What the equation in point-slope form, matchs the graphed line shown

Step-by-step explanation:

since    -4(x-1) + 6x = 2(17-x)           [expand the bracket]

⇒         -4x +4 + 6x = 34 - 2x          [group like terms across the equal sign]

⇒      -4x + 2x + 6x = 34 - 4            [simplify like terms]

⇒                        4x = 30               [divide both sides by 4]

⇒                          x = ³⁰/₄               [simplify RHS to lowest possible fraction]

Check:

-4((¹⁵/₂) - 1) + 6(¹⁵/₂) = 2(17-(¹⁵/₂))

                         19 = 19    ✅

Answer: She would make $96.00

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 63    {Vertical angles are congruent}

y + z + 85 = 180   {Angle sum property of triangle}

36 + z + 85 = 180

      z + 121 = 180

               z = 180 - 121

z = 59

63 +  x = 130   {External angle  property of triangle}

       x   = 130 - 63

x = 67

Answer:

1.31

Step-by-step explanation:

52.40÷40=1.31

I hope this helps:)

Jasmine's cost per liter of petrol is £1.31 when she pays £52.40 for 40 liters.

Total-Cost is divided by the quantity of units (liters) to find out how much each unit costs.

We know that : Cost of petrol is = £52.40,

The Quantity of petrol is = 40 liters,

The Cost per-liter can be calculated as = Total cost / Quantity of petrol

Substituting the values,

We get,

Cost per liter = £52.40/40,

Cost per liter = £1.31,

The concept of dividing the total cost by the quantity gives you a standard way to measure and compare costs on per-unit basis.

Therefore, the required cost per liter of petrol for Jasmine is £1.31.

Learn more about Cost here

https://brainly.com/question/33377286

#SPJ3

Answer:

Your answer is 2.6161564

Step-by-step explanation:

1. To write  √ 6  as a fraction with a common denominator, multiply by  

  6 /6  

2. 1/ 6 + √ 6 ⋅ 6  divided by 6

3. Move 6 to the left of square root of 6

           1 + 6 √ 6  divided by 6

Exact form =

1 +6  √ 6  divided by 6  

Decimal Form:

2.6161564

Answer:

2.6161564…

Step-by-step explanation:

Answer:

I’m not sure but I think it’s 5.88

Step-by-step explanation:

Answer:

yes this is correct

Step-by-step explanation:

you could just divide by -1 on both sides to get the answer

Answer:

Step-by-step explanation:

Well you have one of the roots -- -10. Just by looking at it, -1 would seem to be another x intercept.

f(x) = (-1)^3 + 13(-1)^2 + 32(-1) + 20

f(x) = -1 + 13 - 32 + 20

f(x) = 0

So - 1 is also a root.

You should try -2

-2 * -10 - 1 = - 20

f(-2) = (-2)^3 + 13(-2)^2 + 32(-2) + 20

f(-2) =  -8 + 13 * 4 - 32(2) + 20

f(-2) = - 8 + 52 - 64 + 20

f(-2) = -72 + 72

f(-2) = 0

The zeros are

x = -10

x = -1

x = -2

Answer:

0.94; 9/10; 88%; 0.78; 8/11

Step-by-step explanation:

Answer:

.94, 9/10, 88%, .78, and 8/11

Step-by-step explanation:

All % can be rewritten by moving the decimal 2 places to the left, (88% turns to .88)

Divide the fractions to get thier decimals

8/10 goes to .80

8/11 goes to .727272...

Now just put them in order

.7272, .78, .88, .90, .94 (Least to greatest)

.94, .90, .88, .78, .7272 (Greatest to least (What the problem wants))

Now convert them to the original form

.94, 9/10, 88%, .78, and 8/11

- Gage Millar, Algebra 2 Tutor.

Step-by-step explanation:

xy + 2x

the step by step solution is on the picture above, if this helped, please mark as brainliest

Answer:

Step-by-step explanation:

You have a bunch of numbers that are likely confusing you.

When the bags are full, they weigh 3/4 of a pound.

If they are half full, then they weigh 3/4 * 1/2 = 3/8 of a pound.

Since there are three of them, then the total weight is 3(3/8) = 9/8 = 1 1/8

Answer:

B.

Step-by-step explanation:

the slop of line l is 6

half of that is 3

knowing that, the answer should be b

have a wonderful day <3

Answer:

1/20 is the correct answer

Step-by-step explanation:

65/100 diet

30/100 caffeine

Of the 65/100, 22 are caffeine free but that is unnecessary info for the question. The 22 caffeine free would fall under the 65/100 anyways.

So 65 + 30 = 95

100-95 = 5

5/100 simplified is 1/20

Yes, you are correct . Since we know 65 sodas are diet and 30 are caffeine-free.

65 + 30 = 95

What plus 95 equals 100?

95 + x = 100

Or 100 - 95 = 5

= 5/100

When 5/100 is simplified, it equals 1/20.

First, do -2 x 3

and that will equal -6,

so your answer will be 7^-6

if you also want to solve 7^-6

it will be.... (Look at the photo)

__________

[tex] \: [/tex]

[tex]({7}^{ - 2} ) {}^{3} = ...[/tex]

[tex] = {7}^{ - 2 \times 3} [/tex]

[tex] = {7}^{ - 6} [/tex]

[tex] = \frac{1}{ {7}^{6} } [/tex]

[tex] = \bold{\frac{1}{117.649}} [/tex]

Answer:

c

Step-by-step explanation:

ok

Step-by-step explanation:

It mean more than -42 or equal to -42

please give me a brainliest answer

The inequality that represents the statement "A number x is no less than -42" is x ≥ -42.

The inequality that represents the statement "A number x is no less than -42" can be expressed as:

x ≥ -42

In this inequality, the symbol "≥" stands for "greater than or equal to." It indicates that "x" can take any value that is equal to -42 or any value greater than -42. If "x" equals -42, the condition is satisfied, and if "x" is greater than -42, the condition is also satisfied.

For instance, if "x" is -40, the inequality holds true, as -40 is greater than -42. Similarly, if "x" is 0 or any positive number, the inequality remains true, as all these values are greater than -42.

To know more about inequality here

https://brainly.com/question/20383699

#SPJ2

Answer:

324 642

Step-by-step explanation:

Answer:

29/8

You had to multiply and solve making lowest common multiple

Answer:

115/24

Step-by-step explanation:

first convert the mixed numbers to a whole fraction

then find the least common denominator which is 24

so 31 - 23 + 7 = 115/24

The equation best represents a line parallel to the given line is y = 9/5x - 2/15.

The general equation of a straight line is

y = mx + c,

where m is the gradient, and y = c is the value where the line cuts the y-axis.

This number c is called the intercept on the y-axis.

Now it is given that the line passes through (-2,-4) and (3,5).

So here,

x1 = -2;

y1 = -4;

x2 = 3;

y2 = 5

Hence slope of the line is given as,

m1 = (y2 - y1)/(x2 - x1)

⇒ m1 = {5-(-4)}/{3-(-2)}

⇒ m1 = (5+4)/(3+2)

⇒ m1 = 9/5

Since both the lines are parallel, hence

m1 = m2 = 9/5

Therefore equation of line parallel to the given line will be,

(y - y1) = m2( x - x1)

⇒ {y-(-4)} = 9/5{x - (-2)}

⇒ y + 4  = 9/5(x +2)

⇒ y + 4  = 9/5x + 18/5

⇒ y = 9/5x + 18/5 - 4

⇒ y = 9/5x - 2/15

Hence, The equation best represents a line parallel to the given line is y = 9/5x - 2/15.

More about line :

https://brainly.com/question/14200719

#SPJ6

Answer [tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

13 × 2 + 3 - 6 + 7

multiply first

26 + 3 - 6 + 7

29 - 6 + 7

23 + 7

= 30

Answer:

30

Step-by-step explanation:

13 × 2 + 3 - 6 + 7

Multiply 13 and 2 to get 26.

26 + 3 - 6 + 7

Add 26 and 3 to get 29.

29 - 6 + 7

Subtract 6 from 29 to get 23.

23 + 7

Add 23 and 7 to get 30.

30

Answer:

The car will travel 125 miles

Step-by-step explanation:

The car will go 50 mi in 1 hour. If it travels for 2.5 hours, we can multiply 50 by 2.5.

50*2.5=125

Please give me brainliest.

All I know is that it is acute and less than 51 degrees

Answer:

AOB is 39 degrees.

Step-by-step explanation:

Given that ∠DOE is 51 degrees we know that ∠AOE is 180 degrees as it is a straight line.

∠BOD is a right angle given the ∟symbol so therefore ∠BOD is equal to 90 degrees.

m∠DOE + m∠BOD = 141 degrees (because 51 + 90)

Therefore m∠AOB = 39 because 180 - 141 = 39

Straight angles are equal to 180! Hope this helped

Answer:

[tex]x=0[/tex]

Step-by-step explanation:

Hi there!

[tex]\displaystyle\frac{2}{3} (6x+30)=5(x+4)-2x[/tex]

Distribute 2/3 and 5 into the parentheses:

[tex]4x+20=5x+20-2x[/tex]

Combine like terms:

[tex]4x-5x+2x=20-20\\-x=0\\x=0[/tex]

I hope this helps!

Answer:

$15.14

Step-by-step explanation:

-20.45+35.59 or 35.59-20.45

15.14