Determine the number of real solutions each quadratic equation has.
y = 12x2 - 9x + 4 _____real solution(s)
10x + y = -x2 + 2 _____real solution(s)
4y - 7 = 5x2 - x + 2 + 3y ______ real solution(s)
y = (-x + 4)2 ______real solution(s)

[tex]|\Omega|=18^2=324\\|A|=7\cdot2=14\\\\P(A)=\dfrac{14}{324}=\dfrac{7}{162}\approx0.043(=4.3\%)[/tex]

First, we find the total number of marbles.

We add up the red, blue, and yellow marbles:

The number of red marbles is 7 + 4 which equals to 11.

The number of blue marbles is 5.

The number of yellow marbles is 2.

To find the total number, we add these numbers together: 11 (red) + 5 (blue) + 2 (yellow) = 18. So, the total number of marbles is 18.

Second, we find the probability of each event - that is, picking a red marble and then a yellow marble.

Probability is the number of desired outcomes divided by the total number of possible outcomes.

The probability of picking a red marble, denoted as P(red) is the number of red marbles divided by the total number of marbles. So, P(red) = 11 / 18 which is about 0.611 or 61.1%.

The probability of picking a yellow marble, denoted as P(yellow) is the number of yellow marbles divided by the total number of marbles. So, P(yellow) = 2 / 18 which is about 0.111 or 11.1%.

Finally, we can find the answer to our question: What is the probability that Jon selects a red marble and then a yellow marble?

Because these are independent events (selecting a red marble does not affect the chance of selecting a yellow marble next), we can use the multiplication rule of probability to find the overall probability.

The multiplication rule states that the probability of two independent events both happening is the product of their individual probabilities. So the probability of picking a red marble and then a yellow marble, denoted as P(red and yellow), is P(red) * P(yellow).

P(red and yellow) = P(red) * P(yellow) = 0.611 * 0.111 which results in about 0.0679 or 6.8%.

So, the closest option is about 0.043 or 4.3% which seems to be incorrect as our calculated probability is different. There might be a mistake in the question or the provided options.

The x values are the same for both green dots, so you are looking at a simplified version of the distance formula.

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Since x1 = x2 = 5, the first set of brackets = (5 - 5) = 0

d = sqrt( y2 - y1)^2 )

d = y2 - y1

y2 = 5

y1 = - 1

d = 5 - - 1

d = 6    Answer

well, I really can't really understand the way you asked the question, But, If it helps I can give you the entire sequence all the way to 82.

The sequence is,

2, 12, 22, 32, 42, 52, 62, 72 , 82, ect...,

For this case we have:

The equation in vertex form of the parabola is given by:

[tex]y = a (x-h) ^ 2 + k\\[/tex]

The vertex is (h, k) and is given by the highest or lowest point of the parabola, in this case it is observed that it is [tex](h, k) = (- 3, -1)\\[/tex]

Thus, the equation is given by:

[tex]y = a (x - (- 3)) ^ 2 + (- 1)\\\\y = a (x + 3) ^ 2-1\\[/tex]

We look for the value of a, substituting a point of the parabola in the equation in the form of vertex, we will take the point [tex](x, y) = (0,8)\\[/tex]

Substituting we have:

[tex]8 = a (0 - (- 3)) ^ 2 + (- 1)\\\\8 = a (0 + 3) ^ 2-1\\\\8 = a (3) ^ 2-1\\[/tex]

[tex]8 = 9a-1\\\\8 + 1 = 9a\\\\9 = 9a\\[/tex]

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

Thus, the equation of the parabola is given by:

[tex]y = (x + 3) ^ 2-1\\[/tex]

Answer:

[tex]y = (x + 3) ^ 2-1[/tex]

Answer:

y = (x + 3)2 - 1

Step-by-step explanation:

Answer:

If you are asking about the difference between the two, the difference is $5,805.80

Step-by-step explanation:

Hey there!!

Given equation :

17g - 2g

Let;s first look at something which is common in both the terms.

Yes, the alphabet which is common is the ' g '.

Now, let's apply distributive property.

... 17g - 2g

... g ( 17 - 2 )

Hence, the appropriate answer would be ' D '.

Hope my answer helps!

The rate of speed would be 74 mph

For this case we have the following equation:

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

If we multiply both sides of the equation by 3 we get:

[tex]2x-1 = 6 (x + 2)[/tex] ---> Multiplication Property of Equality

Applying the distributive property we have:

[tex]2x-1 = 6x + 12[/tex] ---> Distributive Property

Adding 1 on both sides of equality we have:

[tex]2x-1 + 1 = 6x + 12 + 1\\[/tex]

[tex]2x = 6x + 13[/tex] ---> Addition Property of Equality

Subtracting [tex]6x[/tex] on both sides we have:

[tex]-6x + 2x = 6x-6x + 13\\[/tex]

[tex]-4x = 13[/tex] ---> Subtraction Property of Equality

Finally, dividing by -4 on both sides we have:

[tex]\frac{-4x}{-4}= \frac{13}{-4}\\[/tex]

[tex]x = -\frac{13}{4}[/tex]---> Division Property of Equality

Answer:

12 inches

Step-by-step explanation:

volume = length * width * height

volume = (length * width) * height

volume = (area of base) * height

height = volume/(area of base)

height = (240 in^3)/(20 in^2) = 12 in

Answer the box was 12 in bc 20x240divided by 4 =12

Answer: 11 party bags with 1 sticker leftover

Each bag contains 4 bubbles, 8 stickers, and 5 pencils.

Step-by-step explanation:

Find the GCF of 44 (bubbles), 89 (stickers), and 55 (pencils)

44: 2 x 2 x 11

89: prime so choose 88 with 1 leftover

88: 2 x 2 x 2 x 11

55: 5 x 11

GCF = 11

Disregard the GCF to see how many of that item should go in each bag.

Bubbles: 2 x 2

Stickers: 2 x 2 x 2

Pencils: 5

The answer is B I hope I helped

Answer:

the answer is B.28.7 hope i helped you learn something new

Step-by-step explanatio

The slope-intercept form:

y = mx + b

m - slope

b - y-intercept

We have y = 2/3 x - 2

y-intercept = -2

Only the one graph has that y-intercept (look at the picture).

y = [tex]\frac{2}{3}x[/tex] - 2 means the line will intercept the y-axis at -2 and have a slope (rise over run) of 2 over 3.

Answer: C

The length of toy jeep = [tex]12 \frac{1}{2}[/tex]

= [tex]\frac{25}{2}[/tex] inches

The length of actual Jeep = [tex]18 \frac{3}{4}[/tex] feet

We have to find the ratio length of a toy jeep to the length of actual jeep.

Firstly, we will make the dimensions of the both the given lengths same.

As 1 foot = 12 inches

[tex]18 \frac{3}{4}[/tex] feet = [tex]18 \frac{3}{4} \times 12[/tex] inches

=[tex]\frac{75 \times 12}{4}[/tex]

= 225 inches

So, the ratio length of toy jeep to actual jeep

= [tex]\frac{25}{2} \div 225[/tex]

= [tex]\frac{25}{2} \times \frac{1}{225}[/tex]

= [tex]\frac{1}{18}[/tex]

= 1:18

So, the ratio length of a toy Jeep to the length of a actual Jeep is 1:18.

Length of toy jeep = [tex]12\frac{1}{2}=\frac{25}{2}[/tex] inches

Length of actual jeep = [tex]18\frac{3}{4}=\frac{75}{4}[/tex] feet

Now to find the ratio between the two, we must convert both of them in same units. So, lets convert the actual jeep length in feet to inches.

1 feet = 12 inches.

So, [tex]\frac{75}{4}[/tex] feet = [tex]\frac{75}{4}\times12=225[/tex] inches

Ratio of length of toy jeep to actual jeep will be =

[tex]\frac{\frac{25}{2}}{225}[/tex]

[tex]\frac{25}{2\times225}[/tex]

[tex]\frac{25}{450}[/tex] = [tex]\frac{5}{90}[/tex]

ratio is : [tex]\frac{1}{18}[/tex] or 1:18

Answer: all real #s except x=0

Step-by-step explanation:

Edge 2022

Answer:

20 seconds

Step-by-step explanation:

Your friend starts 10 meters in front of the starting line.

You start from the starting line.

You run at 6 meters/ second.

Your friend runs at 5.5 meters/second.

You and your friend will be at the same distance from the starting line only when you are able to catch your friend.

The relative speed between you two is the difference in your speed and your friend's speed that is:

[tex]6-5.5=0.5m/s[/tex]

So to cover 10 meters of separation at the speed of 0.5 meter/second it will take:

[tex]t=\frac{10}{0.5}= \frac{100}{5}=20s[/tex]

So it will take 20 seconds for you and your friend to be at the same distance from the starting line.  

Answer:

20 seconds is correct.

Step-by-step explanation:

Answer:

Step-by-step explanation:

An administrative court is specialize in administrative laws, its concern is mainly about public powers. Basically, the role of these type of courts is to ensure that officials are doing their job according to the law. Some of the issues that matters to an administrative courts are: taxation, dispensation of monetary benefits, environmental licenses, building inspection, child custody, immigration decisions, and more.

So, in this case we are talking about social security, someone is not receiving the benefits from it, so this means that a public institution is not working well, that's an administrative court jurisdiction, because it's in the public sector.

Answer:

1/2 more then day 2.

Step-by-step explanation:

The difference in the amount of field plowed on day 1 compared to day 2 is 1/4, assuming day 1 was ½ and day 2 was ¼ of the field.

To calculate how much more of the field was plowed on day 1 than on day 2, we need to subtract the fractions that represent the part of the field plowed on each day. However, you did not specify the fractions, so I will assume you meant to say ½ of the field was plowed on day 1 and ¼ of the field on day 2. Thus, the difference can be calculated as follows:

Therefore, you plowed 1/4 more of the field on day 1 than you did on day 2.

ANSWER

The correct answer is [tex]m=45,n=12[/tex].

EXPLANATION

We were given the matrix equation;

[tex]\left[\begin{array}{cc}n-1&6\\-19&m+3\end{array}\right] +\left[\begin{array}{cc}-1&0\\16&-8\end{array}\right] =\left[\begin{array}{cc}10&6\\-3&40\end{array}\right][/tex].

We must first simplify the Left Hand Side of the equation by adding corresponding entries.

[tex]\left[\begin{array}{cc}n-1+-1&6+0\\-19+16&m+3-8\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right][/tex].

That is;

[tex]\left[\begin{array}{cc}n-2&6\\-3&m-5\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right][/tex].

Since the two matrices are equal, their corresponding entries are also equal. we equate corresponding entries and solve for m and n.

This implies that;

[tex]n-2=10[/tex]

We got this equation from row one-column one entry of both matrices.

[tex]n=12[/tex]

Also, the row three-column three entries of both matrices will give us the equation;

[tex]m-5=40[/tex]

[tex]m=45[/tex]

Hence the correct answer is [tex]m=45,n=12[/tex].

The correct option is option 2

Answer:

B. △ABC is congruent to △A′B′C′ because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions.

Step-by-step explanation:

I just took the test, good luck! Have a wonderful day! :)

Transformation involves changing the position of a shape.

The correct statement is: (b) △ABC is congruent to △A′B′C′ because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions.

The transformation rule is given as:

[tex]\mathbf{(x,y) \to (-x,-y)}[/tex], then:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

Rotation and reflection are both rigid transformation.

Hence, the correct option is (b):

Read more about rotation and reflection at:

https://brainly.com/question/15577335

Remember to follow PEMDAS (Parenthesis, Exponents (and roots), Multiplication, Division, Addition, Subtraction)

First, solve the parenthesis

30 + (6/3) + (3 + 4)

30 + 2 + 7

Next, simplify. Combine like terms

30 + 2 + 7 = 39

39 is your answer

~Rise Above the Ordinary

Hello there!

Hint⇒⇒⇒⇒⇒⇒ You had to used PEMDAS.

P-Parenthesis

E-Exponents

M-Multiply

D-Divide

A-Add

S-Subtract

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓

[tex]30+(6/3)+(3+4)[/tex]

First you had to calculate with parenthesis first.

[tex](6/3)=2[/tex]

[tex]30+2+(3+4)[/tex]

Then you can calculate with parenthesis again.

[tex](3+4)=7[/tex]

[tex]30+2+7[/tex]

You had to add and subtract from left to right.

[tex]30+2+7=39[/tex]

[tex]=39[/tex]

Answer⇒⇒⇒⇒39

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Every year, Sam will have 103% of the amount from the previous year.

[tex]p\%=\dfrac{p}{100}\\\\103\%=\dfrac{103}{100}=1.03[/tex]

After the first year:

[tex]1.03\cdot\$4,500[/tex]

After the second year:

[tex]1.03\cdot1.03\cdot\$4,500=\$4,500(1.03)^2[/tex]

After the t-th year:

[tex]\$4,500(1.03)^t[/tex]

Therefore we have the inequality:

[tex]\$4,500(1.03)^t\leq\$7,020\ \ \ \ |\text{divide both sides by \$4,500}\\\\(1.03)^t\leq1.56\\\\(1.03)^{15}\approx15.56\\\\\text{therefore}\ t\leq15[/tex]

A real-valued univariate function f=f(x) has a jump discontinuity at a point [tex]x_0[/tex] in its domain provided that

[tex]\lim \limits_{x\to x_0^-}f(x)=A_1[/tex]

and

[tex]\lim \limits_{x\to x_0^+}f(x)=A_2[/tex]

both exist and that [tex]A_1\neq A_2.[/tex]

As you can see at x=-3,

[tex]\lim \limits_{x\to -3^-}f(x)=6,[/tex] [tex]\lim \limits_{x\to -3^+}f(x)=9[/tex] and [tex]6\neq 9.[/tex]

Therefore, there is a jump discontinuity at x=-3.

Answer: correct choice is A.

This is the same concept as the previous question.  The symbol (<) means it is a dashed line and shaded to the left.

Answer: B

Answer:  Five cats ate 1 and a quarter of cat food.

Step-by-step explanation

Given:-

Cat food ate by one cat = 1/4 cup

Cat food ate by five cats =[tex]5\times \frac{1}{4} \text{ [Multiplying both sides with 5 ]}\\\\=\frac{5}{4}=\frac{4+1}{4}=\frac{4}{4}+\frac{1}{4}=1+\frac{1}{4}[/tex]=1 and 1/4 cup.

Therefore cat food ate by five cats = 1 and a quarter of cup.[ here a quarter =1/4]

The steps are as follows:

1. Put the compass at one point on the vertex of the angle and draw an arc that intersects both sides of the angle.

2. Now, draw an arc from each of these points of intersection, in such a way that the arcs intersect in the interior of the angle. Keep the compass open in the same amount throughout this step.

3. Now, draw a ray/line from the vertex of the angle to the intersection point of the two arcs drawn during step 2.

How many arcs would you make? We will draw 3 arcs.

[tex]\left[\begin{array}{ccc}2&4\\3&-9\end{array}\right]\\\\\det\left[\begin{array}{ccc}2&4\\3&-9\end{array}\right]=(2)(-9)-(4)(3)=-18-12=-30[/tex]

Answer:

-30 will be the determinant.

Step-by-step explanation:

We have to find the system determinant of the given matrix

[tex]\begin{bmatrix}2 & 4\\ 3 & -9\end{bmatrix}[/tex]

Determinant will be = 2(-9) - (4 × 3)

                                 = -18 -12

                                = -30

Therefore, as per given options by you in the comments.

option A is the answer.

C Is your awnser! have a good day Pretty sure its C because theres only 1 line