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3 years ago

The sum of seven times a number— PLEASE HELP!

Mathematics

2 answers:

Ratling [72]3 years ago

7 0

Answer:

$4\\6$

Step-by-step explanation:

$7x+3y=54\\x=y+2$

$7(y+2)+3y=54\\7y+14+3y=54\\10y+14=54\\10y=40\\y=4$

$x=y+2\\x=4+2\\x=6$

castortr0y [4]3 years ago

6 0

Answer:

x = 6

y = 4

Step-by-step explanation:

Let the two numbers be x and y

Condition 1:

7x+3y = 54 -----------(1)

Condition 2:

x = 2+y -----------------(2)

Putting (2) in (1)

=> 7(y+2)+3y = 54

=> 7y+14+3y = 54

=> 10y = 54-14

=> 10y = 40

Dividing both sides by 10

=> y = 4

Now putting y = 4 in eq(2)

=> x = 2+4

=> x = 6

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What is the shape of the graph of the function? g(x)= 3/2 (2/3) ^x

Andrew [12]

Answer:

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

Step-by-step explanation:

Given the function

$g\left(x\right)=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x$

Determining the y-intercept

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

substituting x = 0 in the fuction

$y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x$

$y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^0$

Apply rule: $a^0=1,\:a\ne \:0$

$y=1\cdot \frac{3}{2}$

$y=\frac{3}{2}$

$y = 1.5$

Therefore, the point representing the y-intercept is:

(0, 1.5)

Determining the x-intercept

We know that the value of the x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

substituting y = 0 in the function

$0=\frac{3}{2}\left(\frac{2}{3}\right)^x$

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

$\left(\frac{2}{3}\right)^x=0$

We know that $a^{f\left(x\right)}$ can not be zero or negative for x ∈ R

Thus, NONE represents the x-intercept.

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

5 0

3 years ago

ANSWER THESE ILL GIVE U BRAINLIEST

Mazyrski [523]

8 - rotation
9- rotation
10- y- axis

4 0

3 years ago

PLZZZ HELP ME 10 PTSS

Anestetic [448]

Answer:

5 31/ 30 or 6 1/30

Step-by-step explanation:

I wish this helped you

5 0

3 years ago

Read 2 more answers

Given x : y: z = 5:1:3 and z - y = 28. find the value of x + y

Vera_Pavlovna [14]

Answer:

x + y = 84

Step-by-step explanation:

Given

x : y : z = 5 : 1 : 3, then

$\frac{x}{y}$ = 5 ( multiply both sides by y )

x = 5y ←

and $\frac{y}{z}$ = $\frac{1}{3}$ ( cross- multiply )

3y = z

Substitute z = 3y into z - y = 28

3y - y = 28

2y = 28 ( divide both sides by 2 )

y = 14 ← ←

Substitute y = 14 into x = 5y

x = 5 × 14 = 70 ← ←

Substitute y = 14 into z - y = 28

z - 14 = 28 ( add 14 to both sides )

z = 42 ← ←

Thus x = 70, y = 14 and z = 42

Hence x + y = 70 + 14 = 84

5 0

3 years ago

I do not know what you do on problem 14

Elan Coil [88]

Distance d is directly proportional to time t that he rides.

So d = kt where k is the constant of proportionality

Here k = his speed = 20 mph

So the required equation is d = 20t

5 0

3 years ago