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3 years ago

Graph the line y=43x+1.

2 answers:

5 0

To graph this is is good to plot points. First, you can start by plotting the intercepts.

Y intercept is found by substituting 0 for x. In this case you get y=1 as the y int or (0,1) for the coordinate.

The X intercept is found by substituting 0 for y, and solving for x. For this, you get x=-1/43 or (-1/43,0) as the coordinate.

You can then plot the points and draw a line connecting the points to get an idea of what the graph looks like.

kogti [31]3 years ago

3 0

Answer:

Read explanation Please (I spent alot of time on it and its important to understand where the answer came from not just the answer!)

Step-by-step explanation:

This problem is in the form of y=mx+b where m is the ratio y grows accordinly to x and b is the value of y when x is 0 (mx0 is 0, 0+b is b).

In you problem we can identify that 1 is the y intercept or when x is 0. All we have to do is find another point since 2 points make alike. Let's say x was 1. 43 * 1 +1 = 44 so when x is 1 y is 44.

Our two points are, (0,1)(1,44)

I left a picture of the graphed btw!,

Hoped this helped, Eddie

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Find <img src="https://tex.z-dn.net/?f=a_%7B1%7D" id="TexFormula1" title="a_{1}" alt="a_{1}" align="absmiddle" class="latex-form

yKpoI14uk [10]

Answer:

$\displaystyle a_{1} = 108$

Step-by-step explanation:

we are given

the sum,common difference and nth term of a geometric sequence

we want to figure out the first term

recall geometric sequence

$\displaystyle S_{ \text{n}} = \frac{ a_{1}(1 - {r}^{n} )}{1 - r}$

we are given that

$S_n=189$
$r=\dfrac{1}{2}$
$n=3$

thus substitute:

$\displaystyle 189= \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{1 - \frac{1}{2} }$

to figure out $a_1$ we need to figure out the equation

simplify denominator:

$\displaystyle \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{ \dfrac{1}{2} } = 189$

simplify square:

$\displaystyle \frac{ a_{1}(1 - {( \frac{1}{8} )}^{} )}{ \dfrac{1}{2} } = 189$

simplify substraction:

$\displaystyle \frac{ a_{1} (\frac{7}{8} )}{ \frac{1}{2} } = 189$

simplify complex fraction:

$\displaystyle a_{1} (\frac{7}{8} ) \div { \frac{1}{2} } = 189$

calculate reciprocal:

$\displaystyle a_{1} \frac{7}{8} \times 2 = 189$

reduce fraction:

$\displaystyle a_{1} \frac{7}{4} \ = 189$

multiply both sides by 4/7:

$\displaystyle a_{1} \frac{7}{4} \times \frac{4}{7} \ = 189 \times \frac{4}{7}$

reduce fraction:

$\displaystyle a_{1} = 27\times 4$

simplify multiplication:

$\displaystyle a_{1} = 108$

hence,

$\displaystyle a_{1} = 108$

4 0

3 years ago

Write the expression in factored form. X^2+3x+xy

sergey [27]

Answer:

Factored form of x^2+3x+xy is x(x + 3 + y)

Step-by-step explanation:

x^2+3x+xy

Factor form ;

= x (x + 3 + y)

8 0

4 years ago

I need the answer to this plsss

masya89 [10]

Answer:

7 cm

Step-by-step explanation:

divide 56 by 8

area=length×width

width=area÷length

=56÷8=7 cm

8 0

3 years ago

You are curious about the amount of coffee that the giant fountain cup could

Anni [7]

Answer:

$Volume = 21.232\ gallon$

Step-by-step explanation:

Given

$h = 8$

$d_{top} = 6$ --- diameter at the top

$d_{base} = 4$ --- diameter at the base

$V = (\frac{\pi h}{3}) * ((r_{base}^2 + (r_{base} * (r_{top}) + (r_{top}^2)$

Required

The volume of the cup in gallons

We have:

$d_{top} = 6$

$d_{base} = 4$

Radius is calculated as:

$r = 0.5 * d$

So:

$r_{top} = 0.5 * 6 = 3$

$r_{base} = 0.5 * 4 = 2$

So, we have:

$V = (\frac{\pi h}{3}) * ((r_{base}^2 + (r_{base} * (r_{top}) + (r_{top}^2)$

$V = (\frac{22/7 * 8}{3}) * (2^2 + 2 * 3 + 3^2)$

$V = (\frac{25.143}{3}) * (4 + 6+9)$

$V = 8.381 * 19$

$V = 159.239$

The volume is

$V = 159.239ft^3$

We have:

$7.5 gallon = 1ft^3$

So:

$Volume = \frac{159.239}{7.5}gallon$

$Volume = 21.232\ gallon$

6 0

3 years ago

Please answer this is the third time I will give brainliest

Thepotemich [5.8K]

Answer:

y = 1.75

x = 1.25

Step-by-step explanation:

Since the triangles have equal angles, you can use ratios to solve for x and y.

For y:

$\frac{8}{10} =\frac{7}{a} \\8a=70\\a=8.75$

Subtract 7 from a to find y.

y = 8.75 - 7

y = 1.75

For x:

$\frac{8}{10} =\frac{5}{b} \\8b=50\\b=6.25$

Subtract 5 from b to find x.

x = 6.25 - 5

x = 1.25

8 0

3 years ago