The graph of y = f(x) is shown below. Find all values of x where f(x) = -5.
Picture of graph is there
40 points casue I need this answer
Answers
The best way to find out whether or not the parabola created by a quadratic formula crosses the x-axis is by graphing the quadratic function, but this is not always possible, so one might have to apply the quadratic formula to solve for x and find a real number where the resulting graph would cross that axis.
The quadratic function is a master class in applying the order of operations, and although the multistep process may seem tedious, it is the most consistent method of finding the x-intercepts. The easiest way to interpret quadratic functions is to break it down and simplify it into its parent function. This way, one can easily determine the values needed for the quadratic formula method of calculating x-intercepts. Remember that the quadratic formula states:
x = [-b +- √(b2 - 4ac)] / 2a
This can be read as x equals negative b plus or minus the square root of b squared minus four times ac over two a. The quadratic parent function, on the other hand, reads:
y = ax2 + bx + c
This formula can then be used in an example equation where we want to discover the x-intercept. Take, for instance, the quadratic function y = 2x2 + 40x + 202, and try to apply the quadratic parent function to solve for the x-intercepts. In order to properly solve this equation and simplify it down using the quadratic formula, you must first determine the values of a, b, and c in the formula you’re observing. Comparing it to the quadratic parent function, we can see that a is equal to 2, b is equal to 40, and c is equal to 202.
Next, we’ll need to plug this into the quadratic formula in order to simplify the equation and solve for x. These numbers in the quadratic formula would look something like this:
x = [-40 +- √(402 - 4(2)(202))] / 2(40) or x = (-40 +- √-16) / 80
In order to simplify this, we’ll need to realize a little something about mathematics and algebra first. In order to simplify the above equation, one would have to be able to solve for the square root of -16, which is an imaginary number that does not exist within the world of Algebra. Since the square root of -16 is not a real number and all x-intercepts are by definition real numbers, we can determine that this particular function does not have a real x-intercept.
To check this, plug it into a graphing calculator and witness how the parabola curves upwards and intersects with the y-axis, but does not intercept with the x-axis as it exists above the axis entirely.
The answer to the question “what are the x-intercepts of y = 2x2 + 40x + 202?” can either be phrased as “no real solutions” or “no x-intercepts,” because in the case of Algebra, both are true statements.
Related Questions
Write the equation y+5=-10(x-1) into standard form
Answers
Answer:
10x + y = 5
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStandard Form: Ax + By = C
Step-by-step explanation:
Step 1: Define
Point-Slope Form: y + 5 = -10(x - 1)
Step 2: Find Standard Form
Distribute -10: y + 5 = -10x + 10Add 10x on both sides: 10x + y + 5 = 10Subtract 5 on both sides: 10x + y = 5And we have our final answer!
WILL GIVE BRAINLIEST
On a field trip, there are 8 adults and 24 students. What is the ratio of students to the total number of people on the field trip?
8 to 24
3 to 4
1 to 4
32 to 24
Answers
Answer:
3:4
Step-by-step explanation:
24 students : 32 people total
Divide both sides by 8
Answer: 3 to 4
this is correct, verified it myself B)
√−100 = ___ + ___ i
can anyone help? (✿◡‿◡)
Answers
Answer:
0+10
Step-by-step explanation:
yes
Answer quickly thank you so much!!!!!!!!!!!!!!!!!!!!!
Answers
At Publix,I made $247.25 in 23 hours. How much did I make per minute?
Answers
which relation is a function pls help will give brainliest
Answers
Answer:
D it is....................
Katniss Everdeen found the absolute value of |25| to be -25.
Do you agree? Yes or No
Explain:
Answers
Answer:
No
Step-by-step explanation:
Absolute values will never be negative.
Since absolute values are simply the number's distance from zero, it can never be negative, since there are no negative distances.
In this case, | 25 | is equal to 25. This is because the distance from 0 to 25 is 25.
So, Katniss is wrong.
look at the picture
Answers
1 2
3
4 5 6 7 8 9
Janice needs to write a couplet about the summer breeze for her literature class. How many lines should her poem be?
05
O2
04
01
Answers
Answer:
5
Step-by-step explanation:
A cinquain is a five-line poem, with a set number of words in each line The French word "cinq" means five, which is why it is called a cinquain. Here is an example.
Apples,
Rosy, juicy,
Sweet, delicious, crisp,
Better still in pies,
Apples.
hope this helps and plz mark as brainlest
Can someone please help? I will give Brainliest.
Answers
Answer:
Ask your mom and she might tell you
Step-by-step explanation:
Answer:
ye
Step-by-step explanation:
A package that is heavier than 11 lb. and 8 oz. will have a label that says "heavy" on it. Gloria packed 6 flower pots to send to her customers. Each of the flower pots weighs 1 lb. and 12 oz. The packing material weighs 5 oz. Will her package be labeled as "heavy"?
Answers
Answer:
No, the package will not be labeled "heavy"
Step-by-step explanation:
1) if you multiply 1lb. and 12 oz. by the number of flower pots(I'll be using the variable P), then the expression will be (1lb.P) (12oz.P).
2) then after you get the answer for that, which is 6lb. 72oz. and after that you'll have to add the weight of the packaging, which is 5oz. which the answer is 6lb. 77oz.
3) after, you will then have to get the number of pounds from the ounces if there are more than 16, which there are, so after you get the answer out of that, which is 4 and then you would have 13oz. leftover.
4) you would then have to add your 4lb. to your 6 that you already have, which would be 10lb.
Final) so in the end, you would have 10lb. 13oz.
If a => b and b => c, which statement must be true?
A. a => c
B. -a => -c
C. c => a
D. -a => c
Answers
Answer: It would be A
Step-by-step explanation: Since a=>b and b=>c then it would mean that a and c are the same. (a=>c)
A 3-yard roll of wrapping paper costs $13.14. What is the price per foot?
Answers
Answer:
Step-by-step explanation:
1 yard is equal to 3 feet.
since you have 3 yards, it'll be 9 feet.
13.14/9 to get your answer
or $1.46 per foot
The price per foot of wrapping paper is $1.46.
First, we need to convert 3 yards to feet. There are 3 feet in 1 yard, so 3 yards is equal to 3 * 3 = 9 feet.
The price per foot is simply the total price divided by the number of feet. In this case, the total price is $13.14 and the number of feet is 9, so the price per foot is:
price per foot = $13.14 / 9 feet
= $1.46 per foot
Therefore, the price per foot of wrapping paper is $1.46.
To learn more about price here:
https://brainly.com/question/17375825
#SPJ2
A person rents a moving truck for the day. There is an initial fee of 20$ and an additional 0.25$ every mile driven. Write the equation represent cost, C(m), as a function of the number of miles traveled, m.
C(m)=___________
Answers
Answer:
Step-by-step explanation:
y = -2/3 + 490
Describe how you would graph this line using the slope-intercept method. Write using complete sentences
Answers
Answer:
Step-by-step explanation:
You would start at the 490 spot on the y axis. After that you would use Rise over run. Down 2 units and right three. Continue to do this until you reach the end of the graph, then go the opposite; up 2, left 3.
What's 1+1 I will give brainliest
Answers
Answer:
2
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
Answer:
2
Step-by-step explanation:
Numbers go in the order 1,2,3,4,5,6,7,8,9,10
If we go up one we will have two
Hope this helps
help pls this is due today I give brainliest
Answers
Answer: I'd go with C. Winter, because sleet is made from snow, which forms when it is cold
Step-by-step explanation:
Hailstones form when the updrafts generated by thunderstorms (which are more common in spring and summer than winter) quickly lift water droplets high in the troposphere, where they freeze at very low temperatures, then fall. Sleet occurs when falling snow melts and then refreezes before it hits the ground.
Hope this helps!
And let me know if I'm right!
What is a prime factor?
Answers
Answer:
Prime factors are factors of a number that are, themselves, prime numbers.
Example: the prime factor of 15 are 3 and 5 because 3x5=15 and they are both prime numbers.
PLEASE HELP ILL MARK BRAINLIEST
Answers
Answer:
A, C, D, and E
Step-by-step explanation:
According to following triangle, the choices that explains that [tex]\triangle DBC[/tex] is isosceles, are:
-[tex]\overline {AB}[/tex] is an angle bisector of [tex]DAC[/tex]. (Choice A)
-[tex]\angle BDC[/tex] is congruent to [tex]\angle BCD[/tex]. (Choice C)
-[tex]\angle ABD[/tex] is congruent to [tex]\angle ABC[/tex]. (Choice D)
[tex]\angle DAB[/tex] is congruent to [tex]\angle CAB[/tex] (Choice E)
A line that passes through the points (−5, 7) (10, 1). Using the mx+b format
Answers
Answer:
y=2x-19
Step-by-step explanation:
I'm guessing you mean slope intercept form y=mx+b
If so, first you would have to find the slope of the line
To do that, use the formula y2-y1/x2-x1
Remember you can pick any coordinate pair for this
I will pick 1=y2 -5=y1 10=x2 and 7=x1
When I put that in the equation I get 1-(-5)/10-7
Overall I get 6/3, or 2
Now to find the y intercept, you plug in the slope and one of the coordinates(any is fine)
I will pick (10,1)
1=y and 10=x and 2=m
1=2(10)+b
this simplifies to 1=20+b
now subtract 20 from both sides and get -19 = b
Now you have your equation y=2x-19
What is the 15th term of the following sequence? -0.25, 0.5, 1.25, 2, 2.75...
Answers
Answer:
The 15th term is 10.25
Step-by-step explanation:
Sequences
The given sequence:
-0.25, 0.5, 1.25, 2, 2.75...
can be categorized as an arithmetic sequence. To better know, we try to find a common difference between successive terms:
0.5 - (-0.25) = 0.75
1.25 - 0.5 = 0.75
2 - 1.25 = 0.75
Once we are certain it's an arithmetic sequence, we find the general term by using the formula:
[tex]a_n=a_1+(n-1)r[/tex]
Where n is the number of the term, a1 is the first term, and r is the common difference. We have already found that:
r=0.75
a1=-0.25
The 15th term (n=15) is:
[tex]a_{15}=-0.25+(15-1)*0.75[/tex]
[tex]a_{15}=-0.25+14*0.75[/tex]
[tex]a_{15}=-0.25+10.5=10.25[/tex]
The 15th term is 10.25
what is the formula for the perimeter of a semicircle
Answers
Answer:
The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.
Company A charges $28.50 plus $18 per room to clean carpet. Company B charges $16.50 plus $20 a room.
Answers
Answer:
Company B
Step-by-step explanation:
28.50 plus 18= 46.50
16.50 plus 20= 36.50
Select the graph that represents a proportional relationship
Answers
Answer: B
The graph of the proportional relationship equation is a straight line through the origin.
I hope this is good enough:
How wide is the oil spill?
Answers
Answer:
Dunno i cant read upside down language also im bleeding
Step-by-step explanation:
Answer:
B.20 m
Step-by-step explanation:
since the triangles are congruent each side should be the same number
Proportional or Non-Proportional: The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card.
Answers
Answer:
Proportional.
Step-by-step explanation:
Put x = 4 + y in slope-intercept form.
Answers
Answer:
y=x-4
Step-by-step explanation:
I graphed this out and got the equation.
Find the coefficient of the third term in the expansion of (2x+y)^5
a. 80
b. 40
c. 10
d. 2
Answers
Answer:80
Step-by-step explanation:
Did the question on illuminate
Y = 3x - 5 what is the value of Y??
Answers
Answer:
41
Step-by-step explanation:
x=12
so y=3⋅12 +5
=36+5
=41
x2 + 5x – 14 =
Help plz
Answers
Answer:
Step-by-step explanation:
Got a -4
