Answer:
1 or 2
Step-by-step explanation:
8x + 4x < 36
the number x could either be 1 or 2
They are the same slope
they are negative inversees (they multily to get -1)
2
-1/2
use the square viewer (on TI)
The relationship between the slopes of two lines that are parallel is they are the same.
The relationship between the slopes of two lines that are perpendicular is they are negative inverses of each other (they multiply to -1).
A line that is parallel to a line whose slope is 2 has slope 2.
A line that is perpendicular to a line whose slope is 2 has slope -1/2.
What must be done to make the graphs of two perpendicular lines appear
to intersect at right angles when they are graphed using a graphing
utility?
Answer:
1. ¹⁰/₁₂ and ⅚;
2. ⁸/₁₂ and ⁴/₆;
3. ⁶/₁₂ and ³/₆
Step-by-step explanation:
The question is asking what fractions of 12 are equivalent to fractions of some smaller number.
Derek cut his pizza into 12 slices. Let's say that Ryan cut his into 6 slices.
Scheme 1
Derek eats 10 slices, and Ryan eats 5 (Fig A
)
Then Derek has eaten ¹⁰/₁₂ = ⅚ of a pizza and Ryan has eaten ⅚ of a pizza.
They each have ⅙ of a pizza left over.
The fractions here are ¹⁰/₁₂ and ⅚.
Scheme 2
Derek eats 8 slices, and Ryan eats 4 (Fig. B)
Then Derek has eaten ⁸/₁₂ = ⅔ of a pizza and Ryan has eaten ⁴/₆ = ⅔ of a pizza.
They each have ⅓ of a pizza left over.
The fractions here are ⁸/₁₂ and ⁴/₆.
Scheme 3
Derek eats 6 slices, and Ryan eats 3 (Fig. C)
Then Derek has eaten ⁶/₁₂ = ½ of a pizza and Ryan has eaten ³/₆ = ½ of a pizza.
They each have ½ of a pizza left over.
The fractions here are ⁶/₁₂ and ³/₆.
Answer:
H0 : μd = 0
H1 : μd > 0
Step-by-step explanation:
The scenario described above can be compared statistically using a paired test mean as the mean if the two groups are dependent, the two restaurants, Albuquerque and Santa Fe are both restaurant locations of a single restaurant company. Hence, to test the mean difference, we use the paired test statistic. Defined thus `
Null hypothesis ; H0 : μd = 0 and the Alternative hypothesis ; H1 : μd > 0
Step-by-step explanation:
Read the poem. excerpt from “Spring” by Christina Rossetti Frost-locked all the winter, Seeds, and roots, and stones of fruits, What shall make their sap ascend That they may put forth shoots? Tips of tender green, Leaf, or blade, or sheath; Telling of the hidden life That breaks forth underneath, Life nursed in its grave by Death. Which line from the poem contributes most to a hopeful tone? "Telling of the hidden life" "Frost-locked all the winter," "Life nursed in its grave by Death." "What shall make their sap ascend"