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2 years ago

The product of two consecutive integers is 420 which quadratic equation can be used to find x the lesser number

Mathematics

1 answer:

Fynjy0 [20]2 years ago

5 0

Answer:

Step-by-step explanation:

If the smallest number is 'x', then the other number = x +1

x*(x+1)= 420

Use distributive property

x*x + x*1 = 420

x² + x - 420 =0 ------> this is the required quadratic equation.

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The table below shows a baseball player’s batting average batting left and right versus left- and right-handed pitches Left-hand

Assoli18 [71]

Answer:

C. 11 is the correct answer

Step-by-step explanation:

The table representing the probabilities of player's batting average is,

Left-Handed pitchers Right-Handed pitchers

Bats Left 0.285 0.175

Bats Right 0.215 0.250

So, when the players bats left 100 times,

The probability of hits he gets when faced by left-handed pitchers = 0.285 × 100 = 28.5

The probability of hits he gets when faced by right-handed pitchers = 0.175 × 100 = 17.5

Thus, the difference in the hits = 28.5 - 17.5 = 11

Hence, the player will get 11 more hits t when he faces left-handed pitchers as opposed to right-handed pitchers.

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2 years ago

There are 53 students on the Jackson Middle School basketball teams. The number of 8th graders is 15 fewer than three times the

pshichka [43]

Answer:

The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36

Step-by-step explanation:

Let

x ----> the number of 7th students on the Jackson Middle School basketball teams

y ----> the number of 8th students on the Jackson Middle School basketball teams

we know that

There are 53 students on the Jackson Middle School basketball teams

$x+y=53$ -----> equation A

The number of 8th graders is 15 fewer than three times the number of 7th graders

$y=3x-15$ ----> equation B

substitute equation B in equation A

$x+(3x-15)=53$

solve for x

$x+3x=53+15\\4x=68\\x=17$

Find the value of y

$y=3(17)-15=36$

therefore

The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36

6 0

2 years ago

Read 2 more answers

In the diagram, DG = 12, GF = 4, EH = 9, and HF = 3. Triangle D E F is shown. Line G H is drawn parallel to side D E within the

Komok [63]

Answer:

<DFE is congruent to <GFH

Step-by-step explanation:

you need an angle to prove SAS and <DFE is congruent to <GFH

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2 years ago

g A sailing ship stopped at several islands, releasing one mating pair of goats onto each one. On the large island, the goats' g