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Amanda [17]
3 years ago
9

Angeline bought s yards of satin fabric priced at $8. 09 per yard, and c yards of cotton fabric priced at $3. 79 per yard. Use a

n expression to determine the amount that Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric. Enter your answer in the box.
Mathematics
1 answer:
kow [346]3 years ago
5 0

Let represents the total cost. We know for our problem that each yard of satin fabric costs $8.09, so yards will cost . similarly, each yard of cotton fabric costs $3.79, so yards will cost . We can also infer that the total cost, , will be the sum of the yards of satin fabric and the yards of cotton fabric, so:

Now, to determine the amount that Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, we just need to replace and in our expression:

We can conclude that if Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, she would spend $70.77

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Find all real solutions to the equation (x² − 6x +3)(2x² − 4x − 7) = 0.
Jet001 [13]

Answer:

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ;  x = \frac{2-(3)\sqrt{2}}{2}

Step-by-step explanation:

Relation given in the question:

(x² − 6x +3)(2x² − 4x − 7) = 0

Now,

for the above relation to be true the  following condition must be followed:

Either  (x² − 6x +3) = 0 ............(1)

or

(2x² − 4x − 7) = 0 ..........(2)

now considering the equation (1)

(x² − 6x +3) = 0

the roots can be found out as:

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

for the equation ax² + bx + c = 0

thus,

the roots are

x = \frac{-(-6)\pm\sqrt{(-6)^2-4\times1\times(3)}}{2\times(1)}

or

x = \frac{6\pm\sqrt{36-12}}{2}

or

x = \frac{6+\sqrt{24}}{2} and, x = x = \frac{6-\sqrt{24}}{2}

or

x = \frac{6+2\sqrt{6}}{2} and, x = x = \frac{6-2\sqrt{6}}{2}

or

x = 3 + √6 and x = 3 - √6

similarly for (2x² − 4x − 7) = 0.

we have

the roots are

x = \frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-7)}}{2\times(2)}

or

x = \frac{4\pm\sqrt{16+56}}{4}

or

x = \frac{4+\sqrt{72}}{4} and, x = x = \frac{4-\sqrt{72}}{4}

or

x = \frac{4+\sqrt{2^2\times3^2\times2}}{2} and, x = x = \frac{4-\sqrt{2^2\times3^2\times2}}{4}

or

x = \frac{4+(2\times3)\sqrt{2}}{2} and, x = x = \frac{4-(2\times3)\sqrt{2}}{4}

or

x = \frac{2+3\sqrt{2}}{2} and, x = \frac{2-(3)\sqrt{2}}{2}

Hence, the possible roots are

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ; x = \frac{2-(3)\sqrt{2}}{2}

7 0
3 years ago
Mr. Robinson took a nap 12 out of the 15 days of his vacation what what percent of Mr. Robinsons vacation did he nap
jonny [76]

Answer:

80%

Step-by-step explanation:

convert to percent:

\frac{12}{15}*100 = 80 percent

8 0
2 years ago
Help me please (20 points) (2 questions) PLEASE (picture below)
Wittaler [7]
The first question is 2, 12, and 14 but i’m sorry i don’t know the second :(
7 0
3 years ago
Graph the line that passes through the points (6, 4)and (8, 8) and determine the equation of the line.
Lesechka [4]
Wow, what a coincidence, I just learned this at school today!
1. Slope
M= yb-ya/xb-xa
M= 8-4/8-6
M= 4/2
M= 2

2. Y-intercept
Y= mx + b
4 = (2)(6) + b
4 = 12 + b
4 = 12 + b
-12 = - 12 + b
-8 = b

Therefore, the equation is Y = 2x - 8
6 0
3 years ago
Select the correct answer.
musickatia [10]

Answer:

x = 0

Step-by-step explanation:

ln x + 5, similarily to ln x, has no right asymptote, because it goes to infinity (very slowly), but also any line y=ax+b raises faster than ln x for positive a.

It has a left asymptote though - ln x deacreases very fast as x approaches 0, so it has a vertical asymptote of x = 0.

3 0
3 years ago
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