Answer:
5 is less than or equal to 5/2x+5
Step-by-step explanation:
It is less than or equal to because the shaded part is below the line and the line is solid.
Distribute, so 5z+28+9z, then subtract 5z, and you get 4z=28. Divide by 4 so x=7
Answer:
- First choice: <u><em>n² + n - 210 = 0</em></u>
Explanation:
1) If you use n to name the smaller number of two integer numbers, then the next consecutive number is n + 1.
2) The product of those two numbers is n × (n + 1) = n (n + 1).
3) Half of that product is n (n + 1) / 2.
And the question states that thas is equal to 105, so the equation becomes:
4) n (n + 1) / 2 = 105
Now you have to simplify that equation until you have an expression equal to one of the choices:
5) Simplification:
- Multiply both sides by 2: n (n + 1) = 210
- Distributive property on the left side: n² + n = 210
- Subtract 210 from both sides: n² + n - 210 = 0
And that is the first choice, so you have your answer.
Step-by-step explanation:
Step 1: <em>Calculate per apartment;</em>
<em>⟼</em> 228,000 ÷ 24
⟼ 9,500
Step 2: <em>Multiply the price per apartment by 10;</em>
⟼ 9,500 × 10
⟼ 95,000
Step 3: <em>Substract the amount of 10 apartments from 24 apartments.</em>
<em>⟼</em><em> </em>228,000 - 95,000
⟼ 133,000
<u>Therefore, </u>$133,000 is still available for the remaining apartments.
Step-by-step explanation:
<u>Step 1: Factor the equation</u>
<u>Step 2: Find the x-intercepts of the graph of f(x)</u>
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<u>Step 3: Describe the end behavior of the graph of f(x)</u>
Since the function is to the power of 2, that means that it is a parabola. And since the leading coefficient is negative, means that the arrows will be pointing down therefore, the end behavior of this graph is as x goes to infinity, f(x) goes to negative infinity and as x goes to negative infinity, f(x) goes to negative infinity.
<u>Step 4: What are the steps you would use to graph f(x)</u>
The first step that I would do is factor the equation. Then I would find the x-intercepts of the graph and plot them on the graph. I would then plug in 0 for all of the x values to get the y intercept. After doing that I would get the vertex using the vertex formula plotting it on the graph. Finally, I would connect all of the dots together to form the graph of the equation.