1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NemiM [27]
3 years ago
12

What’s the equation for the table attached

Mathematics
1 answer:
sashaice [31]3 years ago
5 0

Answer:

y = -\frac{1}{2}x + 8

Step-by-step explanation:

So the y-intercept is already given; (0, 8)

So lets calculate the slope; \frac{y_{2} -y_{1} }{x_{2}-x_{1}}

\frac{7-8}{2-0} =-\frac{1}{2}

The slope is -\frac{1}{2}

Let's put it in slope-intercept form;

y = -\frac{1}{2}x + 8

You might be interested in
Express this to single logarithm
zzz [600]

Answer:  \log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right)

We have something in the form log(x/y) where x = q^2*sqrt(m) and y = n^3. The log is base 2.

===========================================================

Explanation:

It seems strange how the first two logs you wrote are base 2, but the third one is not. I'll assume that you meant to say it's also base 2. Because base 2 is fundamental to computing, logs of this nature are often referred to as binary logarithms.

I'm going to use these three log rules, which apply to any base.

  1. log(A) + log(B) = log(A*B)
  2. log(A) - log(B) = log(A/B)
  3. B*log(A) = log(A^B)

From there, we can then say the following:

\frac{1}{2}\log_{2}\left(m\right)-3\log_{2}\left(n\right)+2\log_{2}\left(q\right)\\\\\log_{2}\left(m^{1/2}\right)-\log_{2}\left(n^3\right)+\log_{2}\left(q^2\right) \ \text{ .... use log rule 3}\\\\\log_{2}\left(\sqrt{m}\right)+\log_{2}\left(q^2\right)-\log_{2}\left(n^3\right)\\\\\log_{2}\left(\sqrt{m}*q^2\right)-\log_{2}\left(n^3\right) \ \text{ .... use log rule 1}\\\\\log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right) \ \text{ .... use log rule 2}

8 0
2 years ago
Katie is building a rectangular wall. The wall will be 332 bricks wide and 39 bricks tall. She has 15,000 bricks. Does she have
agasfer [191]
Katie has enough bricks because it only takes 12,948 bricks to build the wall. To get 12,948, you will multiply 332 by 39. So basically you are multiplying the width by how tall it is.
4 0
3 years ago
Read 2 more answers
You and your friend each collect rocks and fossils. Your friend collects three times as many rocks and half as many fossils as y
pochemuha

Answer:

I collect 4 rocks and 16 fossils. While my friend collects 12 rocks and 8 fossils.

Step-by-step explanation:

The number of total objects collected by me  = 20

The number of objects collected by my friend  = 20

Let us assume:

The number of rocks collected by me  = m

The number of fossils collected by me  = 2 k

⇒ m +  2 k =  20  .... (1)

So, according to the question:

The number of rocks collected by my friend = 3 x (rocks collected by me)  

= 3 x (m)  = 3 m

The number of fossils collected by my friend = 1/2 x (fossils collected by me)    = 1/2 x (2k )  = k

⇒ 3 m +   k =  20  .... (2)

Solving (1)and (2) for the value of m and k, we get:

m +  2 k =  20     ⇒ m = 20 - 2 k ... Put this in (2)

3 m +   k =  20  ⇒  3 (20 - 2 k) +  k = 20

⇒ 60 - 6 k +  k  = 20

or, - 5k = -40

or, k = 40/5  = 8

⇒ k= 8

m + 2(8)  = 20

or, m = 4

Hence, the number of rocks collected by me  = m = 4

The number of fossils collected by me  =  2 k = 2 (4)  = 16

Hence, the number of rocks collected by my friend   = 3 m  = 3 x 4 = 12

The number of fossils collected by my friend   =   k =  8

Hence, I collect 4 rocks and 16 fossils. While my friend collects 12 rocks and 8 fossils.

4 0
3 years ago
Part F<br> Describe the shape of the graph.
Leokris [45]
This graph is growing exponentially, 0.5 more each time at every point
5 0
2 years ago
(1 point) The parabola given by the equation y=−x2+10x−23 has its vertex at (h,k) for:
Sunny_sXe [5.5K]

the vertex is (5, 2)

5 0
3 years ago
Other questions:
  • Two roots of a 3-degree polynomial equation are 5 and -5. Which of the following cannot be the third root of the equation?
    12·2 answers
  • Find the length of the diagonal AD in the pentagon ABCDE shown in the coordinate plane.
    10·1 answer
  • 4 Wayne is a store assistant manager who
    15·1 answer
  • Which number has the least absolute value? A) −5 B) −10 C) −20 D) −30
    7·2 answers
  • A line passes through the points (–1, 10) and (3, 2). Which shows the graph of this line?
    14·2 answers
  • Find the value of n(A) if n(B) = 38, n(ANB) = 17, and n(AUB) = 59. n(A)- (Type a whole number.) W More More T V
    13·1 answer
  • If someone answers this correctly I'll give em 100 points
    9·1 answer
  • .
    12·1 answer
  • The measures of the acute angles of a right triangle are in the ratio 5:7
    7·1 answer
  • "Calcular el área sombreada en la gráfica, utilizando la suma de áreas de rectángulos, recuerda entre más rectángulos más exacta
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!