Which expression is equivalent to 4y (y + 3) + 4 ( y − 3)? A 5y2 + 26y – 12 B 5y2 + 2y – 12 C 12y2 + 12y – 24 D 12y2 + 2y – 24

Mathematics

1 answer:

Nady [450]3 years ago

7 0

Answer:

4y (y + 3) + 4 ( y − 3)

4y^2 + 12y + 4y -12

4y^2 + 16y -12

Step-by-step explanation:

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Solve for x. A) 11 B) 9 C) 6 D) 7

DIA [1.3K]

Answer:

Step-by-step explanation:

Angle BCA is inscribed in that circle. The rule is that the inscribed angle is half the measure of the arc it intercepts. The arc it intercepts is arc AB which measures 96 degrees. That means that

$4x+4=\frac{1}{2}(96)$ and

4x + 4 = 48 and

4x = 44 so

x = 11

Choice A is the one you want.

8 0

3 years ago

Emma is making a recipe that needs 2 1/2 cups of sugar. Each

IrinaVladis [17]

The given partial fraction divided by the fraction of sugar in a scoop is

equal to multiplying the partial fraction by the reciprocal of the fraction.

The number of scoops of sugar needed is 10 scoops.

Reasons:

The amount of sugar the recipe Emma is making needs = 2 1/2 cups

Amount of sugar in each scoop of sugar = 1/4 cups

Required:

The amount of scoops Emma needs to add for the entire recipe

Solution:

The amount of sugar needed = 2 1/2 cups

Amount of sugar per scoop = 1/4 cups/scoop

Therefore;

$\displaystyle Number \ of \ scoops = \mathbf{\frac{Cups \ of \ sugar \ needed}{Cups \ of \ of \ sugar \ per \ scoop}}$

Which gives;

$\displaystyle Number \ of \ scoops \ needed = \mathbf{\frac{2 \frac{1}{2} \ cups \ of \ sugar }{\frac{1}{4} \ cups \ of \ sugar \ per \ scoop}}$

$\displaystyle 2 \frac{1}{2} = \frac{5}{2}$

$\displaystyle \frac{ \frac{5}{2}}{\frac{1}{4} } = \mathbf{ \frac{5}{2} \times \frac{4}{1} = \frac{20}{2 }} = 10$

Therefore;

$\displaystyle Number \ of \ scoops \ needed = \mathbf{\frac{2 \frac{1}{2} \ cups \ of \ sugar }{\frac{1}{4} \ cups \ of \ sugar \ per \ scoop}} = 10 \, scoops$