2.
Determine the discriminant and identify the number and type of solutions to the equation
4x2 + 12x = -9,
A 288; 2 real solutions
B. 0; 1 real solution
C. 108; 2 real solutions
D. 92; 2 imaginary solutions

Answer:

no

Step-by-step explanation:

8 ft in 15 sec

16 ft in 40 sec

8 is obviuosly half of 16, so to make it proportional it would have to be 16 ft 30secs

Answer:

y = 2/3x + 1.5

Step-by-step explanation:

The Formula for that is

y = mx + b

m = slope

b =  y -intercept

so to find the slope I would do y/x or rise over run

So your slope is 2/3 ( it goes up 2 and right 3 times)

Since the line is going up and not down, it is a positive slope

y = 2/3x + b

we need to find where the line crosses the  vertical / y-axis and it's at the point.... (0,1.5)

y = 2/3x + 1.5

Hope this helped a little!

Answer:

7√x - 5

Step-by-step explanation:

Let the number be x

The product of 7 and  the square root of a number is expressed as;

7 * √x

= 7√x

five less than the product of 7 and  the square root of a number will be expressed as;

7√x - 5

Hence the required expression is 7√x - 5

Step-by-step explanation:

10% of 75 is the total kg he lost this month

So 10/100 x 75 = 7.5

So Diego lost 7.5 kg this month

Answer:

They have 425 candy bars ready to sell.

Step-by-step explanation:

Let,

x be the number of candy bars ready to sell

y be the number of chips ready to sell

According to given statement;

x+y=575     Eqn 1

x+0.5y= 500     Eqn 2

Subtracting Eqn 2 from Eqn 1

(x+y)-(x+0.5y)=575-500

x+y-x-0.5y=75

0.5y = 75

Dividing both sides by 0.5

[tex]\frac{0.5y}{0.5}=\frac{75}{0.5}\\y=150[/tex]

Putting y=150 in Eqn 1

x+150 = 575

x = 575-150

x = 425

Hence,

They have 425 candy bars ready to sell.

Answer:

27

Step-by-step explanation

have a great day

Answer:

3*9=27

Step-by-step explanation:

The thing that is true about 3*9 is that it is also equal to 9*3.

Hope this helped!! :)

Answer:

she puts 20 in the basket and she eats  8

Step-by-step explanation:

Step one:

given data

we are told that for every 5 strawberries she puts in the basket, she eats 2

if she picks 28

then she will put 20 in the basket and eat 8

the first 5 she puts in the basket, she ears 2

the second 5 she eats 2, total is 7

the third 5, she eats 2, total is 7

the fourth 5, she eats 2, total is 7

hence she puts 5+5+5+5= 20 in the baskets

and eats 2+2+2+2= 8

Answers:

========================================================

Explanations:

Part (a)

The highest point is when y = 0 and the lowest point is when y = -4. The vertical distance between the peak and valley is 4 units, which cuts in half to 2. This is the amplitude. It's the vertical distance from the center to either the peak or valley.

Note: Amplitude is always positive as it measures a distance.

---------------------

Part (b)

For x > 0, the first valley or lowest point occurs between 0 and pi/4. It appears to be the midpoint of the two values. So that would be (0+pi/4)/2 = pi/8.

The next valley occurs between pi and 5pi/4. Compute the midpoint to get (pi+5pi/4)/2 = (4pi/4+5pi/4)/2 = (9pi/4)/2 = 9pi/8

So we have the graph go from one valley x = pi/8 to the next valley over x = 9pi/8. This is a distance of pi units because 9pi/8-pi/8 = 8pi/8 = pi

The graph repeats itself every pi units, so the period is pi.

---------------------

Part (c)

The midline is normally through y = 0, aka the x axis. However, the graph shows the midline is through y = -2. This means the graph has been shifted down 2 units.

---------------------

Part (d)

This will depend on whether you use sine or cosine. This is entirely because cosine is a phase-shifted version of sine, and vice versa. I'll go with sine.

The parent sine function y = sin(x) goes through the origin (0,0)

However, as part (c) mentioned, we shifted the graph 2 units down. So we have y = sin(x)-2. But plugging x = 0 into this leads to the point (0,-2)

This doesn't match what the graph says. The graph shows the point (3pi/8, -2) on the red curve. The x coordinate 3pi/8 is the midpoint of pi/4 and pi/2

This must mean we need to shift the sine graph 3pi/8 units to the right.

---------------------

Part (e)

Start at the lowest point when x = pi/8. If you start the cycle here, then it ends when x = 9pi/8. See part (b).

So far we've completed one cycle. If we start at x = 9pi/8, then the next valley or lowest point is slightly beyond or to the right of x = 2pi. This means we run out of room and we haven't completed a full cycle.

Overall, one full cycle is between 0 and 2pi.

---------------------

Part (f)

Again I'm going to use sine instead of cosine. Refer back to part (d).

The general sine curve equation is

y = A*sin(B(x-C))+D

where

In this case, we found that

So,

y = A*sin(B(x-C))+D

will update to

y = 2*sin(2(x-3pi/8))-2

which is one way to express the equation of the red curve. Optionally you can distribute the 2 through to (x-3pi/8).

Answer:

C.

Step-by-step explanation:

Answer:

B: 48π cubic centimeters

Step-by-step explanation:

A: 216π cubic centimeters

B: 48π cubic centimeters

C: 144π cubic centimeters

D: 192π cubic centimeters

Volume of the paper cone cup = 1/3πr²h

Diameter = 8 cm

Radius, r = diameter / 2

= 8 cm / 2

= 4 cm

Height, h = 9 cm

Volume of the paper cone cup = 1/3πr²h

= 1/3 × π × 4² × 9

= 1/3 × π × 16 × 9

= (1 × π × 16 × 9) / 3

= 144π / 3

= 48π cm³

Volume of the paper cone cup = 48π cm³

Answer:

b. – 0.4(x + 1.6) = 1.6

Step-by-step explanation:

The equation with negative solution is -

- 0.4(x + 1.6) = 1.6

Given are the equations as shown in the question.

The equation with the negative solution are -

- 0.4(x + 1.6) = 1.6

- 0.4x - 0.64 = 1.6

- 0.4x = 1.6 + 0.64

- 0.4x = 2.24

x = - (2.24/0.4)

Therefore, the equation with negative solution is -

- 0.4(x + 1.6) = 1.6.

To solve more questions on algebraic expressions, visit the link below-

brainly.com/question/1041084

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Answer:

Layout A needs 4.8 m more fencing

Step-by-step explanation:

Khan academy answer

Answer:

18 feet long

Step-by-step explanation:

252 ÷ 14 = 18

:)

Answer:

7 Weeks

Step-by-step explanation:

Each week is 105 because 1500*.07=105

Then through the process of elimination I found it would take 7 weeks.

Answer:

[tex]\huge\boxed{11.25}[/tex]

Step-by-step explanation:

When finding the average of a set of numbers, we

Let's represent this with a formula, s being the sum of all numbers, n being the total number of numbers.

[tex]\frac{s}{n}[/tex]

Since we already know the sum and we know how many numbers there are (8), we can substitute inside our expression [tex]\frac{s}{n}[/tex] to find the average.

Therefore, the average of all these numbers is 11.25.

Hope this helped!

Answer:

i think... 3) 26

Step-by-step explanation:

if its wrong, dont mark me brainliest =/

Answer:

320 degrees.

Step-by-step explanation:

Answer:

10*10*10

Step-by-step explanation:

Given the expression 10^3

We are to write this as a series of products as as shown;

10^3 means the product of 10 in 3 places. Multiplying 10 in 3 places will give the required series of product.

10^3 = 10 * 10 * 10

Hence the series of product of 10^3 is 10*10*10

Answer:

A. Angle B is congruent to angle M

C. Triangle ABC was rotated and dilated by a scale factor between 0 and 1

E. Angle C is congruent to angle L

How Do I Know?

Because I literally just did it just now and that's what it said that the answers were. January 9th, 2021- Edge :)

A. Angle B is congruent to angle M

C. Triangle ABC was rotated and dilated by a scale factor between 0 and 1

E. Angle C is congruent to angle L

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Given:

To prove that triangle ABC is similar to triangle NML.

The following points are considered:

∠B ≅ ∠M

△ABC was rotated and dilated by a scale factor between 0 and 1.

∠C ≅ ∠L.

Learn more about similarity here:

https://brainly.com/question/25882965

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Answer:

[tex]1\frac{7}{20}[/tex]

Step-by-step explanation:

Step one

Given data

On  Monday, Jesse drank 3/4 of liter of water before jogging

and drank 3/5 of liter after jogging

In all, Jesse drank 3/4 and 3/5 liters of water

= 3/4+3/5

the lcm is 20

=15+12/20

=27/20

in mixed numbers(i.e a whole and a fraction together we have) we have

[tex]1\frac{7}{20}[/tex]

Answer:

? = -36

Step-by-step explanation:

When you raise an exponent to an exponent, the resulting power is a product of the two exponents.

For this problem, you can solve for the missing value by writing:

[tex]?*1/3=-12[/tex]

Divide both sides by 1/3 to isolate the missing value.

[tex]?=\frac{-12}{1/3}[/tex]

Solve for ?.

[tex]?=-36[/tex]

Answer:

Yes, π/12 is a solution.

Step-by-step explanation:

Calculator --> sin(π12)=sin15∘=0.26 . √2−√32=√0.272=0.522=0.26 .  Uhmm... i dont rlly know how to explain it.. its complicated for me to word it without making it non confusing.

The statement 'The value [tex]\frac{\pi}{12}[/tex]  is a solution for the equation [tex]4~cos^2(4x)-3=0[/tex] ' is True.

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

We have been given an equation [tex]4~cos^2(4x)-3=0[/tex]

We need to check whether [tex]\frac{\pi}{12}[/tex]  is a solution for the equation.

Substitute [tex]x=\frac{\pi}{12}[/tex] in equation [tex]4~cos^2(4x)-3=0[/tex]

[tex]\Rightarrow 4~cos^2(4\frac{\pi}{12} )-3=0\\\\\Rightarrow 4~cos^2(\frac{\pi}{3} )-3=0\\\\\Rightarrow 4~cos^2(\frac{\sqrt{3} }{4} )-3=0\\\\\Rightarrow 4~\frac{3}{4}-3=0\\\\ \Rightarrow 3-3=0\\\\\Rightarrow 0=0[/tex]

This means,  [tex]\frac{\pi}{12}[/tex]  is a solution of the equation [tex]4~cos^2(4x)-3=0[/tex]

Therefore, the statement 'The value [tex]\frac{\pi}{12}[/tex]  is a solution for the equation [tex]4~cos^2(4x)-3=0[/tex] ' is True.

Learn more about the equation here:

brainly.com/question/649785

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Answer:

(2,2)=x1,y1

(4,b)=x,y

(6,10)=x2,y2

using midpoint formula,

y=(y1+y2)/2

y=(2+10+)/2

y=6

which makes (4,b)=(4,6)

again,

(4,6)=x1,y1

(6,10)=x2,y2

(a,8)=x,y

using midpoint formulax=(x1+x2)/2

x=(4+6)/2

x=5

which makes (a,8)=(5,8)

[tex]1\frac{1}{9}[/tex]

Answer: 7/8

10-2/12-4= 7/8

Step-by-step explanation:

Answer:

the answer might be number 3

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

Solving for x:

Answer:

Y=-1+2x/3

Step-by-step explanation:

Move all the terms that don't contain y to the right side and solve. Hope this helps!