Answer:
x < 293 / 700
Step-by-step explanation:
−35x + 15 > 7/20
Multiplying all through by 20
-700x + 300 > 7
-700x > 7 - 300
-700x > -293
Divide all through by 700
- x > - 293 / 700
Multiply all through by -
x < 293 / 700
Answer:
1) 
2) Option C.
3) Option B.
Step-by-step explanation:
1. You must apply the Distributive property as following:
2. Now, you must distribute the negative sign, then you have:
3. Finally, you must add the like terms. Then you obtain the polynomial:
4. By definition, a polynomial that has two terms is classified as a binomial. Therefore, the answer is the option C.
5. The degree of a polynomial is determined by highest exponent of the variable. So, it is a polynomial of degree 2 (option B).
Answer:
x = - 8, x = 2
Step-by-step explanation:
Given
f(x) = x² + 6x - 16
To find the x- intercepts equate f(x) to zero, that is
x² + 6x - 16 = 0 ← in standard form
(x + 8)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 2 = 0 ⇒ x = 2
Answer:
Step-by-step explanation:
We want to evaluate
We use special angles or the unit circle to obtain;
This implies that;
I will solve your system by substitution.<span><span>x=<span><span>3y</span>−1</span></span>;<span><span><span>5x</span>−<span>7y</span></span>=19</span></span>Step: Solve<span>x=<span><span>3y</span>−1</span></span>for x:Step: Substitute<span><span>3y</span>−1</span>forxin<span><span><span><span>5x</span>−<span>7y</span></span>=19</span>:</span><span><span><span>5x</span>−<span>7y</span></span>=19</span><span><span><span>5<span>(<span><span>3y</span>−1</span>)</span></span>−<span>7y</span></span>=19</span><span><span><span>8y</span>−5</span>=19</span>(Simplify both sides of the equation)<span><span><span><span>8y</span>−5</span>+5</span>=<span>19+5</span></span><span>(Add 5 to both sides)
</span><span><span>8y</span>=24</span><span><span><span>8y</span>8</span>=<span>248</span></span>(Divide both sides by 8)<span>y=3</span>Step: Substitute3foryin<span><span>x=<span><span>3y</span>−1</span></span>:</span><span>x=<span><span>3y</span>−1</span></span><span>x=<span><span><span>(3)</span><span>(3)</span></span>−1</span></span><span>x=8</span><span>(Simplify both sides of the equation)</span><span>
x=<span><span>8<span> and </span></span>y</span></span>=3
