I can't remember how to do this. I need help with this.

How many roots do the functions have in common?
f(x)=x^2-9

Answer:

B. (0, –1); maximum

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

( 0 , − 1 )

Focus:  

( 0 , − 5 /4 )

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

3

4

x

y

−

2

−

5

−

1

−

2

0

−

1

1

−

2

2

−

5

Use the formula  

x

=

−

b

2

a

to find the maximum and minimum.

( 0 , − 1 )

Answer:

a = x² + 11x + 30

Step-by-step explanation:

a = (x + 5)(x + 6)

multiply each term in the first set of parenthesis by each term in the second

a = x(x + 6) + 5(x + 6)

a = (x² + 6x) + (5x + 30)

combine like terms

a = x² + 11x + 30

[tex]6 + (1 + ( - (3 + 5) - 8) + 2 \\ 6 + (1 + 2 - 8) + 2 + 10 \\ 6 + ( - 5) + 2 + 10 \\ 6 - 5 + 2 + 10 \\ \\ = 13[/tex]

Step By Step Explanation:

Answer:

e

Step-by-step explanation:

The spread of a data can be determined by calculating the range of the data

Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

A = 7 - 1 = 6

B = 9 - 3 = 6

C = 8 - 1 = 7

D = 7 - 1 = 6

E = 9 - 1 = 8

Dataset E has the largest spread

Answer:

Data set:E

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

B²=H²-P²

B²=15²-12²

B²=81

√B=9

therefore it's 9

Answer: 2000.25 ft

Step-by-step explanation:

Given

Height of lighthouse [tex]h=175\ ft[/tex]

Angle of elevation [tex]\theta=5^{\circ}[/tex]

Suppose, you are x feet away from lighthouse

From the figure, we can write

[tex]\Rightarrow \tan 5^{\circ}=\dfrac{175}{x}\\\\\Rightarrow x=\dfrac{175}{\tan 5^{\circ}}\\\\\Rightarrow x=2000.26\ ft[/tex]

Thus, the ship is 2000.25 ft away from the light-house

Answer:

3 2/3 will be 3 10/15

1 4/5 will be 1 12/15

Divide 3 into 15 and get 5; 5 x 2 = 10

Divide 5 into 15 and get 3; 3 x 4 = 12

So new equivalent fractions are 3 10/15

                                              and 1 12/15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Since range is the difference between the highest valued character and the smallest

20-5=15

Answer:

x=9

Step-by-step explanation:

so the angles of a triangle add up to 180 and since it shows two angles of 60 which makes 120, you have 60 more degrees which means A has to be 60 degrees. so if all of the angles are the same then the side lengths are the same so since it already shows one side =9 then x=9

Answer:

x=9

Step-by-step explanation:

missing angle + 60 + 60=180 degree (sum of interior angles of a triangle

missing angle + 120 =180

missing angle =180 -120

missing angle =60 degree

since all angles are 60 degree it is an equilateral triangle and all sides of a equailateral triangle are equal .So, x is also 9

Answer:

1 cm =5ft

2.7 cm =?

cross multiplying gives:

2.7 X 5= 13.5 ft

Answer:

Step-by-step explanation:

h × b × [tex]\frac{1}{2}[/tex] = A   (this is the formula)

2 × 3 × [tex]\frac{1}{2}[/tex] =  3m²

I believe you forgot to mention some information...but hope this helps...

Answer:

answer is D.Y=>X^2-3

Step-by-step explanation:

use desmos . com and go to graphing calculator. plug formula in.

Answer:

b

Step-by-step explanation:

okidoki

Let me know if anything's unclear

Answer:

It is D and if you don't the y-values increase by 9.

Answer:

C

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, so

scale factor = [tex]\frac{EF}{BC}[/tex] = [tex]\frac{11}{66}[/tex] = [tex]\frac{1}{6}[/tex] → C

Answer:

[tex]6(x+9)^{2}[/tex]

Step-by-step explanation:

6 x^2+108 x  +486

6(x^2+18 x  +81)

6(x+9)(x+9)

[tex]6(x+9)^{2}[/tex]

Answer:

[tex]6(9+x {)}^{2} [/tex]

Step-by-step explanation:

[tex]486+108x+6x ^{2} [/tex]

[tex]6 \times 81+108x+6 {x}^{2} [/tex]

[tex]6(81+18x+ {x}^{2} )[/tex]

[tex]6(9+x {)}^{2} [/tex]

Step-by-step explanation:

[tex]{\huge{\boxed{\sf{{Hello \: mate (. ❛ ᴗ ❛.) }}}}} \\ \\ {\huge{\underline{\bf{\pink{answer \:✓✓}}}}} \\ \\ \\\blue{Equation = > 4x ^{2} + 16x - 4 } \\ \\\mathcal\blue{ = > greatest \: common \: factor \: is \: 4} \\ \\ {taking \: out \: 4 \: as \: common \: } \\ \\ \huge\mathfrak\red{we \: left \: with} \\ \\ {{\boxed{\sf{\green{D.) 4(x^2 + 4x-1) \:✓✓✓✓}}}}}[/tex]

Answer:

prime numbers

Step-by-step explanation:

not composite since,example, 2 is prime

not even since,example, 19 is odd

not odd since,example, 2 is even

Answer:

the answer is

prime numbers.

9514 1404 393

Answer:

  n cm = 3 cm

Step-by-step explanation:

The total surface area is the sum of the base areas and the lateral area. The base areas are the sum of the areas of the rectangle and triangle that define the shape of the base.

The rectangle has dimensions 5 cm by n cm. The triangle is 5-2 = 3 cm high and 4 cm at the base. Then the front face area is ...

  A = lw + 1/2bh

  A = (5 cm)(n cm) +1/2(4 cm)(3 cm) = (6 +5n) cm²

The lateral area is the product of the perimeter of the base and the depth of the prism.

  A = Ph

  A = (5 cm + n cm + 2 cm + 5 cm + 4 cm + n cm)(4 cm) = (64 +8n) cm²

The total surface area is the sum of the areas of the two bases and the lateral area:

  130 cm² = 2(6 +5n) cm² +(64 +8n) cm²

  130 = 76 +18n . . . . . . divide by cm², collect terms

  54 = 18n . . . . . . . . . subtract 76

  3 = n . . . . . . . . . . divide by 3

The value of n in centimeters is 3 cm.

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

Arrange the value into the ascending order:

[tex]62, 88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]

Calculating the Range:

[tex]= Greatest - Lowest\\\\= 100 - 62\\\\ = 38[/tex]

Outlier =  This might be the value "far" from other data values= 62

The range of scores would be, sans outlier,

 [tex]88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]

Calculating the range without outlier [tex]= 100 - 88 = 12[/tex]

Inter Quartile Range [tex]= Q_3 - Q_1[/tex]

[tex]IQR = 98 - 89 = 11[/tex]

Calculating the IQR without outlier [tex]= 99 - 89.5 = 9.5[/tex]

Therefore,

Option a is "True".

Option b is "True".

Option c is "True".

Option d is "False".

Option e is "False".

Option f is "True".

Answer:

Horizontal

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

20^2 + x^2 = 25^2

400 + x^2 = 625

subtract each side 400

it results to 225

square root 225, to equals this -->

X = 15

Answer:

15

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Jeffrey made scale drawings of the house a lot

He used a scale of 7 inches: 4 feet

The actual width of the backyard is 48

Therefore the width of the backyard in the drawing is

= 48/4

= 12

Answer:

x = 36 km

Step-by-step explanation:

The triangle is a right triangle. To find x, apply Pythagorean theorem which is given as: c² = a² + b²

c = hypotenuse/longest leg = 45 km

a = x

b = 27

Thus:

45² = x² + 27²

2,025 = x² + 729

2,025 - 729 = x²

1,296 = x²

√1,296 = x

36 = x

x = 36 km

Answer:

y^2

Step-by-step explanation:

Here, we want to get the greatest common factor

Looking at the two, 14 and 15 has no common factors

So, we shift focus to the y raised

We have this as ;

y^2( 15y^2 + 14)

Thus, y^2 is the common factor

Answer:

The domain is {3,6,−1,5,−4}

Step-by-step explanation:

Answer:

3,6,-1,5,-4.

Step-by-step explanation:

The domain is the x-value or the first number in the ordered pair. For example: (5,2). The x-value is 5 so that means that the domain is 5. Therefore, for this function, the domain will be 3,6,-1,5,-4.

If this helps please mark as brainliest

Step-by-step explanation:

everything can be found in the picture