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Marina86 [1]
3 years ago
11

Question 3 (20points) Solve the quadratic equation using the quadratic -x2+8x=7

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
3 0

Answer:

x = 7 or x = 1

Step-by-step explanation:

For this equation: a=-1, b=8, c=-7

−1x2+8x+−7=0

Step 1: Use quadratic formula with a=-1, b=8, c=-7.

x=  ( −b±√b2−4ac )/2a

x= (−(8)±√(8)2−4(−1)(−7))/ (2(−1) )

x=  (−8±√36 )/-2

x=1 or x=7

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The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint
Vikki [24]

Answer:

a

Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint

b

The number is  x=  \frac{1}{3}

c

The price is P  = \$ 8

Step-by-step explanation:

From the question we are told that

   The ratio of  the number of cups of blue paint to the number of cups of red paint is  r  =  3: 1

Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint

Given that  1 cup of  red paint  =>   3 cups of blue paint

                 x cup of  red paint  =>  1  cup of  blue paint

So

         x=  \frac{1 *  1}{3}

=>      x=  \frac{1}{3}

Generally the unit price of a cup of blue paint is mathematically represented as

     P  =  \frac{48}{6}

=>  P  = \$ 8

     

4 0
3 years ago
Twice the sum of five and x is eight less than x
Anna007 [38]
We need to express this statement into a equation:

First of all. We will walk through the statement step by step into a mathematical language, so:

1. The sum of five and x:

x + 5

2. Twice the sum of five and x:

2(x + 5)

3. Eight less than x:

(x-8)

     Finally the whole statement is:

4. <span>Twice the sum of five and x is eight less than x:
</span>
2(x + 5) = (x-8)
2x + 10 = x - 8
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4 0
3 years ago
Let f(x)=x^2 and g(x)=(x-3)^2+7 match up the correct transormations that are needed to transform the graph of f(x) to the graph
pentagon [3]

The transformations are vertical translation 7 units up.horizontal translation 3 units to the left

We have given that the equations

let f(x)=x^2 and g(x)=(x-3)^2+7

We have to determine the correct transformation,

<h3>What is the vertical translation?</h3>

Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated to k units vertically by moving each point on the graph k units vertically.

Notice that the addition of 2 units to the variable x in the exponent involves a horizontal shift to the left in 2 units.

Notice as well that subtraction of 4 units to the functional expression involves a vertical shift downwards in 4 units.

To learn more about the transformation visit:

brainly.com/question/2689696

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5 0
1 year ago
The surface area of a jumbo sized rubiks cube is 294 square inches. Find the length of a lateral edge.
Svetlanka [38]

Answer:

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Step-by-step explanation:

The surface area of a cube is denoted by: A = 6s², where s is the side length.

Here, we know that A = 294, so plug this into the formula to solve for s:

A = 6s²

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s² = 49

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Thus, the answer is 7 inches.

4 0
3 years ago
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Nostrana [21]

Answer:

4,8,12 hope that helps heeeeheheʘ‿ʘ

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