Answers
Answer:
The x intercepts are -4, -1 and 5 or (-4,0), (-1,0) and (5,0).
Step-by-step explanation:
Consider the provided graph.
Here we need to find the x intercepts of the function.
The x-intercepts are where the graph crosses the x-axis.
Here, the provided graph crosses the x axis 3 times.
Thus there must be 3 x intercepts of the function.
Now label the points on which graph intersect the x axis as shown in figure 1.
Thus the labeled points are (-4,0), (-1,0) and (5,0)
Hence, the x intercepts are (-4,0), (-1,0) and (5,0) or -4, -1 and 5.
Related Questions
Hannah bought a jacket on sale for 20% off. The jacket originally costs $48. How much money did Hannah save by buying the jacket on sale?
$9.60
$2.00
$4.40
$10.30
Answers
answer
saved $9.60
Which ordered pairs are solutions to the inequality x+3y≥−8?
Select each correct answer.
(−6, 0)
(−1, −2)
(−5, −1)
(−16, 2)
(0, −3)
Answers
(-1,-2)
(-5,-1)
Answer:
(−6, 0) , (−1, −2) and (−5, −1)
Step-by-step explanation:
The given inequality is x+3y ≥ −8
Substitute all the given points in this inequality and check which points satisfy.
For (−6, 0)
-6+3(0) ≥ −8
- 6 + 0 ≥ −8
- 6 ≥ −8 => True.
Hence, (−6, 0) is a solution.
For (−1, −2)
-1 + 3(-2) ≥ −8
-1 - 6 ≥ −8
- 7 ≥ −8 => True.
Hence, (−1, −2) is a solution.
For (−5, −1)
-5 + 3 (-1) ≥ −8
- 5 -3 ≥ −8
-8 ≥ −8=> True.
Hence, (−5, −1) is a solution.
For (−16, 2)
-16 +3 (2) ≥ −8
-16 + 6 ≥ −8
-10≥ −8 => False.
Hence,(−16, 2) is not a solution.
For (0, -3)
0 + 3(-3) ≥ −8
-9 ≥ −8=> False.
Hence, (0, -3) is not a solution.
Therefore, below ordered pairs are solutions of the given inequality
(−6, 0) , (−1, −2) and (−5, −1)
A scatterplot is produced to compare the size of a lake to the number of fish that are in it. There are 15 data points, each representing a different lake. The points are widely dispersed on the scatterplot with no pattern of grouping. Interpret what the results of the scatterplot tell you about the relationship between the two variables.
Answers
Answer:Since there is no cluster formed in the scatterplot, the two variables are not related. Therefore, based on the data shown in the scatterplot, the number of fish in a lake is not dependent on the size of the lake.
Step-by-step explanation:
Denis and Dasha solve this problem in two different ways. The perimeter of a rectangle is 54 centimeters. Its length is 6 centimeters. What is its width? Use the drop-down menus to complete the sentences below.
Answers
Final answer:
To find the width of a rectangle with a perimeter of 54 cm and a length of 6 cm, use the formula P = 2l + 2w. After plugging in the given values and simplifying, the width is calculated to be 21 cm.
Explanation:
Finding the Width of a Rectangle
To solve this problem, we remember that the perimeter of a rectangle is calculated by the formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Given the perimeter is 54 centimeters and the length is 6 centimeters, we can set up the equation as follows: 54 = 2(6) + 2w. Simplifying this, we get 54 = 12 + 2w, and then subtracting 12 from both sides gives us 42 = 2w. Dividing both sides by 2, we find the width w to be 21 centimeters.
Step-by-Step Calculation
Start with the formula for the perimeter of a rectangle: P = 2l + 2w.Substitute the given values into the formula: 54 = 2(6) + 2w.Simplify the equation: 54 = 12 + 2w.Isolate the width term: 42 = 2w.Divide both sides by 2 to solve for the width: w = 21.Therefore, the width of the rectangle is 21 centimeters.
At the annual dogs show chantel noticed that there were three more Scottie’s than schnauzers. She also realized that the number of wire haired terriers was five less than twice the number of schnauzers if there were 78 dogs in all how many schnauzers were their?
Answers
A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical amount spent by any customer is $28.80. The owner's conclusion
A) is valid. The last 10 customers only bought sale items.
B) is correct. This is the average amount spent by any customer.
C) is invalid. This is not a good representation of all customers.
D) is unfair. The last ten people in the store may have been tired.
Answers
What's the ordered pair ?
Answers
We clearly see that for ever point in terms of CHOICE C the value of x is different.
Answer: Choice C
Suppose f(x) = x2 and g(x) = 4x2. Which statement best compares the graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) vertically compressed by a factor of 4.
B. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4.
C. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 4.
D. The graph of g(x) is the graph of f(x) shifted 4 units left.
Answers
f(x) = x²
g(x) = 4x²
Therefore
g(x) = 4f(x)
This means that the value of g(x) is 4 times the value of f(x). So the graph og (x) is the graph of f(x) vertically stretched by a factor of 4.
The graph shown below confirms the conclusion.
Answer: C.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 4.
For a right triangle with an altitude of 12 and a base of 16, find the length of the hypotenuse.
Answers
A=12. B=16. C=?
11^2+16^2=C^2
121+256=C^2
377=c^2
The square root of 377 is bout 19 rounded or it's 19.41 but didn't think you wanted decimals
Hope this helps and is what u r looking for have a nice day
If y = 15 when X=12 find Y when X=32
Answers
By acknowledging the linear relationship between X and Y, we set up a proportion based on the given values and solve for Y when X = 32, finding Y approximately equals 40.
Explanation:This problem relates to the concept of
linear relationships
in mathematics. By understanding the relationship between two variables x and y, you can find the value of one by knowing the value of the other. Here, if y = 15 when X = 12, we can say that the ratio of y to x is constant. Therefore to find the value of Y when X = 32, we will maintain the same ratio. Now, set up a proportion 15/12 = Y/32 and solve for Y. Cross-multiplication gives us: Y = 15 * 32 / 12. After calculating this, Y equals approximately 40. Therefore, the value of Y when X is 32 will be around 40, keeping the relationship linear.
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n is the set of real number that are factors of 36
Answers
decimals between 3.0 and 3.8 with an interval of 0.2 between each pair of decimals
Answers
3.0, 3.2, 3.4, 3.6, 3.8
Hope I helped :)
Answer:
Decimals between 3.0 and 3.8 with an interval of 0.2 between each pair of decimals are:
3.2,3.4 and 3.6
Step-by-step explanation:
We have to find decimals between 3.0 and 3.8 with an interval of 0.2 between each pair of decimals
3.0
3.0+0.2= 3.2
3.2+0.2= 3.4
3.4+0.2= 3.6
3.6+0.2= 3.8
Hence, decimals between 3.0 and 3.8 with an interval of 0.2 between each pair of decimals are:
3.2,3.4 and 3.6
An equilateral triangle has a perimeter of 3x+9. what is the length of each side of the triangle
Answers
___________________________________
Explanation:
___________________________________
[tex] \frac{3x+9}{3} [/tex] ;
= [tex] \frac{3x}{3}[/tex] + [tex] \frac{9}{3}[/tex] ;
= x + 3 .
___________________________________
Note: An equilateral triangle has 3 SIDES THAT ARE EQUAL IN LENGTH.
___________________________________
The perimeter is the sum of the total length of all three (3) sides. So, to find the length of each side {Note: Each side has an equal length}; we divide the given perimeter, by "3"}.
___________________
The answer is: " x + 3 " .
______________________
To check our answer:
3(x+3) =? 3x + 9 ??
Using the distributive property of multiplication:
_____________________________________
(3*x) + (3*3) =? 3x + 9?
3x + 9 =? 3x + 9 ? Yes!
_____________________________________
What is the slope ? Simplify your answer and write it as a proper fraction improper fraction or integer
Answers
The volumes of the two solids are equal, and the cross sections shown are taken at the same height above the bases. Find the missing length of the cross section of the rectangular pyramid. Round your answer to the nearest hundredth.
A. 1.59m
B. 1.62m
C. 1.67m
D. 1.76m
Answers
[tex]area(tri) = (1 \div 2)(base)(height) \\ a(t) = bh \div 2 \\ area(rect) = (length)(width) \\ a(r) = lw[/tex]
Since the triangle is right, and has sides of 4 & 5, then it is a 3-4-5 special right triangle. Now the height can be the side that's 3, and the base 4, since by definition the height us 90° from the base.
[tex]a(t) = bh \div 2 = 3m \times 4m \div 2 \\ = 12 {m}^{2} \div 2 = 6 {m}^{2} [/tex]
Now we know that the a(r) also = 6, because of the congruency of the two shapes, with equal volumes, at the same height. So now let's find our length (l):
[tex]a(r) = lw \: > > 6 {m}^{2} = l(3.6m) \\ l = 6 {m}^{2} \div 3.6m = 1.666m \\ = 1.67m[/tex]
Which of the following would eliminate the variable on the left side of the given equation?
36 - 19w = -6w + 41
A.) add -19w
B.) add 6w
C.) add 19w
D.) add -36
Answers
Hope this helps!
In a company, it takes 4 employees 4 days to complete a task. It would take 2 employees 8 days to complete the same task. Which function can be used to represent e, the number of employees working on the task, and d, the number of days it takes them to complete that task?
Answers
The function representing the relationship between the number of employees and the number of days it takes to complete the task is[tex]\[ e \times d = 16 \][/tex].
To represent the relationship between the number of employees (e) and the number of days (d) it takes to complete a task, we can use the formula:
[tex]\[ e \times d = k \][/tex]
where k is a constant representing the amount of work to be done.
Given the information that 4 employees complete the task in 4 days, and 2 employees complete it in 8 days, we can set up two equations using the formula:
[tex]\[ 4 \times 4 = k \][/tex]
[tex]\[ 2 \times 8 = k \][/tex]
Now, solve each equation for ( k):
[tex]\[ 4 \times 4 = 16 \][/tex]
[tex]\[ 2 \times 8 = 16 \][/tex]
Since both equations give us the same constant ( k ), we can conclude that:
[tex]\[ e \times d = 16 \][/tex]
Therefore, the function representing the relationship between the number of employees and the number of days it takes to complete the task is:
[tex]\[ e \times d = 16 \][/tex]
What is a quick way to determine which savings account will pay the most interest?
Answers
If George received $ 78.00 for his work at Weaver's Store, and he was paid $ 6.00 per hour, how many hours did he work?
Answers
78.00 ÷ 6.00 equals 13 hours
6×13 equals 78
78 / 6 = 13
He worked 13 hours to get paid $78.00
Hope this helps!
relative maxima and relative minima are called relative_____.
Hint: first 2 letters are ex
Answers
Relative maxima and relative minima are called relative extrema.
Given:
The given statement is:
Relative maxima and relative minima are called relative_____.
To find:
The correct word to fill the given blank.
Explanation:
Relative maxima: If the function changes from increasing to decreasing, then the turning point is known as relative maxima.
Relative minima: If the function changes from decreasing to increasing, then the turning point is known as relative minima.
Relative extrema: The turning points relative maxima and relative minima are known as relative extrema.
Therefore, the relative maxima and relative minima are called relative extrema.
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If you travel 156 miles on 4 gallons of gasoline how far can you travel on 12 gallons how many miles on 6 gallons
Answers
You can travel a distance of 468 miles on 12 gallons of gasoline and a distance of 234 miles on 6 gallons of gasoline.
What is Proportion?Proportion is the setting of two or more ratios to be equal.
That is, if there is a ratio between a and b and another ratio between c and d, then we can say that,
a : b = c : d ⇒ a/b = c/d ⇒ a d = b c
We have,
Distance travelled is 156 miles on 4 gallons of gasoline.
We have to find the distance travelled on 12 gallons and 6 gallons of gasoline.
Let x be the distance travelled on 12 gallons of gasoline and y be the distance travelled on 6 gallons of gasoline.
We have a proportional relation here,
156 : 4 = x : 12 = y : 6
First taking the relation,
156 : 4 = x : 12
⇒ 156/4 = x/12
⇒ 39 = x/12
⇒ x = 39 × 12
⇒ x = 468
Taking the second relation,
156 : 4 = y : 6
⇒ 156/4 = y/6
⇒ 39 = y/6
⇒ y = 39 × 6
⇒ y = 234
Hence you can travel 468 miles on 12 gallons and 234 miles on 6 gallons.
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Tori computers the value of 8 • 95 in her head by thinking 8(100 - 5)= 8•100 - 8•5 which number property is she using ?
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2. Consider the function . a.) Find the inverse of f(x) and name it g(x). Show and explain your work. b.) Use composition to show that f(x) and g(x) are inverses of each other. c.) Draw the graphs of f(x) and g(x) on the same coordinate plane. Explain what about your graph shows that the functions are inverses of each other.
First correct answer will get 25 pts and brainliest!!!! So please help! :D
Answers
Given that [tex]f(x)= \frac{1}{3} x+2[/tex], we find the inverse g(x) as follows:
First, we rewrite the function as: [tex]y=\frac{1}{3} x+2[/tex]
Next, we switch x and y and then solve for y as follows:
[tex]x=\frac{1}{3} y+2 \\ \\ \frac{1}{3} y=x-2 \\ \\ y=3(x-2) \\ \\ y=3x-6[/tex]
We then rewrite the equation using function notation to get:
[tex]g(x)=3x-6[/tex]
Part B:
For two function that are inverse of each other, the composition of the two functions gives x.
Thus,
[tex]f \circ g=f(g(x))=f(3x-6)= \frac{1}{3} (3x-6)+2=x-2+2=x \\ \\ g\circ f=g(f(x))=g( \frac{1}{3} x+2)=3( \frac{1}{3} x+2)-6=x+6-6=x \\ \\ \therefore f\circ g=g\circ f=x[/tex]
Since, f o g = g o f = x, hence g(x) is the inverse of f(x).
Part C:
The graphs of f(x) and g(x) are attached.
From the graph it can be seen that the prperties of both graphs are similar, the properties of one graph in the x-axis correspond to the properties of the other graph in the y-axis and vice-versa. Also, the two lines intersect at a point were x = y.
What would be an appropriate measure to describe the amount of water in a puddle?
milliliters
feet
tons
miles
Answers
Answer:
milliliters
Step-by-step explanation:
Which will result in a difference of squares? (–7x + 4)(–7x + 4) (–7x + 4)(4 – 7x) (–7x + 4)(–7x – 4) (–7x + 4)(7x – 4)
Answers
a^2 – b^2 = (a + b)(a – b)
in this case
(–7x + 4)(–7x – 4)
answer
(–7x + 4)(–7x – 4)
Answer:
(–7x + 4)(–7x – 4) Sign changes in the middle of both parenthesis , so this will result in difference of squares
Step-by-step explanation:
The formula for difference of squares
[tex]a^2 - b^2 =(a+b)(a-b)[/tex]
(–7x + 4)(–7x + 4) both parenthesis having same terms so this will not result in difference of squares
(–7x + 4)(4 – 7x) both parenthesis having same terms so this will not result in difference of squares
(–7x + 4)(–7x – 4) Sign changes in the middle of both parenthesis , so this will result in difference of squares
(–7x + 4)(7x – 4) sign changes for both terms in both parenthesis so this will not result in difference of squares
Use the Pythagorean Theorem to find the missing measure when a = 24 and b = 7.
Answers
To start, we know the a and b values which are 24 and 7. As according to the formula, we square them which gives us 576+49=c^2
Then we simplify: 625=c^2
And solve for c= 25 (c represents the missing length)
Ricarda earns a $25 allowance each week. How much allowance will she earn after 7 weeks. Explain how to use mental math to solve.
Answers
(1) 5*7=35,write down 5 and advance the 3
(2) 2*7=14, 14+3(from step one)=17 write down 7 and advance the 1
(3) since there is no more digits to do calculations, write down the 1
the answer is 175
(is this the mental math you re talking about?)
what is 6 divided by 46.8
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Introduction to addition or subtraction of fractions with different denominator 3/4-1/8
Answers
so when you multiply, you multiply both on the top and on the bottom, so this would be:
3 x 2 / 4 x 2 = 6 / 8
Now you can add or subtract: 6/8 - 1/8 = 5/8
Which statement describes similar figures?
two figures that are the same size
two figures that are the same size but a different shape
two figures that are the same shape but different sizes
none of the above