Find the zeros of y = 4x2 – 12x – 16

Answers

Answer 1

Answer:

x=-1 or x=4

Step-by-step explanation:

First divide by 4 to get rid of the factor 4 at x², then you have:

x² - 3x - 4 = 0

to factor that, look for two numbers that when added, give -3, and when multiplied, give -4. This is guesswork but usually doable:

-4 + 1 = -3

-4 * 1 = -4

so -4 and +1 are our numbers.

The factorization is therefore: (x - 4)(x + 1) = 0, and the solutions are

x-4 = 0 or x+1 = 0, so x=4 or x=-1


Related Questions

Construct an equation that has k = 9 as its solution. Use k on both sides of the equation.

Answers

Answer:

10k ÷ 10 + 1 = k + 1

Step-by-step explanation:

LHS

10k ÷ 10 + 1

10(9) ÷ 10 + 1

90 ÷ 10 + 1

10

RHS

k + 1

9 + 1

10

10k ÷ 10 + 1 = 10

You have $3.40 and would like to buy some coffee. If a pound costs $8, how many ounces can you buy?

Answers

Answer:

6.8 ounces

Step-by-step explanation:

1 lb = 16 oz

3.40/8 * 16 = 6.8

Find the slope of the line on the graph.

Answers

The slope should be -1/2, because the line goes down 1 unit and then right 2 units.

Also it would be y = -1/2x+1 in y=mx+b.

Solve for x. Round to the nearest tenth of a degree, if necessary.(step by step would help, thank you)

Answers

Answer:

x = 30.5 degree

Step-by-step explanation:

take angle x as reference angle

using sin rule

sin x = opposite / hypotenuse

sin x = 3.4 / 6.7

sin x = 0.507

x = [tex]sin^{-1} (0.507)[/tex]

x = 30.46

x = 30.5 degree

What is the answer to this I’m confused

Answers

Answer:

this is an accurate equation because the square root of 3•3•5•5•7•7 is 105 & 3•5•7 is also 105, making them equal! i’m sorry i also don’t understand what the question is asking, but i hope this helped :/

Evaluate a^4 - 6b + 3b ÷ ac for a=-2, b=6, c=3
Show work please

Answers

Answer:

0.333

Step-by-step explanation:

2^4-6(6)+3(6)÷2×3

=16-36+18÷6

=-2÷6=0.333

Question Progress
Homework Progress
54/118 Marks
A semicircle has radius 8.2 cm.
Work out the area of this semicircle.
Take a to be 3.142 and give your answer to 1 decimal place.

Answers

Answer:

Area = 105.6 square cm

Step-by-step explanation:

[tex]Area \ of \ circle = \pi r^2\\Area \ of \ semi-circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.142 \times 8.2^2 = 105.6cm^2[/tex]

Pleaseeee help is for today

Answers

Answer:

4

Step-by-step explanation:

yes

Please answer the question in the photo
"What is the value of x in the figure?"
(x+10)
------------------
30

Answers

30 ( x + 10 = 55 ) hope this
(x+10)+30=90
x+40=90
x=50

13.
There is a box containing both red and green apples. There are 60 apples in total.
Determine the number of green apples if 40% of the apples are red.
a
b)
c)
d)
42
36
34
20

Answers

Answer:

36 green apples

Step-by-step explanation:

Red=40%

Green =x%

40/100 × 60apples

0.4×60

24red apples

so 60-24

36green apples

Answer:

b) 36.

Step-by-step explanation:

Justicemoya35 has an excellent answer, but I will provide a slightly different approach!

According to the word problem, the box contains 60 apples.

If 40% of the apples are red, then 60% of the apples are green.

As I mentioned before, there are 60 apples; 60% of the 60 apples are green.

This means we have the find 60% of 60.

We can find the percentage of a number by using this formula:

60% OF 60

[tex]\frac{is}{of} =\frac{percent}{100}[/tex]

[tex]\frac{x}{60} =\frac{60}{100}[/tex]

Now that I've correctly set up the problem, we cross multiply, then divide the products.

[tex]60*60=3600[/tex]

[tex]100*x=100x[/tex]

[tex]3600/100x=36[/tex]

[tex]x=36.[/tex]

Therefore, 36 apples are red.

A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at the nth bounce:

f(n) = 9(0.7)n

What does the number 0.7 represent? (1 point)
A.The ball bounces to 30% of its previous height with each bounce
B.The height from which the ball was dropped at the nth bounce is 0.7 feet
CThe height at which the ball bounces at the nth bounce is 0.3 feet
D.The ball bounces to 70% of its previous height with each bounce

Answers

The answer is C hope I helped

2 x 140 5/10 Solve this please...

Answers

Answer:

281

Step-by-step explanation:

(Sorry I'm not sure exactly if that's what you were looking for!!) I may be wrong! The 140 5/10 part messed me up a little bit because I don't know if it was 140 and 5/10 (All as one number) so I solved accordingly! I hope that helps!

Which graph represents an exponential function?i

Answers

jxjfjfjfjcjfjfjjfjfjfbfjfj

PLEASE SOMEONE HELP ME ILL MARK BRAINLESS AND PLEASE EXPLAIN AHHHH HELP

Answers

Step-by-step explanation:

The 2 lines are parallel to each other which means that angle #5 and 93° are alternate interior angles so by definition, they are equal. Hence angle 5 = 93°

PLEASEEEE HELPPP IM BEING TIMEDDD WILL GIVE BRAINLIEST AND POINTS

Choose the polynomial written in standard form.

xy2 + 4x4y + 10x2
x4y2 + 4x3y + 10x
x4y2 + 4x3y5 + 10x2
x6y2 + 4x3y8 + 10x

Answers

Answer:

Can you please organize them so that the exponents are marked as x^2?

Step-by-step explanation:

To me, none of this is in standard form because the numbers are before the variables.

Calculate the volume of the rectangular pyramid below

Answers

Answer:

300mm^3

Step-by-step explanation:

formula: [tex]\frac{lwh}{3}[/tex]

10x7.5x12= 900

900/3=300mm^3

Classification of respondents only on the basis of gender is an application of Select one:
1)Ordinal Scale
2)Ratio Scale
3)Nominal Scale
4) Interval Scale​

Answers

Nominal scale is the correct answer to your question!!

Evaluate 3xy+w. If x=4, y=5 and w=-3
Help

Answers

Answer:

57

Step-by-step explanation:

Given:

x = 4

y = 5

w = -3

Work:

3xy + w

3(4)(5) + (-3)

12(5) - 3

60 - 3

57

Based only on the information given in the diagram, it is guaranteed that ДАВС дXYZ. A. True B. False​

Answers

Answer:

True

Step-by-step explanation:

They both have a 90 degree angle90+38=128180-128=52The triangles are similar by AAA(Angle Angle Angle)

Find the measure of the arc indicated.

Answers

Answer:

option 3

hope youre online exam will be easy

Step-by-step explanation:

solve all for brainiest

Answers

Answer:

Down here ↓↓↓↓↓↓

Step-by-step explanation:

2. 40% of x = 35

a. Equation = 0.4x = 35

b.

35 / 4 = 8.75

8.75 x 10 = 87.5

Check:

87.5 * 0.4 = 35

3. Priya has completed 9 questions which is 60% of the entire test.

a. Equation = 0.6x = 9

b.

9 / 6 = 1.5

1.5 x 10 = 15

15 questions

Check:

0.6(15) = 9

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Using AJKL, what is the length of JK? Answers are in feet.
NEED HELP ASAP

Answers

Answer:

JK = 21 ft

Step-by-step explanation:

To find JK = x, apply Trigonometry function.

Reference angle = 65°

Opposite side = JK = x

Adjacent side = KL = 10 ft

Apply TOA:

Tan 65° = Opp/Adj

Tan 65° = x/10

Multiply both sides by 10

10*Tan 65° = x

21.4450692 = x

x = 21 ft (nearest feet)

PLEASE HELP ME !!! ASAP PLS!!!

Answers

Answer:

AI and AJ

Step-by-step explanation:

Opposite rays start at the same point (A) and go in the complete opposite direction

In a family with 6 ​children, excluding multiple​ births, what is the probability of having 6 ​girls? Assume that a girl is as likely as a boy at each birth

Answers

Answer:

There's is a 25% chance on having all 6 births be girls. There is a 50-50 chance of a boy nor a girl. However, it is possible.

The probability of having 6 ​girls will be 1/64.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

In a family with 6 ​children, excluding multiple​ births.

Then the probability of having 6 ​girls will be

Leaving out the third gender, let's suppose that there is an equal chance of having a girl or a boy.

Any child can be either a boy or a girl, with each having equal probability of = 1/2

Each of these blank spaces can be filled in 2 ways : B and G (denoting 'B' and 'G' respectively)

Probability of first blank being a ''G' is = 1/2

and second blanks too being a “G” is = 1/2

Thus, probability of each blank individually being a “G” = 1/2

Thus, probability of all being a “G” = (1/2) (1/2)  (1/2) (1/2) (1/2)* (1/2) = (1/2)6 = 1/64

Thus, probability of 6 children being all 6 girls = 1/64

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

pls help for number 3!!

Answers

Answer:

1820

Step-by-step explanation:

13 x 14 x 10 = 1820

Please mark brainliest


What is the value of x?

Answers

Answer:

45 degree

Step-by-step explanation:

3x - 9 + 24 + 30 = 180 degree (being sum of interior angles of a triangle)

3x + 45 = 180

3x = 180 - 45

x = 135/3

x = 45 degree

Answer:45 độ

Step-by-step explanation:

3x - 9 + 24 + 30 = 180 độ (là tổng 3 góc của tam giác)

3x + 45 = 180

3x = 180 - 45

x = 135/3

x = 45 độ

Mike is building a model of a classic car: a '67 Chevy Impala. The scale is 1 in : 48 in. The actual length of the car is 213.2 inches. How long will the model be? Round to the nearest tenth.

Answers

The model will be at least 4.20 inches and 5.7

A simple random sample of items resulted in a sample mean of . The population standard deviation is . a. Compute the confidence interval for the population mean. Round your answers to one decimal place. ( , ) b. Assume that the same sample mean was obtained from a sample of items. Provide a confidence interval for the population mean. Round your answers to two decimal places. ( , ) c. What is the effect of a larger sample size on the interval estimate? Larger sample provides a - Select your answer - margin of error.

Answers

Answer:

(a): The 95% confidence interval is (46.4, 53.6)

(b): The 95% confidence interval is (47.9, 52.1)

(c): Larger sample gives a smaller margin of error.

Step-by-step explanation:

Given

[tex]n = 30[/tex] -- sample size

[tex]\bar x = 50[/tex] -- sample mean

[tex]\sigma = 10[/tex] --- sample standard deviation

Solving (a): The confidence interval of the population mean

Calculate the standard error

[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]

[tex]\sigma_x = \frac{10}{\sqrt {30}}[/tex]

[tex]\sigma_x = \frac{10}{5.478}[/tex]

[tex]\sigma_x = 1.825[/tex]

The 95% confidence interval for the z value is:

[tex]z = 1.960[/tex]

Calculate margin of error (E)

[tex]E = z * \sigma_x[/tex]

[tex]E = 1.960 * 1.825[/tex]

[tex]E = 3.577[/tex]

The confidence bound is:

[tex]Lower = \bar x - E[/tex]

[tex]Lower = 50 - 3.577[/tex]

[tex]Lower = 46.423[/tex]

[tex]Lower = 46.4[/tex] --- approximated

[tex]Upper = \bar x + E[/tex]

[tex]Upper = 50 + 3.577[/tex]

[tex]Upper = 53.577[/tex]

[tex]Upper = 53.6[/tex] --- approximated

So, the 95% confidence interval is (46.4, 53.6)

Solving (b): The confidence interval of the population mean if mean = 90

First, calculate the standard error of the mean

[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]

[tex]\sigma_x = \frac{10}{\sqrt {90}}[/tex]

[tex]\sigma_x = \frac{10}{9.49}[/tex]

[tex]\sigma_x = 1.054[/tex]

The 95% confidence interval for the z value is:

[tex]z = 1.960[/tex]

Calculate margin of error (E)

[tex]E = z * \sigma_x[/tex]

[tex]E = 1.960 * 1.054[/tex]

[tex]E = 2.06584[/tex]

The confidence bound is:

[tex]Lower = \bar x - E[/tex]

[tex]Lower = 50 - 2.06584[/tex]

[tex]Lower = 47.93416[/tex]

[tex]Lower = 47.9[/tex] --- approximated

[tex]Upper = \bar x + E[/tex]

[tex]Upper = 50 + 2.06584[/tex]

[tex]Upper = 52.06584[/tex]

[tex]Upper = 52.1[/tex] --- approximated

So, the 95% confidence interval is (47.9, 52.1)

Solving (c): Effect of larger sample size on margin of error

In (a), we have:

[tex]n = 30[/tex]     [tex]E = 3.577[/tex]

In (b), we have:

[tex]n = 90[/tex]    [tex]E = 2.06584[/tex]

Notice that the margin of error decreases when the sample size increases.

A certain factory produces and sells 8000 cars per month, making a monthly net profit of P dollars. They sell
each car for n dollars and it costs them c dollars to produce a single car.
Write an equation that relates P. n, and c.

Answers

Answer:

p= 8000n-8000c

Step-by-step explanation:

8000

p= n - c

or

p= 8000n-8000c

Esentially you need to subtract n, the amount they sell each car for by c, the amount it costs to produce a car, (which should be less because the company has to make money) this would give you the total they make a month, P.

Because the amount of cars is constant, 8000, you can always multiply the cost of the car and how much its sold for by 8000. Otherwise, you would have another variable like k, which would be how many cars sold

If the code AXISEM represents the number 9.54207, what number is represented by the code XlS + SEX? a.AIM b.MIM c.MES d.SIX​

Answers

Answer:

B. MIM

Step-by-step explanation:

A = 9

X = 5

I = 4

S = 2

E = 0

M = 7

XIS = 542, SEX = 205

542 + 205 = 747

747 = MIM

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