Sierra used 4 pears and 12 apples to make a fruit salad. What is the

Mathematics

1 answer:

jolli1 [7]3 years ago

6 0

Answer: 1:3

Step-by-step explanation: for every pear she uses 3 apples

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3) The foot of a ladder is 1.2 m from a fence

VashaNatasha [74]

Answer: $4.5\ meters$

Step-by-step explanation:

Using the data given in the exercise, we can draw the diagram attached, where "h" is the height of the building reached by the top of the ladder.

Notice that there are two similar triangles.

So, you can set up the following proportion:

$\frac{1.8}{1.2}=\frac{h}{(1.2+1.8)}$

Finally, in order to calculate the height on the building reached by the top of the ladder, you must solve for "h".

Therefore, the value of "h" is :

$\frac{1.8}{1.2}=\frac{h}{3}\\\\(3)(\frac{1.8}{1.2})=h\\\\\frac{5.4}{1.2}=h\\\\h=4.5$

5 0

3 years ago

The function f(x) is a quadratic function and a limited table of values is provided below. Write the equation of the quadratic p

OverLord2011 [107]

Answer:

f(x) = 3x^2 -21x +36

Step-by-step explanation:

The table gives the x- and y-intercepts, which are sufficient to write the equation in factored form. The x-intercepts of 3 and 4 tell you that factors are (x -3)(x -4). When x=0, this product is (-3)(-4) = 12, but the y-intercept value is 3 times that: 36. So, the factored equation is ...

f(x) = 3(x -3)(x -4)

Multiplying this out, we get ...

f(x) = 3(x^2 -7x +12)

f(x) = 3x^2 -21x +36