and made a scale drawing. He used the scale 22 millimeters : 9 meters. The actual length of a building at the college is 99 meters. How long is the building in the drawing?
Hey there! :)
Answer:
x = 242 mm.
Step-by-step explanation:
Begin by setting up a proportion between the actual college building and the drawing.
[tex]\frac{22mm}{9m} = \frac{x}{99m}[/tex]
Cross multiply:
99 × 22 = 9 × x
2178 = 9x
Divide both sides by 9:
2178/9 = 9x/9
x = 242 mm.
Solve for F:
-3/4f =5/4
If your answer is wrong you're getting blocked
Answer:
f = -5/3
Step-by-step explanation:
-3/4f = 5/4
Multiply both sides by -4/3.
-3/4f × -4/3 = 5/4 × -4/3
f = -20/12
f = -5/3
given the vertex (2,9) and the foci (5,9), what is the equation of the directrix
Answer:
x = -1
Step-by-step explanation:
The vertex is halfway between the focus and the directrix.
So here the directrix is a vertical line to the left of the vertex and passing through the point (2-3, 9) = (-1, 9)
It is x = -1.
What is the sum of the series represented by:
Answer:
70
Step-by-step explanation:
n =2 ; 3n + 2 = 3*2 + 2 = 6 + 2 = 8
n = 3 ; 3n + 2 = 3*3 + 2 = 9 + 2 = 11
n =4 ; 3n+ 2 = 3*4 + 2 = 12 + 2 = 14
n= 5; 3n +2 = 3*5 + 2 = 15 + 2 = 17
n = 6; 3n + 2 = 3*6 + 2 = 18 + 2 = 20
∑ (3n + 2) = 8 + 11 + 14 + 17 + 20 = 70
Answer:
70
Step-by-step explanation:
TTT
Evaluate the expression. 56 Divided by (-8)
Answer:
-7
Step-by-step explanation:
Use the vertical line test to determine if the relation whose graph is provided is a function
Answer:
the graph represents a function.
Step-by-step explanation:
The vertical line test is a test to check if a graph represents a function.
To proceed, draw (imaginary) vertical lines through the entire domain of the graph. If any of the line intersects the graph at any value of x, then the graph does not represent a function.
Here it is not possible to draw a vertical line to intersect the red curve at any point, therefore the graph represents a function.
Answer:
Yes, the graph represents a function.
Step-by-step explanation:
The vertical line test is a test you can do to determine if a graph is a function. Basically, you draw straight vertical lines, and if it intersects with the line more than once, the graph is not a function.
This is because in a function, each input can only have one output.
So, we can draw vertical lines through the graph, and you'll find that each line will only intersect with the line once.
Based on this, the given graph would represent a function.
Here are the dates of three pivotal female mathematicians: Sophie Germain (French) 1776-1831, Sonja Kowalevsky (Russian) 1850-91, Emmy Noether (German) 1882-1935. Arrange them in order with the shortest-lived first.
what is the slope and y-intercept (−6,5),(-3,-3)
Answer:
Step-by-step explanation:
The values of the slope and y-intercept are
m =- 8/3
and b = − 11
Evaluate function from a graph i need help URGENT!
Answer:
-2
Step-by-step explanation:
Simply find the y-value when x = -5. Looking at the graph, we should get y = -2
Answer:
f(-5) = -2
Step-by-step explanation:
f(-5)
x=-5
Go x=-5 on the graph and see what the y value of the function is
The y value is -2
f(-5) = -2
Can someone attempt part A) for me, or at least explain it.
Step-by-step explanation:
if AB and CD are parallel then
90 -x +83 +46 = 180 --> x= 39
Answer:
x = 39
Step-by-step explanation:
Using the properties of parallel lines, then
x + 44 = 83 ( subtract 44 from both sides )
x = 39
Someone..... I beg you!!! I will definitely mark you as a brainliest if you give me the correct answer!
Answer :
[tex]x = - 6 \\ x = 1[/tex]
What is the measure of XYZ?
Answer:
C
Step-by-step explanation:
The measure of the chord- chord angle XYZ is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
∠ XYZ = [tex]\frac{1}{2}[/tex] ( arc XZ + arc VW )
= [tex]\frac{1}{2}[/tex] ( 17 + 55)° = 0.5 × 72° = 36° → C
The price of a ring was increased by 9% to £1800. What was the price before the increase? Give your answer to the nearest penny.
Answer:
see steps
Step-by-step explanation:
New price was increase from 100% to 109% at £1800.
By proportionality,
old price / 100% = 1800 / 109%
Cross multiply to get
old price = $1800 * 100% / 109% = £1651.38
City planners want to design a park between parallel streets, Main Street and Willow Lane, in the shape of a trapezoid. There are two paths of equal length on the east and west sides of the park. The border of the park makes a 60° angle between Willow Lane and the east path. A trapezoid is shown. The west path is the left side and the east path is the right side and they are congruent. Main street is the top side and willow lane is the bottom side and they are parallel. The angle formed by willow lane with the east path is 60 degrees.
Question Completion
What is the angle between Main Street and the west path? What is the angle between the west path and Willow Lane?Answer:
[tex](a)120^\circ\\(b)60^\circ[/tex]
Step-by-step explanation:
In the diagram BC(Main Street) is parallel to AD(Willow Lane)
Therefore, ABCD is a Trapezoid.
Since in a trapezoid, adjacent angles are supplementary
Therefore:
[tex]\angle C+ \angle D=180^\circ\\\angle C+ 60^\circ=180^\circ\\\angle C=180^\circ- 60^\circ\\\angle C=120^\circ[/tex]
Since [tex]AB \cong CD[/tex], ABCD is an Isosceles Trapezoid.
In an Isosceles trapezoid, the base angles are congruent:
Therefore:[tex]\angle A \cong \angle D$ and \angle B \cong \angle C[/tex]
Therefore:
[tex]\angle A \cong \angle D=60^\circ\\\angle B \cong \angle C=120^\circ[/tex]
(a)
The angle between Main Street and the west path is [tex]\angle CBA = 120^\circ[/tex]
(b)
The angle between the west path and Willow Lane is [tex]\angle BAD =60^\circ[/tex]
Jessica can paint 12 rocks in 8 minutes. How many rocks can she paint in 48 minutes
Answer:
72 rocks.
Step-by-step explanation:
A "easier" way to find out the answer, is to find how much rocks Jessica paints in 1 minute.
Divide 12 with 8:
12/8 = 1.5
Next, multiply the number you got (1.5) with 48:
48 x 1.5 = 72
Jessica can paint 72 rocks in 48 minutes.
~
Answer:
72 rocks
Step-by-step explanation:
So let’s create the following ratio 12:8
The 12 is the amount of rocks and the 8 is the time in minutes.
So we have to find how many rocks she can paint in 48 minutes.
So we make the following ratio x:48.
So we need to find x the amount of rocks she can paint in 48 minutes.
So to find x we have to divide 48 by 8 = 6.
So if the ratio is x6 we can just do 12 * 6 which is 72.
So she can paint 72 rocks in48 minutes.
Urgent pls. The diagram shows a parallelogram. Work out the area of the parallelogram. Give your answer to 2 significant figures.
Answer:
54.88 square cm
Step-by-step explanation:
If d1 and d2 are the diagonal of parallelogram and [tex]\alpha[/tex] is the angle between then
then its area is given by
area = d1*d2 sin [tex]\alpha[/tex]
given
in the problem
for one diagonal one part is 7cm
we know that diagonal intersects each other to divide each part of same diagonal equally.
hence if one part is of length 7 then other part is also of 7cm length
hence full length of this diagonal is 7+7 = 14cm
similarly full length of other diagonal is 4+4 = 8cm
now area of this parallelogram
area = d1*d2 sin [tex]\alpha[/tex] = 14*4 sin100
we know sin100 = 0.98
area = 56*0.98
area = 54.88
Thus, area of given parallelogram is 54.88 square cm.
please help me solve
Answer:
$110
Step-by-step explanation:
we know
selling price = cost price + profit.
given
selling price of TV = $121
profit = 10%of cost
selling price of TV = cost of TV + 10%cost of TV
121 = cost of TV + 10/100 cost of TV
=> 121 = (100 cost of TV + 10 cost of TV)/100
=> 121*100 = 110 cost of TV
=> cost of TV = 121*100/110 = 110
Thus, cost price of TV is $110(option A)
Help plzzzzzzzz do these two questions and I’ll mark Brainlynest
Answer:
Step-by-step explanation:
Q1: <B = 150 °
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
8x-10 = 3x+90
5x=100 (subtract 3 from both sides)
x=20 (divide both sides by 5)
x = 20
<B= 3x +90
<B = 3 (20) +90
<B = 60 + 90
<B = 150
Q2: 62
An angles complement (not compliment, haha) is what the number that added to the angle equals 90°.
An angle is 34 more than its complement.
Let x represent the angle.
Let y represent its complement.
x= 34 +(90-x)
y= (90-x)
x + y = 90
34 + (90-x) + (90-x) =90
x= 62
Check the answer.
x= 34 more than complement.
62-34=28
62+28=90
Checked!
Words of encouragement:
Good luck!