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2 years ago

Please answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!

Mathematics

1 answer:

VLD [36.1K]2 years ago

8 0

Answer:

x = -3/2 x =0

Step-by-step explanation:

(2x+3) ^2 - 6x-9 = 0

Factor out -3 from the last 2 terms

(2x+3) ^2 - 3( 2x+3) = 0

Let m = 2x+3

m^2 - 3m = 0

Factor out m

m(m-3) =0

Using the zero product property

m=0 m-3 =0

m=0 m=3

Substitute 2x+3 back in for m since we are looking for the value of x

2x+3 =0 2x+3 =3

2x +3-3=0-3 2x+3-3=3-3

2x = -3 2x=0

x = -3/2 x =0

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write an equation to find the number of students in mr.boggs homeroom if the total number of stdents is 90

prohojiy [21]

The number of students in Mr. Boggs’s homeroom is equal to b. Add the total number of students in each class and set it equal to 90.

90 = b + 1.5(b + 2) + 15 + (2b – 9)

Use the Distributive Property, and collect like terms. 90 = b + 1.5b + 3 + 15 + 2b – 9

90 = 4.5b + 9

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2 years ago

There are 10 cranberry and 15 strawberry juices. You randomly pick two juices. What's the probability you'll get two strawberry

lorasvet [3.4K]

Answer:

7/20

Explanation:

The theoretical probability, P (A), of an event, A, is:

P(A) = number of outcomes of event A / total number of possible outcomes

For 10 cranberry and 15 strawberry juices, the number of outcomes for two strawberry juices are:

Combination of 15 strawberry juices chosen in two:

$C^{15}_{2}=\frac{15!}{(15-2)!(2!)}=\frac{15!}{13!2!}=\frac{15\times 14}{2}=105$

The total number of possible outcomes is:

Combination of 25 juices chosen in two:

$C^{25}_{2}=\frac{25!}{(25-2)!(2!)}=\frac{25!}{23!2!}=\frac{25\times 24}{2}=300$

Thus, the probability of randomly picking two strawberry juices is:

P (two strawberry juices) = 105/300 = 7/20

Note that you can obtain it as the product of the probabilities that the first juice is a strawberry juice and the second juice is also strawberry juice:

$15/25\times 14/24=(15\times 25)/(14\times 24)=210/600=7/20$

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2 years ago

OLLEGE

Sophie [7]

Part 1

$(f\circ g)(x)=f(\sqrt{x})=4\sqrt{x}+1$

We need to make sure the radical is defined, meaning the radicand has to be non-negative. Thus, the domain is $\boxed{[0, \infty)}$

Part 2

$(g \circ f)(x)=g(4x+1)=\sqrt{4x+1}$

We need to make sure the radical is defined, meaning the radicand has to be non-negative. Thus,

$4x+1 \geq 0\\\\4x \geq -1\\\\x \geq -\frac{1}{4}$

Thus, the domain in interval notation is $\boxed{\left[-\frac{1}{4}, \infty)}$

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1 year ago

Find two numbers that you can multiply to get a product of 0.56. 0.6 0.7 0.8 0.9 6 7 8 9

Marina86 [1]

Answer:

0.7 and 0.8

Step-by-step explanation:

First you have to use your multiplication table, find out how much equals to 0.56 to make it easer just remove the zero and decimal point for example: 0.56 - 56 then divide it using all numbers. i divided it by 0.8 and is there that number yes and then i got 0.7 and that number is there too.

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2 years ago

Graph the following equation: y = 5

Irina-Kira [14]

If you graphed the equation: y = 5

You would put a straight line going horizontally through 5. Like this picture shows. If it were x = 5, for example, then it would go up and down through 5.

Let me know if this helped! Have a nice day!

6 0

2 years ago

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