1. Let's solve your equation step-by-step.
<span><span><span>4x</span>+5</span>=<span>6x
</span></span>Step 1: Subtract 6x from both sides.
<span><span><span><span>4x</span>+5</span>−<span>6x</span></span>=<span><span>6x</span>−<span>6x
</span></span></span><span><span><span>−<span>2x</span></span>+5</span>=0
</span>Step 2: Subtract 5 from both sides.
<span><span><span><span>−<span>2x</span></span>+5</span>−5</span>=<span>0−5
</span></span><span><span>−<span>2x</span></span>=<span>−5
</span></span>Step 3: Divide both sides by -2.
<span><span><span>−<span>2x/</span></span><span>−2 </span></span>=<span><span>−5/</span><span>−2
</span></span></span><span><span>
</span></span>Answer:<span>x=<span>5/<span>2</span></span></span>
-5.8 < 2.9, so -5.8 is colder than 2.9
Answer:
In order to sketch a parabola, one will typically use the y-intercept, the x-intercepts, and the vertex.
Step-by-step explanation:
In order to sketch a parabola, one will typically use the given equation in standard form, , and:
- The y-intercept – the point where the parabola crosses the vertical axis – by substituting 0 for all <em>x</em> values in the given equation and solving for <em>y</em>.
- The x-intercepts – the points where the parabola crosses the horizontal axis – by setting the given equation equal to 0 (i.e., <em>y</em> = 0) and finding the factors (or roots).
- The vertex – the point of symmetry where the parabola changes direction and curves up or down – by using to find the x-coordinate then plugging that value into the given equation to find the y-coordinate.
Answer:
This equation shows you how financial aid increases $3000 for every additional sibling, starting at $15,000.
Step-by-step explanation:
This equation means that for every sibling there is an additional $3000 in financial aid. When there are no siblings there is an automatic $15000 in financial aid.
Since you can't have "negative number" of siblings, the domain must begin with 0. You can have a lot of siblings, so let's put the end of domain as infinity.
Domain = [0, ∞)
If you substitute in this domain into the equation, the range will be the output. The least will be $15,000 and the most will be infinity as well.
Range = [15000, ∞)
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