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KengaRu [80]
3 years ago
7

Solve for b. -b - 19 = -3b – 9

Mathematics
1 answer:
8090 [49]3 years ago
3 0

Answer:

b=5

Step-by-step explanation:

-b - 19 = -3b – 9

Add 3b to each side

-b+3b - 19 = -3b+3b – 9

2b -19 = -9

Add 19 to each side

2b-19+19 = -9+19

2b = 10

Divide by 2

2b/2 =10/2

b=5

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1/3y=3<br> Find the value of y
Ivanshal [37]
Answer is 1/9
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6 0
3 years ago
While testing a new pesticide, an agricultural scientist uses two functions to predict the yields of two same-sized potato farms
Pepsi [2]

Answer:

A. h(x)= -5.86x^2 + 23.37x + 34

Step-by-step explanation:

If the scientist uses the same amount of pesticide on the two farms then the x's of the functions are the same.

Then, the combined yield h(x) of the two farms is just the yield of the first farm plus the yield of the second farm:

h(x)=f(x)+g(x).

Now, since

f(x)= -2.43x^2+10.37x+9

and

g(x)= -3.43x^2+13x+25,

then

h(x)= (-2.43x^2+10.37x+9)+(-3.43x^2+13x+25)

we add the coefficients of the  corresponding terms to get:

h(x)= (-2.43x^2-3.43x^2)+(10.37x+13x)+(9+25)

\boxed {h(x)=-5.86 x^2 + 23.37 x + 34.}

Which is choice A.

4 0
3 years ago
Kellen bought new fish for her home aquarium. She bought 4 turquoise guppies and 3 sunburst tetra GLO fish and spent a total of
FromTheMoon [43]

Answer: A single turquoise guppy costs $3.69

Step-by-step explanation:

Let us use "x" to represent the amount a single turquoise is sold and use "y" to represent that of the Glo fish.

Since Kellen bought 4 guppies and 3 glo fishes for $41.73:

4x + 3y = 41.73 --------eqn 1

Similarly, Danielle purchased 3 guppies and 5 Glo fish for $56.02:

Therefore 3x + 5y = $56.02 -----eqn2

The 2 equations are;

4x + 3y = 41.73 (eqn 1)

3x + 5y = 56.02 (eqn 2)

We then solve the simultaneous equations using substitution method:

From eqn 1,

4x + 3y = 41.73

4x = 41.73 - 3y

x = (41.73 - 3y)/4

Substitute x for (41.73 - 3y)/4 in eqn2.

3[(41.73 - 3y)/4 + 5y = 56.02

11y + 125.19 = 224.08

11y =98.89

y = 98.89/11

y = $8.99

So, 1 Glo fish costs $8.99

Then, substitute "y" for 8.99 in equation 1

4x + (3×8.99) = 41.73

4x + 26.97 = 41.73

4x = 41.73 - 26.97

4x = 14.76

x = 14.76/4

x = $3.69

Therefore 1 turquoise guppy costs $3.69

5 0
3 years ago
In Bayes Theorem, you have some starting information, then you collect some new information so that you can _______ the original
sp2606 [1]

In Bayes Theorem, apart from the already starting information, some new information so that you can update or transform the original probabilities so you now have better information.

What is Bayes Theorem?

The Bayes' theorem was named after Thomas Bayes and it is used in probability theory and statistics as one of the fundamental theorems. It estimates the likelihood of an event based on knowledge of circumstances that might be connected to it in the past.

The Formula for Bayes' Theorem

The Bayes' theorem is given as,

P(A|B) = P(A).P(B|A) / P(B)

Here, for two events A and B,

P(A|B) is the probability for likelihood of A when B is true

P(B|A) is probability for likelihood of B when A is true

P(A) is the independent probability of event A

P(B) is the independent probability of event B

Learn more about Bayes' theorem here:

brainly.com/question/17010130

#SPJ4

5 0
2 years ago
2. Jae creates a foot path in her front yard with two
aliina [53]

Answer:

10

Step-by-step explanation:

Just add them together also u have a lenovo chromebook

8 0
3 years ago
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