Find the vertex of the given function. f(x) = |x + 1| - 7 The vertex is at (, )

Step-by-step explanation:

[tex] log(x) = 2 \\ {10}^{2} = x \\ x = 100[/tex]

then for y:

[tex] log( y) = - 1 \\ {10}^{ - 1} = y \\ y = 0.1[/tex]

so:

[tex]xy - 100 {y}^{2} \\ = 100 \times 0.1 - 100 \times {(0.1)}^{2} \\ = 10 - 100 \times 0.01 \\ = 10 - 1 \\ = 9[/tex]

Answer:

2 x + y - 3 = 0

2 g + 6 x - 14 = 0 2 g = -2 (3 x - 7)

x = 7/3 - g/3

Step-by-step explanation:

Solve for x:

2 g = 14 - 6 x

2 g = 14 - 6 x is equivalent to 14 - 6 x = 2 g:

14 - 6 x = 2 g

Subtract 14 from both sides:

-6 x = 2 g - 14

Divide both sides by -6:

Answer: |

| x = 7/3 - g/3

Answer:

y= -2 x + 3

y= 3 x + -7

The slops and they y-intercepts are different

Intersect at one point

Exactly one solution

Step-by-step explanation:

Edge 2022

I just took the test and the answer is n= 6

Answer:

n=6

Step-by-step explanation:

Answer:

B. False

Step-by-step explanation:

Given

[tex]Points: (x_7 - y_i),(4,8)[/tex]

Required

Is the distance between them [tex]\sqrt{(x_7 - 8)^2 + (y_1 - 4)^2}[/tex]

Given that there are two points, the distance between them is calculated using

Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

In this case;

[tex](x_1,y_1)= (x_7 - y_i)\\(x_2,y_2) =(4,8)[/tex]

Substitute these in the given formula

Distance = [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]

Comparing this with the given formula, both are not the same;

Hence, the formula is false and the correct formula is of the form [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]

Answer:

C.

Step-by-step explanation:

You can eliminate A and B because they square root graphs. You are left with C and D. C is the correct choice because the graph is being reflected across the x-axis, shown by the negative.

Alternatively you can graph each equation on a graphing calc and choose the best answer.

Answer:

I would say AA

Step-by-step explanation:

try to separate the picture to see the bigger picture and you can do it.

Answer:

axis of symmetry: x=-1

Step-by-step explanation:

Answer:

There is an average of 3.75 people per family (Also known as 4, because you can't have 0.75 of a person)

Step-by-step explanation:

[tex]\frac{1+1+1+2+2+3+3+3+3+3+3+3+4+4+4+4+4+4+4+4+4+4+4+4+4+5+5+5+5+5+5+5+5+5+5+5}{36}[/tex]

Answer:

jenny got 15 pair of shoes

her bro got 10 pairs of shoes

Step-by-step explanation:

Jenny: 15 shoes

Brother: 10 shoes

Answer:

x = 6

y = 4

Step-by-step explanation:

Let the two numbers be x and y

Condition 1:

7x+3y = 54 -----------(1)

Condition 2:

x = 2+y -----------------(2)

Putting (2) in (1)

=> 7(y+2)+3y = 54

=> 7y+14+3y = 54

=> 10y = 54-14

=> 10y = 40

Dividing both sides by 10

=> y = 4

Now putting y = 4 in eq(2)

=> x = 2+4

=> x = 6

Answer:

[tex]4\\6[/tex]

Step-by-step explanation:

[tex]7x+3y=54\\x=y+2[/tex]

[tex]7(y+2)+3y=54\\7y+14+3y=54\\10y+14=54\\10y=40\\y=4[/tex]

[tex]x=y+2\\x=4+2\\x=6[/tex]

Answer:

A , B and C are similar to each other

Step-by-step explanation:

Please give me branlest

Answer:

Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.

Step-by-step explanation:

As given in the graph,

Given function is a quadratic function, f(x) = (x + 2)(x + 6)

With x-intercepts of the function, x = -6 and -2

Graph below the x-axis represents the negative values of the function.

Graph above the x-axis represents the positive values of the function.

Therefore, function f(x) is positive for the values x ≤ -6 and x ≥ -2 and the function is negative in the interval -6 ≤ x ≤ -2.

Answer:

b = (d-c)/a

Step-by-step explanation:

ab+c=d

Subtract c from each side

ab+c-c=d-c

ab = d-c

Divide by a

ab/a = (d-c)/a

b = (d-c)/a

Answer:

B is my best guess!

Step-by-step explanation:

Answer:

Solution,

Hypotenuse(h)=X

Perpendicular (p)=9

Base(b)=12

Now,

Using Pythagoras theorem,

[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {(9)}^{2} + {(12)}^{2} \\ or \: {x}^{2} = 81 + 144 \\ or \: {x}^{2} = 225 \\ or \: x = \sqrt{225} \\ or \: x = \sqrt{ {(15)}^{2} } \\ x = 15[/tex]

hope this helps...

Good luck on your assignment...

The length of the hypotenuse in the given triangle is A. 15 units.

This type of question makes a right-angled triangle that can be solved by Pythagoras's theorem.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given, the base of the triangle is 12 units and the height is 9 units.

∴ x² = 9² + 12².

x² = 144 + 81.

x² = 225.

x = + 15 units.

So, the length of the hypotenuse is 15 units.

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Answer:

$11.40

Step-by-step explanation:

$38 for 2 people to go to the movie theater.

38/2=19

$19 for each person to go to the movie theater.

40% of the money is for snacks, the movie ticket must be 60% of the money.

19×60%

19×60/100=11.4

The cost of each movie ticket is $11.40

Answer:

$11.4

Step-by-step explanation:

Total Cost = $38

Snacks:

=> [tex]\frac{40}{100}* 38[/tex]

=> $15.2

Left for 2 tickets:

=> $38-$15.2

=> $22.8

For 1 ticket:

=> $22.8/2

=> $11.4

Answer:

(or 132 inches)

Step-by-step explanation:

Since there are 6 bracelets to make, we can multiply 22 and 6 to get 132.

The correct unit / format to answer this is in feet and all we have right now is the amount of inches we must convert.

132 inches converted into feet can be found by dividing by the amount of inches there are in a 1 foot.

Since there are 12 inches in a foot, we can divide 132 by 12 to get 11.

Answer:

£25

Step-by-step explanation:

Total price- £53.55

Pair of trainers cost- £38 before discount

Discount= 15%

Cost of pair of trainers after discount:

Price of the watch after discount:

Price of the watch before discount:

Answer:

The answer is A

Step-by-step explanation:

The formula used to find the area of a triangle is 1/2base *height

The base is 16 so half of 16 is 8 then multiply it with the height 8 to get 64.

Area of obtuse triangle is 64 sq. units

"A triangle whose any one of the angles is an obtuse angle or more than 90 degrees, then it is called obtuse-angled triangle or obtuse triangle."

Given

Base of triangle = 16

Height of triangle = 8

Formula to find the area of obtuse triangle

A = [tex]\frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]

A = [tex]\frac{1}{2}[/tex] × [tex]16[/tex] × [tex]8[/tex]

A = 8 × 8

A = 64

Hence, Area of obtuse triangle is 64 sq. units

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Answer:

E.

Step-by-step explanation:

There are 12 balloons in each package.  Multiply this by the number of packages to get the number of balloons.

Answer:

E. 12p

Step-by-step explanation:

Multiply 12 by the number of packages to get the total number of ballons.

Ex.

If P is 7 :

12 x 7 = 84

84 ballons in total.

Answer:

Option D.

Step-by-step explanation:

From the given graph it is clear that it is a parabola along to the x-axis.

Vertex form of a parabola along the x-axis is

[tex]x=a(y-k)^2+h[/tex]

where, (h,k) is vertex.

From the graph it is clear that the vertex of the parabola is (4,-3). So, substitute h=4 and k=-3 in the above equation.

[tex]x=a(y-(-3))^2+(4)[/tex]

[tex]x=a(y+3)^2+4[/tex]   ...(1)

The graph passing through (1,-2), so substitute x=1 and y=-2 in the above equation.

[tex]1=a(-2+3)^2+4[/tex]

[tex]1-4=a(1)^2[/tex]

[tex]-3=a(1)^2[/tex]

Substitute a=-3 in equation (1).

[tex]x=-3(y+3)^2+4[/tex]

Therefore, the correct option is D.

Answer:

Nico's method is correct

Step-by-step explanation:

Lauren carelessly forgot to add the negative sign

[tex]-\frac{4}{5} = \frac{-4}{-5}[/tex]

The slope of the line represented by this equation is 4/5.

We know this because this line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept. Thus, we can conclude that the slope is 4/5, which means that for every 4 units the line moves up, it also moves 5 units over (because slope is defined as rise/run).

This equation is in slope-intercept form, or

y = mx + b where m is the slope and b is the y-intercept.  The number in the m position in our equation is 4/5, so the slope is 4/5

Hope this helps!

please mark me brainliest!

Answer:

The height of the triangle is 24 cm.

Answer:

184

Step-by-step explanation:

46 divided by .25

Answer:

200 Ribbons

Step-by-step explanation:

To break even Lucas needs to sell 200 ribbons --> this is because, =>

let's make an expression for this equation -->

x = amt. of ribbons

y = expense or revenue

x(0.25) = y + x(0.02)

Let's plug he given in --> 0.25x = 46 + 0.02x -->

now we can solve => x = 200

Hope this helps!

Answer:

A. [tex] x = \frac{5}{p} [/tex]

Step-by-step explanation:

[tex]px + 12 = 17 \\ px = 17 - 12 \\ px = 5 \\ x = \frac{5}{p} [/tex]

Answer:

0.50

Step-by-step explanation:

Do the opposite of addition

So 1.25 - 0.75

The solution to the equation 1.25 = 0.75 + r for r is r = 0.5

From the question, we have the following parameters that can be used in our computation:

1.25 = 0.75 + r

Add -0.75 to both sides of the equation

so, we have the following representation

-0.75 + 1.25 = 0.75 + r + -0.75

Evaluate the like terms on the right hand side

This gives

-0.75 + 1.25 = r

Evaluate the like terms on the left hand side

This gives

0.5 = r

Rewrite as

r = 0.5

Hence. the solution is 0.5

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Answer:

third option

Step-by-step explanation:

Given

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Answer:

x = -2 or x = 3

Step-by-step explanation:

The answer to your question is C.

Answer:

George Washington died on December 14th, 1799

Numerical with the arrangement: month - day - year

12 - 14 - 1799

Step-by-step explanation:

In the question, we are told that: the month in which he died and the day of the month on which he died are consecutive even integers whose product is 168.

Therefore,

If one positive even integer = Month he died is represented by x

The second consecutive even integer = Day he died = x + 2

Their product =

x ( x + 2) = 168

x² + 2x = 168

x² + 2x - 168 = 0

We factorise

x² + 14x - 12x - 168 = 0

(x² + 14x) - (12x - 168) = 0

x(x + 14) - 12(x + 14) = 0

(x - 12)(x + 14) = 0

x - 12 = 0, x = 12

x + 14 = 0 , x = -14

Our answer cannot be a negative interger, hence x = 12

So the first positive even integer = 12

The second positive even integer = x+2 = 12 + 2 = 14

Therefore, the month he died = n = 12th month = December

The day he died = n + 2 = 14 = 14th day.

Hence, George Washington died on December 14th, 1799

Numerical with the arrangement: month - day - year

12 - 14 - 1799