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3 years ago

Give the y-intercept of the function f(x)=x^3 + 5x^2 - 3x+3

Mathematics

2 answers:

Umnica [9.8K]3 years ago

4 0

Answer:

(0,3)

Step-by-step explanation:

$y=(0)^3+5(0)^2-3(0+3)$

$y=0+0+0+3$

$y=3$

stepladder [879]3 years ago

3 0

Answer:
Y-intercept (0,-20)

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Select all the equations

Harlamova29_29 [7]

Answer:

is the correct answer

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3 years ago

Rewrite in simplest terms: -2(5d-9f)+7f-10(-9f-7d)

Afina-wow [57]

Answer:

= 5 ( 12d + 23f )

Step-by-step explanation:

-2(5d-9f)+7f-10(-9f-7d

Open parenthesis

= -10d + 18f + 7f + 90f + 70d

Collect like terms

= -10d + 70d + 18f + 7f + 90f

= 60d + 115f

Factorise

= 5 ( 12d + 23f )

Therefore,

-2(5d-9f)+7f-10(-9f-7d) in its simplest form is 5 ( 12d + 23f )

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2 years ago

When considering order of operations (PEMDAS), addition will ALWAYS come before subtraction.

Sergeeva-Olga [200]

Parenthises

Exponent

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The answer is true because it comes before subtraction in the phrase PEMDAS.

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3 years ago

Read 2 more answers

For her presentation on the Wonders of the World, Mary baked a square pyramid-shaped cake as pictured below. The slant height of

mihalych1998 [28]

Answer:

$V=196in^3$

Step-by-step explanation:

The volume of a pyramid is:

$V=\frac{A_{b}h}{3}$

where $A_{b}$ is the area of the base and $h$ is the height (the perpendicular measurement between base and highest point, not the slant height)

Since the base is a square, the area is given by:

$A_{b}=l^2$

where $l$ is the length of the side: $l=8in$ , thus:

$A_{b}=(8in)^2\\A_{b}=64in^2$

Now we need to find the height, for this we use the right triangle that forms with half of a square side (8in/2 = 4in), the slant height (10in), and the height.

In this right triangle, the slant height is the hypotenuse, the leg 1 is the unknown height, and leg 2 is half of the square side.

Using pythagoras:

$hypotenuse^2=leg1^2+leg2^2$

substituting our values, and indicating that leg 1 is height h:

$(10in)^2=h^2+(4in)^2$

$100in^2=h^2+16in^2$

and solving for the height:

$h^2=100in^2-16in^2\\h^2=84in^2\\h=\sqrt{84in^2}\\ h=9.165in$

and finally we calculate the volume using this height and the area of the base:

$V=\frac{A_{b}h}{3}$

$V=\frac{(64in^2)(9.165in)}{3} \\V=195.5in^3$

rounding to the nearest cubic inch: $V=196in^3$

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3 years ago

What are three ordered pairs that have a proportional relationship

MaRussiya [10]

1-3
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3 years ago