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9966 [12]
2 years ago
10

Convert the following into slope-intercept form. 3x+4y=-16

Mathematics
2 answers:
Stels [109]2 years ago
7 0

Answer:

y= -3/4x - 4

Step-by-step explanation:

3x+4y=-16

4y= -3x-16

y= -3/4x -4

Hope This Helps!

Eva8 [605]2 years ago
6 0

Answer:

y = -3/4x -4

Step-by-step explanation:

3x+4y=-16

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

Subtract 3x from each side

3x -3x+4y=-3x-16

4y = -3x-16

Divide each side by 4

4y/4 = -3x/4 - 16/4

y = -3/4x -4

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17 13/18 divided by 2 7/9
erik [133]

let's firstly convert the mixed fractions to improper fractions and then divide.

\bf \stackrel{mixed}{17\frac{13}{18}}\implies \cfrac{17\cdot 18 +13}{18}\implies \stackrel{improper}{\cfrac{319}{18}}~\hfill \stackrel{mixed}{2\frac{7}{9}}\implies \cfrac{2\cdot 9+7}{9}\implies \stackrel{improper}{\cfrac{25}{9}} \\\\[-0.35em] ~\dotfill

\bf \cfrac{319}{18}\div \cfrac{25}{9}\implies \cfrac{319}{\underset{2}{~~\begin{matrix} 18 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{\stackrel{1}{~~\begin{matrix} 9 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{25}\implies \cfrac{319}{50}\implies 6\frac{19}{50}

7 0
3 years ago
Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms
Hunter-Best [27]

Answer:

a) 10th term is 0.051

b) The sum of first 18 terms of given sequence is 51.48

Step-by-step explanation:

We are given the sequence 26, 13, 6.5, ..... we need to find

a) 10th term

b) Sum of first 18 terms

Before solving we need to determine if the sequence is arithmetic or geometric

The sequence is arithmetic if common difference d is same.

The sequence is geometric if common ratio r is same.

Finding common difference d: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5

As common ratio is same so, the sequence is geometric.

a) Finding common difference: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

a) 10th term

The formula to find 10th term is: a_n=a_1r^{n-1}

We have a₁=26 and r = 0.5 n=10

a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051

So, 10th term is 0.051

b) Sum of first 18 terms

The formula to find sum of geometric series is: S_n=\frac{a(1-r^n)}{1-r}

where a= 1st term, r = common ratio and n= number of terms

In the given sequence we have

a=26, r=0.5 and n=18

Finding sum of first 18 terms

S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48

So, sum of first 18 terms of given sequence is 51.48

6 0
3 years ago
Which of the following expressions could be interpreted as "a number times negative seven added to five equals two"?
masha68 [24]

Answer:

5-7 x = 2

Step-by-step explanation:

a number times negative seven added to five equals two

7 0
3 years ago
Read 2 more answers
7 times the number of cookies in the jar plus 5 more from the tray is 54. How many cookies are in the jar?
Digiron [165]

Answer:

The number of cookies in the jar is 7.

If we include the 5 cookies from the tray in the jar the total number of cookies would be 5 + 7 = 12

Step-by-step explanation:

<em>Consider the number of cookies in the jar as 'x'. Hence the equation formed would be:-</em>

7(x) + 5 = 54

7x + 5 = 54

7x = 54 - 5

7x = 49

x = \frac{49}{7}

x = 7

The number of cookies in the jar is 7.

If we include the 5 cookies from the tray in the jar the total number of cookies would be 5 + 7 = 12

<em>Hope this helps.</em>

8 0
2 years ago
What is the value of x?<br>23<br>35<br>58<br>93
katen-ka-za [31]
X is 35, if you follow the rules of alternate angles
4 0
3 years ago
Read 2 more answers
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