Complete the first 4 steps for graphing the quadratic function given. (Use ^ on the keyboard to indicate an exponent.) Then graph the quadratic function. Be sure to label the axes and vertex.
y = -x^2 - 4x - 3
( Thanks in advance!! )
Answers
The quadratic equation y = -x^2 - 4x - 3 has a degree of 2
The vertex of the function is (-2,1)
How to graph the function?The equation of the function is:
y = -x^2 - 4x - 3
Differentiate
y' = -2x - 4
Set to 0
-2x - 4 = 0
Solve for x
x = -2
Substitute -2 for x in y = -x^2 - 4x - 3
y = -(2)^2 - 4(-2) - 3
y = 1
The above means that the vertex of the function is (-2,1)
See attachment for the graph of the function
Read more about quadratic functions at:
https://brainly.com/question/1497716
Related Questions
I need help! what is this equation in factored form and how do you solve it using the X-method (or really any other method?)
y = -3x^2 - x + 2
Answers
Answer:
See below
Step-by-step explanation:
Part 1:
Factored: y = (-3x+2)(x+1)
Part 2:
Not exactly sure what the "x" method is after your explaination, so ill just use the quadratic formula.
Quadratic Formula:
[tex]x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]
Also:
[tex]x^2=a\\x=b\\2=c[/tex]
So if you solve (not showing work):
Your x-ints are:
-1
2/3
In a class of 26 students, 14 have a cat and 7 have a dog. There are 5
students who have a cat and a dog. What is the probability that a
student chosen randomly from the class does not have a dog?
Answers
Now, 14/26 only own a cat. So you can do a cross multiplication (as shown in the picture) to find the probability.
Final answer: 53.8%
Construct the indicated confidence interval for the population mean using the t-distribution. Assume the population is normally distributed.
picture of question below
Answers
Using the t-distribution, it is found that the confidence interval is (14.2, 14.8).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 18 - 1 = 17 df, is t = 2.1098.
The other parameters are given by:
[tex]\overline{x} = 14.5, s = 0.68, n = 18[/tex].
Hence, the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 14.5 - 2.1098\frac{0.68}{\sqrt{18}} = 14.2[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 14.5 + 2.1098\frac{0.68}{\sqrt{18}} = 14.8[/tex]
The confidence interval is (14.2, 14.8).
More can be learned about the t-distribution at https://brainly.com/question/16162795
Determine the finance charge on a $6,800 car loan if monthly payments were $158.50 for 48 months.
Answers
Answer:
808
Step-by-step explanation:
Plan
You make 48 payments of 158.50. That gives you the total of what you have paid back.
Equation
Total payment = months * monthly payments
Solution
Total Payment = 48 * 158.50
Total Payment = 7608
Cost of the loan
Finance charge = amount paid - amount loaned
Finance charge = ?
amount paid = 7608
amount loaned = 6800
Finance charge = 7608 - 6800
Answer: Finance charge = 808
What is the discriminant of the polynomial below?
9x^2 - 18x + 9
A. 0
B. 648
C. -306
D. -18
Answers
To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $6 per hour. The chemistry club wants to spend at most $49 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answers
Answer:
t >= 5
Step-by-step explanation:
A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled. What is the probability of rolling a number greater than 2? Write your answer as a fraction in simplest form.
Answers
Answer:
4/6
Step-by-step explanation:
6 is the denominator as it's the total of the entire thing.
4 is the numerator because there's 4 numbers greater than 2
Multiply.
12x^4 (-5/6x^3y^2)
Answers
Answer:
-10[tex]x^{7}[/tex][tex]y^{2}[/tex]
Step-by-step explanation:
12[tex]x^{4}[/tex]([tex]-\frac{5}{6} x^{3}[/tex][tex]y^{2}[/tex])
First multiply 12 * - [tex]\frac{5}{6}[/tex] , solving this you get -10
Next multiply [tex]x^{4}[/tex] by [tex]x^{3}[/tex] , solving this you get [tex]x^{7}[/tex]
Finally you have [tex]y^{2}[/tex], and nothing to multiply it by. So it stays as [tex]y^{2}[/tex]
Put is all together and you get -10[tex]x^{7}[/tex][tex]y^{2}[/tex]
-10x^7y^2
i do k12 i just took that test
In the study of vacuum tubes, the equation y + (0.4)(y^ -1) y' y 0 is encountered. Find the Taylor polynomial of degree 4 approximating the solution with initial values y(0)= 1, y'(0) 0 P4 (x)=
Answers
Answer: let me get back with you after
Step-by-step explanation:
WORTH 75 POINTS WILL MARK BRAINLYEST HELP ME PLEASE 75 75 POINTS
Answers
Your answer is [tex]\frac{d^7}{c}[/tex]
Yw :D
Answer:
d⁷/c
Step-by-step explanation:
djsjdnsjjwndjaojc
OLZ HELP ILL MARK AS BRAINLEST
Use the excerpt to answer the question. As Melanie climbed down into the 2 points rowboat, Gina scooted over on the bench to make room for her. "We have to pick up Jacob now," Gina said, handing Melanie one of the oars. “And we should hurry so we can be long gone before the patrol barge comes by." Gina hadn't told Mom where she was going. Her mother had been smoothing a washcloth over Brandon's forehead as Gina had headed out. When her mother had asked where she was off to, Gina had tossed out some vague explanation. It was better for Mom not to worry. She had enough to worry about these days. They all did. Which statement conveys the main idea of the excerpt?
Gina, Melanie, and Jacob are worried to leave Brandon when they take their rowboat out because they know his mother has been fussing over him a lot lately.
Gina and Melanie need to get Jacob before they are caught, and Gina doesn't want her mother to know where she is going so as not to worry her.
Gina's mom is worrying about her and Melanie because they are going to pick up Jacob in their rowboat.
Jacob is missing, and his friends Melanie and Gina decide to go looking for him without telling anyone
Answers
Answer:
the second one
Step-by-step explanation:
Gina's mom does not know where she is, meaning that Gina did not tell her and implyling she did not want to worry her.
Jake scored 9 out of 12 field goals during a basketball game. Reggie scored 3 out of 5. Who has the better average for this game?
Explain.
(I will give brainliest if you show your work)
Answers
Answer: jake
Step-by-step explanation:
no need to find avarage
9 to 12 is 0.75 or 75%
3 to 5 is 0.60 or 60%
step by step
9 divided by 12 is 0.75
3 divided by 5 is 0.60
to turn in to percentage just move two decimal places to the left .
Answer:
Jake
Step-by-step explanation:
When you compare them with fractions like on a fraction line Jake has more than Reggie
Solve for x: 3(x + 1) = 2(x - 1)
0-5
What’s the answer?
Answers
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=−8/3
Decimal Form:
x=−2.6
Mixed Number Form:
x=−2 2/3
hope this helps
3x+3=2x-2
3x+3-2x=-2
3x-2x=-2-3
x=-2-3 because 2+3 is five so it’s -2 so it would be - five(-5) just - turns into plus
x=-5
Which of the following has eight faces?
ОО
O A. octahedron
O B. tetrahedron
O C. icosahedron
O D. dodecahedron
Answers
please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
C
Step-by-step explanation:
because 2.5x2.5=5 min so in a another 2 page which is 2.5 min so it C
HELP my mom said if i get caught up with my school work they will take me to the beach so help me with this test pls
Answers
Answer:
If i give you the answers, it will not help you, because you need to learn these things...I will however give you something that will help you .
Step-by-step explanation:
Hope this helps! Have a good day! :)
Solve using elimination. Write your answer as an ordered pair (x,y).
3x - 4y = -29
and
6x + 5y = -32
Answers
Answer:
x=-7,y=2
Step-by-step explanation:
3x - 4y = - 29
and 6x + 5y = - 32
3x - 4y = - 29 (1)
6x + 5y = -32 (2)
equation (1) x 2
6x-8y = -58
equation (2) × 1
6x + 5y = - 32
Substracting → - 13y = -26
13y = 26.
26/ 13 ⇒ y =
⇒ yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy = 2
Putting y = 2 in equation (1), we have
3x - 4(2) = - 20
→ 3x = -29 +8
→3x = -21
→ X = -7
x = - 7
6 more than x is less than 4
Answers
Answer:
how
Step-by-step explanation:
Answer:
6×4?
Step-by-step explanation:
6 is more than 4 bro
what need to do here
Endeye needs to split 1/5 of the dinner left over from last week to feed her 3 siblings. What fraction of the original dinner will each sibling have to eat tonight?
Answers
Answer:
They each had 1/20 of the original meal
Step-by-step explanation:
To begin, there are 4 people. Her siblings, and herself. She is splitting the 1/5 leftover to feed them. To do this, we simply take 1/5 and put it into a fraction to get 0.2. Next, we can put 0.2 / 4 into a calculator to get how much each person can get.
0.2 / 4 = 0.05.
Now, we need to turn it into a fraction to find out how much they had in fraction form of the original.
0.05 = 1/20
They each had 1/20 of the original meal
Help me again! No one replied to my last one!
Answers
There are 2 rectangles with the dimensions of 6 by 2.
6 x 2 = 12, times 2 (since there are two equal ones) = 24.
There are 2 rectangles with the dimensions of 9 by 2.
9 x 2 = 18, x 2 = 36.
Lastly, there are two rectangles with the dimensions of 9 by 6.
9 x 6 = 54, x 2 = 108.
Now, we must add them all up.
24 + 36 + 108 =
168 (yards squared).
15)
Common Metals
Name Melting Point Density (w/cm)
Zinc
419.53 °C 7.134
Nickel 1455°C 8.912
Copper 1084.62°C 8.96
Silver 961.78°C 10.501
Gold 1064.18°C 19.282
You are hired as a scrap metal dealer. A customer wants to sell you a piece of precious scrap metal. You know it is one of these
common metals. You slowly heat the metal and it melts at 962 °C. You also take the density of the metal and find it to be roughly
10.5 g/cm? What is the MOST LIKELY identity of the metal?
copper
A)
B
B)
gold
C)
silver
D)
zinc
Answers
The data given are
melting point density
Zinc 419.53 oC 7.134
Nickel 1455oC 8.912
Copper 1084.62oC 8.96
Silver 961.78oC 10.501
Gold 1064.18oC 19.282
density is the mass per unit volume. Melting point is determined by the intermolecular forces between particles in the solids.
We have been asked to find which cube weighs the most
density = mass/volume
when volume is constant for all the metals, then density is directly proportional to mass. Therefore metal with highest density has the highest mass.
from the given metals, metal with highest density is Gold.
correct answer is Gold.
3. Amy Schorling is age 24 and is unmarried. She uses her vehicle
for business. Her driver-rating factor is 1.85. Her vehicle is
classified D-14. Her insurance consists of $25,000 property
damage, 25/50 bodily injury, $50-deductible comprehensive, an
no collision coverage.
a. What is her annual premium?
b. How much is her annual premium if she includes
$50-deductible collision coverage?
Answers
Based on Amy Schorling's driver rating factor, vehicle classification and bodily injury coverage, her annual premium is $576.46.
If she includes the $50-deductibel collision coverage, her insurance premium becomes $1,067.08.
How much is Amy Schorling's annual premium?At $25,000 property damage, her 25/50 bodily injury coverage premium is $206.40.
This should be added to her $50 comprehensive deductible D-14 vehicle classification of $105.20.
Annual base premium:
= 206.40 + 105.20
= $311.60
Annual premium:
= Annual base premium x Driver rating factor
= 311.60 x 1.85
= $576.46
How much is the annual premium including collision coverage?The annual base premium becomes:
= 311.60 + 265.20
= $576.80
Annual premium becomes:
= 576.80 x 1.85
= $1,067.08
Find out more on insurance coverage at https://brainly.com/question/25740123.
Explain why 16 to the power of 1/2 is equal to 4. Give as much detail as possible. FIRST ONE TO ANSWER GETS BRAINLIEST
Answers
Answer:
4
Step-by-step explanation:
16^1/2 = sqrt(16) = 4
4*4 = 16
2. Expand the following expression: 7 (1 + f)
Answers
Hello!! I'm always here to help!!!
_____________________
7 (1+f) = 7 · 1 + 7f
= 7 · 1 + 7f
_____________________
Have a great day!!
Let's Apply Solve for the surface area of the following figures.
please i need this rn
Answers
Answer:
Step-by-step explanation:
1) Surface area of a square = s*s = 12*12 = 144 in
2) Surface area of a Cone = A=πr(r+h2+r2) = 3.142*4(4+22*2+4*2) = 351.904 cm^2
3) S.A of a Cylinder =2πrh+2πr2 = 2*3.142*2*14 + 2*3.142*2*2 = 201.088 m^2
4) S.A of a square Pyramid = a^2 + 2a squareroot (a^2/4 + h^2) = 516.5m^2
5) S.A of a Sphere = 4*pie*r^2 = 4* 3.142*15^2 = 2827.8mm^2
Which congruence theorem can be used to prove △WXS ≅ △YZS? Triangles W X S and Y Z S are connected at point S. Angles W X S and S Z Y are right angles. Sides X S and S Z are congruent. SSS ASA SAS HL
Answers
Answer: ASA
Step-by-step explanation:
factor the expression k^2+16k+64
Answers
Answer:
[tex]\huge\boxed{\sf (k + 8)(k + 8)}[/tex]
Step-by-step explanation:
Given expression:
[tex]k^2+16k+64[/tex]
We can write it as:
[tex]=(k)^2+2(k)(8)+(8)^2[/tex]
Using formula [tex]\bold{a^2+2ab+b^2=(a+b)^2}[/tex]
[tex]=(k+8)^2[/tex]
= (k + 8)(k + 8)
[tex]\rule[225]{225}{2}[/tex]
9) Write the equation of the given line in slope-intercept form:
Answers
Answer:
[tex]y = - 3x - 1[/tex]
Step-by-step explanation:
shown in attachment
Angles A and C are supplementary. Find the measure of angle C.
A. List 2 pairs of angles in square CDFG that are complementary.
B. Name three angles that sum up to 180°
Answers
a. Two pairs complementary angles are: ∠DCM and ∠DMC; ∠MGF and ∠GMF
b. m∠GMF + m∠CMG + m∠DMC = 180°
What are Supplementary Angles and Complementary Angles?If the sum of two angles equal 90°, they are complementary angles.
If the sum of two angles equal 180°, they are supplementary angles.
Given square CDFG:
a. Two pairs of angles that are complementary are: ∠DCM and ∠DMC; ∠MGF and ∠GMF
b. m∠GMF + m∠CMG + m∠DMC = 180° (angles on a straight line)
Therefore, three angles that sum up to 180° are: ∠GMF, ∠CMG, and ∠DMC.
Learn more about complementary angles on:
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Find the least common denominator (LCD) 8/9 and 4/5
Answers
Answer:
45
Step-by-step explanation:
First we write the first 10 multiples of 9 (the first denominator) :
9,18,27,36,45,54,63,72,81,90
Now we write the first 10 multiples of 5 (the second denominator) :
5,10,15,20,25,30,35,40,45,50
As we can see 45 is the lowest number that appears in both list.
Therefore 45 is the LCD of 8/9 and 4/5
Answer:
45
Step-by-step explanation:
So since we are finding the LCD, we only look at the denominators, 9 and 5.
We can count until we find the denominator:
[tex]9,18,27,36,45\\5,10,15,20,25,30,35,40,45[/tex]
So the LCD would be 45.