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3 years ago

B + 11 = -12 solve for b=

Mathematics

2 answers:

SCORPION-xisa [38]3 years ago

5 0

B+11=-12
b+11-11=-12–11
b=-23

exis [7]3 years ago

3 0

B=-23
explanation: -12-11=-23 put -23 into equation -23+11=-12

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How many real roots does the function

icang [17]

Answer:

Option C is correct i.e. 2.

Step-by-step explanation:

Given the function is f(x) = x² +8x -2.

We can compare it with general quadratic expression i.e. ax² +bx +c.

Then a = 1, b = 8, c = -2.

We can find the number of real root by finding discriminant of the equation ax² +bx +c =0 as follows:-

D = b² -4ac

D = 8² -4*1*-2

D = 64 +8

D = 72.

When D is a positive value, then we have two real roots of the equation.

Hence, option C is correct i.e. 2.

6 0

2 years ago

The number of hours required to do a job varies inversely as the number of people working. It takes 8 hours for 4 people to pain

dezoksy [38]

Answer: it will take 5 people 6.4 hours to do the work.

Step-by-step explanation:

The number of hours required to do a job varies inversely as the number of people working. Let h represent the number of hours required to do the job. Let p represent the number of people working. Therefore,

h is inversely proportional to p

Introducing a constant of variation, k, it means that

h = k/p

It takes 8 hours for 4 people to paint the inside of a house. Therefore

8 = k/4

k = 8×4 = 32

The formula becomes

h = 32/p

To determine how many hours it will take 5 people to do the work, we will substitute p = 5 into the formula. It becomes

h = 32/5 = 6.4 hours

7 0

3 years ago

Use substitution to solve the following system of equations. Show all of your work. Write the solution as an ordered pair.

trapecia [35]

Answer:

$\left \{ {{x=2} \atop {y=2}} \right.$

Step-by-step explanation:

Substitute the second equation into the first one:

$4x+(2x-2)=10\\6x-2=10\\6x=12\\x=2$

Substitute $x=2$ into the second equation:

$y=2\times 2-2\\y=4-2\\y=2$

$\therefore \left \{ {{x=2} \atop {y=2}} \right.$

3 0

2 years ago

X^2-12x+36=0

kari74 [83]

This expression is a perfect square trinomial. It has two answers but they don't have to be different. In this case it has to be the same - because it is a perfect square trinomial.

6 0

3 years ago

Read 2 more answers

When Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used t

zloy xaker [14]

Answer:

The amount of flour Mrs.Stewart needs for 5 cups of shortening $=\frac{75}{4} =18\tfrac{3}{4}$ cups.

Step-by-step explanation:

Mrs.Stewart pie dough needs $\frac{2}{3}$ cups of shortening for $2\tfrac{1}{2}=\frac{5}{2}$ cups of flour.

Now we assume that the shortening needed for $x$ cups of flour is $y$ cups.

Accordingly we can arrange the ratios.

So for one cup of shortening how many cups of flour is needed we have to use the unitary method:

$\frac{cups\ of flour\ (x)}{cups\ of\ shortening\ (y)} =\frac{x}{y} =\frac{5/2}{2/3}$

Plugging the value of $y=5$ as it is number of cups of shortening Mrs.Stewart have used.

And multiplying both sides with $5$ .

Number of cups of flour needed when $5$ cups of shortenings are used $(x) =\frac{x}{y} =\frac{5/2}{2/3}$ .

So, $(x)=\frac{5\times 3\times 5}{2\times 2} =\frac{75}{4} = 18\tfrac{3}{4}$

The amount of floor Mrs.Stewart needed for $5$ cups of shortening $= 18\tfrac{3}{4}\$ cups of floor.

3 0

3 years ago