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katrin [286]
2 years ago
6

NC Check-Ins 2 Math Grade 7 - NC Check-In 2- 2020-21 - Form 5657

Mathematics
1 answer:
sveticcg [70]2 years ago
7 0

Answer:

33

Step-by-step explanation:

Given that :

Card numbered from: 500 - 799

The required number of values must meet both conditions 1 and 2

Condition 1 : first of the 3 digits is odd :

500 - 599 = 100

700 - 799 = 100

(100 + 100) = 200 cards

Condition 2: three digits is divisible by 6

{500 - 599} and {700 - 799}

The numbers divisible by 6 are 33

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Find the equation of an exponential function in the form y = ab^x, given the points (0, 3) and (2, 108/25). Please simplify your
lilavasa [31]

We have the equation:

y=a\cdot b^x

We know two points and we will use them to calculate the parameters a and b.

The point (0,3) will let us know a, as b^0=1.

\begin{gathered} y=a\cdot b^x \\ 3=a\cdot b^0=a \\ a=3 \end{gathered}

Now, we use the point (2, 108/25) to calcualte b:

\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}

Then, we can write the equation as:

y=3\cdot(\frac{6}{5})^x

5 0
1 year ago
Can anyone give me the answer?
ivanzaharov [21]

Answer:

The 2nd one/Green

Step-by-step explanation:

A plane figure with five straight sides and five angles.

4 0
3 years ago
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What is the distance between parallel lines whose equations are y = 2x + 7 and y = 2x – 3?
malfutka [58]

Answer:

The distance is \sqrt{20} or 2\sqrt{5}.

Step-by-step explanation:

Slope of parallel: 2

Slope of perpendicular: -1/2

Pick a point for y =2x + 7. For example (0,7)

Use the perpendicular slope to get to the other line to find the other point of y=2x-3. Look at the screenshot...I got (4,5).

Distance formula \sqrt{(x_{2}-x_{1} )^{2}+(y_{2} -y_{1})^2   }

Insert (0,7) and (4,5)

\sqrt{(0-4)^{2}+(7-5)^2   } = \sqrt{(-4)^{2}+(2)^2   } = \sqrt{(16)+(4)}  } = \sqrt{20}  = 2\sqrt{5}

6 0
2 years ago
NEED HELP!!!!!!!!!!!!!!!!!!!!!
Likurg_2 [28]
I think the answer is C not to sure
3 0
3 years ago
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A line has a slope of -1/2 and a y-intercept of –2. What is the x-intercept of the line? –4, –1, 1 ,4
grin007 [14]
To get the x-intercept, we simply set y = 0 and solve for "x".

now, we have the slope and the y-intercept, well, let's plug those two in the slope-intercept form, reason why is called that anyway,

\bf y=\stackrel{slope}{-\cfrac{1}{2}}x\stackrel{y-intercept}{-2}\implies 0=-\cfrac{x}{2}-2\implies \cfrac{x}{2}=-2\implies x=-4
5 0
3 years ago
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