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3 years ago

-5+|-15÷(-5) |2(-5)

Mathematics

1 answer:

pav-90 [236]3 years ago

7 0

Answer:

The value of this expression is -35.

Step-by-step explanation:

Let's use the order of operations (PEMDAS), to solve this problem.

$-5+|-15/-5|*2*(-5)\\-5+3*-10\\-5+-30\\-35$

In conclusion, the value of this expression is -35. Hope this helped :D

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A quadratic function is defined by

ella [17]

Answer:

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

Step-by-step explanation:

The given quadratic function is given in vertex form, y = a·(x - h)² + k, as follows;

g(x) = (x + 4)² + 7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c

c = k + a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

5 0

3 years ago

Help asap! with all 6 questions!!! Due today

Gennadij [26K]

Answer:

Step-by-step explanation:

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7 0

3 years ago

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DedPeter [7]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Find the measure of Angle B A. 50° B. 55° C. 60° D. 65°

kondaur [170]

Option B. 55° is the correct answer

Step-by-step explanation:

"The sum of interior angles of a triangle is always 180°"

Given

m∠A=(3x+1)°

m∠B=(2x-1)°

m∠C = 40°

We know that

m∠A+m∠B+m∠C=180°

Putting the values of angles

$(3x+1) +(2x-1) +40 = 180\\3x+1+2x-1+40 = 180\\5x+40=180\\$

Subtracting 40 from both sides

$5x+40-40=180-40\\5x=140$

Dividing both sides by 5

$\frac{5x}{5} = \frac{140}{5}\\x=28$

We have to find Angle B,

m∠B = 2x-1 = 2(28)-1 = 56-1 = 55°

Hence,

m∠B=55°

Option B. 55° is the correct answer

Keywords: Triangle, Interior angles

Learn more about triangles at:

#learnwithBrainly

8 0

3 years ago

If y-3x=9, 7x+y=25, what is the value of x and y?

lianna [129]

$\bold{\rm{Given}}\text{ : If y - 3x = 9, 7x + y = 25, what is the value of x and y}?$

$\bold{\rm{Solution}} \text{: We'll solve this by substitution method}$

$\dashrightarrow y - 3x = 9 \\ \\ \dashrightarrow \boxed{y = 9 + 3x } \qquad .. \sf eq(1)$

$\text{we got the value of y now getting the value of x}$

$\looparrowright 7x + y = 25 \\ \\ \looparrowright 7x = 25 - y \\ \\ \looparrowright \boxed{x = \frac{25 - y}{7}} \qquad .. \sf eq(2)$

$\text{Now, putting y = 9 + 3x in eq(2)}$

$\hookrightarrow x = \frac{25 - y}{7} \\ \\ \hookrightarrow x = \frac{25 - 9 + 3x}{7} \\ \\ \hookrightarrow 7x = 25 - 9 + 3x \\ \\ \hookrightarrow 7x - 3x = 16 \\ \\ \hookrightarrow 4x = 16 \\ \\ \hookrightarrow x = \frac{16}{4} \\ \\ \star \quad \boxed{ \green{ \frak{ x = 4}}}$

$\text{Now we know the value of x, for getting y we need to put x in eq(1)}$

$: \implies y = 9 + 3x \\ \\ : \implies y = 9 + 3(4) \\ \\ : \implies y = 9 + 12 \\ \\ \star \quad \boxed{\frak{ \green{y = 21}}}$

$\text{Hence, values of x and y are} \: \frak{ \green{4}} \: \text{and} \: \frak{ \green{21}} \: \text{respectively}.$

4 0

2 years ago

-5+|-15÷(-5) |2(-5) ​

-5+|-15÷(-5) |2(-5)