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Thepotemich [5.8K]
3 years ago
5

A student created a table of values to help solve the following equation: y =4x +24 and y = 2x+6...what x-value is a solution to

the equation?
Mathematics
1 answer:
Yuki888 [10]3 years ago
6 0

Answer:

x = negative 9 or x=-9

Step-by-step explanation:

4x+24=2x+6. We can subtract 6 from both sides to get    

4x+18=2x. After that, we can switch the sides to get    

2x-18=4x, so negative 18 (-18) is equivalent to 2x. We get

2x=-18, divide both sides by 2 to get x=(-9).

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52s + 30b because 52 x s + 30 x b = 52s + 30b
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3 years ago
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What is the equation of the parabola in vertex form with vertex (2,-4) and directrix y=-6​
Pachacha [2.7K]

Answer:

y=\dfrac{1}{8}(x-2)^2-4

Step-by-step explanation:

The directrix y=-6 is parallel to the x axes, so parabola has equation of the form

(x-x_0)^2=2px(y-y_0),

where (x_0,y_0) is the vertex of parabola and p is parabola's parameter.

By the definition, \frac{p}{2} is the distance from the vertex to the directrix, so

\dfrac{p}{2}=2\Rightarrow p=4

Hence, the equation of parabola is

(x-2)^2=8(y+4)

See attached diagram for the graph of parabola and its directrix.

In vertex form this equation is

y=\dfrac{1}{8}(x-2)^2-4

8 0
3 years ago
I NEED HELP PLS
Brut [27]

Answer:

114.5 in³

Step-by-step explanation:

Volume of cone:

⅓ × 3.14 × 8² × 12

= 803.84 cm³

Volume of hemisphere:

⅔ × 3.14 × 8³

= 1071.786667 cm³

Total = 803.84 + 1071.786667

= 1875.626667 cm³

1 cm = 0.393701 inches

1 cm³ = 0.393701³ inches

Volume in in³:

1875.786667/0.393701³

= 114.4579471 in³

6 0
3 years ago
sheldon bought 4 1/2 kg of plant food. he uses 1 2/3 kg on his strawberry plant and used 1/4 kg for his tomato plant. how many k
fenix001 [56]

Answer:

Sheldon have left 2\frac{7}{12}\ kg of food.

Step-by-step explanation:

Quantity of food = 4\frac{1}{2}=\frac{9}{2} kg

Quantity used on strawberry plant = 1\frac{2}{3} = \frac{5}{3}\ kg

Quantity used on tomato plant = \frac{1}{4}\ kg

Food left = Total - used on strawberry - used on tomato

Food left = \frac{9}{2}-\frac{5}{3}-\frac{1}{4}

Food left = \frac{54-20-3}{12} = \frac{31}{12}

Food left = 2\frac{7}{12}\ kg

Therefore,

Sheldon have left 2\frac{7}{12}\ kg of food.

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3 years ago
Write 434 hundredths as a decimal
Vedmedyk [2.9K]

Answer:

.434

Step-by-step explanation:

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3 years ago
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