Heather traveled at a
constant rate. She drove
162 miles in 3 hours.
How far in miles, did
Heather drive in 1 hour?

Answer

In standard form, the equation is y=4|x+16|+2

Step-by-step explanation:

I included a graph as well

The requried solution of the given expression is y = 6 and -2.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,

Simplifying the equation as to form standard form.
4|y - 2| - 16 = 0
4|y - 2| = 16
y - 2 = ± 4,

Now,
y - 2 = 4         ; y - 2 = - 4
y = 6              ; y = -2

Thus, the requried solution of the given expression is y = 6 and -2.

Learn more about equations here:

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Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2 - 5x + 6 = 0

(x - 2)(x - 3)

So the critical point are x = 2 and x = 3.

The graph of the function opens upwards and pass through the x axis at (2, 0) and (3, 0).

So the required range is the values of f(x) between  when x = 2 and x = 3

that is  2 < x < 3.

Answer:

Step-by-step explanation:

1 Factor {x}^{2}-5x+6x

2

−5x+6.

(x-3)(x-2)<0

(x−3)(x−2)<0

2 Solve for xx.

x=3,2

x=3,2

3 From the values of xx above, we have these 3 intervals to test.

\begin{aligned}&x<2\\&2<x<3\\&x>3\end{aligned}

​

x<2

2<x<3

x>3

​

4 Pick a test point for each interval.

For the interval x<2x<2:

Let's pick x=0x=0. Then, {0}^{2}-5\times 0+6<00

2

−5×0+6<0.

After simplifying, we get 6<06<0, which is false.

Drop this interval..

For the interval 2<x<32<x<3:

Let's pick x=\frac{5}{2}x=

25

​

. Then, {(\frac{5}{2})}^{2}-5\times \frac{5}{2}+6<0( 25) 2−5× 25+6<0.

After simplifying, we get -0.25<0−0.25<0, which is true.

Keep this interval..

For the interval x>3x>3:

Let's pick x=4x=4. Then, {4}^{2}-5\times 4+6<04 2 −5×4+6<0.

After simplifying, we get 2<02<0, which is false.

Drop this interval..

5 Therefore,

2<x<3

2<x<3

Answer:

C? I dont really know.

Step-by-step explanation:

but

if

I

am

right

plz

give

brainliest

Answer:

the answer would be F

Step-by-step explanation:

Answer:

c

28 cubic units

Step-by-step explanation:

Answer:

Step-by-step explanation:

V sphere = (4/3) π r³    r = 4.7 inches

               = (4/3) π 4.7³            use calculator now

               = 435 in³

Answer:

HI

Step-by-step explanation:

HI HI HI HI HI HI HI HI HI HI HI HI

Answer:

B

Step-by-step explanation:

Look at the X and Y coordinates carefully. X and Y coordinates are swapped and Y coordinate got negative sign.

Answer:

angle 6 corresponds with angle 4.

Answer:

Step-by-step explanation:

Answer:

(P-12)/2 = L

Step-by-step explanation:

1. Start off with an equation in terms of perimeter

P = (2)(6) + (2)(L)

2. Multiply the two and the six

P = 12+ (2)(L)

3. Move the terms around so only "L" is on one side

(P-12)/2 = L

hope this helped :)

Step-by-step explanation:

Hope this helps!

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]\frac{12}{16} =\frac{x}{y} \\\\\frac{12}{16} =\frac{3}{4}[/tex]

Divide the numerator and denominator by 4

9514 1404 393

Answer:

  C.  √((5-9)² +(1+6)²)

Step-by-step explanation:

The distance formula can be written ...

  d = √((x1 -x2)² +(y1 -y2)²)

Filling in the given point coordinates, this becomes ...

  d = √((5 -9)² +(1 -(-6))²)

Simplifying the signs, this becomes ...

  d = √((5 -9)² +(1 +6)²) . . . . . matches choice C

Answer:

x=7

putting x=7

2×7×7

2×49

98

Answer:

98

Step-by-step explanation:

7 times 2 is 14..

this makes the equation 14×7. this comes out to be 98

          a2 (exponent 2)

x= - _______

        1 - 3a + a2 (exponent 2)

                  Mark brainliest please.

Answer:

x = 10

y = 20

Step-by-step explanation:

They tell you triangle STY is congruent to triangle DTU, which means sides and angles are equal. (they are mirror images in this case)

YT = DT and ST = UT

3y + 5 = 65

3y = 60

y = 20

5x = 50

x = 10

Answer:

136000 cm

Step-by-step explanation:

I think it's helps you

Answer:

numerical

Step-by-step explanation:

i guess not sure though

Answer:

16.79

yes eys yes yes yes .............

Answer:

y = 3

Step-by-step explanation:

the figure on the right is similar, except the lengths are half as big as the figure on the left. the missing segment, PR, corresponds to FH on the other figure, which is 6. 6/2 = 3, so PR, or y, is 3.

Answer:

<8

Step-by-step explanation:

From the diagram, Corresponding angles are congruent that is Corresponding angles are equal in measure. From the diagram shown, the angle corresponding to <4 is <8 since they are located at the same position on both parallel lines that is right below (both at the top and bottom based on geometry )

Answer:

There is an error in the equation.

f ( x ) = 63 X?? or whatt??

Answer:

-1

Step-by-step explanation:

y = f(x)

y = 6 * 3^x

Interchange x and y

x = 6 * 3^y

Divide by 6

x/6 = 3^y  

Take the log of both sides

log(x/6) = log(3)^y

Bring the y down

log(x/6) = y log(3)                    

Divide by log(3)

log(x/6)/log(3) = y

Let x = 2

log(2/6) / log(3) = y

-(0.4771 )/ 0.4771 = y

y = - 1

Remark

The original graph is in green

The red graph is the inverse.

The point (2,-1) is marked so that you know it falls on the inverse.

Answer:

3

Step-by-step explanation:

[tex]\frac{(13 + 2)}{(9-4)}=\frac{15}{5}=3[/tex]

Answer:

3

Step-by-step explanation:

13+2= 15 9-4=5. 15÷5=3

Answer:

1/6*1/2=1/12

Step-by-step explanation:

You basically multiply the probability of getting 1 which is 1/6 out of the total and the probability for getting heads is 1/2 because there are 2 outcomes heads or tails.

So then you multiply them to get the probability of both of them so thats why it is 1/12

Answer:

2/10

Step-by-step explanation:

We can get 2/10 by multiplying the probability of the spinner and the coin because the question wants the compound probablity.

Since there is 2 numbers less than 3 on the spinner and a 50 50 chance of getting tails, 2/5 * 1/2 is 2/10.