Which statements are true about the parabola represented by the equation y=−3x^2+18x+23 Select all that apply. 1. The leading coefficient is positive, so the parabola opens up. 2. The leading coefficient is negative, so the parabola opens down. 3. The parabola has a maximum. 4. The parabola has a minimum.

Answers

Answer 1

Answer:

2, 3

Step-by-step explanation:

2. The leading coefficient is -3. When the leading coefficient is negative, the parabola opens down.

3. When the parabola opens down, it has a maximum point, but no minimum point. (when the parabola opens up, it has a minimum, but no maximum)

I hope this helps :)

Answer 2

The right statements about equation y=−3x^2+18x+23 is 2) The leading coefficient is negative and 3) The parabola has a maximum.

What is a parabola?

A parabola is a plane curve which is mirror-symmetrical and can be downward, upward, leftward and rightward shaped.

What are the statements?

Second is true because when the coefficient is negative  the parabola opens down because their values starts decreasing.

Third is true because when the parabola opens down it has a maximum point and no minimum point. On the other hand when the coefficient is positive it opens up.

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Related Questions

Is the following statement true or false? The intersection of a plane and a ray can be a line segment.

Answers

Answer:

False

Step-by-step explanation:

Is the following statement true or false?

The intersection of a plane and a ray can be a line segment.

It is false. Correct one is the point.

Important!!!


That is the distance between (-5, 4) and (-1, 4)?
-5 units
-4 units
4 units
5 units

Answers

Answer:

4 units

Step-by-step explanation:

Since the y value is the same, we only have to look at the x value

-1 - -5

-1 +5

4

The distance is 4 units

Answer:

4 units

Step-by-step explanation:

if you graph these 2 points, they'll be on the same line of the graph separated by 4 units

Some red, white, and blue candies were placed in a bowl. Some contain nuts,
and some do not. Suppose one of the candies were chosen randomly from all
the candies in the bowl. According to the table below, if the candy is blue,
what is the probability that it does not contain any nuts?

Answers

Answer:

20%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

I need mega help I can't get it wrong

Answers

Answer:

4320 square inches

Step-by-step explanation:

Area of a rectangle is base times height. You need to convert 3 yards to inches in order to multiply for the area. Since 1 yard is equal to 36 inches, 4 yards is 4*36 = 144 inches. Now you multiply 30 * 144 to get 4320, which is your answer.

There are 4 red marbles and 3 blue marbles in a bag. Once a marble is drawn it is not replaced. Find the probability of drawing two red marbles in a row.

Answers

Answer:

2/7

Step-by-step explanation:

4 red marbles and 3 blue marbles in a bag = 7 marbles

P(red) = red/total = 4/7

No replacement

3 red marbles and 3 blue marbles in a bag = 6 marbles

P(red) = red/total = 3/6 = 1/2

P(red, no replacement, red) = 4/7 * 1/2 = 2/7

The volume of the cylinder is 230 cubic units. What is the volume of the

cone? Round to the nearest enth if necessary.

Answers

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder

h represents the height of the cylinder

π is a constant

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Where

r represents the radius of the cone

h represents the height of the cone

This means that the volume of the cone is 1/3 × volume of cylinder. Since the volume of the given cylinder is 230 cubic units, then

Volume of cone = 1/3 × 230 = 76.7 cubic units

the top of two poles of height's 20m and 14m are connected by the wire
if the wire makes an angle 30 degree with the horizontal then length of the wire is
8m
10m
12m

Answers

Answer:

The correct option is;

10 m

Step-by-step explanation:

The parameters given are;

Height of the first pole = 20 m

Height of the second pole = 14 m

The angle the wire connected to their top makes with the horizontal = 30°

The vertical height subtended by the inclined wire, h = The difference in height between the two poles = 20 - 14 = 6 m.

Let the horizontal distance between the two poles = D

Therefore;

The horizontal length of the wire = D

From trigonometric ratios, we have;

[tex]tan(30 ^{\circ}) = \dfrac{h}{D} = \dfrac{6}{D}[/tex]

Which gives;

[tex]D = \dfrac{6}{tan(30 ^{\circ}) } = 10.39 \ m\approx 10 \ m[/tex]

The correct option is 10 m.

What is the domain of g(x)?​

Answers

Answer:

-2 ≤x≤5

Step-by-step explanation:

The domain is the inputs

The lowest value of x is -2 and every value of x is valid up to 5

-2 ≤x≤5

Solve x^4 -3x^2 +2=0 using substitution. U=

Answers

Answer:

U = x^2

hope this helped!

Answer:

x^2

Step-by-step explanation:

The person above me is spitting mad facts and da TRUTH and also UNUS ANNUS

Brainliest will be given i need answer ASAP please.

Simplify 84,375/325 to its lowest multiple Example 16/4 = 4/1

Answers

Answer:

3375/13

Step-by-step explanation:

it's found though this equation  [tex]\frac{84375/25}{325/25}[/tex]

Answer:

[tex]3375/13[/tex]

Step-by-step explanation:

[tex]84,375/325[/tex]

Divide the numerator and denominator by 25.

[tex]3375/13[/tex]

[tex]=259.615385[/tex]

What is the factorization of 729x15 + 1000?

Answers

just trying to get 100%

Answer:

A

Step-by-step explanation:

What is the area of the composite figure? -70 cm2 -100 cm2 -105 cm2 -130 cm2

Answers

Make two shapes out of it.

The bottom is a rectangle 14 x 5 = 70 square cm

The top is a triangle 1/2 x 12 x 5 = 30 square cm

Total area = 70 + 30 = 100 square cm

Answer:

100 cm²

Step-by-step explanation:

The composite shape can be cut into two shapes. One triangle and one rectangle. The sum of their areas is the area of the whole composite shape.

The area of the triangle:

b × h × 1/2

(14 - 2) × 5 × 1/2

60 × 1/2

= 30 cm²

The area of the rectangle:

l × w

14 × 5

= 70 cm²

Add the areas of the two shapes.

30 cm² + 70 cm²

= 100 cm²

The area of the composite shape is 100 cm².

x square + 4 x - 12 all over x squared - 2x ​

Answers

Answer:

[tex]\frac{x+6}{x}[/tex]

Step-by-step explanation:

=> [tex]\frac{x^2+4x-12}{x^2-2x}[/tex]

=> [tex]\frac{x^2+6x-2x-12}{x(x-2)}[/tex]

=> [tex]\frac{x(x+6)-2(x+6)}{x(x-2)}[/tex]

=> [tex]\frac{(x-2)(x+6)}{x(x-2)}[/tex]

Cancelling (x-2)

=> [tex]\frac{x+6}{x}[/tex]

I NEED EVERY BODIES HELP ASAP!!!!!!!!!! the question is 15.6/-3

Answers

Answer:

-5.2

Step-by-step explanation:

15.6/-3= - 15.6/3= -5.2

Which of the following equations is the translation 2 units up of the graph of y = |x|?

A. y = |x| - 2
B. y = |x| + 2
C. y = |x + 2|
D. y= |x - 2|

Answers

Answer:

its y = |x| + 2

Step-by-step explanation:

th
Write an explicit formula for An, the nth
term of the sequence 15, 23, 31, ....

Answers

Answer:

a₁ = 15 and common difference = 8 so the formula is:

aₙ = 15 + (n - 1) * 8

= 8n + 7

Anybody know this ? Please help :(

Answers

Answer:

D

Step-by-step explanation:

5.50. 5.50+0.25= 5.75, 5.75+0.25= 6.00, 6.00+0.25= 6.25, 6.25+0.25= 6.50

Option D is the answer:

5.50, 5.75, 6.00, 6.25, 6.50...

Write 18-2 square root of -9 in the form of a+bi

Answers

Answer:

[tex]18+(-2)(\sqrt{-9})[/tex] or [tex]18-2\sqrt{9}[/tex]

Step-by-step explanation:

The cost in dollars C(x), where x is the number of miles driven, of renting a car for a day is C(x)=1.95x+32. What is the independent variable and its units? ______ (dollars, miles, miles per dollar, or dollars per mile) - select the correct units What is the dependent variable and its units? ______ (miles or dollars) - select the correct units

Answers

Answer:

the independent variable is 32 (price of the car in dollars) as it stands alone without a variable and 1.95 is the dependent (cost per mile)

Given that ABCD is a rhombus, find the value of x.

Answers

Answer:

C

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other.

Thus the angle at the intersection of the diagonals is 90°

The sum of the 3 angles in a triangle = 180°

Sum the angles in the lower triangle and equate to 180, that is

90 + x + x + 40 = 180

2x + 130 = 180 ( subtract 130 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25 → C

The value of x is 25.

What are some of the properties of a rhombus?

All four sides are equal.Diagonals bisect each other at 90°.

Given

ABCD is a rhombus,

∠CAD = x°,

∠BDA = (x + 40)°.

Find the equation in x

Let the point where the diagonals intersect be E.

Then, using the property of the rhombus ∠AED = 90°.

We know, in a triangle that the sum of all the three interior angles equals 180°. So, we get,

     ∠AED + ∠BDA + ∠CAD = 180°

⇒                 ∠BDA + ∠CAD = 180° - ∠AED

                                                = 180° - 90° = 90°      (∠AED = 90°)

Put the given values of these angles,

          (x + 40)° + x° = 90°.

This is the equation to be solved to obtain x.  

Solve for x  

           (x + 40)° + x° = 90°

⇒   (2x)° = 90° - 40° = 50°

⇒         x° = (50 / 2)°

⇒         x = 25.

The required value of x is 25.

Learn more about the properties of a rhombus here

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Factor completely 9x2 + 42x + 49

Answers

Answer:

(3x + 7)²

Step-by-step explanation:

You can either factor it by GCF or guess and check. The question you should be asking when you try to factor is"What multiplies to 49 and adds up to 42 with coefficients 3 in front of the x?" When you answer this question, you should think of 7 and 7. You then put it in binomial form and you have your answer.

Answer: (3x + 7)^2

Step-by-step explanation:

9x^2 + 42x + 49

3^2x^2 + 2 * 3x * 7 + 7^2

3x^2 + 2 * 3x * 7 + 7^2

(3x + 7)^2

BC = -2x+85 BD = 5x-48 What is the length of BC?

Answers

Answer:

-2x + 85 = 5x - 48

85 = 7x - 48

7x = 133

x = 19

BC = -2(19) + 85

BC = -38 + 85

therefore, BC = 47

Step-by-step explanation:

the answer i got was 47

Anyone know this ? Please help

Answers

Answer:

3018

Step-by-step explanation:

an = a1 + (n-1)d

a1 is the first term in the sequence = 24

n is the term number which is 500

d is the common difference

Take the second term and subtract the first term to find the common difference

d = 30-24 = 6

a500 = 24 + (500-1) *6

          =24+ 499*6

          =24 + 2994

          =3018

Answer:

3018 is the correct answer.

find the vertex of this function and decide if it is a maximum or a minimum point.

Answers

Answer: maximum point at (-3, 2)

Step-by-step explanation:

The vertex is either the highest or lowest point in the graph. You can see on that graph that the vertex is (-3, 2) because it the x-value -3 points from 0, and the y-value is 2 points from 0. You can also see that the vertex is the highest point on the graph because no points are above it, so it is the maximum value.

Isaac applied the steps below to find the product of (4.2)(-5.4).
.
Step 1: (4.2)(-5.4) = (-5.4)(4.2)
Step 2:
= (-5.4)(4) + (-5.4)(0.2)
Step 3:
= (-21.6) + (-1.08)
Step 4:
=-22.68
Which step shows where Isaac applied the distributive property?
Step 1
0 0
Step 2
Step 3
Step 4

Answers

The answer is step 2. hope it helps.

Answer:

step 2

Step-by-step explanation:

Complete each proof. Remember to mark the diagram as you go. You may not need all the rows.

Answers

Answer:

did u ever get hte answers for this ?

What is the value of x? 10 PTS

Answers

Answer:

X=4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

We can find the length of the hypotenuse of the 45 45 90 triangle using the other triangle (which is 30 60 90)

Since the hypotenuse is 8[tex]\sqrt{2}[/tex], the short leg (hypotenuse of other triangle) will be 4[tex]\sqrt{2}[/tex]

This means the value of x must be 4

What is the units digit of $7^7$ when expressed as an integer?

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Just stick it into a calculator lol

What is the percent of 3.16 to 3.70

Answers

Answer:

85.4054%

Step-by-step explanation:

3.16/3.7 × 100

Divide.

0.854054 × 100

Multiply.

= 85.4054

straight line graphs: find the equation of the lines shown

Answers

Answer:

1. y = -2n + 9

2. y = (1/2)x + 1/2

Step-by-step explanation:

1.

The equation of a line is denoted by y = mx + b, where m is the slope and b is the y-intercept.

Slope is calculated by taking two coordinates and dividing the difference of the y-coordinates by the difference of the x-coordinates. The y-intercept is where the line intersects the y-axis.

Let's choose any two points on the line: (4, 1) and (3, 3). Then:

slope = m = (3 - 1) / (3 - 4) = 2 / (-1) = -2

Now, we can also see that at the point (0, 9), the line intersects the y-axis, so that means b = 9.

The equation is thus y = -2n + 9.

2.

Let's again choose any two points to find the slope: (1, 1) and (3, 2). Then:

slope = m = (2 - 1) / (3 - 1) = 1/2

We can see that the line crosses the y-axis at the point (0, 1/2), so that means b = 1/2.

The equation is thus y = (1/2)x + 1/2.

~ an aesthetics lover

Answer:

1. y = -2x + 9

2. y = (1/2)x + 1/2

Step-by-step explanation:

There was a mistake on the last one so I would like to correct it it is

y= -2x+9

The other one said -2n its -2x

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Lines A and B are parallel, because they have opposite reciprocal slopes. .Lines A and B are perpendicular, because they have opposite reciprocal slopes.. Lines A and B intersect, because their slopes have no relationship. HELP AM BEING TIMED!!!!!!!!!! The reason for the dramatic decline in the number of measles cases from the 1960s to 2010 in the United States was because the vaccine 20 points!!!! match the justification to each statement in the solution of x + 12.7 =-25.2. Select the correct answer from each drop-down menu. Based on the usage of the words bequeath and posterity in this excerpt from Thomas Paine's Common Sense, complete the sentences. The authority of Great Britain over this continent, is a form of government, which sooner or later must have an end: And a serious mind can draw no true pleasure by looking forward, under the painful and positive conviction that what he calls "the present constitution" is merely temporary. 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