Kiari needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car?

Answer:x=-3

Step-by-step explanation:

Factor and set each factor equal to zero.

The conic section as a collection of points(loci) on a plane can be defined in this way .

A conic section is a curve obtained by intersecting a cone with a plane. In Algebra , There are  four main types of conic sections:

circles, parabolas, ellipses and hyperbolas. Each of these conic sections has different characteristics and formulas that help us solve various types of problems.

A locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.

According to the question

There are 4 main types of Conic section :

circles, parabolas, ellipses and hyperbolas. Each of these conic sections has different characteristics and formulas

Loci for circle : The locus of a circle is defined as a set of points on a plane at the same distance from the center point.

Loci for parabola : A parabola is a locus of points that are equidistance form a focus and a directrix .

Loci for hyperbola: A hyperbola is the locus of points such that the absolute value of the difference between the distances from to and to is a constant.

Loci for ellipse: An ellipse is the locus of all those points in a plane such that the sum of their distances from two fixed points in the plane, is constant. The fixed points are known as the foci (singular focus), which are surrounded by the curve.

Hence, The conic section as a collection of points(loci) on a plane can be defined in this way .

To know more about conic section and loci  here:

https://brainly.com/question/10311514

#SPJ2

Answer:

yes, the triangle is congruent because they all have the same three sides on each.

Answer: 116

Step-by-step explanation: simply divide 8 into 928

Answer:

116 coke

Step-by-step explanation:

992/8

=116

Debby would be able to buy 116 cokes from the coke machine.

Answer:

4^6

Step-by-step explanation:

Add the 2 and 4 at the top

Answer: here is your answer

Step-by-step explanation:

You can put this solution on YOUR website!

+t+ = traveler's speed in ft/sec

+w+ = walkway's speed in ft/sec

given:

+t+-+w+=+2+

+t+%2B+w+=+6+

-------------

Add the equations

+2t+=+8+

+t+=+4+

and

+t+%2B+w+=+6+

+4+%2B+w+=+6+

+w+=+2+

The traveler's speed off the walkway is 4 ft/sec

The speed of the moving walkway is 2 ft/sec

Answer:

$72 would be the retail price

Step-by-step explanation:

Answer:

first choice

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 10^2 = 15^2

a^2 + 100 = 225

       - 100    -100

a^2 = 125

square 125

a = 11.18

Answer:

25% increase

Step-by-step explanation:

Answer:

144 calories

Step-by-step explanation:

12%(1200)=

0.12(1200)=144

x = 1.43 is the solution to the equation 6 • e^x = 25, rounded to two decimal places

Answer:

For decimal rounded to the hunderdths - 2.44

For fraction -  2 37/84

Step-by-step explanation:

2 37/84

Answer:

it goes:

the 2nd one goes first and the first one goes second, the one with pi goes last

Step-by-step explanation:

Answer:

The solution to the system of equations will be:

[tex]x=9,\:y=6[/tex]

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x-9y=-36\\ -14x+18y=-18\end{bmatrix}[/tex]

Multiply 2x-9y=-36 by 7

[tex]14x-63y=-252[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}14x-63y=-252\\ -14x+18y=-18\end{bmatrix}[/tex]

Adding both equations

[tex]-14x+18y=-18[/tex]

[tex]+[/tex]

[tex]\underline{14x-63y=-252}[/tex]

[tex]-45y=-270[/tex]

solve -45y = -270 for y

[tex]-45y=-270[/tex]

divide both sides by -45

[tex]\frac{-45y}{-45}=\frac{-270}{-45}[/tex]

Simplify

[tex]y=6[/tex]

For 14x-63y = -270 plug in y = 6

[tex]14x-63\cdot \:6=-252[/tex]

[tex]14x-378=-252[/tex]

Add 378 to both sides

[tex]14x-378+378=-252+378[/tex]

Simplify

[tex]14x=126[/tex]

Divide both sides by 14

[tex]\frac{14x}{14}=\frac{126}{14}[/tex]

Simplify

[tex]x=9[/tex]

Therefore, the solution to the system of equations will be:

[tex]x=9,\:y=6[/tex]

Answer:

Quadrilateral, Square, and Rhombus

Step-by-step explanation:

Hope it helped!

Answer:

I think quadrilateral and rhombus.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

OK 13-5=8 and that leaves 8k so k must be 2 because since their is no space they are being multiplied together and 8x2=16 :) hope this helps

plz give thanks

Answer:

Step-by-step explanation:

Since this is not factorable, let's just complete the square:

[tex]x^2+6x=19\\x^2+6x+9=28\\(x+3)^2=28\\x+3=\sqrt{28}\\x=2\sqrt{7}-3[/tex]

The value of the function at x = 2 is -100

They are written in the form y = ab^x

Given the exponential function y = -4(5)^x

IF the value of x is 2, hence the expression becomes:

y = -4(5)^2

y = -4(25)

y = -100

Hence the value of the function at x = 2 is -100

Learn more on expoenential function here: https://brainly.com/question/12940982

Answer:

2sqrt(7)/5

Step-by-step explanation:

sqrt(28/25)

sqrt(28)/sqrt(25)

2sqrt(7)/sqrt(25)

2sqrt(7)/5

Answer:

a) 54π cm³

Step-by-step explanation:

area of circle=πr²

9π

π9*6=54π

Answer:

b

Step-by-step explanation:

Answer:

answer is 3

Step-by-step explanation:

8-5

4(2)=8

3+2=5

8-5=3

Answer:

46

Step-by-step explanation:

Answer:

the amount is duplicating every time from 1 to 2 from 8 to 16

Step-by-step explanation:

Answer:

it's being multiplied by 2 every time, so 1×2=2 and it just keeps going on. 2×2=4, 4×2=8 and so fourth

$.01×2=$.02

Answer:

it is the first one I am sure of it

Answer:

i think 7 maybe?

Answer:

Infinite Many Solutions

Step-by-step explanation:

If I am correct the two lines are overlapping each other in more than one place so that means there are infinitely many solutions. Also, there can be no " two solutions" for this type of equation. There can only be one solution, no solution, or infinitely many solutions.

Answer:

3x

Step-by-step explanation:

The GCF would be 3x, if you took out 3x from those numbers you'd be left with x^2, 2x, and 5, which can't be reduced any further.

Answer:

80 pages

Step-by-step explanation:

Point slope Equation is :

y = mx + c

In the above question

y = 310 pages

x = number of days = 10 days

m= 23 pages per day

c = ?? Unknown

c = y - mx

c = 310 - 23 × 10

c = 310 - 230

c = 80 pages

She will still have 80 pages left to read after 10 days

Answer:

The average speed is 7.5 [tex]\frac{ m}{ s}[/tex]

Step-by-step explanation:

Speed ​​is a physical quantity that expresses the relationship between the space traveled by an object and the time used for it.

Then, the average speed relates the change in position to the time taken to effect that change:

[tex]speed=\frac{change in position}{change in time}[/tex]

The change in position is the difference between the final position and the initial position, while the change in time is the difference between the final and initial time.

In this case, the starting and ending positions are calculated by replacing the times in the function of the distance d (t):

d(5)= 0.5*5²= 12.5 m

d(10)= 0.5*10²= 50 m

So:

Replacing in the definition of speed:

[tex]speed=\frac{37.5 m}{5 s}[/tex]

and solving you get:

speed= 7.5 [tex]\frac{ m}{ s}[/tex]

The average speed is 7.5 [tex]\frac{ m}{ s}[/tex]