How do i solve this help me

Given:

The equation is:

[tex]y-5=\dfrac{4}{3}(x-5)[/tex]

To find:

The graph of the given equation.

Solution:

Point slope form of a line is:

[tex]y-y_1=m(x-x_1)[/tex]               ...(i)

We have,

[tex]y-5=\dfrac{4}{3}(x-5)[/tex]           ...(ii)

On comparing (i) and (ii), we get

[tex]x_1=5,y_1=5,m=\dfrac{4}{3}[/tex]

It means, slope of the line is [tex]\dfrac{4}{3}[/tex] and it passes through the point (5,5).

Putting x=2 in the given equation, we get

[tex]y-5=\dfrac{4}{3}(2-5)[/tex]

[tex]y=\dfrac{4}{3}(-3)+5[/tex]

[tex]y=-4+5[/tex]

[tex]y=1[/tex]

The line passes through the point (2,1).  Plot the points (2,1) and (5,5) on a coordinate plane and connect them by a free hand curve as shown below.

Answer:

137

Step-by-step explanation:

given AP

t1 = -3 and t2 = 4

using,

d=t1-t2

=4-(-3)

=7

And,

tn=a+(n-1)d

t21=(-3)+(21-1)(7)

t21=137

Answer:

B) -137

Step-by-step explanation:

a=a1=−3,a2=4

∴d=a2−a1=4−(−3)=4+3=7

Answer:

x = 67/x^4

Step-by-step explanation:

I did step by step on the whiteboard. I hope it helps!

Answer:

Tom earns $7.00 per hour

9514 1404 393

Answer:

  (a) Micah's solution is wrong.

Step-by-step explanation:

After adding 5/2x to both sides, Micah should have obtained ...

  5/6 = 8

This would indicate there are no values of x that make the statement true.

Answer:

0.7304

Step-by-step explanation:

According to the Question,

We have,

P(keystroke satisfactory) =0.83 ,  P(logic satisfactory)= 0.88

Since the events are independent. So, the probability that a finished calculator will be satisfactory

⇒ 0.83×0.88

⇒0.7304

Answer:

[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]

Step-by-step explanation:

choose 2 points to find slope

(1,1) (-3,-1)

[tex]m = \frac{ - 1 - 1}{ - 3 - 1} = \frac{1}{2} [/tex]

y-y1 = m(x-x1)

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

y = 1/2x + 1/2

guessing

y= 1/2x + 1/2

did y2 - y1/ x2-x1

which gave

-3

-6

also it passed through the y axis at +1/2

Answer:

x = 11

Step-by-step explanation:

I assume you want x, so I simply rearranged the terms, subtracted, and simplified.

9514 1404 393

Answer:

  a) 230

  b) 300

  c) 2×10^-2

  d) 1.1×10^-6

Step-by-step explanation:

a) 0.26 × 890 ≈ 1/4 × 900 ≈ 225 ≈ 230

b) 1.95/(.67×10^-2) ≈ 2/(2/3)×10^2 ≈ 300

c) 2010×10^-5 ≈ 2×10^3×10^-5 = 2×10^-2

d) 9.98×10^-4/(9×10^2) = 9.98/9×10^(-4-2) ≈ 1.1×10^-6

__

YMMV depending on how you do the rounding and approximate multiplication and division.

The first one can be done multiple ways. For most accurate results, increasing one number while decreasing the other is recommended. (You don't want to compute 0.3×900, for example.)

Solution to the question:

Number of blocks stacked: 30

Height of tower: 64 inches

Height of each block: ?

To find the height of each block, we divide the total height of the tower with the number of blocks stacked

Therefore,

Height of each block: 64/30 = 2.13 inches

So, the height of each block is 2.13 inches.

Answer:

The sum of the first 20 terms is -1440.

Step-by-step explanation:

We want to find the sum of the first 20 terms of the arithmetic sequence:

4, -4, -12, -20...

The sum of an arithmetic sequence is given by:

[tex]\displaystyle S=\frac{k}{2}(a+x_k)[/tex]

Where k is the number of terms, a is the initial term, and x_k is the last term.

Since we want to find the sum of the first 20 terms, k = 20.

Our initial term a is 4.

Our last term is also the 20th term as we want the sum of the first 20 terms.

To find the 20th term, we can write an explicit formula for our sequence. The explicit formula for an arithmetic sequence is given by:

[tex]x_n=a+d(n-1)[/tex]

Where a is the initial term, d is the common difference, and n is the nth term.

Our initial term is 4. From the sequence, we can see that our common difference is -8 since each subsequent term is eight less than the previous term. Therefore:

[tex]x_n=4-8(n-1)[/tex]

Then the last or 20th term is:

[tex]x_{20}=4-8(20-1)=4-8(19)=-148[/tex]

Therefore, the sum of the first 20 terms are:

[tex]\displaystyle\begin{aligned} S_{20}&=\frac{(20)}{2}\left((4)+(-148))\\&=10(-144) \\&= -1440\end{aligned}[/tex]

Answer:

- 1440

Step-by-step explanation:

First-term is 4 and we subtract 8 to get the next term so the general term is

a(n) = 4 - 8(n -1)

The sum of the sequence is the average of the first and last terms multiplied by the number of terms: (a1 + an)/2 * n

We need the 20th term: a20 = 4 - 8(20–1) = 12 - 160 = - 148

The sum is (4 - 148)/2 * 20 = 10*(-144) = - 1440

Answer:

(40,30)

Step-by-step explanation:

This is when the prices are the same so they cross on the graph.

Answer:

C

Step-by-step explanation:

We want to find the ordered pair that estimates the time and cost at which the two stores charge the same amount

If the graph shows the two stores times and amount charged then wherever the two lines intersect is where the time and amount charged is the same

The two lines intersect at (40,30)

Hence the answer is C

Answer:

(1/3) r2 =(1/3) r +14

1/6 divided by 83 r + 14

97r

i think...

I hope this helps you!

XoXo Mashayla

Step-by-step explanation:

Answer:

A. 2

Step-by-step explanation:

[tex] \int_0^1 \: 5x \sqrt x \: dx \\ \\ = \int_0^1 \: 5x . \: {x}^{ \frac{1}{2} } \: dx \\ \\ = 5\int_0^1 \: {x}^{ \frac{3}{2} } \: dx \\ \\ = 5 \bigg( \frac{ {x}^{ \frac{3}{2} + 1 } }{ \frac{3}{2} + 1 } \bigg)_0^1\\ \\ = 5 \bigg( \frac{ {x}^{ \frac{5}{2} } }{ \frac{5}{2}} \bigg)_0^1 \\ \\ = 5 \times \frac{2}{5} \bigg({x}^{ \frac{5}{2} } \bigg)_0^1 \\ \\ = 2 \bigg( {1}^{ \frac{5}{2} } - {0}^{ \frac{5}{2} } \bigg) \\ \\ = 2(1 - 0) \\ \\ = 2[/tex]

Answer:

2 ( Option A )

Step-by-step explanation:

The given integral to us is ,

[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]

Here 5 is a constant so it can come out . So that,

[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]

Now we can write √x as ,

[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]

Simplify ,

[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]

By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,

[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]

On simplifying we will get ,

[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]

Answer:

Step-by-step explanation:

the statement  0 < t < 52.5  represents all the time values for when Riko is behind Yuto,   she catches up to Yuto at 52.5 minutes into her ride.   Her ride starts at time of zero , so she can't have a negative time,  like -4  because she isn't involved in the activity of riding her bike.  

Answer:

The solution means that Riko will be behind Yuto from the time she leaves the house, which corresponds to t = 0, until the time she catches up to Yuko after 52.5 minutes, which corresponds to t = 52.5. The reason that t cannot be less than zero is because it represents time, and time cannot be negative.

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

To solve for x, isolate it by dividing both sides of the equations by 5.

5x / 5 = 10 / 5

x = 2

Answer:

x = 2

Step-by-step explanation:

5x = 10

Divide both sides by 5.

x = 2

Answer:

42

Step-by-step explanation:

Perimeter is [tex]2l+2w[/tex]

Answer: 42

Hope this helped! Please mark brainliest :)

Answer:

v=1/2(13.1+25.4)(17)(15)

v=1/2(38.5)(255)

v=4,908.7 ft³

OAmalOHopeO

Explanation:

Refer to row three of the table. The table shows that when x = 0, we have f(x) = 4. This is the same as saying f(0) = 4.

Answer:

the answer

-2 0-2

Given:

Consider the given equation is:

[tex](2\cdot 2^2)^x=64[/tex]

To find:

The value of x.

Solution:

We have,

[tex](2\cdot 2^2)^x=64[/tex]

It can be written as:

[tex](2\cdot 4)^x=8\times 8[/tex]

[tex]8^x=8^2[/tex]

On comparing the exponents of both sides, we get

[tex]x=2[/tex]

Therefore, the value of x is 2.

Answer:

[tex]\frac{a^2*c^2}{c^2*d^2}+\frac{bc}{ad}= \frac{a^3 + bcd}{ad^2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{a^2*c^2}{c^2*d^2}+\frac{bc}{ad}[/tex]

Required

Simplify

We have:

[tex]\frac{a^2*c^2}{c^2*d^2}+\frac{bc}{ad}[/tex]

Cancel out [tex]c^2[/tex]

[tex]\frac{a^2*c^2}{c^2*d^2}+\frac{bc}{ad}= \frac{a^2}{d^2}+\frac{bc}{ad}[/tex]

Take LCM

[tex]\frac{a^2*c^2}{c^2*d^2}+\frac{bc}{ad}= \frac{a^3 + bcd}{ad^2}[/tex]

Answer:

The equation of the line is; y = 0.5·x + 2

Step-by-step explanation:

The points that define the line CD = C(-2, 1) and D(10, 7)

The equation of the line can be presented in the form of the general equation of a straight line, y = m·x + c

Where;

m = The slope of the line = [tex]\dfrac{7 - 1}{10 - (-2)} = \dfrac{1}{2} = 0.5[/tex]

c = The y-intercept

From the obtained slope, m = 0.5, using point D(10, 7), the equation of the line in point and slope form is therefore;

y - 7 = 0.5·(x - 10)

From the above equation of the line in point and slope form, we get the general form of the equation of the line as follows

y - 7 = 0.5·(x - 10) = 0.5·x - 5

y - 7 = 0.5·x - 5

y = 0.5·x - 5 + 7 = 0.5·x + 2

y = 0.5·x + 2

The equation of the straight line in general is y = 0.5·x + 2.

Step-by-step explanation:

If the volume of a cubical room is 2700 cm³ .

l³=2700

l=3 (100)⅓

answer:

to test whether agraph is linear

Answer:

y = -1/5x - 6

Step-by-step explanation:

7y - 35x = 21             7y = 35x + 21           y = 5x + 3

y = -1/5x + b

-8 = -1/5(10) + b

-8 = -2 + b

-6 = b

9514 1404 393

Answer:

  A. subtraction

  B. division

  C. multiplication

  D. addition

Step-by-step explanation:

Observe what is done to the variable. Choose the operation that turns the unwanted value into the appropriate identity element.

A. 3.75 is added. To make that value be 0, we subtract 3.75.

B. -3 is multiplied. To make that value be 1, we divide by -3.

C. m is divided by 5. To make that 1/5 multiplier be 1, we multiply by 5.

D. 4 is subtracted. To make that value be zero, we add 4.

_____

Additional comment

Since subtraction is the same as addition of the opposite, and division is the same as multiplication by the reciprocal, the only two properties we really need are the addition property and multiplication property. Your grader may disagree.

Answer:

Other dude is right.

Step-by-step explanation:

Be safe, have an amazing day. :)

Answer:

[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes

Step-by-step explanation:

[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]

It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Let's use the formula for the work rate:

Ted's work rate = 1/3 of the field per hour

Jacob's work rate = 1/2 of the field per hour

Together, their work rate.

= (1/3 + 1/2) of the field per hour

Now,

We can simplify the equation for the combined work rate by finding a common denominator:

(1/3 + 1/2)

= (2/6 + 3/6)

= 5/6 of the field per hour

Now we can use the formula for the work rate to solve the time it would take them to clear the field together:

(5/6)t = 1

(where t is the time in hours)

Solving for t:

(5/6)t = 1

t = 6/5

Therefore,

It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.

Learn more about equations here:

https://brainly.com/question/17194269

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