Use a geometric model to factor 3x2 + 4x + 1 by following
these steps
Factor 1
2
Product
Step 1: Model the trinomial by placing tiles to form a
rectangle in the top left corner of the Product
section
+X
Factor 2
Check
B

Answers

Answer 1

Answer:

The factors of the expression [tex]f(x)= 3x^{2} + 4x + 1[/tex] are (3x + 1)(x + 1).

Step-by-step explanation:

The expression is:

[tex]f(x)= 3x^{2} + 4x + 1[/tex]

Factorize the expression as follows:

[tex]f(x)= 3x^{2} + 4x + 1[/tex]

       [tex]=3x^{2}+3x+x+ 1\\\\=3x(x+1)+1(x+1)\\\\=(3x+1)(x+1)[/tex]

Thus, the factors of the expression [tex]f(x)= 3x^{2} + 4x + 1[/tex] are (3x + 1)(x + 1).

Answer 2

Answer: It shows correct if this is the model your looking for

Step-by-step explanation:

Use A Geometric Model To Factor 3x2 + 4x + 1 By Followingthese StepsFactor 12ProductStep 1: Model The

Related Questions

Maggie is rock climbing. After reaching the summit, she descends 14 feet in 2 1/3 minutes. If she continues at this rate, where will Maggie be in relation to the summit after 8 minutes?

Answers

Answer:

about 27.42

Step-by-step explanation:

The CEO of a large electric utility claims that more than 75 percent of his customers are very satisfied with the service they receive. To test this claim, the local newspaper surveyed 100 customers, using simple random sampling. Among the sampled customers, 77% say they are very satisfied. We want to decide if the 77% is enough evidence to lead us to accept or reject the CEO’s claim?

Answers

Answer:

[tex]z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462[/tex]  

Now we can find the p value using the alternative hypothesis with this probability:

[tex]p_v =P(z>0.462)=0.322[/tex]  

Since the p value is large enough, we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%

Step-by-step explanation:

Information provided

n=100 represent the random sample selected

[tex]\hat p=0.77[/tex] estimated proportion of students that are satisfied

is the value that we want to test

z would represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We want to verify if more than 75 percent of his customers are very satisfied with the service they receive, then the system of hypothesis is.:  

Null hypothesis:[tex]p\leq 0.75[/tex]  

Alternative hypothesis:[tex]p > 0.75[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462[/tex]  

Now we can find the p value using the alternative hypothesis with this probability:

[tex]p_v =P(z>0.462)=0.322[/tex]  

Since the p value is large enough we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%

what is the area of a circle with the equation (x − 6)² + (y + 2)² = 17 ?

Answers

Answer:

17π

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

Area of a circle is:

A = πr²

r² = 17, so A = 17π.

Calculate the volume of the pyramid.
4cm
Base = 35cm
Enter your math answer

Answers

Answer:

V = 46.67cm²

Step-by-step explanation:

[tex]V=\frac{lwh}{3}[/tex]          Use this equation to find the volume of the pyramid

[tex]V=\frac{35*4}{3}[/tex]         Multiply in the numerator

[tex]V=\frac{140}{3}[/tex]           Divide

V = 46.67cm²

If this answer is correct, please make me Brainliest!

SOLVE 3/4 +(1/3/1/6) -(1/2)

Answers

Answer:9/4

Step-by-step explanation:

3/4 + (1/3/1/6) - (1/2)

3/4 + (1/3 ➗ 1/6) - 1/2

3/4 + (1/3 x 6/1) - 1/2

3/4 + ((1x6)/(3x1)) - 1/2

3/4 + (6/3) - 1/2

3/4 + 2 - 1/2

(3+8-2)/4

9/4

There are 5 slices of pepperoni pizza, 1 slice of sausage pizzá, and 3 slices of cheese pizza left at the pizza party. Without looking, Amy took a slice of pizza, ate it, and then took another slice. What is the probability of Amy eating two slices of cheese pizza?

Answers

Answer:

3/8

Step-by-step explanation:

add 5+1+3=9

and there is 3 cheese pizza so its 3 over 8.

Answer:

3/9

Step-by-step explanation:

You ordered some eatables. If c represents
the cost of one cookie and p is the cost of one
pizza. Write an expression for the total cost
of 14 cookies and 10 pizzas.
I

Answers

Answer:

Total Cost = 14c + 10p

Step-by-step explanation:

Answer:

14c+10p= the total cost

A particular paper included the accompanying data on the tar level of cigarettes smoked for a sample of male smokers who subsequently died of lung cancer.

Assume it is reasonable to regard the sample as representative of male smokers who die of lung cancer.

Is there convincing evidence that the proportion of male smoker lung cancer deaths is not the same for the four given tar level categories at the Alpha = .05 level? (Use 2 decimal places.)

Tar Level Frequency

a. 0-7 107

b. 8-14 375

c. 15-21 500

d. 22 181

x2 =

Answers

Answer:

Check the explanation

Step-by-step explanation:

[tex]H_0[/tex]:proportion of male smoker lung deaths is same for the four given tar level categories.

[tex]H_1[/tex]:proportion of male smoker lung deaths is not the same for the four given tar level categories.

Expected frequency=1177/4=294.25

Tar level     Observed Freq.(O)        Expected Freq.(E)         (O-E)^2/E

0-7                         107                                   294.25                120.435

8-14                        375                                  294.25                5.643

15-21                       553                                 294.25                 227.533

>=22                       183                                  294.25                 42.061

Total=                    1177                                  1177                      395.673

Total chi square score=395.673

df=4-1=3

p-value=CHIDIST(395.673,3)<0.001

p-value<0.001,Reject null hypothesis.

There is sufficient evidence that the proportion of male smoker lung deaths is not the same for the four given tar level categories.

you know I'm ballin usual like Kobe​

Answers

Answer:

miss him :(

Step-by-step explanation:

Answer:

:( RIP

Step-by-step explanation:





Consider that point A is reflected across the x-axis. What is the distance between point A and the point of its reflection?

Answers

Answer:

It would be 2 x the absolute value of the y coordinate.

Step-by-step explanation:

Example:

(5,-3)

Absolute value of y-coordinate is 3 and distance would equal 2 x 3 = 6 units apart.

Math Help!!! ASAP!! I will give you brainliest!!

Answers

Answer:

Step-by-step explanation:

true true false

A car travel 65kms from A to B in 70 minutes and 80 km from B to C in 75 minutes.
Find the average speed in km/h of the car for the whole journey?

Answers

Answer:

  60 km/h

Step-by-step explanation:

The car has traveled a total distance of 65+80 = 145 km in 70+75 = 145 minutes. Then the average speed is ...

  speed = distance/time = (145 km)/(145 min)·(60 min/h) = 60 km/h

The average speed for the journey is 60 km/h.

Uta invests an amount into a compound interest investment account that pays 6% a year. After six years, she withdraws her
total balance of $500. Using the formula A - P(1 + r), how much money did Uta initially invest?
$180.00
$320.00
$352.48
$471.70

Answers

Answer:

$352.48

Step-by-step explanation:

500 = P(1+6/100)^6

500 = P(1.141851912)

P = 500 / 1.1418519112 = 352.48

Uma atleta percorreu cinco oitavos de uma pista e ainda precisa percorrer 75 quilômetros para completar seu percurso . Quantos quilômetros a atleta percorrerá no total?

Answers

Answer:

The athlete will run 200 kilometers.

A atleta percorrerá 200 quilômetros no total.

Step-by-step explanation:

She will run x kilometers.

She has already run 5/8 of the distance(5/8 of x), and still needs to run 75 kilometers.

So

[tex]\frac{5x}{8} + 75 = x[/tex]

[tex]x - \frac{5x}{8} = 75[/tex]

[tex]\frac{8x - 5x}{8} = 75[/tex]

[tex]3x = 8*75[/tex]

[tex]x = \frac{8*75}{3}[/tex]

[tex]x = 200[/tex]

The athlete will run 200 kilometers.

A atleta percorrerá 200 quilômetros no total.

Write a recursive formula to describe the sequence: 1, 3, 7, 13...

Answers

Answer:

f(n) = f(n - 1) + 2(n - 1) for n [tex]\geq[/tex] 1

Step-by-step explanation:

Suppose that there is a 6-sided die that is weighted in such a way that each time the die is rolled, the probabilities of rolling any number from 1 to 5 are equal, but the probability of rolling a 6 is twice the probability of rolling a 1. What are the probabilities of the 6 outcomes? What is the probability that the first roll will be an odd number and the second roll will be an even number?

Answers

Answer:

Probabilities:

1-5:1/7

6: 2/7

Probability of even number: 4/7

Probability of odd number: 3/7

Step-by-step explanation:

We are told that the probability in each throw is as follows. Probability of getting 1 to 5 is the same and the probability of 6 is twice the probability of getting 1. Let us call c the probability of having a 1. So, the probability of having 2,3,4,5 is also c. In this case, the probability of having 6 is 2*c. Since all of this outcomes are mutually exclusively, then we must have the following

[tex] c+ c + c+ c +c + 2c = 1= 7c[/tex](since the probabilities of mutually exclusive events that cover all outcomes of the experiment must add to 1)

This implies that [tex]c = \frac{1}{7}[/tex]. Then, the probability of having a 6 is 2/7 and to have any other number is 1/7.

Each roll is independent of each other, so the probability of having an odd or even number doesn't depend of the other trials.

To calculate the probability of having an even number, we add the probabilties of getting a 2,4,6. In this case, that is 1/7+1/7+2/7 = 4/7. To calculate the probability of an odd number we add the probabilities of 1,3,5 which 1/7+1/7+1/7 = 3/7.

Let P(-6,4) be a point on a rectangle PQRS. What are the coordinates of P if the rectangle is dilated by a scale factor of 3/8?

Answers

Answer:

  (-2.25, 1.5)

Step-by-step explanation:

If dilation is about the origin, each of the coordinates is multiplied by the dilation factor:

  P' = (3/8)P = 3/8(-6, 4) = (-18/8, 12/8)

  P' = (-2.25, 1.5)

Determine which consecutive integers do not have a real zero of f(x) = x^3 + 9x^2 + 8x – 5 between them.


A.) (–8, –7)


B.) (4, 5)


C.) (0, 1)


D.) (–2, –1)

Answers

Answer:

Option B (4,5)

Step-by-step explanation:

The integers (4, 5) do not have real zero.

What is zero of a function?

Knowing what zeros represent can assist us in determining when and how to locate the zeros of functions given their expressions and a function's graph. The value of x when the function itself reaches zero is typically referred to as a function's zero.

A function's zero can take many different forms, but as long as they have a y-value of zero, we will consider them to be the function's zero.

Given Expression

f(x) = x³ + 9x² + 8x - 5

to find which is not a real zero,

condition of real zero is for any function f(a , b) if f(a).f(b) < 0 the function have at least a zero.

1: (-8, -7)

f(-8).f(-7) = [(-8)³ + 9(-8)² + 8(-8) - 5][(-7³)  + 9(-7)² + 8(-7) - 5]

f(-8).f(-7) = (-5)(37)

f(-8).f(-7) = -185 < 0 points  have at least a zero

2:  (4, 5)

f(4).f(5) = [(4)³ + 9(4)² + 8(4) - 5][(5³)  + 9(5)² + 8(5) - 5]

f(4).f(5) = 235 x 385

f(4).f(5) = 94,475 > 0

points do not have any zeros

3: (0, 1)

f(0).f(1) = [(0)³ + 9(0)² + 8(0) - 5][(1³)  + 9(1)² + 8(1) - 5]

f(0).f(1) = -5 x 13

f(0).f(1) = -65 < 0

points  have a zero

4: (–2, –1)

f(-2).f(-1) = [(-2)³ + 9(-2)² + 8(-2) - 5][(-1³)  + 9(-1)² + 8(-1) - 5]

f(-2).f(-1) = 7 x (-5)

f(-2).f(-1) = -35 < 0

points  have a zero

Hence only point  (4, 5) do not have a zero.

Learn more about  zero of a function;

https://brainly.com/question/16633170

#SPJ5

Find the value of each unknown variable in the given figures ?

Answers

10) a. 130

Step-by-step explanation:

[tex]180 - 50 = 130[/tex]

A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. Of the 28 tires surveyed, the mean lifespan was 46,300 miles with a standard deviation of 9,800 miles. Using alpha = 0.05, is the data highly consistent with the claim? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

Answers

Answer:

[tex]z=\frac{46300-50000}{\frac{9800}{\sqrt{28}}}=-1.998[/tex]  

Now we can calculate the p value using the alternative hypothesis with this probability:

[tex]p_v =P(z<-1.998)=0.0229[/tex]  

The p value for this case is significantly lower than the value of [tex]\alpha=0.05[/tex] so then we can reject the null hypothesis at this signficance level and we have enough evidence to conclude that the true mean for the deluxe tire is less than 50000 and the claim is not correct.

Step-by-step explanation:

Information given

[tex]\bar X=46300[/tex] represent the sample mean for the lifespans

[tex]\sigma=9800[/tex] represent the population standard deviation

[tex]n=28[/tex] sample size  

[tex]\mu_o =50000[/tex] represent the value to verify

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic    

[tex]p_v[/tex] represent the p value

System of hypothesis

The idea for this case is verify if the deluxe tire averages at least 50,000, so then the system of hypothesis are:

Null hypothesis:[tex]\mu \geq 50000[/tex]  

Alternative hypothesis:[tex]\mu < 50000[/tex]  

We know the population deviation so then the correct test stattistic would be:

[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{46300-50000}{\frac{9800}{\sqrt{28}}}=-1.998[/tex]  

Now we can calculate the p value using the alternative hypothesis with this probability:

[tex]p_v =P(z<-1.998)=0.0229[/tex]  

The p value for this case is significantly lower than the value of [tex]\alpha=0.05[/tex] so then we can reject the null hypothesis at this signficance level and we have enough evidence to conclude that the true mean for the deluxe tire is less than 50000 and the claim is not correct.

what is the solution to this system?

Answers

1233455:’. Haunts ah entanglement elements cable bowl Miami’s conducts McCall

what is
225x2 + 4 = 0​

Answers

la respuesta es 454 espero que te haya ayudado aunque sea un poquito :D

Giving brainliest for CORRECT awnser.

Answers

Answer:

C

Step-by-step explanation:

Answer:

C. (2x+3)(x+5)

Step-by-step explanation:

We need to use FOIL for this

First

Outer

Inner

Last

Let's see the answers of our options:

A. (2x+1)(x+15) = 2x²+30x+x+15 = 2x²+31x+15

B. (2x+15)(x+1) = 2x²+2x+15x+15 = 2x²+17x+15

C. (2x+3)(x+5) = 2x²+10x+3x+15 = 2x²+13x+15

D. (2x+5)(x+3) = 2x²+6x+5x+15 = 2x²+11x+15

Only option C simplifies to 2x²+13x+15

The driveway in front of the brown house is 35 feet long and the driveway in front of the red house is 7 yards, 9 feet long. Which house has the long driveway and by how much? *

Brown house driveway; larger by 30 feet
Red house driveway; larger by 7 feet
Brown house driveway; larger by 5 feet
They are both equal.

Answers

Answer:

Brown house driveway; larger by 5 feet

Step-by-step explanation:

Lets convert yds to ft

We know 3 ft = 1yd

3*7 = 21

so 7yds = 21 ft

Add the 9 ft

7yds 9ft = 21+9 = 30 ft

The house with the 35 ft driveway is longer by (35-30)  or 5 ft

The vertices of a quadrilateral are M(-4,2), N(6,2), P(6, -4), and Q(-4,-4). graph the quadrilateral. Then find the perimeter and area.

im timed and need help please THIS IS MY LAST EXAM

Answers

Answer:

P=32

A=60

Step-by-step explanation:

If you ever need to graph something quickly I recommend using Desmos (it's an online graphing calculator).

The sides end up looking like this: [tex]l=10, w=6[/tex]

Perimeter is [tex]2l+2w=2(10)+2(6)=20+12=32[/tex]

Area is [tex](10)(6)=60[/tex]

good luck!

6 to the power of 3 +7 times 4

Answers

Answer:

892

Step-by-step explanation:

Find the volume of the prism shown below if the height is 3 inches

Answers

How am I supposed to be able to answer a question without the info

Answer:

Find the volume of the prism shown below if the height is 3 inches.

Step-by-step explanation:

f a triangle has a side length of 10, 12 and 15 units respectively, what type of triangle is it acute right obtuse or no solution

Answers

Answer:

Acute.

Step-by-step explanation:

Using the Triangle Inequality Theorem you know that the sum of the lengths of two sides of a triangle are greater than the length of the third side.

Using this we can narrow it down that this DOES have a solution, since 10+12>15.

Now, we can determine if this triangle is a right triangle using the Pythagorean Theorem. C is the longest length.

If c^2= a^2+b^2, then it is a right triangle.

If c^2< a^2+b^2 then it is an acute triangle.

If c^2>a^2+b^2 then it is an obtuse triangle.

We can now substitute. (A and B are interchangeable, but C is the longest length.

A=10

B=12

C=15

A^2=100

B^2=144

C^2=255

We can now figure out that this triangle is acute because A^2+ B^2 (244) < C^2 (255).

Hope this helps!

                                         


How do you describe the translation (x, y) → (x + 3, y - 7) in words?

Answers

Answer:

You move right 3, and down 7

The design for a playground is represented on the coordinate ​plane below, where the units are in yards.

​A fence will be built ​around the perimeter of the entire playground.

​How many yards ​of fencing will be needed to build the fence?

Answers

Answer:

The perimeter of the field is 21 yards

Step-by-step explanation:

See attachment 1 for the coordinates plane.

The question is best solved using an attachment.

To calculate the perimeter of the fence, we simply add the sides of the rectangle.

Attachment 2 is a labelled diagram of attachment 1.

From 2, we have that

Perimeter = A + B + C + D + E + F

Where A to F represent the length of each sides of the fence

From coordinates geometry,

A = 5

B = 4

C = 6½

D = 1½

E = 1½

F = 2½

So,

Perimeter = 5 + 4 + 6½ + 1½ + 1½ + 2½

Perimeter = 21

Hence, the perimeter of the field is 21 yards

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