The graph y = 1/2x^2 - x - 4 is shown below. State the coordinate of the zero(s):
Answers
Answer:
Zeros → (-2, 0) and (4, 0)
Step-by-step explanation:
Equation of the graph has been given as,
y = [tex]\frac{1}{2}x^{2} -x-4[/tex]
For zeros of the function,
y = 0
Therefore, [tex]\frac{1}{2}x^{2} -x-4=0[/tex]
By solving the equation algebraically,
x² - 2x - 8 = 0
x² - 4x + 2x - 8 = 0
x(x - 4) + 2(x - 4) = 0
(x + 2)(x - 4) = 0
x = -2, 4
Therefore, coordinates of the zeros will be (-2, 0) and (4, 0).
Let's confirm the zeros (x-intercepts) from the graph attached,
Coordinates of the x-intercepts are,
(-2, 0) and (4, 0)
Related Questions
2h+y/9h^2-y^2 - 4h^2/3h+y what is the least common denominator in this expression
Answers
Answer: It is 9
Step-by-step explanation:
I need help asap I’m confused
Answers
find slope of the line that passes through the two points (3,11) and (9,16)
Answers
Answer:
5 over 6
Step-by-step explanation:
y2-y1 over x2-x1 is the equation you need. Y2 in this case is 16, Y1 is 11 and X2 is 9 and X1 is 3 so then you just plug it is. 16 - 11 is 5 and 9 - 3 is 6
If the area of a rectangular park is 350sq. m and its length is 70m, form the algebraic expression to find its breadth
With full solution
Answers
Answer:
350 m² = 70 m × breadth
Step-by-step explanation:
This will be 5m = breadth
Mr. Cohen used 25 kilograms of fertilizer on his lawn. The fertilizer contained 4 kilograms of nitrogen. What percent of the nitrogen was in the fertilizer that Mr. Cohen used?
Answers
Answer:
The answer to this question is the percentage of the nitrogen is 17%
Which graph shows a proportional relationship between the number of hours of renting a camping tent and the total amounts back to work for camping tent?
Answers
Answer: Graph 2
Step-by-step explanation:
Hello! :)
Please help me solve this + explain your answer :)
I will indeed give you Brainlst <3
Answers
Answer: the triangles are congruent
Step-by-step explanation: if u add up all the angles u get 180 so all angles are congruent
A researcher is interested in consumer preferences among three brands of yogurt. A sample of 90 people is obtained,
and each individual is asked to taste each brand and then select his/her favorite. The resulting frequency data are as
follows:
Brand A
Brand B Brand C
37
21
32
Do the data indicate any significant preferences among the three brands? Test at the .05 level of significance.
State the null hypothesis (1 point), the expected frequency for each category (3 points), the value of chi-
square (4 points), the df (1 points), the critical value of chi-square (2 points), and the decision regarding
significance (1 points).
Answers
Answer:
Step-by-step explanation:
From the given information:
The null hypothesis: all three brands are equally likely to their expected value
The alternative hypothesis: preferences exist among the three brands i.e. at least one is different from the expected value.
The expected frequency = [tex]f_e[/tex]
The observed frequency = [tex]f_o[/tex]
[tex]f_e[/tex] [tex]f_o[/tex] [tex](f_o- f_e)^2[/tex] [tex]\dfrac{(f_o - f_e)^2}{f_e}[/tex]
37 30 49.00 1.633
21 30 81.00 2.700
32 30 4.00 0.133
[tex]X^2 = \sum\dfrac{(f_o-f_e)^2}{f_e} = 4.47[/tex]
Degree of freedom = [tex](n-1)[/tex]
= 3 -1
= 2
At ∝ = 0.05 and df = 2
The critical value [tex]X^2_{0.05, 2}= 5.99[/tex]
Decision rule:
Since the calculated chi-square is less than the critical value, we do not reject the null hypothesis.
Thus, the null is retained with a calculated chi-square value of 4.47 and a critical chi-square value of 5.99.
18.) Which expression is equivalent to -6x + 7.5?
A. -3(2x - 2.5) B. -3(2x + 2.5) C. -3(2x - 7.5)
D.-3(2x + 7.5)
Answers
Answer:
D
hope this helped:)
5.5.19
Factor out the greatest common factor from the following polynomial.
6x(z + 14)+(z + 14)
Select the correct choice below and, if necessary, fill in the answer box to complete your cho
6x(z + 14)+(z+14) = _______ Type your answer in factored form.)
The polynomial has no common factor other than 1.
Answers
Answer:
The greatest common factor of 6x(z + 14)+(z + 14) is 1
and if you want it in factored form it is (z + 14)(6x + 1)
PLEASE ANSWER ASAP I WILL GIVE YOU FREE THANKS
Answers
Answer:
infintely mainly is the answer
Step-by-step explanation:
Is it the 1st one. I’m not to sure.
Answers
Answer:
Yes, it's the first one
Step-by-step explanation:
Since the number line is from 0 to 1 and it's divided into 6 sections, the correct answer is 1
If f(x) = -6x + 1, what is f(1/2x-1) equal to
Answers
By substituting [tex]x = \(\frac{1}{2}x-1\)[/tex] , the given function f(x) = -6x + 1 can be simplified to [tex]f(x) = \(f(\frac{1}{2}x-1) = -3x + 7\)[/tex].
To find [tex]\(f(\frac{1}{2}x-1)\)[/tex], substitute [tex]\(\frac{1}{2}x-1\)[/tex] into the function f(x):
[tex]\(f(\frac{1}{2}x-1) = -6(\frac{1}{2}x-1) + 1\)[/tex]
Now, simplify the expression:
[tex]\(f(\frac{1}{2}x-1) = -3x + 6 + 1\)\\\\\(f(\frac{1}{2}x-1) = -3x + 7\)[/tex]
So, [tex]\(f(\frac{1}{2}x-1) = -3x + 7\)[/tex].
To know more about function, refer here:
https://brainly.com/question/13007893
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A selfie ring light is originally priced at $55 is marked down 25%. What is the sale price?
Answers
Answer:
41.25
Step-by-step explanation:25% of 55 is 13.75
Solve 3b – 8 + 6 = 2(b + 6)
Answers
Answer:
b=14
Step-by-step explanation:
3b-2=2b+12
b-2=12
b=14
Determine if true. select all that apply
Answers
1: top one
2:second one
Ricardo ran four miles in 31 minutes. It took him 6.25 minutes to run the first mile. Ricardo ran the remaining miles at a slow and steady speed. How long did it take him to run each of the last three miles?
Answers
Answer:
8.25 minutes
Step-by-step explanation:
31 minutes-6.25 minutes=24.75 remaining miutes between the last 3 miles so then you take 24.75 minutes÷ 3 miles remaining= 8.25 minutes each last 3 miles
Bella needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the area of the two triangles that need to be painted?
Dimensions:
Triangle 1: 6 by 2
Triangle 2 5 by 9
Answers
Answer:
It would be 28.5. First, you would find the area of the smaller triangle by using the formula a=.5bh (area=.5xbasexheight) and then when you get that, you should get 6. Then, you do the same for the larger triangle and you should get 22.5. Then, 22.5 + 6 = 28.5, giving you that answer.
Step-by-step explanation:
I will give a brainliest for if you give me answers
Answers
Answer: When graphing start at (0,6). (1, 8) (3,12) (5,16) The total cost for 7 rides is $20.
Step-by-step explanation:
Answer:
the total cost for 7 rides is $14 plus how much it is to get in the fair is $6 so the total cost to get in and do 7 rides is $20 but the total cost for 7 rides is $14
Step-by-step explanation:
Answer is $14 for 7 rides
PLZ GIVE BRAINLIEST
PLEASE HELP What is the x value. (Remember to round to the nearest tenth.)
Answers
Answer:
the answer might be 71.9
Step-by-step explanation:
add 12.8 and 5.3 =18.1 then
90-18.1=71 9
Step by step Explanation:
first multiply 12.8 * 5.3
From that you get 67.84
Then round to the nearest tenth which gives you 67.8
Glad I can help :)
A sales person makes $200 each week plus an additional $24 per sale. This sales person wants their weekly paycheck to be at least $500.Which inequality could be used to solve for how many sales () the sales person will have to make to reach or exceed their goal?
Answers
b. 12.5 sales but since you can’t make half a sale the answer will be 13
Point Q is plotted on the coordinate grid. Point P is at (20, −30). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q?
On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 40, negative 30.
Point R is at (−40, 30), a distance of 60 units from point Q
Point R is at (−40, −10), a distance of 20 units from point Q
Point R is at (−40, −30), a distance of 60 units from point Q
Point R is at (−40, 10), a distance of 20 units from point Q
Answers
Answer:
Point R is at (−40, −10), a distance of 20 units from point Q
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
(-40,30)
Given that ABC~LMN
What is the length of AC?
Answers
Answer:
B. 12
Step-by-step explanation:
✔️Find the value of x
The side lengths of two similar triangles are always proportional.
Given that ∆ABC ~ ∆LMN, therefore:
[tex] \frac{AB}{LM} = \frac{AC}{LN} [/tex]
AB = 5
LM = 10
AC = x + 5
LN = 3x + 3
Plug in the values
[tex] \frac{5}{10} = \frac{x + 5}{3x + 3} [/tex]
Cross multiply
[tex] 5(3x + 3) = 10(x + 5) [/tex]
[tex] 15x + 15 = 10x + 50 [/tex] (distributive property)
Collect like terms
[tex] 15x - 10x = -15 + 50 [/tex]
[tex] 5x = 35 [/tex]
Divide both sides by 5
x = 7
✔️Find AC
AC = x + 5
Plug in the value of x
AC = 7 + 5
AC = 12
what is 5 quarts converted to liters
Answers
Answer:
1 quart = 0.95 liters. with this said, we can conclude that 5 quarts equals 4.73 liters
Answer:
4.73176
Step-by-step explanation:
okay so this is the exact decimal but you can just write you answer as 4.73
hope this helps
Item 1
One February day, the low temperature in St. Paul, MN was -17°F. Over a period of three hours, the temperature rose 5 °F per hour. After three hours, what was the temperature?
°F
Answers
5 x 3 is 15, the three stands for the three hours and the five stands for the temperature per hour increase. -17f plus 15 is -2f
What is an equation of the line that passes through the points (3, 0) and (6, -1)
Answers
Please mark BRAINLEST!!
Answer:
(Note: This is assuming that the answer can be in any format.)
[tex]y - 0 = -\frac{1}{3} (x - 3)[/tex]
Step-by-step explanation:
When given at least two points, you can find write an equation using the point-slope formula: [tex]y - y_1 = m (x - x_1)[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values from one point that need to be substituted in to make an equation, as well as the [tex]m[/tex] which represents the slope.
Find the slope by using the slope formula [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] and the two points given:
[tex]\frac{-1-0}{6-3}[/tex]
[tex]\frac{-1}{3}[/tex]
So, the slope is [tex]-\frac{1}{3}[/tex].
Next, choose a point (in this case, I chose (3,0)) and substitute its x and y values into [tex]x_1[/tex] and [tex]y_1[/tex] respectively, and also substitute [tex]-\frac{1}{3}[/tex] for m. This forms an equation of a line in point-slope formula:
[tex]y - 0 = -\frac{1}{3} (x - 3)[/tex]
ABCD is a quadrilateral with AB equal and parallel to DC. prove that AD is equal and parallel to BC
Answers
Answer: see below proof
Step-by-step explanation:
Imagine a diagonal line AC
If AB = DC and AB // DC then angle BAC =
Angle ACD Alternate Interior angles theorem.
Then if AB = AD and angle BAC = angle ACD and AC = AC then triangle ABC is congruent to triangle CDA.
If triangle ABC is congruent to triangle CDA then AD = BC because congruent parts of congruent triangles are congruent.
If triangle ABC is congruent to triangle CDA then angle ACB = angle CAD because congruent parts of congruent triangles are congruent.
If angle ACB = angle CAD then AD // BC because of the alternate interior angles theorem.
y = -3x + 3
-3x - y = -6
Answers
Answer:
let it be equation 1 and 2
Step-by-step explanation:
-3x -(-3x+3) =-6
-3x +3x -3= -6
0x = -3
x = 0
y = -3(0) +3
y = 3
Last week, Laura volunteered at the community clean-up event and earned 2 patches for her scout uniform. She spent 4 minutes sewing the patches onto her uniform. This week, Laura spent the week at the scout camp and earned another 6 patches.
If Laura sews at the same rate, how many minutes will she spend sewing her new patches onto her uniform?
Answers
Answer:
12
Step-by-step explanation:
let's say number of patches is x, and amount of time is y. the time per patch is k.
k * x = y
2 * k = 4
k = 2
2 * x = y
2 * 6 = 12
why is it when you take a shower and you come out clean, how does the towel become dirty? This some real mathematics
Answers
okay. so, when you wash your hair, there is no way to get 100% of the shampoo/conditioner out of your hair, so the excess it rubbed onto the towel. Say you have no hair. The shower isn't germ-free, so even if you feel clean, the towel and yourself is still a harbor of germs, good and bad.