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Ronch [10]
3 years ago
11

Janice is roller skating at a constant speed away from her house. The first half of the street is flat, but the second half has

a steep upward hill. Janice moves more slowly as she skates up the hill.
Which graph shows Janice's position as she roller skates away from her house?

A. Z
B. X
C. W
D. Y​

Mathematics
2 answers:
Zolol [24]3 years ago
8 0

Answer:

It's Z.

Step-by-step explanation:

Because the road is straight at first, then it gets steep.

which means that the road goes down,

kinda like a drop off.

weqwewe [10]3 years ago
5 0

Answer:

Y moving quicker, then moving slower rate

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Renee has 1/4 yard of floral fabric. She cuts it into 5 equal pieces. How long is each new piece of fabric?
Zinaida [17]

Answer:

\dfrac{1}{20}\ \text{yards}

Step-by-step explanation:

Given that,

Renee has 1/4 yard of floral fabric.

She cuts it into 5 equal pieces.

We need to find the length of each new piece of fabric. It is equal to the total length divided by the total number of pieces. So,

l=\dfrac{\dfrac{1}{4}}{5}\\\\=\dfrac{1}{4}\times \dfrac{1}{5}\\\\=\dfrac{1}{20}\ \text{yards}

So, each new piece pf fabric is \dfrac{1}{20}\ \text{yards}.

5 0
3 years ago
Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
inn [45]

Answer:

See explanation

Step-by-step explanation:

1. Factor the function f(x)=-2x^2+16x-30:

f(x)=-2x^2+16x-30=-2x^2+6x+10x-30=-2x(x-3)+10(x-3)=-2(x-3)(x-5).

2. The zeros (or the solutions of the equation f(x)=0) are x=3 and x=5. So? points (3,0) and (5,0) are the points on the graph that are the solutions of the equation.

3. Find the vertex:

x_v=-\dfrac{b}{2a}=-\dfrac{16}{2\cdot (-2)}=4,\\ \\y_v=-2\cdot 4^2+16\cdot 4-30=-32+64-30=2.

Thus, the coordinates of the vertex are (4,2) and the axis of symmetry is the vertical line that passes trough the vertex: x=4.

3 0
3 years ago
Can someone please help! Thank you so much!
torisob [31]

Answer:

a. 3x (150 degrees)

b. 9x (180 degrees)

c. 3x - 20 (220 degrees)

3 0
3 years ago
The tens digit of a two-digit number is twice the units digit. If the digits are reversed, the new number is 36 less than the or
Ludmilka [50]
Try this solution:
let the unknown two-digits number be 'xy'.
Then it is possible to write any two-digit number as 10x+y, where x - the tens digit and y - the unit digit.
Using the rule described above the phrase 'the tens digit of a number is twice the units digit' may be written as x=2y.
Using the same rule the phrase 'if the digits are reversed, the new number is 36 is less than the original number' may be written as (10x+y)-(10y+x)=36.
These two equations may be resolved as system of two equations:
\left \{ {{x=2y} \atop {10x+y-(10y+x)=36}} \right. \ =\ \textgreater \  \  \left \{ {{x=8} \atop {y=4}} \right.
Check: the original number is 84, the new number is 48; difference is 84-48=36.

answer: 84
7 0
3 years ago
Solve.
Firdavs [7]
The answer is d is less than 6
3 0
3 years ago
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