Give the vertex for the quadratic function: f (x) = (x – 3) (x + 7)​

Answer:

[tex] \frac{110}{110} = \frac{x}{35} \\ x = 35 \degree[/tex]

Answer:

TRUE

Step-by-step explanation:

If two angles of a triangle are congruent then the sides opposite those angles are congruent by the converse to the isosceles triangle theorem

CAN YOU DROP A FOLLOW? :)

♥️

Answer:

True

Step-by-step explanation:

This is Converse Isosceles property theorem.

It states that if two angles of a a triangle are congruent, then the sides opposite to those angles are congruent

Answer:

D. 6 is 9 less then 15

Step-by-step explanation:

its the only true statement.

Answer:

Given two linearly independent vectors w and z

We want -w-z

Hence apply a negative gradient to w

w=-<-5,3> =<5,-3>

So <5,-3>-<1,4> = (<5-1>,<-3-4>)

The answer is <4,-7>

9514 1404 393

Answer:

  D.  12

Step-by-step explanation:

Set x=0 and solve for y.

  0 -1/2y = -6

  y = (-2)(-6) = 12 . . . . . . multiply by -2 to clear the fraction

The y-intercept is 12.

Answer:

tax is 11.50 tax and price is 147

Step-by-step explanation:

you would do 135.50 times 8.25% to find the tax which is estimated to $11.50 if you wanted to find the tax and the price you do $135.50 plus $11.50 which is $147

Answer:

can you please re- write your equation

Answer:

x = 4

x = 3

x = 10

x = 3

x = 16

x = 35

Step-by-step explanation:

[tex]\frac{x}{5} :\frac{8}{10}[/tex]

x · 10 = 5 · 8

10x = 40

10x ÷ 10 = 40 ÷ 10

x = 4

[tex]\frac{8}{12} :\frac{2}{x}[/tex]

x · 8 = 12 · 2

8x = 24

8x ÷ 8 = 24 ÷ 8

x = 3

[tex]\frac{15}{3} :\frac{x}{2}[/tex]

x · 3 = 15 · 2

3x = 30

3x ÷ 3 = 30 ÷ 3

x = 10

[tex]\frac{x}{6}:\frac{6}{12}[/tex]

x · 12 = 6 · 6

12x = 36

12x ÷ 12 = 36 ÷ 12

x = 3

[tex]\frac{x}{8} :\frac{4}{2}[/tex]

x · 2 = 8 · 4

2x = 32

2x ÷ 2 = 32 ÷ 2

x = 16

[tex]\frac{10}{2} :\frac{x}{7}[/tex]

x · 2 = 10 · 7

2x = 70

2x ÷ 2 = 70 ÷ 2

x = 35

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

The average of a set of [tex]n[/tex] values is equal to the sum of all values in that set divided by [tex]n[/tex].

Conceptually, if [tex]p=n[/tex], the average should the mean of 70 and 92, which is 81. Since the combined mean is actually 86, we know that [tex]n>p[/tex] (just something to keep in the back of your mind).

To solve, write an equation using the definition of arithmetic mean (refer to the first sentence in the answer):

[tex]\frac{70p+92n}{p+n}=86,\\70p+92n=86(p+n),\\70p+92n=86p+86n,\\6n=16p,\\\frac{p}{n}=\frac{6}{16}=\boxed{\frac{3}{8}}[/tex]

Answer:

is 4 an option?

Step-by-step explanation:

I think it is 4

Answer:

Step-by-step explanation:

Hundredth: This is an answer with 2 decimal places on the right. 103.25

Tenth: Answer to 1 place to the right: 103.2

Ten: 100: the zero does not change. You could use scientific notation 1.0*10^2

Unit: 103

hundred: 100

Answer:

k+1/2 =4

subtract 1/2 from both sides

= k = 3.5 or 3 1/2

Answer:3.5

Step-by-step explanation:

9514 1404 393

Answer:

  2 < x < 15

Step-by-step explanation:

The triangle inequality requires all of ...

  (x +11) +(2x +10) > (5x -9)   ⇒   30 > 2x

  (2x +10) +(5x -9) > (x +11)   ⇒   6x > 10

  (5x -9) +(x +11) > (2x +10)   ⇒   4x > 8

The solutions to these are ...

  x < 15

  x > 5/3

  x > 2

So, the final requirement that has x satisfying all of these is ...

  2 < x < 15

Answer:

2/3

Step-by-step explanation:

rise over run

Answer:

The more confident the manager can be that the parameter estimates reflect the true values.

Step-by-step explanation:

Standard error:

The standard error is a parameter that is direct proportional to the margin of error of a confidence interval, that is, the higher the standard error, the higher the margin of error of the confidence interval.

A lower margin of error leads to a more precise interval, thus, a lower standard error will also mean a higher confidence for the estimate, and thus, the correct option is:

The more confident the manager can be that the parameter estimates reflect the true values.

Answer:

[tex]x = 8\tan(50)[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find x

To find x, we make use of the following trigonometry ratio;

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

So, we have:

[tex]\tan(50) = \frac{x}{8}[/tex]

Make x the subject

[tex]x = 8\tan(50)[/tex]

Answer:

the standard error of data set is 2.628

Step-by-step explanation:

Given the data in the question;

set;

x = 9, 13, 21, 30, 31, 31, 34, 25, 28, 20

To get the standard of Error for this data set, we use the formual

S.E = s / √n

First we determine the mean average;

Mean x' = ∑x / n =  ( 9 + 13 + 21 + 30 + 31 + 31 + 34 + 25 + 28 + 20 ) / 10

x' = 242 / 10

Mean x' = 24.2

Next we find the standard deviation s:

x             (x-x')²

9           231.04

13          125.44

21          10.24

30         33.64

31         46.24

31         46.24

34        96.04

25        0.64

28        14.44

20        17.64

Total ∑(x-x')² = 621.6

so Variance = ∑(x-x')² / (n-1) = 621.6 / ( 10 - 1 )  = 621.6 / 9

Variance = 69.0667

Standard deviation S = √Variance

Standard deviation S = √69.0667

Standard deviation S = 8.3106

So we substitute into our formula to get the standard of error;

S.E = 8.3106 / √10

S.E = 2.628

Therefore, the standard error of data set is 2.628

Answer:

2.63

Step-by-step explanation:

Answer:  T=1700

Step-by-step explanation:

Answer:

4.6

Step-by-step explanation:

yes

Answer:

39.50

42.50

Step-by-step explanation:

Age of the 2 men = sum of the ages of the 6 men - sum of the ages of the 4 men

Average = sum of ages / total number of men

35 = sum of ages / 6

sum of ages = 35 x6 = 210

32 = sum of ages / 4

32 x 4 = sum of ages

128

210 - 128 = 82

age of the younger man = x

age of the older man = 3 + x

x + 3 + x = 82

2x + 3 = 82

2x = 82 - 3

2x = 79

x = 79/2 = 39.5

older man = 39.5 + 3 = 42.50

Answer:

y=25*2ˣ.

Step-by-step explanation:

no details.

Answer:

She must take a sample of 56.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation estimate of 1.90

This means that [tex]\sigma = 1.9[/tex]

Wow large a sample must she take if she wants the margin of error to be under 0.5 inch?

This is n for which M = 0.5. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.5 = 1.96\frac{1.9}{\sqrt{n}}[/tex]

[tex]0.5\sqrt{n} = 1.96*1.9[/tex]

[tex]\sqrt{n} = \frac{1.96*1.9}{0.5}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*1.9}{0.5})^2[/tex]

[tex]n = 55.5[/tex]

Rounding up:

She must take a sample of 56.

Answer:48.013

Step-by-step explanation: just found it

Answer:

There are two solutions for [tex]b[/tex]: [tex]b = + 30\cdot z[/tex], [tex]b = -30\cdot z[/tex]

Step-by-step explanation:

By Algebra, we know that a polynomial is a perfect square trinomial if it is of the form:

[tex]a^{2} + 2\cdot a \cdot c + c^{2} = (a + c)^{2}[/tex] (1)

By direct comparison, we have the following system:

[tex]a^{2} = 25\cdot z^{2}[/tex], [tex]c^{2} = 36[/tex], [tex]2\cdot a \cdot c = b[/tex].

There are two possible solutions for [tex]b[/tex]:

1) [tex]a = \pm 5\cdot z[/tex], [tex]c = \pm 6[/tex], [tex]b = + 30\cdot z[/tex]

2) [tex]a = \pm 5\cdot z[/tex], [tex]c = \mp 6[/tex], [tex]b = -30\cdot z[/tex]

Answer:

advertising cost would be $2010

Step-by-step explanation:

y = 10000(5) + 10

y = 2000 + 10

y = 2010

Answer:

$2010

Step-by-step explanation:

Let x = 10,000

[tex]y = \frac{10,000}{5}+10\\y=2000+10\\y=2010[/tex]

Therefore, the predicted advertisement costs for selling 10,000 books is $2010.

Answer:

b=1/2

Step-by-step explanation:

2logb - 3logb = log8b - log4b

log[tex]b^{2}[/tex] - log[tex]b^{3}[/tex] = log8b - log4b

log([tex]\frac{1}{b}[/tex]) = log(2)

∴1/b = 2

∴b = 1/2

Answer:

y = 2( x+5)^2 -4

Vertex (-5,-4)

directrix  y = -33/8

focus (-5, -31/8)

Step-by-step explanation:

First identify the vertex, which is the minimum

Vertex = (-5,-4)

The vertex form is y = a( x-h)^2 + k

y = a( x- -5)^2 -4

y = a( x+5)^2 -4

We need to determine a

Substitute a point on the graph

(-3,4) is on the graph

4 = a( -3+5)^2 -4

4 = a( 2)^2 -4

4 = 4a -4

Add 4 to each side

8 = 4a

Divide by 4

8/4 = a

a=2

y = 2( x+5)^2 -4

To find the focus and directrix, write in standard form

4p(y-k)=(x-h)^2

y+4 = 2(x+5)^2

1/2 (y+4) = (x+5)^2

4p = 1/2

p = 1/8

The focal length is 1/8

Subtract this from the y coordinate to get the directrix

y = -4 -1/8

y = -32/8 - 1/8 = -33/8

Add this to the y coordinate to get the coordinate for the focus the x coordinate the same

(-5, -4+1/8)

(-5, -32/4+1/8)

(-5, -31/8)

Answer:

B) 24

Step-by-step explanation:

Those are alternate interior angle which mean they are congruent or equal to each other

2x=48 divide

48÷2=24

Answer:

B) 24

step by step:

2x = 48 ( two straight lines are parallel forming and the internal stagger angle is equal)