Let f(x) = ............

Answer:

Option (2)

Step-by-step explanation:

Given expression is, y = (x + 3)² + (x + 4)²

By solving this expression,

y = x² + 6x + 9 + x² + 8x + 16

y = 2x² + 14x + 25

y = (2x² + 14x) + 25

y = 2(x² + 7x) + 25

y = 2[x² + 2(3.5x) + (3.5)² - (3.5)²] + 25

y = 2[x² + 2(3.5x) + (3.5)²] - 2(3.5)² + 25

y = 2(x + 3.5)² - 24.5 + 25

y = 2(x + 3.5)² + 0.5

[tex]y=(x+\frac{7}{2})^2+\frac{1}{2}[/tex]

Therefore, Option (2) will be the vertex form.

Answer:

HI = 3 and HG = 3

Step-by-step explanation:

As you see from the bottom line, the length of the HIJ line = 9. 9 - 6 (6 is the length of the IJ line) = 3, so 3 is the length of the HI line. On the second picture, 11-8=3, so HJ = 3.

Edit: Whoops, i didn't see the second picture.

Answer:

Step-by-step explanation: it should be on quizlet here the points go out fast

Answer:

137

Step-by-step explanation:

for the two triangles

formula=1/2×b×h

=1/2×6×4=12

since there are 2 triangles=12×2=24

for the side rectangles

area=l×b

=7×5=35

since there are 2 rectangles=35×2=70

the rectangle in the middle=7×6=42

now add all of them = 25+70+42=137

Its c, as x increases y increases and then decreases

Answer:

1) [tex]1.276 \times 10^{7}\,m[/tex], 2) [tex]5.101 \times 10^{8}\,km^{2}[/tex], 3) [tex]5.974 \times 10^{24}\,kg[/tex], 4) [tex]7.723\times 10^{9}[/tex], 5) [tex]1.350 \times 10^{18}[/tex], 6) [tex]3.618\times 10^{8}\,km^{2}[/tex]

Step-by-step explanation:

(This exercise is written in Portuguese and for that reason explanation will be held in Spanish, which has strong similarities with that language)

La notación científica presenta el siguiente formato:

[tex]x.y \times 10^{n}[/tex]

Donde:

[tex]x[/tex] - Un dígito entero.

[tex]y[/tex] - Dígitos decimales consecutivos.

[tex]n[/tex] - Grado de potencia.

Para cálculos cotidianos se recomienda el uso de tres decimales consecutivos. A continuación, se presentan los números convertidos a la forma de notación científica:

1) [tex]12.756.000\,m[/tex]

El grado de la potencia es siete (7).

[tex]1.276 \times 10^{7}\,m[/tex]

2) [tex]510.072.000\,km^{2}[/tex]

El grado de la potencia es ocho (8).

[tex]5.101 \times 10^{8}\,km^{2}[/tex]

3) [tex]5.973.600.000.000.000.000.000.000\,kg[/tex]

El grado de la potencia es veinticuatro (24).

[tex]5.974 \times 10^{24}\,kg[/tex]

4) [tex]7.722.522.000[/tex]

El grado de la potencia es nueve (9).

[tex]7.723\times 10^{9}[/tex]

5) [tex]1.350.000.000.000.000.000[/tex]

El grado de la potencia es dieciocho (18).

[tex]1.350 \times 10^{18}[/tex]

6) [tex]361.800.000\,km^{2}[/tex]

El grado de la potencia es ocho (8).

[tex]3.618\times 10^{8}\,km^{2}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Here, given the function f(x), we want to calculate f(1)

Mathematically, this means we shall substitute 1 for the value of x in that function.

Thus, given F(x) = 1-x

Then F(1) would be = 1-1 = 0

Answer:

D

Step-by-step explanation:

In a function no X's can repeat which is what the vertical line test is. And in this case no X's repeat therefore, making it a function.

Answer:

D

Step-by-step explanation:

parabolas are functions

the graphed is a parabola

it passes the vertical line test.

Answer:

Adding 13 to both sides we get x = 8.

Answer:

x = 8

Step-by-step explanation:

x - 13 = -5

x = 8

Answer:

I would say B.

Step-by-step explanation:

I used synthetic division for this, so I'm unsure if this is right. I have yet to learn exponents with it. Here's how I wrote it : 3] 2 -3 -5 -12. I bring down the 2 and multiply it by three to get six. After that, I multiply the sum of it (3) and got 9. I do the same, get -4 and multiply it another time, getting positive 12. I add the twelves together, get zero, and put it together as 2x^2+3x+4.

Hope this helps!

Answer:

-1/5

Step-by-step explanation:

Answer:

It's constant

Step-by-step explanation:

at those points, the graph is going ---------------- so, it is constant.

// have a great day //

Answer:

Option (3). x < 3

Step-by-step explanation:

Given function is a logarithmic function,

[tex]y=\text{ln}[\frac{(-x+3)}{2}][/tex]

We know that logarithm is defined for all positive real numbers except zero.

[tex]\frac{(-x+3)}{2}>0[/tex]

(-x + 3) > 0

-x > -3

x < 3

That means the given logarithmic function is defined for all real values lees than 3.

And the domain of the function will be x < 3

Option (3) will be the answer.

Answer:

x < 3        Option C on E2020.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) U -----> union

Union  of two sets is the set of all distinct elements that are in A or B

A U B = {8 , 14 , 17 , 16, 9 , 15}

∩ ----------> intersection

Intersection of two sets is the set of all distinct elements  that are in both A and B

A ∩ B = {14,17}

b) A' = {9 , 15 , 16 , 10 , 11 , 12 , 13}

P(A') = 7/10

Answer:

3^ 6

Step-by-step explanation:

3^-2 * 3^8

We know that a^b * a^c = a^(b+c)

3^(-2+8)

3^ 6

Answer: [tex]3^{6}[/tex]

Step-by-step explanation: Since these two powers have the same base of 3, we can multiply them together by adding their exponents.

So [tex]3^{-2}[/tex] [tex]x[/tex] [tex]3^{8}[/tex] is [tex]3^{6}[/tex].

This idea is called the product rule.

Answer:

0.14

Step-by-step explanation:

Answer:

5^18 in index form is the answer :)

Step-by-step explanation:

(5^3)^6

In a polynomial like this the rule is that,

(a^m)^n

= a^m*n (multiply the exponents)

So let a be 5

m be 3 and n be 6

5^3^6

= 5^3*6

= 5^18

Answer:

C. -1

Step-by-step explanation:

Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (1,7) and (3,5).

[tex]m=\frac{5-7}{3-1} =\frac{-2}{2} =-1[/tex]

The slope is -1, and therefore, Option C should be the correct answer.

Answer:

X= 8, 2

Step-by-step explanation:

So, to solve answers like these you have to have to take the root of both sides and then solve.  Please let me know if you have any questions or if I did not answer it correctly or misunderstood the question so that I can help correct my mistakes.  Hope this helps!!

Answer:

Answer: (x-2) • (x-8)

(X-5)^2+11=20

Step by Step explanation:

1. 1 • 16 = 16

2. Find two factors of 16 which will be -10

-16 + -1 = -17

-8 + -2 = -10

3. x2 - 8x - 2x - 16

4. x • (x-8)

2 • (x-8)

5. (x-2) • (x-8)

(((( Yo Welcome)))

Answer:

b = 7

Step-by-step explanation:

4b + 11 = 39

Subtract 11 to both sides

4b = 39-11

4b = 28

Dividing both sides by 4

b = 7

Answer:  i) Both A and R are true and R is the correct explanation of the assertion

Step-by-step explanation:

When Calcium Oxide (Quick lime) reacts with water, it is a very rigorous reaction that produces a lot of heat and may even boil the water or burn the skin if it comes into contact with it. The resulting compound is Calcium Hydroxide. The Assertion is therefore true.

A Combination reaction does indeed result in only a single product being created or formed after a reaction. The above reaction is indeed a Combination reaction due to the production of only one Compound being Calcium Hydroxide.

Answer:

Inches

Step-by-step explanation:

Answer: The correct answer is inches because radius and Diameter are always given in a single form unit of measure.

Inches units represents the diameter of the circle.

Please mark brainliest

Hope this helps.

Answer:

d. 192 m^2

Step-by-step explanation:

just multiply length and width

Answer:

the answer is => c = 5

...

Answer:

C

Step-by-step explanation:

Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Thus y = (x + 7)²

represents a shift to the left of 7 units → C

The graph y = x² will slide the graph 7 units left by replacing x with (x+7) thus, the correct option is (C).

How to plot a graph?

In order to plot a graph, we have to substitute all the x's values into a function.

Find out the y's value corresponding to the x's and plot the graph in the coordinate geometry.

By the replacing x by (x + a) in the function y = f(x), the function is going to shift either left or right horizontaly.

1. If a is positive then the graph will slide left of the units.

2. If a is negative then the graph will slide right of the units.

Given that, y = x² is need to replace with y = (x+7)²

Since 7 is positive so the graph will slide 7 units left.

For more information about the graph

https://brainly.com/question/16608196

#SPJ2

Answer:

7

Step-by-step explanation:

as it does that F thing where its equal to it....

Answer:

I wont answer for you, but ill guide you in the right direction

Step-by-step explanation:

Answer:

The slope is 0/ No slope.

All Y values are the same

Step-by-step explanation

just took a test on it

Answer:

B

Step-by-step explanation: