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lesya [120]
3 years ago
10

What is the equation of the graphed linear model? y = x +

Mathematics
1 answer:
timofeeve [1]3 years ago
7 0

Answer:

y = - 2x + 110

Step-by-step explanation:

The equation of a line in slope- intercept form is

y + mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 110) and (x₂, y₂ ) = (20, 70) ← 2 points on the line

m = \frac{70-110}{20-0} = \frac{-40}{20} = - 2

the line crosses the y- axis at (0, 110) ⇒ c = 110

y = - 2x + 110 ← equation of line

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A carpenter cut a board that was 10 feet long into two pieces. The longer piece is 2 feet longer than three times the length of
velikii [3]

Answer:

shorter piece: 2 feet

longer piece: 8 feet

Step-by-step explanation:

let the shorter piece be x

then the longer piece will be 3x + 2

<u>if they join together</u>:

  • 3x + 2 + x = 10
  • 4x + 2 = 10
  • 4x = 10 -2
  • 4x = 8
  • x = 2

<u>Longer piece</u>:

  • 3x + 2
  • 3(2)+2
  • 8 feet
7 0
2 years ago
Read 2 more answers
Solve for x.<br><br> 10x2 – 29x – 21 = 0
Nitella [24]
There are two plausible answers
1. <span><span>x = -3/5 = -0.600
</span><span>2.x = 7/2 = 3.500</span></span>
5 0
3 years ago
Please help I’m desperate
JulijaS [17]

Answer:

#2 is 512mm³

#3 is 120m³

Step-by-step explanation:

#2

8³ which # 8×8×8=512mm³

#3 v=bh

v=20×6

v=120m³

4 0
3 years ago
Kayson mixes 300 milliliterss of spinach, 200 mL of berries, and 42 mL of dressing to make a salad. There are sss milligrams of
melomori [17]

Let T be total number of milligrams of vitamin C in our salad.

We have been given that there are s milligrams of vitamin C per milliliter of spinach, B mg per milliliter of berries, and D mg per milliliter of dressing.

Let us find how much mg of vitamin C our each ingredient of salad will have.

We have been given that a salad contains 300 milliliters of spinach, 200 ml of berries, and 42 ml of dressing.  

\text{Mg vitamin C in 300 ml spinach}=300\cdot\text{s mg}

\text{Mg vitamin C in 200 ml berries}=200\cdot\text{B mg}

\text{Mg vitamin C in 42 ml dressing}=42\cdot\text{D mg}

To find total milligrams of vitamin C in our salad we will add milligrams of vitamin C in each of three ingredients of salad.

T=(300s+200B+42D)\text{ mg}

Therefore, our desired expression will be T=(300s+200B+42D)\text{ mg}.

5 0
3 years ago
Read 2 more answers
Q18. The sum of the first N terms of an arithmetic series, S, is 292 The 2nd term of S is 8.5 The 5th term of Sis 13 Find the va
Gelneren [198K]

Step-by-step explanation:

Sn= a+[n-1]d

S2= a+[2-1]d

8.5 = a+d _______Equation 1

S5 = a+[5-1]d

13=a+4d ________Equation 2

Subtract Equation 1 from Equation 2

13=a+4d

-

8.5= a+d

________

4.5= 3d

d=1.5

Substituting d=1.5 in equation 1

8.5=a+1.5

a=8.5-1.5

a=7

Sum of terms of an A.P =

Sn= n/2[2a+(n-1)d]

292= n/2[2×7+(n-1)d]

292=n/2[14+(n-1)1.5

292×2=n[14+(n-1)1.5]

584=n[14+1.5n-1.5]

584= 14n+1.5n²-1.5n

584= 1.5n²+12.5n

1.5n²+12.5n-584

1.5n²-24n+36.5n-584

1.5n(n-16)+36.5(n-16)

(1.5n+36.5)(n-16)

**n-16=0

n=16

3 0
1 year ago
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