<span><span>y=−<span>x2</span>+2x−7</span><span>y=-<span>x2</span>+2x-7</span></span>Complete the square on the right side of the equation.Tap for more steps...<span><span>−<span><span>(x−1)</span>2</span>−6</span><span>-<span><span>(x-1)</span>2</span>-6</span></span>Reorder the right side of the equation to match the vertex form of a parabola.<span><span>y=−<span><span>(x−1)</span>2</span>−6</span><span>y=-<span><span>(x-1)</span>2</span>-6</span></span>Use the vertex form, <span><span>y=a<span><span>(x−h)</span>2</span>+k</span><span>y=a<span><span>(x-h)</span>2</span>+k</span></span>, to determine the values of <span>aa</span>, <span>hh</span>, and <span>kk</span>.<span><span>a=−1</span><span>a=-1</span></span><span><span>h=1</span><span>h=1</span></span><span><span>k=−6</span><span>k=-6</span></span>Find the vertex <span><span>(h,k)</span><span>(h,k)</span></span>.<span><span>(1,−6)</span><span>(1,-6)</span></span>
If you want the expression, the expression would be:
3.5x+50
The correct
answer is 156
Answer:
11.25 cups of water is needed to cook 5 cups of Beans.
Step-by-step explanation:
Given:
The amount of water required varies directly with the cups of beans.
2 cups of beans require 4.5 cups of water.
we need to find how many cups of water are needed to prepare 5 cups of beans.
4.5 cups of water =2 cups of bean
Number of cups of water = 5 cups of bean.
Now Using Unitary method for solving above we get,
Number of cups of water required = 
Hence 11.25 cups of water is required to prepare 5 cups of beans.
By using <em>algebra</em> properties and <em>trigonometric</em> formulas we find that the <em>trigonometric</em> expression
is equivalent to the <em>trigonometric</em> expression
.
<h3>How to prove a trigonometric equivalence by algebraic and trigonometric procedures</h3>
In this question we have <em>trigonometric</em> expression whose equivalence to another expression has to be proved by using <em>algebra</em> properties and <em>trigonometric</em> formulas, including the <em>fundamental trigonometric</em> formula, that is, cos² x + sin² x = 1. Now we present in detail all steps to prove the equivalence:
Given.
Subtraction between fractions with different denominator / (- 1) · a = - a.
Definitions of addition and subtraction / Fundamental trigonometric formula (cos² x + sin² x = 1)
Definition of tangent / Result
By using <em>algebra</em> properties and <em>trigonometric</em> formulas we conclude that the <em>trigonometric</em> expression
is equal to the <em>trigonometric</em> expression
. Hence, the former expression is equivalent to the latter one.
To learn more on trigonometric equations: brainly.com/question/10083069
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