Tucker got in his car and started driving toward his grandmother's house. After driving for 1 hour and 30 minutes, Tucker took a break for 40 minutes to have a snack. Then Tucker drove 1 hour and 40 minutes and finally arrived at his grandmother's house at 6:05 P.M. What time did Tucker start driving?

Answer:

[tex]a = -2[/tex]

Step-by-step explanation:

Given

The attached function (graph)

Required

Find a

The given function is quadratic and will be solved using:

[tex]y = ax^2 + bx + c[/tex]

From the attachment:

[tex](x,y) = (-3,4)[/tex]

[tex](x,y) = (-2,2)[/tex]

[tex](x,y) = (-4,2)[/tex]

Substitute these values in [tex]y = ax^2 + bx + c[/tex]

For: [tex](x,y) = (-3,4)[/tex]

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

[tex]4 = 9a -3b + c[/tex]

For: [tex](x,y) = (-2,2)[/tex]

[tex]2 = a(-2)^2 + b(-2) + c[/tex]

[tex]2 = 4a -2b + c[/tex]

For: [tex](x,y) = (-4,2)[/tex]

[tex]2 = a(-4)^2 + b(-4) + c[/tex]

[tex]2 = 16a -4b + c[/tex]

So, we have:

[tex]4 = 9a -3b + c[/tex] --- (1)

[tex]2 = 4a -2b + c[/tex] ---- (2)

[tex]2 = 16a -4b + c[/tex] --- (3)

Make c the subject in (1)

[tex]c = 4 - 9a + 3b[/tex]

Substitute [tex]c = 4 - 9a + 3b[/tex] in (2) and (3)

[tex]2 = 4a -2b + c[/tex]

[tex]2 = 4a -2b + 4 - 9a + 3b[/tex]

Collect Like Terms

[tex]-4 + 2 = 4a - 9a-2b + 3b[/tex]

[tex]-2 = - 5a+b[/tex] --- (4)

[tex]2 = 16a -4b + c[/tex]

[tex]2 = 16a - 4b + 4 - 9a + 3b[/tex]

Collect Like Terms

[tex]2 -4 = 16a - 9a + 3b- 4b[/tex]

[tex]-2 = 7a -b[/tex] --- (5)

Add 4 and 5

[tex]-2 = - 5a+b[/tex]

[tex]-2 = 7a -b[/tex]

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

[tex]-2 - 2 = -5a + 7a +b - b[/tex]

[tex]-4 = 2a[/tex]

Divide through by 2

[tex]-2 = a[/tex]

[tex]a = -2[/tex]

Answer:

28 litres of mango juice will be required

Step-by-step explanation:

11). b. Internal dimensions of the rectangular prism are,

         Length = 40 cm

         Width = 20 cm

         Height = 35 cm

         Volume of the rectangular prism = Length × Width × Height

                                                                 = 40 × 20 × 35

                                                                 = 28000 cm³

          Since, 1 cm³ = 1 mL

          Therefore, 28000 cm³ = 28000 mL

          Since, 1000 mL = 1 L

          28000 mL = 28 L

          Therefore, to fill this jar 28 L of orange juice will be required.

Answer:

11h+13

Step-by-step explanation:

7h+4h=11h

9+4=13

Answer:

11h+13

Step-by-step explanation:

Combine like terms.

Answer:

The answer is below

Step-by-step explanation:

Triangles are polygons with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angled triangles.  

Trigonometric identities are equations that uses trigonometric functions to show the relationship between the angles in a right angle triangle and the sides of the right angled triangle.

If θ be an acute angle in a right angled triangle, hyp. is the hypotenuse side of the angle, opp. is the opposite side to the angle and adj. is the adjacent side to the angle, then:

sinθ = opp. / hyp.v;  cosθ = adj. / hyp. ; tanθ = opp. / adj.

Answers:

===============================================

Explanation:

This is consider a monomial since we only have one term. Terms are separated by a plus sign, so something like 5x^2+10x has two terms.

The degree of a polynomial is the largest exponent when dealing with single variables. In the case of 9r^9, the largest exponent is 9, so the degree is 9. Going back to an example like 5x^2+10x, the largest exponent is 2 so this is the degree of this example.

Ans is 351/8.

hope it is helpful

Answer:

i need a photo or an equation TvT

Step-by-step explanation:

TvT TvT TvT

Answer:

I think they both are linear

Answer:

x = 16

Step-by-step explanation:

For the triangle to be isosceles then AB = CB , that is

5x - 9 = 4x + 7 ( subtract 4x from both sides )

x - 9 = 7 ( add 9 to both sides )

x = 16

Answer:

2*12x-5

Step-by-step explanation:

In geometry, a vertex form is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices. For example, a square has four corners, each is called a vertex.

Step-by-step explanation:

step 1. m = 2.

step 2. for a linear equation the average rate of change between any points is the slope m.

Answer:

مرحبًا ، سأكون سعيدًا لمساعدتك في حبك في العمل ، وأريد المزيد من التفاصيل ، وسأبذل قصارى جهدي لإرضائك

Step-by-step explanation:

Answer:

I recommend using GeoGebra to graph the coordinates

Step-by-step explanation:

I use that whenever someone asks if certain coordinates make a shape

Here's the link:

http://contentstore.ple.platoweb.com/content/GeoGebra.v5.0/GeoGebra_Activity.html

Answer:

6 units

Step-by-step explanation:

use imagination to separate the triangle from the square.

2*2 is 4 which is the volume of the square part

2*2/2 is the volume of the triangle which divides out to be 2

2+4=6

Answer:

[tex]\frac{1}{343}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] , then

[tex]7^{-3}[/tex]

= [tex]\frac{1}{7^{3} }[/tex] = [tex]\frac{1}{343}[/tex]

Answer:

[tex] 28\: ft^2[/tex]

Step-by-step explanation:

Area of the triangle

[tex] = \frac{1}{ \cancel2} \times 7 \times \cancel 8 \\ \\ = 7 \times 4 \\ \\ = 28 \: {ft}^{2} [/tex]

Answer:

by using Pythagoras law

16²=(2x²)²+(2x²)²(since base angle of isosceles triangle is equal

16²=4x⁴+4x⁴

16²=16x⁴

16=x⁴

[tex]x = \sqrt[4]{16} [/tex]

x=2

Step-by-step explanation:

I don't have a answer but try photo math app it might help you a lil

9514 1404 393

Answer:

  (a) subscriptions

  (c) vehicle value

Step-by-step explanation:

Exponential functions are used to describe situations where the amount of change is proportional to the amount.

If the amount of change is a constant, then the function is linear.

A. video subscribers change by an amount proportional to their number, so is an exponential function.

B. the change in number of bricks in a row is a constant, so the function is a linear function.

C. The amount of change is proportional to the value, so the function is an exponential function.

D. The change in patient count is a constant, so the function is a linear function.

Answer:

D. y = -4/5x + 2

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:  

−

4

5

y-intercept:  

(

0

,

2

)

x

y

0

2

5

2

0

Answer:

Step-by-step explanation:

35% of 100 = 36

Answer:

dilation.

Step-by-step explanation:

Answer:

dilation

Step-by-step explanation:

A - variables

B - multiplied

C - reciprocal?

D - 0

//

I'm not too sure about C. it can either be the reciprocal or the opposite.

Answer:

well, y - 7 divided by 3 + 6 = y + 11/3

Step-by-step explanation:

hope this helps! have a nice day!

36.864 cubic units is what the answer is

Answer:

m<PTQ=90

m<TSR=45

PT=9

Answer:

14 miles

Step-by-step explanation:

3 + 4 + 3 + 4 = 14

Answer: 1. C and number 2 is A

Step-by-step explanation: Hope this helps