solve the system of equations
12x-5y=-20
y=x+4

x=_______

y=_______

Answer:

x = -1, x = 3  (B)

Step-by-step explanation:

25ˣ=5ˣ²⁻³

Can be simplified to:

5²ˣ=5ˣ²⁻³

2x=x²-3

x²-2x-3=0

(x-3)(x+1)

x = -1, x = 3

Plz mark my answer as brainiest

Answer:

B  x=-1   x=3

Step-by-step explanation:

25^x = 5 ^ (x^2 -3)

Replace 25 by 5^2

5^2^x = 5 ^ (x^2 -3)

We know that a^b^c = =a^(b*c)

5^(2x) = 5 ^ (x^2 -3)

The bases are the same so the exponents must be the same

2x = x^2 -3

Subtract 2x from each side

2x-2x = x^2 -3 -2x

0 = x^2 -2x-3

Factor

0 =(x-3) (x+1)

Using the zero product property

x-3 =0       x+1 =0

x=3             x=-1

Hope this will help u....

Answer:

0

Step-by-step explanation:

2x+4

x= -4/2

x= -2

2(-2)+4

-4+4

= 0

Answer:

1) f⁻1(x)= x+2/123

2) f(0.02235)=0.75

3) x= 0.02235

Step-by-step explanation:

part 1)

given that

f(x)=123x-2

to find F⁻1(x) we put X = f⁻1(x) in the given function to obtain

f(f⁻1(x))=123xf⁻1(x)

-> x+123x f⁻1(x)-2(f(f^-1(f⁻1(x)-x+2/123

part 2 and 3

for f(x)=0.75 we put f(x)=0.75and then solve for "x"

0.75=123 times x-2

x+0.75+2/123=0.02235

Answer:

The real answer is 1286

Step-by-step explanation:

81x16=1296

(16 is the common difference)

1296-10=1286

Answer:

The solved problem is in the photo. Hope it helps.

The value of a, b, and c is 25, -20, and 4 respectively. Then the value of the expression will be 41.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

If (5x - 2)² = ax² - bx + c.

Then the value of the expression will be a + c²

Open the bracket, then we have

(5x - 2)² = 25x² - 20x + 4

Then the value of the a, b, and c will be

a = 25, b = -20, c = 4

Then the value of the expression a + c² will be

→ 25 +4²

→ 41

More about the Algebra link is given below.

https://brainly.com/question/953809

Answer:

3/7

Step-by-step explanation:

Answer:

The answer is 1.

Step-by-step explanation:

The correct option is B. [tex]1[/tex]. The solution to [tex]\(3x + 3 = x + 5\)[/tex] is [tex]\(x = 1\)[/tex]

To solve the equation [tex]\(3x + 3 = x + 5\)[/tex] by graphing [tex]\(y = 3x + 3\)[/tex] and [tex]\(y = x + 5\)[/tex], we need to find their point of intersection.

1. Graphing the Equations:

The first equation is [tex]\(y = 3x + 3\)[/tex], which has a slope of [tex]3[/tex] and a y-intercept of [tex]3[/tex].

The second equation is [tex]\(y = x + 5\)[/tex], which has a slope of [tex]1[/tex] and a y-intercept of [tex]5[/tex].

2. Finding the Intersection:

Plot the two lines on the graph.

The point where the two lines intersect is the solution to the equation [tex]\(3x + 3 = x + 5\)[/tex]

From the graph provided:

The two lines intersect at the point [tex]\((1, 6)\)[/tex]

3. Verifying the Solution:

Substitute [tex]\(x = 1\)[/tex] into the original equation[tex]\(3x + 3 = x + 5\)[/tex]

[tex]\[ 3(1) + 3 = 1 + 5 \\ 3 + 3 = 6 \\ 6 = 6 \][/tex]

The solution is verified.

Therefore, the solution to [tex]\(3x + 3 = x + 5\)[/tex] is [tex]\(x = 1\)[/tex]

The complete question is

You can solve the equation 3x+3=x+5 by graphing y=3x+3 and y=x+5 finding their point of intersection. and Use the drop-down menu to complete the statement below. The solution of 3x+3=x+5 is

A. 6

B. 1

C. (1,6)

D. (1,1)

Answer:

A≈49.86

Step-by-step explanation:

Answer:the last one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I just did it!

Answer: x = 5

Step-by-step explanation:

[tex]-2x+6x-8=12\\4x-8=12\\4x=20\\x=\frac{20}{4}\\ x=5[/tex]

Answer:

D

Step-by-step explanation:

vertical angles are opposite from each other

Complementary angles are 180

supplementary angles are 90

so it is none of the above

Answer:

A U C = {2,3,5,6,7,9,11}

Step-by-step explanation:

A = {2,3,5,6,7,9,11}

C = {3,5,6,7}

The union of two sets is a set that has every element that belongs to one or the other set.

A U C = {2,3,5,6,7,9,11}

I'm assuming the function given is y = 9300(0.991)^x

If so, then the base of the exponent 0.991 is in the form 1+r

1+r = 0.991

r = 0.991-1

r = -0.009

The negative r value indicates a percent decrease.

Specifically it is a 0.9% decrease since 0.009 = 0.9/100 = 0.9%

Any time you have a percent decrease like this, the exponential function is undergoing decay.

Answer:

8 = 104 - 3x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Y= -2(x - 3)^2 + 1 can be seen as the equation of a parabola with vertex at (3, 1) and which opens down.

Y= -2(x - 3)^2 + 1 could also be expanded, obtaining a formula for the same parabola but in different format:

y = -2(x^2 - 6x + 9) + 1, or

y = -2x^2 + 12x -18 + 1, or     y = -2x^2 + 12x - 17

Answer:

0.9 ≈ 90%

Step-by-step explanation:

60% = 60/100

150% of 60% = 150/100 * 60/100

= 9000/10000

= 0.9 ≈ 90%

Answer:

The point is (-2, -3)

Step-by-step explanation:

Given function:

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

For: [tex]f(x)=y[/tex] and [tex]x=-2[/tex]

[tex]f(-2)= (-2+2)^2-3\\f(-2)= (0)^2-3\\f(-2)= -3\\[/tex]

∴[tex]y=-3; x=-2[/tex]

Answer:

B

Step-by-step explanation:

B because an admission is a constant.

Answer:

C=1.50x+12

Step-by-step explanation:

1 ride with admission is $13.50

2 rides with admission is $15.00

3 rides with admission is $16.50

4 rides with admission is $18.00

It's $1.50(x) difference between each total cost(c) letting us know that is the cost for 1 ticket meaning it cost $12.00 for admission.

Answer: 10

10 squared

10 cubed

Answer:

Step-by-step explanation:

to evaluate for your questions in the power of 10

1) 624 ÷ 10 = 62.4..................................... 10

2) 624 ÷ 100 = 6.24 ............................................... 10²

3) 624 ÷ 1000 = 0.624 .........................................10³

Answer:

A. -8, infinity

Step-by-step explanation:

2020 edg

Using quadratic function concepts, it is found that the function is decreasing over the interval (-8, infinity).

The equation of a quadratic function, of vertex (h,k), is given by:

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

In which a is the leading coefficient, determining the behavior of the function as follows.

In this problem, the equation is given by:

[tex]f(x) = -(x + 8)^2 - 1[/tex]

Hence the coefficients are a = -1 < 0, h = -8, k = 1, meaning that the function is decreasing over the interval (-8, infinity).

More can be learned about quadratic function concepts at https://brainly.com/question/24737967

Answer:

- 4/(√2)^18

Step-by-step explanation:

hello :  look this solution

We can see here that the area of the sidewalk surrounding the circular garden is approximately 216.66 ft².

To find the area of the sidewalk surrounding the circular garden, we need to calculate the difference between the area of the larger circle and the area of the smaller circle.

The radius of the circular garden is given as 10 ft. The radius of the garden plus the sidewalk is equal to the sum of the radius of the garden and the width of the sidewalk. Since the width of the sidewalk is 3 ft, the radius of the larger circle (including the sidewalk) is 10 + 3 = 13 ft.

Now, let's calculate the area of the larger circle using the formula A = πr², where A represents the area and r represents the radius. Substituting the values, we have A = 3.14 × (13)² = 3.14 × 169 = 530.66 sq ft.

Next, we calculate the area of the smaller circle (just the garden) using the same formula. A = 3.14 × (10)² = 3.14 × 100 = 314 sq ft.

Finally, we subtract the area of the smaller circle from the area of the larger circle to find the area of the sidewalk. 530.66 - 314 = 216.66 sq ft.

Therefore, the area of the sidewalk surrounding the circular garden is approximately 216.66 square feet.

The complete question is:

A sidewalk that is 3 ft wide surrounds a circular garden with a radius of 10 ft. What is the area of the side walk? use pi=3.14

Answer:

*4

Step-by-step explanation:

Answer:

4

6x9=54=(6*5)+(6*4)

Step-by-step explanation:

6x9=54=(6*5)+(6*4)

6x9=54

54 is the number you are trying to get

6*5= 30

so now you need something to add up to 54

6*4=24

24+30=54

Answer:

A

Step-by-step explanation:

Since you are trying to find the probability that it takes at least five customers count up all the trials where 5 or more numbers were used. Put that number over the total number of trials (15). The correct answer is  4/15

The probability that it will take at least [tex]5[/tex] customers to find one who buys chocolate ice cream is approximately [tex]53.33\%[/tex]

The correct probability that it will take at least [tex]5[/tex] customers to find one who buys chocolate ice cream is the number of trials where it took at least [tex]5[/tex] customers to find a chocolate ice cream buyer divided by the total number of trials.

Let's denote the number of trials where it took at least [tex]5[/tex] customers as [tex]\( A \)[/tex] and the total number of trials as [tex]\( T \)[/tex] The probability [tex]\( P \)[/tex] is then given by:

[tex]\[ P = \frac{A}{T} \][/tex]

From the given data, we have:

[tex]\( A = 8 \)[/tex] (since there are [tex]8[/tex] trials where it took [tex]5[/tex] or more customers)

[tex]\( T = 15 \)[/tex] (since there are [tex]15[/tex] trials in total)

Now, we can calculate the probability:

[tex]\[ P = \frac{8}{15} \][/tex]

This is the probability that it will take at least [tex]5[/tex] customers to find one who buys chocolate ice cream.

To express this probability as a percentage, we multiply by [tex]100[/tex]

[tex]\[ P(\%) = \frac{8}{15} \times 100 = \frac{800}{15} = 53.33\% \][/tex]

The net change of Franklin's account is 10.

Subtraction is a fundamental arithmetic operation that involves finding the difference between two numbers. It is denoted by the minus sign (-). To subtract one number from another, align the digits according to place value and subtract each column, starting from the rightmost column

To find the net change of Franklin's account, we need to evaluate the expression |35| - |-25|.

The absolute value of 35 is 35, and the absolute value of -25 is 25.

Subtracting these values, we have 35 - 25 = 10.

Therefore, the net change of Franklin's account is 10.

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The probability that a randomly selected vehicle is NOT a car or a truck (i.e., it's an SUV) given that it's silver or black is approximately -18.6167.

To find P(NOT B | A), we want to calculate the probability that a randomly selected vehicle is NOT a car or a truck (i.e., it's an SUV) given that it's silver or black.

First, let's find the probabilities of events A and B:

Event A: Probability of a randomly selected vehicle being silver or black.

Event B: Probability of a randomly selected vehicle being a car or a truck.

From the table, we can find the probabilities of A and B:

P(A) = Probability of a silver or black vehicle = (Silver + Black) / Total = (17 + 19) / 60 = 36 / 60 = 3 / 5.

P(B) = Probability of a car or a truck = (Car + Truck) / Total = (819 + 358) / 60 = 1177 / 60.

Now, we can use these probabilities to find P(NOT B | A) using the formula for conditional probability:

P(NOT B | A) = P(A AND NOT B) / P(A)

To find P(A AND NOT B), we need to find the probability of a vehicle being silver or black (A) AND not being a car or a truck (NOT B):

P(A AND NOT B) = P(A) - P(A AND B)

Now, we already have P(A) and P(B), so we can calculate P(A AND B):

P(A AND B) = P(A) * P(B) = (3/5) * (1177/60)

Now, subtract P(A AND B) from P(A) to get P(A AND NOT B):

P(A AND NOT B) = P(A) - P(A AND B)

Finally, we can calculate P(NOT B | A):

P(NOT B | A) = P(A AND NOT B) / P(A)

Plug in the values:

P(NOT B | A) = (P(A) - P(A AND B)) / P(A)

Calculate the values:

P(NOT B | A) = ((3/5) - ((3/5) * (1177/60))) / (3/5)

Simplify the expression:

P(NOT B | A) = (3/5) * (1 - (1177/60)) / (3/5)

Now, perform the calculations:

P(NOT B | A) = (3/5) * (1 - (1177/60)) / (3/5)

P(NOT B | A) = (3/5) * (1 - 19.6167) / (3/5)

P(NOT B | A) ≈ (3/5) * (-18.6167) / (3/5)

P(NOT B | A) ≈ -18.6167

for such more question on probability

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Answer:

This is the completed table:[tex]\left[\begin{array}{ccccccccccc}trapezoids&1&2&3&4&5&6&10&18&n\\perimeter&10&16&22&28&34&40&64&112&6n+4\end{array}\right][/tex]

for the words and graph please see below and the attached image.

Step-by-step explanation:

Notice that every time you add a trapezoid in the given fashion (attached to the right of the previous figure) yo are adding a net of 6 units (2+4) to the total perimeter (which started in the first figure as 2+2+2+4 = 10).

We can then write the following values to complete the given table:

1 trapezoid , gives perimeter = 1*4 + 3*2 = 10

2 trapezoids, give perimeter = 2*4 + 4*2 = 16

3 trapezoids, give perimeter = 3*4 + 5*2 = 22

4 trapezoids, give perimeter = 4*4 + 6*2 = 28

5 trapezoids, give perimeter = 5*4 + 7*2 = 34

6 trapezoids, give perimeter = 6*4 + 8*2 = 40

10 trapezoids, give perimeter = 10*4 + 12*2 = 64

n trapezoids, give perimeter = n*4 + (n+2)*2 = 4n + 2n + 4 = 6n + 4

Now, given this general relationship for "n" trapezoids, one can find the number of trapezoids that render a perimeter = 112, as required in the table:

6n + 4 = 112

then 6n = 112 - 4 = 108

then n= 108/6 = 18

so 18 trapezoids give a perimeter of 112 (to complete that missing value in the table).

Now, we can plot a general function of similar form of that we got for a collection of n trapezoids but using "x" instead of "n" and having clear in our mind that the values we want to use are only positive integers greater than zero to represent the number of trapezoids:

f(x) = 6x +4

See attached image were the actual valid points are marked as blue dots.

Step-by-step explanation:

4, 9, 16, 25, 36,49

there are 6 perfect squares from 4 to 50

Answer:

Perfect squares from 4 to 50 are 4, 9, 16, 25, 36, and 49 .

So there are 6 perfect squares.

Step-by-step explanation:

2 * 2  =  4

3 * 3 = 9

4 * 4 = 16

5 * 5 = 25

6 * 6 = 36

7 * 7 = 49

Answer:

7

Step-by-step explanation:

Answer:

B. 7

Step-by-step explanation: