What is the perimeter of ABDE?

The quadratic function f(x) = x² has the smallest x-intercept value in comparison with the linear function f(x) = 3 · x - 9, which is located at x = 0.

x-intercept is the point of a function that goes through the x-axis. Quadratic functions have at most two x-intercepts and linear functions have always one x-intercept.

In both expressions those intercepts are found by solving expression for x when y is equal to zero. In this question we must determine the smallest x-intercept value from one of the two polynomic functions:

a) f(x) = 3 · x - 9

3 · x - 9 = 0

x = 3

b) f(x) = x²

x² = 0

x = 0

The quadratic function f(x) = x² has the smallest x-intercept value in comparison with the linear function f(x) = 3 · x - 9, which is located at x = 0.

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The correct answer to match the graph is 1 ⇒C, 2⇒ D 4 ⇒B 3⇒ A respectively.

What is the definition of a linear equation?

It is described as a relationship between two variables that results in a straight line if the graph of the linear equation is plotted.

When just one variable is involved in a linear equation, the equation is referred to as a linear equation in one variable.

The four graph are attached in the attachment.

Hence,the correct answer to match the graph is 1 ⇒C, 2⇒ D 4 ⇒B 3⇒ A respectively.

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7y - (4y - 14) = 23

---Distribute the negative sign into the terms in the parentheses

7y - 4y + 14 = 23

---Combine like terms

3y + 14 = 23

---Subtract 14 from both sides

3y = 9

---Divide both sides by 3

y = 3

Answer: y = 3

Answer Choice: A, 3

Hope this helps!

Answer:

A. The solution is y = 3.

Step-by-step explanation:

Given

Distribute the value to the terms in parentheses.

Simplify like terms and subtract 14 from each side.

Divide by 3 on each side.

A. The solution is y = 3.

Answer:

A) in Step 2

Step-by-step explanation:

Notice that x+6 and x-2 are factors of the expression, and they must be set equal to 0. The correct step would be x+6=0 and x-2=0. This student used the incorrect signs for the factors.

Using an exponential function, it is found that it will take 3,252 years for the sample to degrade to 4.5kg.

It is given by:

[tex]A(t) = Pe^{-kt}[/tex]

In which:

The half-life is of 21,400 years, hence, A(21400) = 0.5P, and this is used to find k.

[tex]A(t) = Pe^{-kt}[/tex]

[tex]0.5P = Pe^{-21400k}[/tex]

[tex]e^{-21400k} = 0.5[/tex]

[tex]\ln{e^{-21400k}} = \ln{0.5}[/tex]

[tex]-21400k = \ln{0.5}[/tex]

[tex]k = -\frac{\ln{0.5}}{21400}}[/tex]

k = -0.00003239005

Hence, considering the initial mass is of P = 5 kg, the amount after t years is given by:

[tex]A(t) = 5e^{-0.00003239005t}[/tex]

The amount will be of 4.5 kg at t for which A(t) = 4.5, hence:

[tex]4.5 = 5e^{-0.00003239005t}[/tex]

[tex]e^{-0.00003239005t} = 0.9[/tex]

[tex]\ln{e^{-0.00003239005t}} = \ln{0.9}[/tex]

[tex]-0.00003239005t = \ln{0.9}[/tex]

[tex]t = -\frac{\ln{0.9}}{0.00003239005}[/tex]

t = 3252.

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Answer:

[tex]x^{7}[/tex]

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{^{a^{n} } }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{x^{9} }{x^2}[/tex] = [tex]x^{(9-2)}[/tex] = [tex]x^{7}[/tex]

The expression (x⁹)/(x²)  in single exponent is x⁷.

To write the expression (x⁹)/(x²) using a single exponent

we can apply the exponent rule for division, which states that when dividing two exponential expressions with the same base, we subtract the exponents:

[tex]\frac{a^m}{a^n}=a^m^-^n[/tex]

(x⁹)/(x²)

= x⁹⁻²

= x⁷

Therefore, the expression (x⁹)/(x²)  can be simplified to x⁷.

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Based on the information above, the main argument of this paper is that violent video games should be banned for teenagers because they have negative effects on their behavior.

The excerpts focus on two main arguments which are:

According to the above, the claims and arguments would be as follows:

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In triangle ABC, If A is located at (-1,2), A' will be located at (-3, 6)

To answer the question, we need to know what dilation is

Dilation is a form of transformation in which the size of an object is increased or decreased by a factor.

For any object with coordinates (x,y) dilated by a factor k, the new coordinates of the dilated object is (kx, ky).

Given that triangle ABC is going to be dilated by a scale factor of 3 and A is located at (-1, 2).

Since

The new coordinates of A' = (kx, ky)

= (3 × -1, 3 × 2)

= (-3, 6)

So, A' will be located at (-3, 6)

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Answer:

B

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Because.....

  -11 - 10 = -21

-32 - (-11) = -21

This tells us that the sequence is adding by -21, which is why the next 2 terms will be -53 and - 74 since....

-32 + -21 = -53

-53 + -21 = - 74

Hence, the answer is A.

Answer:

The answer is attached.

Answer: Heyaa! ~

Your Answer is... 26.8

Step-by-step explanation:

The estimated answer is D. 27!

Hopefully this helps you! ^^

Answer:

27

Step-by-step explanation:

12.18 + 14.62= 26.80

if the number after the point is greater than 5 or equal to 5, we will add 1 to the number before the point, so now the number is 8 we will add 1 to the number before the point

26+1=27

therefore the sum of 12.18+14.62 = 27

Answer:

3

Step-by-step explanation:

32 - 5v = 3v + 8

Subtract V from both sides

So . .

= 32 -8v = 8

Now . .

Subtract 32 from both sides

Now divide to get your answer!

-24 / -8 = 3

Answer:

Mostly millimeter

Step-by-step explanation:

Length has several unit like m,cm, mm, feet, miles, inches, km etc

we measure the length in units which is more understandable or readable. like thickness of mobile is around 3mm to 1cm or we can even measure in inches like .5inch but if we measure it in meter or feet it will be difficult to understand, read and write similarly the unit of length most suitable for measuring the height of a backyard tree is meter or feet because the length of tree is around 10 feet to 25 feet or 2meter to 6meter if we measure the length in cm or mm or in inches then it will be difficult to understand, read and write.

Answer:

A. OEO, EOE, EEE, EEO, OOE, OEE

A (probability). [tex]\frac{3}{4}[/tex]

B. OEO, EOE

B (probability). [tex]\frac{1}{4}[/tex]

C. EOE, EEE, OOE, OEE

C (probability). [tex]\frac{1}{2}[/tex]

hope this helps:)

Answer:

A. OEO, EOE, EEE, EEO,  ------- (probability).  3/4

B. OEO, EOE ------(probability). 1/4

C- EOE   --------------(probability). 1/4 aswell

Step-by-step explanation:

Sorry it took so long

I hope this helps C:

Answer:

Your first step in solving the system would be to substitute the value of a variable into one of the equations

Step-by-step explanation:

We know that x = 2y + 2 and y = -1/3x + 4, so we could insert one of these values as the variable in one of the equations

If we were to insert -1/3x + 4 for y, our new equation would be:

x = 2(-1/3x + 4) + 2 (as you can see, the value of y was inserted into the equation)

Find the perimeters of all the figures. = ADD all four sides of shape.

(Length + Width + Height + Base)

Answer:

2106 m

Step-by-step explanation:

The number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.

Mixed numbers are the number which are used to write the whole number and the fraction number combined. As the whole number and fraction number are expressed together, thus these numbers are called mixed numbers.

Jeff is making a fruit salad. He has 1 1/3 cups blackberries. In the fractional number,

[tex]\text{Blackberries}=1\dfrac{1}{3}\\\text{Blackberries}=\dfrac{3+1}{3}\\\text{Blackberries}=\dfrac{4}{3}[/tex]

Jeff has 2 1/2 cups of strawberries. In the fractional number,

[tex]\text{strawberries}=2\dfrac{1}{2}\\\text{strawberries}=\dfrac{4+1}{2}\\\text{strawberries}=\dfrac{5}{2}[/tex]

Thus, the number of cups of blackberries does he have for every 1 cup of strawberries,

[tex]r=\dfrac{\dfrac{4}{3}}{\dfrac{5}{2}}\\r=\dfrac{4\times2}{3\times5}\\r=\dfrac{8}{15}[/tex]

Hence, the number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.

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Answer:

[tex]\boxed{\bf 7 \times 10 {}^{ - 3}} [/tex]

Step-by-step explanation:

Write 0.7 *10^-2 into scientific notation:

Hope this helps! ^^"

Answer:

[tex]7 \times 10^{-3}[/tex]

Step-by-step explanation:

[tex]\begin{aligned}\dfrac{6.3 \times 10^{-5}}{9 \times 10^{-3}} & =\dfrac{6.3}{9} \times \dfrac{10^{-5}}{10^{-3}}\\\\& = 0.7 \times \dfrac{10^{-5}}{10^{-3}}\end{aligned}[/tex]

[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]

[tex]\begin{aligned}\implies 0.7 \times \dfrac{10^{-5}}{10^{-3}} &=0.7 \times 10^{-5-(-3)}\\& = 0.7 \times 10^{-2}\end{aligned}[/tex]

[tex]\textsf{Rewrite}\:0.7\:\textsf{as}\: 7 \times 10^{-1}:[/tex]

[tex]\implies 0.7 \times 10^{-2}=7 \times 10^{-1} \times 10^{-2}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \times a^c=a^{bc}:[/tex]

[tex]\implies 7 \times 10^{-1} \times 10^{-2}=7 \times 10^{-3}[/tex]

Answer:

C. x = -1

Step-by-step explanation:

Here :

log 4 (x² + 1) = log 4 (-2x)

Then :

x² + 1 = -2x

x² + 2x + 1 = 0

(x + 1)² = 0

x + 1 = 0

x = -1

Answer:

5x - 8y =17

y+5 =3x

Answer | (3,4)

Step-by-step explanation:

I used a calculator

Answer:

[tex]\sf slope: \boxed{\bf \frac{1}{3} }[/tex]

Explanation:

[tex]\sf slope :\dfrac{y_2-y_1}{x_2-x_1} =\dfrac{rise}{run} \ \ \ \ where \ (x_1, \ y_1) ,(x_2, \ y_2) \ are \ points[/tex]

Find slope:

[tex]\rightarrow \sf \dfrac{x_2-x_1}{y_2-y_1}[/tex]

insert values

[tex]\rightarrow \sf \dfrac{3-5}{-4-2}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{1}{3}[/tex]

Answer: -1/3

Step-by-step explanation:

The equation to find the slope of a line is [tex]\frac{y2 - y1}{x2-x1}[/tex]. Y1 is 5, Y2 is 3, X1 is 2, and X2 is -4. Plug these numbers in to get the equation [tex]\frac{5-3}{(-4)-2}[/tex]. 5-3 = 2. (-4)-2 = -6. This gives a slope of 2/-6, which can be reduced by dividing the numerator and denominator by 2 to get a final slope of -1/3.

Answer:

  (B)  38.4 m³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the height.

__

The picture tells you the area of the pool is 24 m² and its height is 1.6 m. The volume formula tells you its volume is ...

  V = Bh = (24 m²)(1.6 m) = 38.4 m³

The volume of the prism is 38.4 cubic meters.

Answer:

potential to kinetic energy

The value of the constant of variation is 3. The correct option is the third option- 3

From the question, we are to determine the constant of variation.

Let the constant of variation be k

From the give information,

A quantity h varies directly with w and inversely with p

That is,

[tex]h \propto \frac{w}{p}[/tex]

Introducing the constant of variation, k, we get

[tex]h = k\frac{w}{p}[/tex]

Also, from the give information,

w = 4

p = 6

h = 2

Putting the parameters into the relation, we get

[tex]2 = k \times \frac{4}{6}[/tex]

[tex]6\times 2 = 4k[/tex]

[tex]k = \frac{6\times 2}{4}[/tex]

k = 3

Hence, the value of the constant of variation is 3. The correct option is the third option- 3

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Answer:

Answer is 3

Step-by-step explanation:

~Hope this helps!

Answer:

y = 1/5x + 3

Step-by-step explanation:

y = mx + b

m: slope = 1/5

b: y - intercept

(x, y): (-5, 2)

2 = 1/5(-5) + b

2 = -1 + b

add 1 to both sides to get b alone

2 + 1 = -1 + b + 1

3 = b

Answer:

21 cats!

Step-by-step explanation:

the ratio is 3:4

4 being dogs    -     28/4 = 7      -      7 * 3 = 21

hope this helps!!! <3

The surface area of solid Y given the ratio of volume to surface area of solid X is 2,369.25cm²

Volume:

Surface area:

Ratio of volume to surface area of solid X and Y respectively

64 : 208 = 729 : x

64/208 = 729/x

64 × x = 208 × 729

64x = 151,632

x = 151,632 / 64

x = 2,369.25cm²

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