the graph of y=x^2 +4x + 3 is shown
a) what are the coordinates of the turning point
b) what are the coordinates of the roots of the equation x^2+4x+3=0

Answer:

True

Step-by-step explanation:

-_-

The steps are shown below:

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

given:

-4x + 27/ 3 < 5

On solving for x

-4x < 5-27/3

-4x + 27/3 - 27/3 < 5 - 27/3

-4x/4< -12/3*4

(-1)9(-x) < -(-4)

x>1

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The graph of the absolute value function:

g(x) = |2 + x| - 3

Can be seen at the end of this answer.

Here we want to graph the absolute value function:

g(x) = |2 + x| - 3

First, we know that the vertex of this function will be at the point (-2, -3) (is at the value of x such that the absolute value part becomes zero).

From that vertex, we just draw two lines with slope 1 to the right and -1 to the left, you should get something like the graph below.

As you can see it opens upwards, because the leading coefficient is 1 (positive).

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Answer:

35°

Step-by-step explanation:

The important information is that the angle is complementary to the angle 55°. A complementary angle is and angle plus another that equal 90°.

55° + x° = 90°

x = 35°

Answer:

[tex]8*10^3[/tex]

Step-by-step explanation:

[tex]\frac{6.4*10^6}{8*10^2} \\=\frac{64*10^{-1}*10^6}{8*10^2}\\=\frac{64*10^5}{8*10^2}\\=8*10^{(5-2)}\\=8*10^3[/tex]

Answer:

Option (A)

Step-by-step explanation:

Volume of a cylinder is given by the formula,

V = πr²h

Here r = radius of the cylinder

h = height of the cylinder

Therefore, volume of a cylinder given in the question,

V = π([tex]\frac{18}{2}[/tex])²(8)

  = 648π

  = 2035.8 km²

Volume of the given cylinder is 2035.8 km².

Option (A) will be the answer.

Answer:

It’s an open circle, so it’s

x > 4

Step-by-step explanation:

Answer:

it is a

Step-by-step explanation:

because it is going to the right and it has an open circle

Answer: c

Step-by-step explanation: 1:4 is 4 times the flour to water and 2:8 is also 4 times the flour

Answer:

Point Form:

(4,−12)(4,-12)

Equation Form:

x=4,y=−12

Answer:

18 drops of icing

Step-by-step explanation:

Well, for every 7 ounces of icing, there is 2 drops of food coloring. You must first figure out how many times 7 goes into 63.

63 ÷ 7 = 9

Ok, so 7 goes into 63, 9 times. And now you just need to double 9, because "for every 7 ounces of icing there is 2 drops of food coloring" Basically means you just double your answer. So, by doubling 9, you get 18. Therefore, there are 18 drops of food coloring in 63 ounces of icing.

63 ÷ 7 = 9

9 × 2 = 18

18 drops of food coloring

Answer:

can you please take a picture so i can try to solve it

Step-by-step explanation:

if you do thank you

Answer:

$5

Step-by-step explanation:

20+15=35

80-35=45

45 divided by 9 = 5

Answer:

um Yess?

Step-by-step explanation:

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Answer:

72 pieces

Step-by-step explanation:

since 1/8 pieces would mean 8 per pie then

8*9 = 72

So 72 pieces

Step-by-step explanation:

hope this helps you out some

Answer:B

Step-by-step explanation:2/8*40=10

Answer:

x≠3/2

Step-by-step explanation:

The domain can be anything (the infinity sign explains), except the domain can't be 3/2 otherwise the denominator will be 0. So Your answer will be the first option.      :)))))))

btw x is the same as domain

A is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees

A' is (-2,1)

Given :

A triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees.

The rule for reflection over y axis

(x,y) -> (-x,y)

Reflection over x axis is

(x,y) -> (x,-y)

Rotate by 180 degree

(x,y)->(-x,-y)

The point A lies on (-2,1)

Lets find the coordinate of point after reflection over y axis, x axis and rotation by 180 degree using the rules

Reflection over y axis

(-2,1) -> (2,1)

Reflection over y axis

(2,1)-> (2,-1)

Rotate by 180 degrees

(2,-1)-> (-2,1)

So A' is (-2,1)

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Answer:

32.0 cm

Step-by-step explanation:

volume of a hemisphere = (2/3)πr3

r = cube root (Volume * 3/2 * 1/π )

r = cube root ( 8514 * 3/2 * 1/π)

r = 15.96

in the nearest tenth r = 16.0 cm

D= 2r

D= 2(16)

D= 32cm

Answer: 31.9 cm

Step-by-step explanation:

Got it from deltamath so it's right

Answer:

C x^2 + y^2

Step-by-step explanation:

If x and y are real numbers

x^2 > 0 and y^2 >0  so x^2 + y^2 >0  and A is a negative number

Answer:

y = -2

Step-by-step explanation:

When you see a horizontal line like this, it will always be " Y = something".

When you see a vertical line, it will always be "X = something".

You can see what that number will be by looking at where it crosses the X or Y axis!

Answer: Since she puts 5 seeds per pot, I know that she will put 20 seeds in four pots.

I got this by dividing 55/11 to get the amount of seeds in one pot.

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

The expression represents the sum of the holes.

The variable in the expression is Mia's age.

The simplified expression is 4x - 6

The constant in the simplified expression is -6.

An expression in mathematics is a sentence that is made up of at least of two numbers or variables and has at least one mathematical operation in it.  An expression does not have an equal to sign (=). An example of an expression is 2 + x .

A constant is a value in an expression that never changes in value. For example, in the expression 2x + 5x, 2 is the constant.

Mia's holes = x

Isabelle's holes = 2x - 16

Erick's holes = 10 + x

Sum of holes = x + 2x - 16 + 10 + x

To simplify, add similar terms together : 4x - 6

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Answer:

A reflection across the line x = -1

Step-by-step explanation:

A reflection along the line x = -1 carries the trapezoid onto itself.

From the situation described, we have that:

a) Tunnel A is a circle with center (-14, 0) and radius 12, meaning that both the width and the height are of 12.

b) Tunnel B is a parabola that has a width of 32 feet and a height of 16 feet.

c) The maximum height of Tunnel A is of 12 feet and of Tunnel B is of 16 feet, hence, since the height of the truck is of 13.5 feet, it can pass through Tunnel B without damage, as it's height is greater than 13.5 feet.

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

For Tunnel A, the equation is given by:

x² + y² + 28x + 52 = 0

Completing the squares:

(x + 14)² + y² = -52 + 14²

(x + 14)² + y² = 144.

Hence:

Tunnel A is a circle with center (-14, 0) and radius 12, meaning that both the width and the height are of 12.

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

For Tunnel B, the equation is given as follows:

x² - 36x + 16y + 68 = 0.

16y = -x² + 36x - 68.

Simplifying by 16:

y = -0.0625x² + 2.25x - 4.25.

Hence the coefficients are a = -0.0625, b = 2.25, c = -4.25, and the maximum height is:

[tex]y_v = -\frac{(2.25)^2 - 4(-0.0625)(-4.25)}{4(-0.0625)} = 16[/tex]

The width is the difference between the roots, which, using a calculator, are:

2 and 34, hence the width is of 32 feet.

Then:

Tunnel B is a parabola that has a width of 32 feet and a height of 16 feet.

For item c, we have that:

The maximum height of Tunnel A is of 12 feet and of Tunnel B is of 16 feet, hence, since the height of the truck is of 13.5 feet, it can pass through Tunnel B without damage, as it's height is greater than 13.5 feet.

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Answer:

Number of nickels is 49 and the number of quarters is 32

Step-by-step explanation: