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faltersainse [42]
3 years ago
7

What does the initial amount represent on the linear equations word problems?

Mathematics
1 answer:
galben [10]3 years ago
6 0

Answer:

0

Step-by-step explanation:

The initial value or y-intercept is the output value when the input of a linear function is zero.

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How to solve -5 3/14 to the thousandths place?? Please help
Scrat [10]
First off, let's change the mixed fraction to "improper", and do the division then.

\bf \stackrel{mixed}{-5\frac{3}{14}}\implies -\cfrac{5\cdot 14+3}{14}\implies \stackrel{improper}{-\cfrac{73}{14}}\implies -73\div 14\approx -5.21428571
\\\\\\
-5.\stackrel{tenth}{2}~\stackrel{hundreth}{1}~\stackrel{thousandth}{4}
4 0
3 years ago
What fraction of the students in the class named baseball their favorite sport
mojhsa [17]

now, let's take a peek at the denominators, we have 3 and 8 and 12, we can get an LCD of 24 from that.

Let's multiply both sides by the LCD of 24, to do away with the denominators.

so, let's recall that a whole is "1", namely 500/500 = 1 = whole, or 5/5 = 1 = whole or 24/24 = 1 = whole.  So the whole class will yield a fraction of 1/1 or just 1.

\bf ~\hspace{7em}\stackrel{\textit{basketball}}{\cfrac{1}{3}}+\stackrel{\textit{soccer}}{\cfrac{1}{8}}+\stackrel{\textit{football}}{\cfrac{5}{12}}+\stackrel{\textit{baseball}}{x}~=~\stackrel{\textit{whole}}{1} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{24}}{24\left(\cfrac{1}{3}+\cfrac{1}{8}+\cfrac{5}{12}+x \right)=24(1)}\implies (8)1+(3)1+(2)5+(24)x=24 \\\\\\ 8+3+10+24x=24\implies 21+24x=24\implies 24x=3 \\\\\\ x=\cfrac{3}{24}\implies x=\cfrac{1}{8}

4 0
3 years ago
Please help me with this, please!!!!!!!!!!!!!!!
DIA [1.3K]
First point (0,1)
x=0, -3*0+2y=2, y=1

second point (2,4)
-3x+2y=2
x=2, -3*2+2y=2, -6+2y=2, 2y=8, y=4

third point (-2, -2)  
x=-2, -3*(-2)+2y=2, 6+2y=2, 2y=-4, y=-2

5 0
4 years ago
What is the sum of the geometric series
lbvjy [14]
If S denotes the sum of the first n terms of a geometric series with first term a and common ratio r, then

S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}
rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n
\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n
\implies (1-r)S=a(1-r^n)
\implies S=a=\dfrac{1-r^n}{1-r}

Using summation notation, you have

S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}

In this case, you have a=2, r=\dfrac12, and n=16. So the value of the sum is

\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67

Rounded to the nearest whole number, the answer would be 3.
4 0
4 years ago
Read 2 more answers
Write the differential dw in terms of the differentials of the independent variables w=f(x,y,z) = sin (7x + 4y - 5z)
KengaRu [80]

Answer:

sorry 1111111111111111

5 0
3 years ago
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