Answer:
Step-by-step explanation:
<u>Question 1</u>
<u>Part (a)</u> :
⇒ 6 × 6 × 6 × 6 × 6 × 6 × 6 = 6ˣ
⇒ 6⁷ = 6ˣ
⇒ x = 7
<u>Part (b)</u> :
⇒ y² = 169
⇒ √y² = √169
⇒ y = ± 13
⇒ y = 13, y = -13
<u>Question 2</u>
<u>Part (a)</u> :
⇒ (√5)² × (√3)²
⇒ 5 × 3
⇒ 15
<u>Part (b)</u> :
⇒ (∛9)³ × (√30)²
⇒ 9 × 30
⇒ 270
Answer:
Step-by-step explanation:
First find the equations of the lines, then fill in the proper inequality sign. The upper line has a y-intercept of 1 and a slope of 1/2, so the equation, in slope-intercept form is
Since the shading is below the line, the inequality sign is less than or equal to. The inequality, then, is
But the solutions are in standard form, so let's do that:
AND they do not like to lead with negatives, apparently, so let's change the signs and the way the inequality is facing, as well:
Let's do the sae with the lower line. The equation, in slope-intercept form is
since the slope is 3/2 and the y-intercept is -3. Now, since the shading is above the line, the inequality is greater than or equal to:
In standard form:
and not leading with a negative gives us
Those 2 solutions are in choice B, I do believe.
