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Daniel [21]
4 years ago
12

Guys.Can you please helo me with this?

Mathematics
2 answers:
faust18 [17]4 years ago
8 0
Slope is -1/4 and the y intercept is -1.5
Svetlanka [38]4 years ago
4 0
The slope-intercept form of a line is:

y=mx+b, where m=slope and b=y-intercept.

First find the slope using the two points clearly marked.

Slope or velocity is (y2-y1)/(x2-x1), in this case:

m=(-2-0)/(2--6)=-2/8=-1/4, so far we now have:

y=-0.25x+b, now using either point we can solve for b, using (2,-2):

-2=-0.25(2)+b

-2=-0.5+b

-1.5=b, so the line is:

y=-0.25x-1.5

So the slope is -1/4 and the y-intercept is -1.5

....

For the field of dimensions that are 3.2 times that of the playground...

perimeter=2(L+W) for the playground.

If the dimensions of the field are 3.2 times greater then:

p=2(3.2L+3.2W)

p=(3.2)(2(L+W))

So the perimeter of the field is 3.2 times that of the playground, so statements c and d are not true....

Now for the areas...the area of the playground is:

A=xy  and the area of the field is then:

A=(3.2x)(3.2y)

A=10.24xy

So the area of the field is 10.24 times that of the area of the playground.

Thus B is the only true statement.
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Which logarithmic graph can be used to approximate the value of y in the equation 4^y=8
WINSTONCH [101]
\bf \textit{exponential form of a logarithm}\\\\
log_{{  a}}{{  b}}=y \implies {{  a}}^y={{  b}}\qquad\qquad 
%  exponential notation 2nd form
{{  a}}^y={{  b}}\implies log_{{  a}}{{  b}}=y 
\\\\
-------------------------------\\\\

\bf 4^y=8\implies log_4(8)=y\qquad 
\begin{cases}
4=2^2\\
8=2^3
\end{cases}\implies (2^2)^y=2^3
\\\\\\
2^{2y}=2^3\impliedby \textit{since the bases are the same, so are the exponents}
\\\\\\
2y=3\implies y=\cfrac{3}{2}\implies y=1\frac{1}{2}\quad thus\quad 
\begin{cases}
x=8\\
y=\frac{3}{2}
\end{cases}

so.. check your graphs
7 0
4 years ago
Antonio ate 1/4 of a box of cereal, Jamie ate 1/8 of the box, Marianna ate 8/16 of it. What are the quantities in this situation
Molodets [167]

Answer:

so im not sure what youre asking but hopefully i can help you with this a little. if you change the fractions to all have the same denominator, it will be easier for you to solve. since they can all have eight as a denominator, antonio wouldve eaten 2/8 of a box of cereal, jamie 1/8, and marianna 4/8. hope that helps a little :)

Step-by-step explanation:

5 0
3 years ago
After being rearranged and simplified, which of the following equations could
masha68 [24]

Answer:

C and D

Step-by-step explanation:

The quadratic formula is

x= (-b±√b²-4ac)/2a

The formula uses the numerical coefficients in the quadratic equation.

The general quadratic equation is ax²+bx+c where a, b and c are the numerical coefficients

So, lets try and see;

A.

5x+4=3x^4-2\\\\=3x^4-5x-2-4\\=3x^4-5x-6\\a=3,b=-5,c=-6

But due to the fact that  in this equation you have x⁴, the equation is not a quadratic equation thus can not be solved using this formula

B

-x^2+4x+7=-x^2-9\\\\\\=-x^2+x^2+4x+7+9\\=4x+16

C

9x+3x^2=14+x-1\\\\\\=3x^2+9x-x-14+1\\\\=3x^2+8x-13\\\\\\a=3,b=8,c=-13\\

D.

2x^2+x^2+x=30\\\\\\=3x^2+x-30\\\\\\a=3,b=1,c=-30

From the checking above, the equations will be C and D

7 0
3 years ago
Read 2 more answers
Find area of circle
SSSSS [86.1K]

Answer:

it should be 16

Step-by-step explanation:

4 0
3 years ago
If p(x) = x2 - 1 and 4(x) = 5(x-1), which expression is equivalent to (p - 9)(x)?
bogdanovich [222]

Answer:

x^2 - 10 = (p - 9)(x)

Step-by-step explanation:

Please indicate exponentiation with the symbol " ^ ":  p(x) = x^2 - 1.

To obtain (p - 9), start with p(x) = x^2 - 1 and subtract 9:

(p - 9)(x) = x^2 - 1 - 9 = x^2 - 10 = (p - 9)(x)

7 0
4 years ago
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