Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.

Answer:

y = 15x - 19

Step-by-step explanation:

In order to pass through both (-2, 11) and (1, -34), then the equation must be y = 15x - 19. Hope this helps!

Answer:

1) b   2) b

Step-by-step explanation:

1) Both expressions have (x+6). Rearrange them and you'll have one expression as (x+6) and the other as (5ab-4).

2) (4b - 7x)(a + b) factors to be 4ba + 8b - 7ax - 14x, which can be rearranged to 4ab - 7ax + 8b - 14x

Question 1

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Explanation:

Note how we have (x+6) show up twice. What we can do is erase both copies to end up with 5ab-4. Then stick parenthesis around that to get (5ab-4). Effectively what is going on here is that we're pulling out the GCF (x+6).

Lastly, tack on the (x+6) we erased earlier to get the factorization of (5ab-4)(x+6). Because multiplication can be done in any order, this means it's the same as (x + 6)(5ab - 4)

We can use the distribution method, the box method, or FOIL to expand that factorization back out and help confirm we have the correct answer.

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Question 2

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Explanation:

We'll use the factor by grouping method.

Pair up the terms, then factor each grouping pair. From there, you'll follow the ideas mentioned in problem 1 to finish things off.

This is what the steps could look like:

4ab - 7ax + 8b - 14x

(4ab - 7ax) + (8b - 14x) ... pair up terms

a(4b - 7x) + 2(4b - 7x) ... factor out GCF from each group

(a + 2)(4b - 7x) ... use the trick done in problem 1

(4b - 7x)(a + 2) .... the order of multiplication doesn't matter

You can use the distribution method, FOIL method, or box method to help confirm the answer.

Answer:

120=100%

90=x

x=100%×90/120

x=75%

%decrease=100%-75%=25%

Answer: -1/4

Step-by-step explanation:

Rate of change is just another term for slope. To calculate slope, we just need any 2 points on the graph and apply the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{1-2}{4-0} =\frac{-1}{4} =-\frac{1}{4}[/tex]

This means -1/4 is the rate of change.

Answer:

10=z+6

10-6=z

4=z

therefore

z=4

The probability the coin comes up all heads or all tails after 4 tosses is 1/8

The value of the odds is given as

Odds = 1 : 7

Represent the odds as a fraction

So, we have the following representation

Odds = 1/7

To convert the odds to probability, we make use of the following equation

Probability = Odds/(1 + Odds)

Substitute the known values in the above equation, so, we have the following representation

Probability = (1/7)/(1/7 + 1)

Evaluate the sum

Probability = (1/7)/(8/7)

Evaluate the quotient

Probability = 1/8

Hence, the probability is 1/8

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Answer:

2 (21a−8)

Step-by-step explanation:

Answer:

2(21a - 8)

Step-by-step explanation:

42a - 16
The gcf of 42, 16 is 2
=> 2(21a-8)

Answer:

2.7n + 6.6 or 6.6 + 2.7n

Step-by-step explanation:

Algebraic Expressions are just like Numerical Expressions but instead of numbers, alphabets are used, these alphabets can also be used as variables. (BODMAS rule applies to Algebraic Expressions as well.)

Eg. 45x + 31x(2) = 45x + 62x = 107x

Given from the question:

[tex]0.3(9n + 22) \\ = 2.7n + 6.6 \: or \: 6.6 + 2.7n[/tex]

Answer:

I have an image attached and a table how I solved it.

Answer:

I'm so sorry if I'm wrong but in my opinion I think the answer is C you don't have to choose it

Answer:

4 pills

1

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

divide 12.5 by 5 to get the ratio of enlargement, then multiply 2 by that ratio to get x

if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest

Answer:

40000

hope this helped

Step-by-step explanation:

Answer:

40000

Step-by-step explanation:

If the number of dragons in Westeros rose by a shocking 15% this year if there were 300 dragons in the previous year, then there will be a total of 345 dragons in this year.

The percentage increase in the number of dragons in Westeros rose = 15%

The total number of dragons in Westeros rose in previous year = 300

So, for calculating the total number of dragons in Westeros rose in this year we will first find the value of 15% of 300 and then add it to 300.

So, finding the value of 15% of 300

As we know, for removing the percentage sign we will divide the given number by 100

So, the value of 15% of 100 = (15/100)*300 = 45

So, the value of the total number of dragons in Westeros rose in this year will be 300+45 = 345

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The correct question may be like:

If the number of dragons in Westeros rose by a shocking 15% this year if there were 300 dragons in the previous year, then what will be a total of dragons in this year?

Answer:

The KOT club has 5 pledges and can send between 2 and 4 pledges to work at Goodwill on Helping-Out Day. This can be done in 10 different ways

Step-by-step explanation:

Answer: r = 5

Step-by-step explanation:

Using Pythagoras we can find the length of the diameter

d^2 = (3 - -5)^2 + (-8 - -2)^2

= 8^2 + (-6)^2

= 64 + 36

= 100

This means d = 10 and r = 5

Answer:

Step-by-step explanation:

[tex]6\cdot6+5\cdot(6\cdot7)+6\cdot4+2\cdot(\frac12\cdot6\cdot4)=36+210+24+24=294\,cm^2[/tex]

Answer:

-----------------------------------

According the the table the slope is:

Use slope-intercept form:

And substitute one of the ordered pairs, to find the value of b:

The y-intercept is (0, 8).

Answer:

[tex]m = \frac{4}{5} [/tex]

Step-by-step explanation:

The slope of a graph is also known as its gradient, which is the steepness of the graph.

If we are given two points on the line, we can find the slope by taking rise/ run, which is the ratio of the change in y-coordinate against the change in the x-coordinate. This can also be written as a formula:

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

In this question, we are given the equation of the line. This equation is already in the slope-intercept form (y= mx +c) since the coefficient of y is 1 and all the other terms are on the other side of the equal sign. In the slope-intercept form, m is the slope while c is the y-intercept.

m= ⅘ since the coefficient of x is ⅘ in the given equation (when the equation is in the slope-intercept form).

Answer:it is c

Step-by-step explanation:

The sequence of transformations maps quadrilateral ABCD onto quadrilateral EFGH is Reflection across the x-axis, translation 6 units left

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

A reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to be a reflection of the other figure, then every point in a figure is at equidistant from each corresponding point in another figure.

According to the question

Quadrilateral ABCD  

A(1,1) , B(2,3) , C(4,3) , D(5,1)

Quadrilateral EFGH

E(-5,-1) , F(-4,-3) , G(-2,-3) , H(-1,-1)

As we can that  

Quadrilateral ABCD and EFGH have opposite sign coordinates

i.e Reflection across the x-axis,

and difference between x axis of Quadrilateral ABCD and EFGH  is 6

|-5 - 1 |  = 6  ( as distance is always +ve)

therefore,

translation 6 units left

Hence, the sequence of transformations maps quadrilateral ABCD onto quadrilateral EFGH is Reflection across the x-axis, translation 6 units left

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Answer:

10,000

Step-by-step explanation:

10 x 10 x 10 x 10

Answer:

81 times its common sense but you dont have nun.

On solving the provided question, we can say that - on doing the fraction we have  [tex]\frac{1}{10} ; \frac{1}{100} ; \frac{1}{10000}[/tex]

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

here we have,

0.1 = 1/10

0.01 = 1/100

0.0001 = 1/10000

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Answer:

[tex]\angle ABC = 122^\circ[/tex]

Step-by-step explanation:

Given

[tex]\angle ADC = 61^\circ[/tex]

See attachment for circle

Required

Find [tex]\angle ABC[/tex]

From the attachment, we can see that:

[tex]\angle ADC[/tex] is at the circumference

[tex]\angle ABC\\[/tex] is in at the center

From cyclic theorems,

The relationship between ABC and ADC is:

[tex]\angle ADC = \frac{1}{2} * \angle ABC[/tex]

Make ABC the subject

[tex]\angle ABC = 2 * \angle ADC[/tex]

Substitute: [tex]\angle ADC = 61^\circ[/tex]

[tex]\angle ABC = 2 * 61^\circ[/tex]

[tex]\angle ABC = 122^\circ[/tex]

Note: Consider the solid object is a cylinder because the radius of base and height of the solid is given.

Given:

Radius of base = 7 cm

Height = 12 cm

To find:

The volume of the given solid.

Solution:

The volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

Where, r is the radius of the base and h is the height of the cylinder.

Putting [tex]r=7,h=12,\pi=\dfrac{22}{7}[/tex] in the above formula, we get

[tex]V=\dfrac{22}{7}\times(7)^2\times (12)[/tex]

[tex]V=22\times 7\times 12[/tex]

[tex]V=1848[/tex]

Therefore, the volume of the given solid is 1848 sq. cm.

No, 4, 8, and 12 are not valid side lengths for a triangle. So 4, 8 and 12 does not make a triangle.

In order for a shape to be a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem.

If a triangle has sides of length 4, 8, and 12, then the triangle inequality theorem would be:

8 + 12 > 4 (true, as 8+12 =20)

12 + 4 > 8 (true, as 4+12=16)

4 + 8 > 12 (false, as 4+8 =12)

Since 4 + 8 = 12, and 12 is not greater than 4 or 8, a triangle cannot be formed with sides of length 4, 8, and 12.

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Answer:

4

Step-by-step explanation:

Half means 1/2

Half of 8

= 1/2 x 8

= 8/2

= 4

Hence, half of 8 is 4.

Answer: 4

Step-by-step explanation:4 + 4 is 8 half of 4 is eight.