The vehicle's fuel efficiency is at least 35 miles per gallon.
Use f to represent the vehicle's fuel efficiency (in miles per gallon).

A) y intercept is (0,3)

C) Axis of symmetry is x = -1

D) Vertex is (-1, 4)

So basically everything but choice B is true.

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

Explanation:

Choice A is true because plugging in x = 0 leads to y = 3. Effectively, anything with an x goes away when x = 0 leaving that 3 behind. So finding the y intercept in this form is fairly fast.

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

To check choices B through D, let's convert the equation into vertex form.

y = -1x^2 - 2x + 3 is in the form y = ax^2 + bx + c where

a = -1

b = -2

c = 3

The vertex is located at (h,k) such that h = -b/(2a)

Plug the values of 'a' and 'b' into the equation below

h = -b/(2a)

h = -(-2)/(2*(-1))

h = 2/(-2)

h = -1

The x coordinate of the vertex is x = -1

Then use this to find the y coordinate of the vertex

y = -1x^2 - 2x + 3

y = -1(-1)^2 - 2(-1) + 3

y = 4

The y coordinate of the vertex is 4, meaning k = 4

The vertex overall is (h,k) = (-1, 4)

This shows choice D is true, meaning choice B has to be false.

Choice C is true because the axis of symmetry is the x coordinate of the vertex. This is the vertical line that cuts the parabola into two mirrored halves. This vertical line always goes through the vertex.

Answer: e(-2,-2) and G(4,6)

Step-by-step explanation:

Answer:

y = 2/3x + 4

Step-by-step explanation:

Let the equation of the line be y = mx + c

m = (2-8)/(-3-6) = 2/3

sub (6, 8):

8 = 2/3(6) + c

c = 4

the equation if the line is y = 2/3x + 4

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

$25.17

Step-by-step explanation:

10 percent of 27.97 is 2.80 so the answer is 25.17

correct if wrong pls

Answer:

y = 3.

Step-by-step explanation:

x + 5y = 7

x = 7 - 5y

Substitute x for 7 - 5y in the second equation.

2 ( 7 - 5y ) + 4y = -4

14 - 10y + 4y = -4

14 - 6y = -4

6y = 14 + 4

6y = 18

y = 3.

Hope this helped!

Answer:

y = 3

Step-by-step explanation:

x + 5y = 7

Subtract 5y from both sides;

x = -5y + 7

Substitute x into the equation;

2x + 4y = -4

2(-5y + 7) + 4y = -4

Distribute;

-10y + 14 + 4y = -4

-6y + 14 = -4

Subtract 14 from both sides;

-6y = -18

Divide both sides by -6

y = 3

Substitute y;

x + 5y = 7

x + 5(3) = 7

x + 15 = 7

Subtract 15 from both sides;

x = -8

Answer:

I am thinking that the answer is B.

Step-by-step explanation:

Answer:

10,600 cookies will be made in 8 hours

Step-by-step explanation:

1325 × 8 = 10,600

Answer:

The answer is "False".

Step-by-step explanation:

In this question, I disagree with Joey since the town of Bayugan has been at co-ordinates (0,[tex]-1\frac{1}{2}[/tex]) which would be contradictory to Joey.

Answer: y=17-5x/-9

Step-by-step explanation: 5x-9y=17

-9y=17-5x

Y=17-5x/-9

You can’t go any further than that because you can’t combine unlike Terms on the right side of the equation.

Answer:

y = -6x - 2.

Step-by-step explanation:

x - 6y = 12

Gradient = 1/6

since the line is perpendicular to x - 6y = 12

its gradient will be -6.

hence its equation will also be:

y - 4 = -6(x - (-1))

y - 4 = -6x -6

y = -6x -2

Answer:

x = - 1, x = 8

Step-by-step explanation:

Given

8 + 7x - x² = 0 ( multiply through by - 1 and arrange into standard form )

x² - 7x - 8 = 0 ← in standard form

(x - 8)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 8 = 0 ⇒ x = 8

Answer:

£2.38

Step-by-step explanation:

2.5 cost £1.40

4.25 cost £ x

so x=(4.25*1.40)/2.5=5.95/2.5=£2.38

Answer:

DE = 81

Step-by-step explanation:

The sides of a rhombus are congruent , thus

9z = z + 72 ( subtract z from both sides )

8z = 72 ( divide both sides by 8 )

z = 9

Then

BC = 9z = 9 × 9 = 81

Since the sides are congruent, then DE = 81

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

Explanation:

Inscribed angle ADB subtends the minor arc AB. Inscribed angle ACB subtends the same minor arc AB. The rule is that if two inscribed angles subtend the same arc, then they are the same measure.

We can prove this with the inscribed angle theorem which says

central angle = 2*(inscribed angle)

Let's say point E is the center of the circle. By the inscribed angle theorem, we know that,

angle AEB = 2*(angle ADB)

angle AEB = 2*43

angle AEB = 86

Then we go in reverse of this process to find angle ACB

angle AEB = 2*(angle ACB)

86 = 2*(angle ACB)

2*(angle ACB) = 86

angle ACB = 86/2

angle ACB = 43

So this is how we prove the two inscribed angles are congruent.

Answer:

54

Step-by-step explanation:

1/4 of 72 is 18

72-18=54

Answer:

She would give her friend 54 sweets. I hope this is right, sorry if it's not.

Step-by-step explanation:

1/4 = 0.25

72*0.25 = 18

72 - 18 = 54

Answer:

3x+1 > 7

Step-by-step explanation:

x+3 > 5

x > 5-3

x > 2

3(x)+1

= 3(>2)+1

= 3x+1 > 7

Hope this helped!

Answer:

1. 36

2. 90

3. 9

4. 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=2x+1

y=x^2

The other one isn't a function because it won't pass the vertical line test. You can not use the same X in a function.

[tex]\text {Hey! Let's Solve this Equation!}[/tex]

[tex]\text {\underline {The First Step is to Add 17}}[/tex]

[tex]\text {3w-17+17=4+17}[/tex]

[tex]\text {3w=21}[/tex]

[tex]\text {\underline {The Final Step is to Divide 3}}[/tex]

[tex]\text {3w/3=21/3}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\Huge\boxed {w=7}[/tex]

[tex]\text {Best of Luck!}[/tex]

Answer:

[tex]\boxed{\sf{w=7}}[/tex]

Step-by-step explanation:

To find the value of w, isolate it on one side of the equation.

Add by 17 from both sides.

3w-17+17=4+17

Solve.

Add the numbers goes from left to right.

4+17=21

3w=21

Divide by 3 from both sides.

3w/3=21/3

Solve.

Divide the numbers from left to right.

21/3=7

w=7

I hope this helps! Let me know if you have any questions.

Answer:

I think its 3 but im not sure

Step-by-step explanation:

2x-1 you would do the opposite so you would add 1 to both sides. That would cancel the -1. Which leaves you with 3x

[tex]d. \: \frac{hi}{eg} = \frac{ij}{jk} [/tex]

dont forget to follow me

Answer:

false

Step-by-step explanation:

2 · 4 = 8

Answer:

False

Step-by-step explanation:

24 is not equal to 8 therefore it is not true

Answer:

Create a proportion.

[tex]\frac{5}{6} = \frac{305}{x}\\[/tex]

This proportion is saying,

"If 5 corresponds to 6, then 305 corresponds to what?"

Cross multiply.

5x = 305(6)

5x = 1830

x = 1830 / 5

x = 366

So, the shadow of the statue should be 366 feet.

Theres supposed to be a picture i think.

Answer:

126

Step-by-step explanation:

x=24

140-24= 126