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Vika [28.1K]
4 years ago
6

Ali is riding his bicycle. He rides at a Speed of 12.8 kilometers per hour for 2 hours how many kilometers did he ride

Mathematics
1 answer:
ipn [44]4 years ago
6 0

Answer:

25.6 kilometers

Step-by-step explanation:

12.8 km in an hour

he is riding for 2 hours

12.8 x 2 = 25.6

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Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
dedylja [7]

g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).

Which means that our equation for f(x) is:

\large{f(x) = x}

Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.

\large{f(x + k) = x + k }\\  \large{g(x) = x + k}

Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.

\large{g(x) = x + 4}

Answer

  • g(x) = x+4
  • Therefore the value of k is 4.
3 0
3 years ago
Polynomials how do I do these what are the answers ?
PtichkaEL [24]

Answer:

for six you got to get rid of the x's first the you it how u normally would

Step-by-step explanation:


8 0
3 years ago
A man has two more nickels than dimes. He has $1.15 in all. How many coins of each kind does he have?
zhannawk [14.2K]

Answer:

Man has 9 Nickels and 7 dimes.

Step-by-step explanation:

Let Number of dimes be x

and Number of Nickels be y

As Per given data he has two more nickels than dimes.

y= 2+x\\

As we know that

1\$ = 100 cent

1 nickel is worth = 5 cents = \frac{5}{100}= 0.05\$

1 dime is worth = 10 cents = \frac{10}{100} 0 .1\ $

According to given data he has \$\ 1.15 total nickel and dimes

So the equation becomes,

0.05y+0.1x=1.15

but y= 2+x

0.05(2+x)+0.1x=1.15\\0.1+0.05x+0.1x=1.15\\0.1+0.15x= 1.15\\0.15x= 1.15-0.1\\0.15x=1.05\\x=\frac{1.05}{0.15}= 7

Substituting value of x in equation y = 2+x we get

y= 2+7 =9

Man has 9 Nickels and 7 dimes.

5 0
3 years ago
Solve by substitution 2.5x-3y=-3 3.25x-y=-14
zhuklara [117]
Hello Complimentmady1, the first question, answer: <span>x=<span><span>1.2y</span>−1.2</span></span><span> second question, </span>answer:<span /><span> x=<span><span>0.307692y</span>−4.307692.</span></span>


4 0
4 years ago
A rectangle has a height of k2 + 3 and a width of k2 + 7.
ElenaW [278]

Answer:

The area of the rectangle in polynomial form is k^4 +10 k^2 + 21

Step-by-step explanation:

Given

Shape: Rectangle

Height: k^2 + 3

Width: k^2 + 7

Required

Area of the rectangle

The area of a rectangle is calculated as thus;

Area = Length * Width

By substituting k^2 + 3 for height and k^2 + 7 for width; This gives

Area = (k^2 + 3)(k^2 + 7)

Expand the bracket

Area = k^2(k^2 + 7) + 3(k^2 + 7)

Open each bracket

Area = k^2*k^2 + k^2*7 + 3*k^2 + 3*7

Area = k^4 +7 k^2 + 3k^2 + 21

Area = k^4 +10 k^2 + 21

Hence, the area of the rectangle in polynomial form is k^4 +10 k^2 + 21

5 0
3 years ago
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