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2 years ago

Which point is an x-intercept of the quadratic function f(x) = (x – 4)(x + 2)? (–4, 0) (–2, 0) (0, 2) (4, –2)

2 answers:

5 0

f(x) = (x – 4)(x + 2),
x-intercept means that f(x) = 0.

0 = (x-4)(x+2)
(x-4)=0, x= 4, point (4,0)
(x+2)=0, x = -2, point (-2,0)

This graph has 2 x-intercepts: (4,0) and (-2,0).

From given answers we can choose only (-2,0).

mel-nik [20]2 years ago

3 0

Answer:

The answer is (–2, 0)

I just took the quiz

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Two friends sold many pieces of furniture and made $1550 during their garage sale. They had fifteen more $10 bills than $50 b

Novosadov [1.4K]

Answer:

The number of $ 10 bills is 37, the number of $ 20 is 6 and the number of $ 50 bills is 22.

Step-by-step explanation:

Let n₁ = number of $ 10 bills,

Let n₂ = number of $ 20 bills and

Let n₃ = number of $ 50 bills

Given that 10n₁ + 20n₂ + 50n₃ = 1550 (1)

Also, since we have fifteen more $10 bills than $50 bills, n₁ = n₃ + 15 (2)

and we have 4 more than three times as many $20 bills as $50 bills. n₃ = 3n₂ + 4. (3)

substituting equations (2) and (3) into (1), we have

10(n₃ + 15) + 20n₂ + 50n₃ = 1550

expanding the bracket, we have

10n₃ + 150 + 20n₂ + 50n₃ = 1550

collecting like terms, we have

60n₃ + 150 + 20n₂ = 1550

inserting equation (3), we have

60(3n₂ + 4) + 150 + 20n₂ = 1550

expanding the bracket, we have

180n₂ + 240 + 150 + 20n₂ = 1550

collecting like terms, we have

200n₂ + 390 = 1550

subtracting 390 from both sides, we have

200n₂ = 1550 - 390

200n₂ = 1160

dividing both sides by 200, we have

n₂ = 1160/200

n₂ = 5.8

n₂ ≅ 6 since it cannot be a fraction.

Substituting this into (3), we have

n₃ = 3n₂ + 4 = 3(6) + 4 = 18 + 4 = 22

substituting n₃ into (2), we have

n₁ = n₃ + 15 = 22 + 15 = 37

So, the number of $ 10 bills is 37, the number of $ 20 is 6 and the number of $ 50 bills is 22.

3 0

2 years ago

The net of a rectangular prism is shown below.

Mamont248 [21]

Answer:

Step-by-step explanation:

Using a net to find the surface area of a rectangular prism

Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.

For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units. From the net, we can see that there are six equal faces and so we get the total surface area is 6 × 16 = 96 square units.

Surface Area of a Rectangular Prism using Nets

A rectangular prism or cuboid is formed by folding a net as shown −

Cuboid

We can see from the net that there are two rectangles with dimensions 3 cm by 6 cm, two rectangles with dimensions 2 cm by 6 cm and two rectangles with dimensions 2 cm by 3 cm. The total surface area is then

2 × 3 × 6 + 2 × 2 × 6 + 2 × 2 × 3 = 72 cm2

Example 1:

Find the surface area of the given rectangular prism in square cm.

Rectangular Prism in Square cm

Solution

Step 1:

Using net, the surface area of a rectangular prism

= 2lw+wh+lh; l = 6 ; w = 5; h = 3

Step 2:

Surface area of given prism = 26×5+6×3+3×5

= 230+18+15

= 126 square cm

Example 2:

Find the surface area of the given rectangular prism in square cm.

Rectangular Prism Square cm

Solution

Step 1:

Using net, the surface area of a rectangular prism

= 2lw+wh+lh; l = 5; w = 6; h = 4

Step 2:

Surface area of given prism = 25×6+5×4+6×4

= 230+20+24

= 148 square cm

6 0

2 years ago

Read 2 more answers

why is using the metric system superior to using the standard system of measurement... Please someone help I need this and I tri

PilotLPTM [1.2K]

Metric is used world-wide and is used everywhere except in english places (britan and USA)

some examples why metric is nice

base 10 system
1cm=10mm=0.1m=0.01km
1cm^3=1ml
1000cm^3=1L
1000ml=1L

0 C⁰=freezing tempurature
100 C⁰=boinling tempurature

in english
12in=1foot
3ft=1yd
16oz=1lb
8oz=1cup
3tsbs=1tbs
2c=1pt
2pt=1qt
4qt=1gal
32 F⁰=freezing
2hundred something=boiling

metric is nice because everything is in multiplules of 10

and also this exerpt from a book
"In metric, one milliliter of water occupies one cubic centimeter, weighs one gram, and requires one calorie of energy to heat up by one degree centigrade which is 1 per cent of the difference between its freezing point and its boiling point. An amount of hydrogen weighing the same amount has exactly one mole of atoms in it. Whereas in the American system the answer to 'How much energy does it take to boil a room-temperature gallon of water?' is go **** yourself because you can't directly relate any of those quantities "

7 0

2 years ago

In a parallelogram ABCD, angle a=70, find 2angle d

Natali [406]

Answer:

D = 110

Step-by-step explanation:

Given,

In a parallelogram ABCD,

∠A =70∘

∠A + ∠B = 180∘.. (supplementary angles)

∠B = 180∘ – 70∘ = 110∘

∠A = ∠C and ∠B = ∠D.. (Opposite angles of parallelogram)

∠A = 70∘, ∠B = 110∘, ∠C = 70∘, ∠D = 110

6 0

1 year ago

Read 2 more answers

PLEASE ANSWER ASAP!!!!!! CORRECT WILL GET BRAINLIEST!!

Reptile [31]

Is the answer probably going to be a or c? hope that helped

4 0

2 years ago