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wlad13 [49]
3 years ago
15

Find the Sum of two consecutive odd numbers plus eighteen is 170

Mathematics
1 answer:
puteri [66]3 years ago
4 0

Answer:

75, 77

Step-by-step explanation:

Let the first odd number = 2x -1

Let the second odd number = 2x + 1

2x - 1 + 2x + 1 + 18 = 170           Combine like terms on the left.

4x + 18 = 170                             Subtract 18 from both sides.

4x = 170 - 18                             Combine like terms on the right

4x = 152                                     Divide by 4

4x/4 = 152/4

x = 38

2 * 38 - 1 = 75

2 * 38 + 1 = 77

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Svetach [21]

Answer:

hi

Step-by-step explanation:

7 0
3 years ago
If f(x)=3x^2-9 and g(x)=x^2+1 find (f+g)(x)
givi [52]

Answer:

4x^2 -8

Step-by-step explanation:

f(x)=3x^2-9

g(x)=x^2+1

(f+g)(x)=3x^2-9 +x^2+1

Combine like terms

           = 4x^2 -8

5 0
4 years ago
Mr. Mole left his burrow and started digging his way down at a constant rate. Time (minutes) Altitude (meters) 666 -20.4−20.4min
Juli2301 [7.4K]

Answer:

-6 meters.

Step-by-step explanation:

We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.

We are also given a table of data as:

Time (minutes)     Altitude (meters)

6                                   -20.4

9                                   -27.6

12                                   -34.8

First of all, we will find Mr. Mole's digging rate using slope formula and given information as:

m=\frac{y_2-y_1}{x_2-x_1}, where,

y_2-y_1 represents difference of two y-coordinates,

x_2-x_1 represents difference of two corresponding x-coordinates of y-coordinates.

Let (6,-20.4) be (x_1,y_1) and (9,-27.6) be (x_2,y_2).

m=\frac{-27.6-(-20.4)}{9-6}

m=\frac{-27.6+20.4}{3}

m=\frac{-7.2}{3}

m=-2.4

Now, we will use slope-intercept form of equation to find altitude of Mr. Mole's burrow.

y=mx+b, where,

m = Slope,

b = The initial value or the y-intercept.

Upon substituting m=-2.4 and coordinates of point (6,-20.4), we will get:

-20.4=-2.4(6)+b

-20.4=-14.4+b

-20.4+14.4=-14.4+14.4+b

-6=b

Since in our given case y-intercept represents the altitude of Mr. Mole's burrow, therefore, the altitude of Mr. Mole's burrow is -6 meters.

6 0
3 years ago
Read 2 more answers
1.The sum of 4 and three times a number is 19
fredd [130]

1) 4 + 3(x) = 19

3x=15

x=5

2) 2x -7 = 9

2x=16

x=8

3) not sure

4) 5 (x + 4) = -15

5x+20=-15

5x=-35

x=-7

6 0
4 years ago
Need help please and show work
Aloiza [94]
3z + 6
3z and 6 has greatest common factor, that is 3. Divide 3z and 6 by the greatest common factor (3).
3z ÷ 3 = z
6 ÷ 3 = 2

So, we could work on the expression as following.
3z + 6
= 3 × z + 3 × 2

From the expression above, we should separate 3 from z and 2 by a parenthesis to make distributive property.
3 × z + 3 × 2
= 3(z + 2)

SUMMARY
3z + 6
= 3 × z + 3 × 2
= 3(z + 2)
7 0
3 years ago
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