Select all the true statements about the graph of this quadratic equation.
y = 2(x+3)² -5

please helpp

Answer:

Step-by-step explanation:

Either way works. It comes to the same thing.

(2x-5)(x+1)=9

F: 2x*x = 2x^2

O: 2x*1 = 2x

I: -5 * x = -5x

L: -5*1 = -5

2x^2 + 2x - 5x - 5 = 9    Subtract 9 from both sides

2x^2 - 3x - 14 =0            Divide by 2 (it makes life easier).

Factoring you get

(2x - 7)(x + 2)

2x - 7 = 0

2x = 7

x = 3.5

x + 2 = 0

x = -2

The x intercepts = (3.5,0) and (-2,0)

I've put a graph up for the given equation.

Therefore , the solution of the given problem of sequence comes out to be T =  5832.

The phrase "sequence" refers to a grouping of numbers, or "terms." 2, 5, and 8 are examples of terms. By making advantage of a specific pattern some sequences follow, it is possible to make some sequences infinitely long. To continue the sequence, use the sample of 2,5,8, and then add 3. There are equations that show where to seek for words in a list of words. In mathematics, a sequence is a group of items that are all in some kind of order .  The length of the series is the total number of ordered objects, which may be limit . arranging two or more things in a sensible order. Chronological.

Here,

Given :

to determine the nth term norm for the members of the cube in order.

1, 8, 27, 64, and... are

the cube numbers.

The 18th term

=> T(18) = 183

=> T(18) = n³

=>T(n) =  n³ = 5832

Therefore , the solution of the given problem of sequence comes out to be T =  5832.

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Width of the enlarged photograph = 14 cm

Length of a small photograph = 6 cm

Width of a small photograph = 4 cm

Length of the photograph when enlarged = 21 cm

Let the width of the photograph when enlarged be x.

Which means :

\( = \tt 4 : 6 : : x : 21\)

\( =\tt \frac{4}{6} = \frac{x}{21} \)

\( =\tt 4 \times 21 = 6 \times x\)

\( =\tt 84 = 6x\)

\( =\tt x = \frac{84}{6} \)

\( =\tt x = 14\)

Thus, the value of x = 14

Therefore, the width of the enlarged photograph = 14 cm

A.BC BD must be true in order to demonstrate that triangles ABD and ABC are congruent by SSS.

The SSS Congruence Theorem requires three pairs of corresponding sides to be congruent for two triangles to be considered congruent to one another.

We may infer the two triangles' characteristics from the provided image by looking at them:

AB ≅ AB (reflexive property) (reflexive property)

AC ≅ AD (provided) (given)

The two pairs of corresponding congruent sides are so present. As a result, for SSS to demonstrate that ABD ABC, the following must be true: A. BC BD.

A.BC BD must be true in order to demonstrate that triangles ABD and ABC are congruent by SSS.

The complete question is,

Have a look at the triangles below. In order to demonstrate that ABDABC, which of the following would also need to be true?

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When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.

The old coordinate where were rotated are:

A(-5,8)

B (-1, 7)

C(-3, 5)

D(-4, 2)

To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x  -coordinate.

The new coordinates are after 90 degrees, counterclockwise  are

A' = (-8, -5)

B' = (-7, -1)

C' = (-5, -3)

D' = (-2, -4)

See attached image.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

you didn't put a picture in,

Answer:

x² - 6x + 8 = 0

or, x² - (4+2)x + 8 = 0

or, x² - 4x - 2x + 8 = 0

or, x(x-4) -2(x -4)= 0

or , (x-4) (x-2) = 0

either,

x - 2 = 0

x = 2

OR,

x - 4 = 0

x = 4

next ,

x-p = 9

or, 2-p = 9

p= -7

either,

x-p = 9

or, 4 - p = 9

or, p= -5

hope this will help you

Step-by-step explanation:

First, 40 percent of 1250 = 750

20 percent of 750 = 600

I don't know if this is correct I just did what my mind said sooo

Answer:

It is not a solution

Step-by-step explanation:

put in (-9,-5) in for x and y

9(-9)+4(-5)=10

-81-20=10

-101=10

This is false so (-9,-5) is not a solution to the equation 9x+4y=10

Answer:

3 yards

Step-by-step explanation:

Divide inches by 36

\(108/36\\=3yards\)

Answer:

\(3 \: \: yards\)

Step-by-step explanation:

\(1 \: \: yard = 36\: \: inches \\ yard \: \: x = 108 \: \: inches\)

So,

\( 1 = 36 \\ x = 108 \\ \\ cross \: \: \: multiple \\ \\ 108 = 36x \\ \frac{108}{36} = \frac{36x}{36} \\ x = 3 \: \: yards\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

4 days

Step-by-step explanation:

9 months/6 months = 6 days /x days

9/6 = 6/x

x = 4

Answer:

H0: σ1=σ2

Ha : σ1 >σ2

B. Upper H 0H0​:

sigma Subscript 1 Superscript 2σ21equals=sigma Subscript 2 Superscript 2σ22

Upper H 1H1​:

sigma Subscript 1 Superscript 2σ21greater than>sigma Subscript 2 Superscript 2σ22

Step-by-step explanation:

The claim is  that the treatment group has errors that vary significantly more than the errors of the placebo group.

The claim is the alternative hypothesis and the opposite of claim is the null hypothesis.

Vary significantly means that it is greater than so we choose the alternate hypothesis of greater than and the null hypothesis will be equal to errors of the placebo group.

So the correct choice is B.

B. Upper H 0H0​:

sigma Subscript 1 Superscript 2σ21equals=sigma Subscript 2 Superscript 2σ22

Upper H 1H1​:

sigma Subscript 1 Superscript 2σ21greater than>sigma Subscript 2 Superscript 2σ22

Choice A,C and D all are incorrect.

This can be written as

H0: σ1=σ2

Ha : σ1 >σ2

The equation that represents the cost, c, of n sets is c = 63.74n

from the question, we have the following parameters that can be used in our computation:

Each volleyball set costs $63.74.

Let the total number of sets be n

So we have

Cost of n = 63.74 * n

This gives

c = 63.74n

Hence, the equation is c = 63.74n

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Answer:

Bottle 4

Step-by-step explanation:

took the quiz :p

Answer:

Step-by-step explanation:

The two equations form two parallel lines because their slopes are the same, but their y-intercepts are different. This means that the equation of the two lines have no solutions. Please check out my graph to understand better.

Answer:

when

\(x\ge 0\)

then

\(x\times \left|x\right|=x^{2}\)

Step-by-step explanation:

As we know that

When x is positive

\(\left|x\right|=\:x\)

As from the question,

\(x\ge 0\)

so the expression will be:

\(x\times \left|x\right|=x\times x=x^2\)      ∵ \(x\ge 0\) so \(\left|x\right|=\:x\)

Therefore,

\(x\times \left|x\right|=x^{2}\)

Answer:

###########÷#######################

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

Answer:

Vertex: (-4, -1)

Y-intercept: (0, 15)

Step-by-step explanation:

Given the quaratic function, h(x) = x² + 8x + 15:

In order to determine the vertex of the given function, we can use the formula, \([x = \frac{-b}{2a}, h(\frac{-b}{2a})]\).

In the quadratic function, h(x) = x² + 8x + 15, where:

a = 1, b = 8, and c = 15:

Substitute the given values for a and b into the equation to solve for the x-coordinate of the vertex.

\(x = \frac{-b}{2a}\)

\(x = \frac{-8}{2(1)}\)

x = -4

Subsitute the value of the x-coordinate into the given function to solve for the y-coordinate of the vertex:

h(x) = x² + 8x + 15

h(-4) = (-4)² + 8(-4) + 15

h(-4) = 16 - 32 + 15

h(-4) = -1

Therefore, the vertex of the given function is (-4, -1).

The y-intercept is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:

h(x) = x² + 8x + 15

h(0) = (0)² + 8(0) + 15

h(0) = 0 + 0 + 15

h(0) = 15

Therefore, the y-intercept of the quadratic function is (0, 15).

Answer:

20

Step-by-step explanation:

hope this was right and helpful

The missing statement in the proof specified is given by: Option B: ∠BCA≅∠DCB

What is the reflexive property of congruence?

According to the reflexive feature of congruence, the geometric quantity under consideration—be it an angle, a line segment, a form, etc.—is congruent to itself.

The third step's key concept in this instance is the "Reflexive Property of Congruence."

The fourth phase comes to the conclusion that the ΔABC~ΔBDC criteria for similarity are met.

Since it was established in the second stage that ∠ABC≅∠BDC

Therefore, in order for the fourth step to apply angle-angle similarity, which requires the angles of two considered triangles to be congruent, we must demonstrate another angle pair of triangles ΔABC and ΔBDC being congruent in the third step.

Internal angle C is the common angle in the triangles ABC and BDC.

As a result, it is consistent with itself due to its reflexive characteristic.

We obtain the following notation for internal angle C from triangle ABC:

Angle ACB and BCA(both will work)

Triangle BDC gives us the following notation for internal angle C:

Angle DCB and BCD(Both will function.)

They fit together. The second choice takes angle C into account, so:

∠BCA≅∠DCB (second option) is the missing statement.

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Answer:

The experimental probability depends on how many times you're spinning it and theoretical probability is stating what "would" happen if you're only spinning it once. After you get the theoretical probability, you would multiply that percentage by 25 to get the experimental probability percentage.

Step-by-step explanation:

The experimental probability depends on the number of times the experiment is conducted. The result from a theoretical probability is what would happen if the experiment is done once.

Probability determines how likely a stated event would occur. The probability the event occurs is 1 and the probability that the event does not occur is 0. Experimental probability is based on the result of an experiment that has been carried out multiples times

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Answer:r

Step-by-step explanation:r

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

Step-by-step explanation:

(3 - 8)/(1 + 4)= -5/5= -1

y - 8 = -(x + 4)

y - 8 = -x - 4

y = -x + 4

The total amount of cake given to bother of them is 2 piece of cake.

Addition in math is a process of combining two or more numbers. Addends are the numbers being added, and the result or the final answer we get after the process is called the sum. It is one of the essential mathematical functions we use in our everyday activities.

For example, if two mangoes ere given to James and 10 were given to Jane then the total mangoes given to both of them is 10+2 = 12

Similar 1 piece of cake is given to Maria and 1 piece of cake is given to Namja . Therefore,

the total piece of cake given to both of them is 1+1 = 2 piece of cake

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

The value of the car after 3 years is $79, 000

To determine the value, we have to use the formula;

Value = Initial value × (1 - Depreciation rate)ⁿ

Substitute the values given, we get;

Remaining value after 3 years = $100,000 × (1 - 0.10)³

Expand the bracket, we get;

Value after 3 years = $100,000 × (0.90)³

Find the cube value and substitute, we have;

Value after 3 years = $100,000 × 0.729

Multiply the values, we have;

Value after 3 years = $72,900

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