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

Answers

Answer 1

Answer:

a) -2, -1

b) (-3,0) and (-1,0)

The Graph Of Y=x^2 +4x + 3 Is Shown A) What Are The Coordinates Of The Turning Pointb) What Are The Coordinates
The Graph Of Y=x^2 +4x + 3 Is Shown A) What Are The Coordinates Of The Turning Pointb) What Are The Coordinates
Answer 2

From the graph of the given equation

the coordinates of the turning point is [tex](-2,-1)[/tex]

The coordinates of the roots of the equation [tex]x^2+4x+3=0[/tex] are [tex](-3,0) \; and \;( -1,0)[/tex]

Given :

the graph of y=x^2 +4x + 3 is shown

The graph of [tex]y=x^2 +4x + 3[/tex] is attached below

From the graph we can see that , the vertex is (-2,-1)

The graph changes direction at the point (-2,-1)

so we can say that there is only one turning point at [tex](-2,-1)[/tex]

Now we find out the roots of the equation

roots are the points where the graph crosses or touches x axis

The graph crosses x axis at [tex]-3 \; and \; -1[/tex]

The coordinates of the roots of the equation [tex]x^2+4x+3=0[/tex] are [tex]-3 \; and \; -1[/tex]

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The Graph Of Y=x^2 +4x + 3 Is Shown A) What Are The Coordinates Of The Turning Pointb) What Are The Coordinates

Related Questions

b-3±6-2b i need it know pls help me

Answers

Answer : b=3

Hope this helps have a great day! :)

Y'all realize how genuis this money source of Brainly is? We do all the work for each other, and they just sneak in ads, or make you pay for them to go away.

Example: (image) they would NOT like people talking about guns, but hey if they get money, then it's not so bad -_-

Answers

Answer:

True

Step-by-step explanation:

-_-

Alexa is making a recipe that requires 1 cup of water and 4 cups of flour. Which of the following combinations shows the same ratio of water to flour?

A. 2 cups of water to 3 cups of water

B. 2 cups of water to 4 cups of flour

C. 2 cups of water to 8 cups of flour

D. 3 cups of water to 6 cups of flour

Answers

Answer: c

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

The perimeter of a rectangular garden is 294 feet. If the length of the garden is81 feet, what is its width?

Answers

Step-by-step explanation:

hope this helps you out some

(40 points please explain your answer)
If triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees, where will point A' lie?

(−1, 2)
(−2, 1)
(1, −2)
(2, −1)

Answers

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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Kevin and Randy Muise have a jar containing 81 coins, all of which are either quarters or nickels. The total value of the coins in the jar is ​$10.45. How many of each type of coin do they​ have?

Answers

Answer:

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

Step-by-step explanation:

Find the domain of the rational function f(x)=x-5/2x-3

Answers

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

Just answer no work needed to show

Answers

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]

SRRY IK LAST QUESTION FOR REAL THIS TIME

Answers

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.

please help asap!!!!

Answers

Answer:

A reflection across the line x = -1

Step-by-step explanation:

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

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

Answers

The graph of the absolute value function:

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

Can be seen at the end of this answer.

How to graph the absolute value function?

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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An architect has designed two tunnels. Tunnel A is modeled by x2 + y2 + 28x + 52 = 0, and tunnel B is modeled by x2 – 36x + 16y + 68 = 0, where all measurements are in feet. The architect wants to verify whether a truck that is 8 feet wide and 13.5 feet high can pass through the tunnels.

Part A: Write the equation for Tunnel A in standard form and determine the conic section. Show your work. (4 points)

Part B: Write the equation for Tunnel B in standard form and determine the conic section. Show your work. (4 points)

Part C: Determine the maximum height of each tunnel. Is the truck able to pass through either tunnel without damage? If so, which tunnel(s) and why? Show your work. (7 points)

Answers

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.

What is the equation of a circle?

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.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

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

In which:

[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

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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WHATS THE ANSWER PLEASE HELP QUICK

Answers

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!

Y=-2
The slope is zero so there is no x and the line intersects the y axis at -2 :)

Chad plans to spin the spinner below 40 times. Predict and explain the number of times the spinner will land on 3.​

Answers

Answer:B

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

3/8 divided by 4????

Answers

Answer:

um Yess?

Step-by-step explanation:

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▇╱▏┈┈▇▇▇╱▏▇╱▏

▇╱▏▁┈▇╱▇╱▏▇╱▏▁

▇╱╱╱▏▇╱▇╱▏▇╱╱╱▏

▇▇▇╱┈▇▇▇╱┈▇▇▇╱

You are making a colorful cake for a birthday party and need to use 2 drops of food coloring for every 7 ounces of icing. How many drops of food coloring do you need if you are using
63 ounces of icing?

Answers

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

What is the diameter of a hemisphere with a volume of 8514 cm', to the nearest
tenth of a centimeter?

Answers

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

Point A appears on the number line as shown below:

Answers

the answer is C.
Any number squared will be positive, therefore x^2+y^2 has to equal a positive number. A is less than zero, so it is negative.

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

Which inequality is true when the value of U is 17

Answers

Send a picture so I can see the rest to help

There are 9 pies cut into 1/8 pieces, how many pieces would you get ?

Answers

Answer:

72 pieces

Step-by-step explanation:

since 1/8 pieces would mean 8 per pie then

8*9 = 72

So 72 pieces

Solve the solution set

-4x + 27/ 3 < 5

The answer is x > 3 im just not sure what the steps are to solve it

Answers

The steps are shown below:

subtract 27/3 from both sideDivide by 4 from both sideMultiply (-1) on both side.

What is inequality?

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

subtract 27/3 from both side

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

Divide by 4 from both side

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

Multiply (-1) on both side.

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

x>1

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I give brain please help

Answers

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

An artist is cutting pieces of glass for a stained glass window.
Please help!

Answers

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°

Erick, Mia, and Isabelle golfed 9 holes. Erick scored 10 more than Mia, and Isabelle scored 16 less than twice Mia's score. Use the drop-down menus to complete the statements about the expression that represents the scenario.

What does the expression x + x + 10 + 2x – 16 represent from the given scenario?

What does the variable in the expression represent?

What is the expression in simplified form?

What is the constant in the simplified expression?

Answers

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.

What is the simplified expression?

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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halo me please I don't know what to do​

Answers

the answer is 22 1/9

What is the solution to the given system of equations
Y= 4x-28
Y= 1.5x - 18

-12,4
4,-12
7,0
7.5,2

Answers

Answer:

Point Form:

(4,−12)(4,-12)

Equation Form:

x=4,y=−12

Georgia goes shopping with $80 to spend on food for a party. She buys 9 pizzas that all cost the same price, $20 worth of soda and $15 worth of ice cream. If she spent all of her money, what was the cost of each pizza?

Answers

Answer:

$5

Step-by-step explanation:

20+15=35

80-35=45

45 divided by 9 = 5

I think 7.5 I don’t read about it pls say thanks

Which of the following graphs matches the table above

Answers

Answer:

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

Step-by-step explanation:

if you do thank you

If Analissa puts 55 seeds into 11 pots, how many seeds does she put in 4 pots?

Answers

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?

She will put 20 in four pots

in right triangle if one angle is 44 what is the third angle

Answers

The answer is 36°.
Explanation:
180°-90°-44°= 36°.
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