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jasenka [17]
2 years ago
8

Stephanie has the same number of dimes and nickels. She has $6.10 in all. Write an equation that you could use to find the numbe

r of dimes and nickels Stephanie has.
Mathematics
1 answer:
Igoryamba2 years ago
5 0

Answer:

The equation is

15x = 610

Step-by-step explanation:

A dime is 10 cents while a nickel is 5 cents

$6.10 is same as 610 cents

Let the number of dimes and number of nickels be x

10x + 5x = 610

15x = 610

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The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a normal distribution with a mean of 12.48 oun
vampirchik [111]

Answer:

omg 12.80+12.48=.....

Step-by-step explanation:

I told u anwser St top hahahahaha

5 0
2 years ago
What is the power of x? <br> A) 2 <br> B) 3 <br> C) 6 <br> D) 7
Thepotemich [5.8K]

Answer:

A

Step-by-step explanation:

They are basically wanting the value of x.

These are 2 secant lines drawn. Secant Line is a line that intersects the circle at 2 points.

To solve this, we have to use secant-secant theorem.

Secant-Secant Power Theorem tells us that if 2 secant lines are drawn from external point (here, E) to a circle, then, product of measure of one secant's external part and total secant is equal to other secants external part and whole secant.

In algebra, that is:

(x+1)(x+1+11)=(x+4)(x+4+1)

Let's multiply and find the value of x:

(x+1)(x+1+11)=(x+4)(x+4+1)\\(x+1)(x+12)=(x+4)(x+5)\\x^2 + 13x + 12=x^2+9x+20\\13x+12=9x+20\\13x - 9x = 20 - 12\\4x = 8\\x = 2

Hence, the correct answer choice is A

8 0
3 years ago
A line has a slope of 3, is increasing, and passes through the point (2,7). What is its y-intercept?
Anna71 [15]
The y-intercept is 1
3 0
3 years ago
Read 2 more answers
Determine the equation of the line that goes through points (1.1) and (3.7).
ValentinkaMS [17]

Answer:

The equation of the line that goes through points (1,1) and (3,7) is \mathbf{y=3x-2}

Step-by-step explanation:

Determine the equation of the line that goes through points (1,1) and (3,7)

We can write the equation of line in slope-intercept form y=mx+b where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: Slope=\frac{y_2-y_1}{x_2-x_1}

We have x_1=1, y_1=1, x_2=3, y_2=7

Putting values and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{7-1}{3-1}\\Slope=\frac{6}{2}\\Slope=3

We get Slope = 3

Finding y-intercept

y-intercept can be found using point (1,1) and slope m = 3

y=mx+b\\1=3(1)+b\\1=3+b\\b=1-3\\b=-2

We get y-intercept b = -2

So, equation of line having slope m=3 and y-intercept b = -2 is:

y=mx+b\\y=3x-2

The equation of the line that goes through points (1,1) and (3,7) is \mathbf{y=3x-2}

4 0
3 years ago
The exponential function f(x) = 2^x undergoes two transformations to
Eddi Din [679]

Option A: It is vertically stretched

Option B: it is shifted down

Solution:

The exponential function f(x)=2^{x}undergoes two transformations to   g(x)=5 \cdot 2^{x}-3.

<u>To determine how the graph changes:</u>

Consider the given exponential function f(x)=2^{x}.

Let y = f(x)

Vertically compressed or stretched:

A vertically compression (stretched) of a graph is compressing the graph toward x-axis.

• if k > 1 , then the graph y = k• f(x) , the graph will be vertically stretched by multiplying each y coordinate by k.

• if 0 < k < 1 if 0 < k < 1 , the graph is f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.  

• if k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.  

Here, k = 5  

So the graph will be vertically stretched.

Also, Adding 3 to the graph will move the graph 3 units down so, the graph is shifted down.

So, The graph is shifted down.  

Hence option A and option B is the correct answer.

5 0
3 years ago
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