I need help with this.

Answer: 7

Step-by-step explanation:

5(3x – 2)=  15x-10

15x-10+11 = 15x+1

15x + 1 = 106     -1

15x = 105     /15

x = 7

Answer:

You would travel 200 miles before running out of gas.

Step-by-step explanation:

1:20 so 10:200 each time you multiple by 10

The quadratic equation given in the question is

Step 1: Keep x terms on the left and move the constant to the right side by subtracting 9 on both sides

Step 2: Take half of the coefficient of the x term and square it

The coefficient of the x term is 8

Step 3: Add 16 to both sides in the equation in step 1

Step 4: Re-write the perfect squares on the left

Hence,

We will have (x+4)²=7

To solve for the value of x, we will equate to zeros and make x the subject of the formula

Step 5: Add 7 to both sides

Step 6: Square root both sides

Step 7: Isolate the x on the left side and solve for x by subtracting 4 from both sides

Therefore,

The value of x is

x = -4+√7 , -4-√7

Answer:

Step-by-step explanation:

2y+8x=0

Converting to y-intercept form:

2y = -8x

y = -4x

So, the slope is -4 and the y-intercept is at (0,0).

Відповідь B, вибачте, якщо я помиляюся

Answer:

te mando un feo vida okay

Answer:

m = 48

Step-by-step explanation:

m/4-3 = 9

lets add 3 on both side

m/4 = 12

now lets multiply both sides by 4

m = 48

Answer: m=48

Step-by-step explanation:

48/4=12

12-3=9

9=9

Therefore m=48 as it makes the equation true.

This firm expects to spend on the new word processor expense of  $1855 from the given probability distribution.

What is a probability distribution?

Given that the number of word processors, x, purchased each year has the probability distribution.

E(X)=1* (3/10)+2*(2/5)+3*(1/5)=1.7

E(X^2)=1^2(3/10)+2^2(2/5)+3^2(1/5)=3.7

Expense=E(1200x-50x^2)=E(1200x)+E(-50x^2)=1200E(x)-50E(x^2)

So

Expense=1200*1.7-50*3.7=1855

This firm expects to spend on the new word processor expense of  $1855 from the given probability distribution.

Complete question: A large industrial firm purchases several new word processors at the end of each year. The exact number of word processors purchased depends on the frequency of the number of repairs in the previous year. Suppose that the number of word processors x that are purchased each year has the following probability distribution:

x 0 1 2 3

f(x) 1/10 3/10 2/5 1/5

The cost of the desired model is $1200 per processor and a discount of 50 X2 dollars is credited towards any purchase. There is also a fixed cost of $600 regardless of the number of processors purchased. How much can this firm expect to spend on new word processors?

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Answer:

4

Explanation:

From the graph, the roots of the polynomial are -2, 1, and 1.

Therefore, the polynomial P(x) is defined below:

When P(x) is divided by x+1, the remainder will be the value of x when x+1=0

When x+1=0

Therefore:

The remainder when P (x) is divided by (x + 1) is 4.

Answer: x=9

Step-by-step explanation:

The exact difference is 0.022916

Given that the cube root of 64 is 4

We need to find how much larger is the cube root of 65.1 using the linear approximation.

Linear approximations:

They are ways to define a line tangent to a curve. At a particular range near the tangent point, the line can serve as an approximation for the function. However, linear approximations are determined through a combination of differentiation.

Here, when the tangent point is defined at x=a

then the linear approximation of a function is defined as f(x) ≈ f(a)+f′(a)(x−a)

Consider a = 64  f(x) = x^(1/3)

f'(x) = 1/3 x ^(-2/3)

So linear approximation is   f(x) = 4 + 1/3 (64)^(-2/3) * (x-64)

x = 65.1

f(65.1) = 4 + 1/3 (64)^(-2/3) * (65.1 - 64)

f(65.1) - 4 = 1/3  1.1   (64)^(-2/3) =   1/3 * 1.1  * 1/16  =   1.1 / 48 = 0.0229

The exact difference is 0.022916

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The current when the resistance is 49392 ohms is 0.122 amperes.

If a current passes through two points is directly proportional to voltage and inversely proportional to the resistance.

The ohm's law is V=IR

Here V is the voltage, I is the current and R is the resistance.

Here we need to find the current flow through the conductor. The unit of current in amperes.

The current is I = 1/6 amperes when resistance is R = 36288 ohms.

To find voltage :

I = V/R

1/6 = V/36288

6V = 36288

V = 36288/6

V = 6048

Therefore, the voltage is 6048 volts.

Now, the current when the resistance is R = 49392 ohms:

I = V/R

I = 6048/49392

= 0.122 amperes.

Hence the current is 0/122 amperes.

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In the first line, we are going to have that if you put 7 then to have the sum rigth the next space have to be 9, following that idea the space down of the 9 have to be also 7 and the first space on the second line have to be 19. So we are going to have 7 + 9 = 16 in the first line and in the second line 19 - 7 = 12, and the other two operations are going to be solve also 7 + 19 = 26 and 9 + 7 = 16.

Then the answer is 7 + 9 = 16 in the first line and in the second line 19 - 7 = 12.

The Answer is $16.97

explanation:

At first Ryan have balance of -$19.43  that is negative balance.

And after that he deposited $36.40.

so now we need to find how much money has he have in account :

For that add -$19.43 + $36.40 = $16.97 .

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Answer:

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex (h, k).

Answer:

[tex]\sf Vertex \left(\dfrac{3}{2}, \dfrac{-81}{4}\right)[/tex]

Step-by-step explanation:

          y = x² - 3x - 18

       Add 18 to both sides.

           y + 18 = x² - 3x

     Divide the co-efficient of x by 2 and square the result and then add it to both sides.

      Co-efficient of x = 3. Divide 3 by 2and add (3/2)² to both sides

          [tex]\sf y + 18 + \left(\dfrac{3}{2}\right)^2= x^2 - 3x + \left(\dfrac{3}{2}\right)^2\\\\\\y + 18+\dfrac{9}{4}=x^2 - 3x + \dfrac{9}{4}\\\\\\[/tex]

          [tex]\sf y + \dfrac{18*4}{1*4}+\dfrac{9}{4}=\left(x - \dfrac{3}{2}\right)^2\\\\\\y + \dfrac{72}{4}+\dfrac{9}{4}=\left(x - \dfrac{3}{2}\right)^2\\\\\\y + \dfrac{81}{4}=\left(x-\dfrac{3}{2}\right)^2\\\\ y = \left(x-\dfrac{3}{2}\right)^2 -\dfrac{81}{4}\\\\[/tex]

Vertex form:  f(x) = (x - h)² + k

where h and k are the vertex co-ordinates.

              [tex]\sf \boxed{\bf Vertex \left(\dfrac{3}{2}, \dfrac{-81}{4}\right)}[/tex]          

10x i think is the correct answer

The equation which represents money in the account after x weeks is:

20x+y=180

Hence the time after which the account has a balance of zero is 9 weeks.

Given, the bank account has a current balance of $180.

Withdrawal of $20 takes place every week.

we are asked to determine the amount of time (in weeks) needed for the account to have no balance is = ?

let x be the time time (weeks)

and y be the money left in the bank.

the equation will be:

20x + y = $180

Hence if the balance is zero, then how many weeks will it be.

substitute y=0

20x+0=180

20x=180

x=180/20

x=9

Hence it will take 9 weeks until the account has a balance of zero.

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Answer:

d = 8 , a₁ = - 6 , a₂ = 2

Step-by-step explanation:

the recursive formula is

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d

where d is the common difference

compare with

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 8

then common difference d = 8

the initial term is the first term, that is a₁ = - 6

then

a₂ = a₁ + d = - 6 + 8 = 2

Answer:

8 bookmarks were sold

Step-by-step explanation:

Answer: The answer is 8 not sure how to explain it. Can I get a brainliest plsssssssssssss

The car-driven cost increases with an increase in miles. After substituting x = 1,2,3,4.... you will find that it is increasing by 0.29 every time.

Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. The expression on the left and the expression on the right is shown to be equal in reference to one another.

According to the question,

y = 0.29 x + 209

Where x is the number of miles and y is representing the driving cost of the car.

Substitute x = 1,2,3,4...... in the above equation.

y₁ = 0.29 (1) + 209 = 209.29

y₂ = 0.29 (2) + 209 = 209.58

y₃ = 0.29 (3) + 209 = 209.87

y₄ = 0.29 (4) + 209 = 210.16 and so on.

Now, take the difference,

y₂ - y₁ = 0.29

y₃ - y₂ = 0.29

y₄ - y₃ = 0.29

Hence, it is clear that with an increase in each mile the cost is increasing by 0.29.

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The sum of the angles of a triangle always equals 180°, then we can formulate the following expression:

(x + 69)° + (39 + x)° + 90° = 180°

By combining like terms in the above equation, we get:

x + x + 69 + 39 + 90 = 180

2x + 198° = 180°

We can solve for x to get:

2x + 198 - 198 = 180 - 198

2x = 180 - 198

2x = -18

x = -18/2

x = -9

Then, x equals -9.

In order to calculate the measure of angle A, we just have to replace the value of x into the equation 39 + x, then we get:

mmm

Then, the measure of angle A equals 30°.

The equation of the line: y=-1/2x+4

A line's slope is the ratio of how much y increases as x increases by a specific amount. How steep a line is, or how much y climbs as x rises, is determined by its slope. The slope is constant anywhere along the line (the same).

The slope of the line and its passing point are given to us.

Using this information, we can write the equation in point-slope form as follows:

y-y1 = m(x-x1)

y-1 = -1/2(x-6)

y-1 = -1/2x+3

Move -1 to the right now by performing the reverse operation:

y = -1/2x+3+1

y = -1/2x+4

Hence, The equation of line is y = -1/2x+4

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Answer: $27

Step-by-step explanation:

Your question is unfinished but I'm assuming you want to know how much he had before his purchase.

If he spent $27 and is now broke that means he only had $27 in his wallet before his purchase

The resulting value after the subtraction of 15/57 - 6/45 is 37/285

Subtraction:

Subtraction is an arithmetic operation that represents the operation of removing the particular objects from a collection.

It is signified by the minus sign, −.

Given,

Here we need to find the value of the subtraction of 15/57 - 6/45.

The fractions have unlike denominators.

First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(57, 45) = 855

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD.

This is basically multiplying each fraction by 1.

[tex]\frac{15}{57}\times\frac{15}{15}-\frac{6}{45}\times\frac{19}{19}[/tex]

Complete the multiplication and the equation becomes

=> 225/855 - 114/855

Complete the multiplication and the equation becomes

=> 111/855

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 111 and 855 using

GCF(111,855) = 3

[tex]= > \frac{111 \div 3}{855 \div 3} = \frac{37}{285}[/tex]

Therefore, resulting value is 37/285.

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Answer:

no there will never have the same amount in their accounts at any point

Step-by-step explanation:

The criteria that always proves triangles are congruent are;

Option A; Corresponding congruent Angle-Side-Angle

Option B; Corresponding congruent Side-Angle-SideOption

D: 3 congruent sides

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

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Explanation:

The given solution is (2,9) which means x = 2 and y = 9 pair up together.

Replace x with 2 and replace y with 9.

Let's do so for the first equation

y = 3x+3

9 = 3*2+3

9 = 6+3

9 = 9

We get the same thing on both sides, which confirms the first equation.

Now let's check the second equation.

y = x+7

9 = 2+7

9 = 9

This equation is confirmed as well.

Both equations are true when (x,y) = (2,9) which confirms it is indeed the solution to the system.

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

If you are a visual learner, then I recommend graphing out the equations using a tool like GeoGebra or Desmos.

The two lines intersect at (2,9) which visually confirms it is the solution.

The slope of the line is 7 x - 8 y + 56 = 0  0r 8 y = 7x - 56

What does it mean by slope of a line ?

The ratio of the difference between the y- and x-coordinates of the two points that make up the line must be calculated. The slope of the line is the value that is obtained. It displays how the line's y-axis climb compares to its x-axis run.

Given : The two points are A( 0, 7 ) and B ( -8 , 0 )

The formula of the slope of the line is

y₂ - y₁ = m ( x₂ - x₁ )

And m = y₂ - y₁ / x₂ - x₁

m = - 7 / - 8 = 7/8

therefore , y - 0 = 7/8 ( x + 8 )

8 y = 7x + 56

7 x - 8 y + 56 = 0

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