please help me asap :)

The equation in the vertex form of g(x) is:

[tex]g(x) = (x + 1)^2 - 38[/tex]

We know that g(x) is a translation of 2 units below and 3 units to the left of f(x).

So first, let's rewrite f(x) to its vertex form:

[tex]f(x) = x^2 - 4x - 32[/tex]

The vertex is at:

[tex]x = -(-4)/2*1 = 2[/tex]

The y-value of the vertex is:

[tex]f(2) = 2^2 - 4*2 - 32 = -36[/tex]

Then the vertex form of f(x) is:

[tex]f(x) = (x - 2)^2 - 36[/tex]

If we move this vertex 2 units below, and 3 units to the left, then we have:

[tex]g(x) = f(x +3) - 2\\\\g(x) = (x - 2 + 3)^2 - 36 - 2\\\\g(x) = (x + 1)^2 - 38[/tex]

That is the equation for g(x) in vertex form.

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Answer:

No.

Step-by-step explanation:

This problem in scientific notation would be 9.3 * 10^10.

The option second D: [–5, 7]; R: [–5, 1] is correct the domain is D: [–5, 7], and the range is R: [–5, 1]

An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.

We have an ellipse equation:

[tex]\rm x^{2}+4y^{2}-2x+16y-19=0[/tex]

We can write the above equation as:

[tex]\rm \dfrac{\left(x-1\right)^{2}}{36}+\dfrac{\left(y+2\right)^{2}}{9}=1[/tex]

The domain will be:

D: [–5, 7]

The range will be:

R: [–5, 1]

Thus, the option second D: [–5, 7]; R: [–5, 1] is correct the domain is D: [–5, 7] and the range is R: [–5, 1]

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Answer:

Look below!

Step-by-step explanation:

From the picture, the answer is A.

From the points, calculate the slope using y2-y1/x2-x1

you will find that the slope is -1

parallel lines have the same slope

so y = -x+1 is the correct answer

now,

parallel lines never intersect

therefore, they have no solution.

Answer: 10

Step-by-step explanation:

[tex]\frac{5}{x+5} (2x-5(2))\\\frac{5}{x+5} (2x-10)\\\frac{10x-50}{x+5}\\\frac{10(x+5)}{x+5} \\\frac{10}{1} \\10[/tex]

Answer:

y - 5 = -2(x + 3)

Step-by-step explanation:

When you write an equation in point-slope form, you only need two things: a point and a slope.

Given:

point: (-3, 5)

slope (m): -2

The standard point-slope equation is

y - y₁ = m(x - x₁)

Plug in what you know.

y - (5) = -2(x - (-3))

Simplify.

y - 5 = -2(x + 3)

This is your equation.

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Answer: 8

Step-by-step explanation:

As corresponding sides of similar triangles are proportional,

[tex]\frac{RX}{RB}=\frac{XE}{BO}\\\\\frac{6}{15}=\frac{a}{20}\\\\a=20\left(\frac{6}{15} \right)=\boxed{8}[/tex]

Using a system of equations, it is found that the number of golfers in the cafeteria is of 5.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

The number of baseball players is one less than twice the number of golfers, hence:

x = 2y - 1.

Since x = 9:

9 = 2y - 1

2y = 10

y = 5.

There are 5 golfers in the cafeteria.

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Step-by-step explanation:

T = 55 + 6w

after 8 week $103

The most appropriate Venn diagram is known to be option b in the image shown.

A Common multiples are known to be the multiples that are said to be common to two or that have more numbers in them.

The Least Common Multiple ( LCM ) is known to be a term that connote  the Lowest Common Multiple ( LCM ) and also that has the Least Common Divisor ( LCD).

From the image shown the lowest multiples are 5², 2⁶, 3 while the greatest common factor is 2⁶.

Option B is correct because the greatest common factor which is  2⁶ can only be found in the middle and this was gotten when you add:

2³ . 2³

Collect like terms

2 ³⁺³

2⁶

Therefore, the greatest common factor which is  2⁶

To get the  Least Common Multiple, one need to add all the factors in the Venn diagram which are therefore:

5², 2³ . 2³, 3

=5², 2 ³⁺³, 3

=5², 2⁶, 3

Therefore, The most appropriate Venn diagram is known to be option b in the image shown.

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Answer:

y = 2/3x + 4/3

Step-by-step explanation:

Voy a suponer que necesitas resolver para y.

2x + 3y = 4

3y = -2x + 4

y = -2/3x + 4/3

Answer:

L is not valid.

Step-by-step explanation:

For any triangle, the sum of the two legs must be greater than the hypotenuse. Otherwise the two legs would not be long enough to touch.

Answer:

L

Step-by-step explanation:

to add to the previous basically correct answer :

for a triangle the sum of any 2 sides must be greater than the third side (not just legs and Hypotenuse).

for all other options any combination of sum of 2 sides being bigger than the third side works.

but for L

2 + 5 = 7, which is smaller than the third side (8). so, this cannot be a triangle.

An equation is formed when two equal expressions are equated together. The value of x in the equation [√(x+7)]-11=2 is 162.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution for x in the equation [√(x+7)]-11=2 can be solved as,

[tex]\sqrt{x+7}-11=2\\[/tex]

Using the addition property of equality,

[tex]\sqrt{x+7} -11+11= 2+11\\\\\\\sqrt{x+7} = 13[/tex]

Squaring both the sides of the equation,

x + 7 = 169

Using the subtraction property of equality,

x + 7 - 7 = 169 - 7

x = 162

Hence, the value of x in the equation [√(x+7)]-11=2 is 162.

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The ordering-quantity that should be recommended will be 117 units.

The following can be deduced from the information given:

Demand = 679

Ordering cost = 7

Holding cost = 10%

Ordering quantity will be:

= ✓(2 × Demand × Ordering cost / Holding cost)

= ✓(2 × 679 × 7/0.1)

= ✓13580

= 116.53

= 117

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Answer:

yes

Step-by-step explanation:

because bank

Answer:

a

Step-by-step explanation:

substitute x = 10 into f(x) , that is

f(10) = 2(10) + 3 = 20 + 3 = 23

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[tex]\large \bold {ANSWER}[/tex]

[tex]\large \bold {SOLUTION}[/tex]

Given the first-degree function:

[tex]\Large\begin{array}{c}\rm f(x)=2x+3\end{array}[/tex]

We were asked to determine the value of f(10), so, to find its value, just replace the 10 where there is x in the function, see:

[tex]\begin{gathered}\Large\begin{array}{c}\rm f(x)=2x+3\\\\ \rm f(10)=2\cdot 10+3\end{array}\end{gathered}[/tex]

You see, we put that dot there, which indicates multiplication, because when a number is next to a letter it indicates that it is multiplying, thus:

[tex]\begin{gathered}\Large\begin{array}{c}\rm f(10)=2\cdot 10+3\\\\ \rm f(10)=20+3\\\\ \red{\boxed{\rm f(10)=23}}\checkmark\end{array}\end{gathered}[/tex]

Hence, the value of f(10) in this function is equal to 23.

Using the Empirical Rule, it is found that:

It states that, for a normally distributed random variable:

Considering the mean of 88% and the standard deviation of 4%, the scores that are within 2 standard deviations of the mean are:

68% are within 1 standard deviation of the mean, hence, out of 100:

0.68 x 100% = 68 scores.

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Answer:

It doesn't say anything about "Length" and "Width".

Step-by-step explanation:

Brainlest . Just press the .

Answer: We can take 2 common we could also write this as 2 times X plus y.

Step-by-step explanation:

Answer:

A or 19/5

Step-by-step explanation:

To solve first we isolate are variables so we distubte to get -2y-2+21=3y then we add 2y to the opposite side to get -2+21=5y. Then we add -2+21 to get 19 so are equation is 19=5y. Next we just divide 19 by 5 to get y=(19/5) or option A

Answer:

C. 3x - 9

Step-by-step explanation:

3x – y = 9 ___(1)

8x – 4y = 0 ___(2)

From (1) eq.

3x – y = 9

– y = 9 – 3x

y = - (-3x + 9)

y = 3x – 9

Hence, 3x - 9 should be substituted in the second equation to get the required answer.

Answer:

c

Step-by-step explanation:

solve for y in the first equation

y = 3x - 9

when you substitute, you will get a value of 9 for x and 18 for y

Answer:

10k.

Step-by-step explanation:

1) if for the 1st position can be used 0-9 digits (10 digits), for the 2d - 0-9 digits, for the 3d - 0-9 digits and for the 4th - 0-9 digits, then

2) the required number of pwd is: 10*10*10*10=10⁴=10000.

Press the Linear Regression button to generate the regression line.

We have given that, regression line using a regression calculator

We have to determine how to graph a scatterplot and its regression line using a regression calculator.

Before entering data into the regression calculator, it is important to determine which variable should be associated with the x-axis and which with the y-axis.

Regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables.

Enter the data pairs.

Press the Linear Regression button to generate the regression line.

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: log_{6}(5) [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: log_{6}(25) - log_{6}(5) [/tex]

[tex]\qquad \tt \rightarrow \: log_{6}(5) {}^{2} - log_{6}(5) [/tex]

[ property : x² = 2 log x ]

[tex]\qquad \tt \rightarrow \: 2 \: log_{6}(5) {}^{} - log_{6}(5) [/tex]

[tex]\qquad \tt \rightarrow \: log_{6}(5) [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The definition for the graphed function is the one shown in option d:

y = -x + 2   if x < 1

y = -2x + 1   if x  ≥ 1.

Here we have a piecewise function, where for the first part we have a linear equation with a negative slope (for x < 1, we know that the symbol "<" must be used because of the open dot at the end of the line).

Then, we have another linear equation with a negative (and steeper) slope. This time there is a closed dot, so the domain for this second part is x ≥ 1.

With that we can conclude that the correct option is:

d:

y = -x + 2   if x < 1

y = -2x + 1   if x  ≥ 1.

Where you can see that the second part has a larger (in module) slope, and the domains are defined as we saw above.

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Answer: [tex]x=5\sqrt{3}[/tex]

Step-by-step explanation:

As the triangle is equilateral, we know that all sides have a length of 10. Thus, if we consider either of the right triangles, we know they have legs of lengths 5 and x (since an altitude of an equilateral triangle bisects the side it is drawn to), and a hypotenuse of 10.

Thus, by the Pythagorean theorem,

[tex]5^{2}+x^{2}=10^{2}\\\\25+x^{2}=100\\\\x^{2}=75\\\\\boxed{x=5\sqrt{3}}[/tex]

The proportion that can be used to represent the given statement is [tex]\frac{3}{1} =\frac{12}{4}[/tex]

Given that there are 3 feet in 1 yard, which is equivalent to 12 feet in 4 yards.

In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.

We need to determine the proportion that can be used to represent this.

Now, 1 yard = 3 feet implies  4 yards = 12 feet.

The required proportion can be written as [tex]\frac{3}{1} =\frac{12}{4}[/tex].

Therefore, the proportion that can be used to represent the given statement is [tex]\frac{3}{1} =\frac{12}{4}[/tex].

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(a) [tex]\frac{6-8}{-4-4}=\frac{-2}{-8}=\boxed{1/4}[/tex]

(b) Using the point (4,8), we get [tex]\boxed{y-8=\frac{1}{4}(x-4)}[/tex]

(c) Rearranging into slope-intercept form,

[tex]y-8=\frac{1}{4}(x-4)\\\\y-8=\frac{1}{4}x-1\\\\\boxed{y=\frac{1}{4}x+7}[/tex]