Simplify -|-5 + 2|. A.-7 B.-3 C.3 D.7

Given that Y= 3x – 8, what is the sum of the gradient and intercept of the linear equation? *

chubhunter [2.5K]

Answer:

- 5

Step-by-step explanation:

The equation of a line in slope - intercept form is

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

y = 3x - 8 ← is in slope- intercept form

with gradient m = 3 and y- intercept c = - 8 , thus

m + c = 3 + (- 8) = 3 - 8 = - 5

5 0

3 years ago

The average number of traffic tickets issued in a city on any given day

Anton [14]

Answer:

The most tickets were written on Saturday .On Saturday 325 tickets were issued

Step-by-step explanation:

The average number of traffic tickets issued in a city on any given day Sunday-Saturday can be approximated by

$T(x) = -6x^2 + 84x + 37$

Where x represents the number of days after Sunday

T(x) represents the number of traffic tickets issued.

Sunday = x=0

Monday = x=1

Tuesday = x=2

Wednesday = x=3

Thursday = x =4

Friday = x=5

Saturday = x=6

Substitute x= 0

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(0)^2 + 84(0) + 37\\T(x)=37$

On Sunday 37 tickets were issued

Substitute x= 1

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(1)^2 + 84(1) + 37\\T(x)=115$

On Monday 115 tickets were issued

Substitute x= 2

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(2)^2 + 84(2) + 37\\T(x)=181$

On Tuesday 181 tickets were issued

Substitute x= 3

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(3)^2 + 84(3) + 37\\T(x)=235$

On Wednesday 235 tickets were issued

Substitute x= 4

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(4)^2 + 84(4) + 37\\T(x)=277$

On Thursday 277 tickets were issued

Substitute x= 5

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(5)^2 + 84(5) + 37\\T(x)=307$

On Friday 307 tickets were issued

Substitute x= 6

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(6)^2 + 84(6) + 37\\T(x)=325$

On Saturday 325 tickets were issued

Hence the most tickets were written on Saturday .On Saturday 325 tickets were issued

6 0

3 years ago

According to the table, which ordered pair is a local minimum of the function, f(x)?

sveticcg [70]

Answer:

Option D

Step-by-step explanation:

Given is a table which gives the order pair of x and y for a function f(x)

We have to find the local minimum of the function f(x)

We have from the table the values of different f(x)

Of all we find the least value is -15 and for this x value is -2 or +2

Hence f(x) has minimum at two points

(-2,-15) and (2,-15)

Out of 4 options given we find that (2,-15) appears in IV option

Hence option D is right answer

7 0

3 years ago

Read 2 more answers

1-10 just the answer not a really big explanation please

goblinko [34]

Answer:

Step-by-step explanation:

1) Isosceles triangle

2) Right angled triangle

3) Scalene triangle

4) Equilateral triangle

5) Right angled triangle

6) Scalene triangle

7) Equilateral triangle

8) Scalene triangle

9) a) Equilateral triangle

9) b) Scalene triangle

9) c) Isosceles triangle

9) d) Right angled triangle

Note: Right angled triangle - If one angle is right angle, then it is Right angled triangle

Isosceles triangle: If two angles or two sides are equal, then it is Isosceles triangle.

Scalene triangle: If all three sides or three angles have different measurement, then it is Scalene triangle.

Equilateral triangle: If all the three sides are equal or all the three angles are equal, then it is Equilateral triangle

7 0

3 years ago

Riley is planning to plant a lawn in his yard. He will need 9 pounds of grass seed. He wants to mix Bermuda seed that costs $4.8

tankabanditka [31]

Given that total number of pounds of grass seed needed = 9

Let number of pounds of Bermuda seeds used = x

Let number of pounds of Fescue seeds used = y

Then sum of both gives equation:

x+y=9

or y=9-x...(i)

Given that cost of 1 pound of Bermuda seed = $4.80

Then cost of x pound of Bermuda seed = $4.80x

Given that cost of 1 pound of Fescue seed = $3.50

Then cost of y pound of Fescue seed = $3.50y

total cost will be 4.80x+3.50y

Given that cost of 1 pound of mix seed = $4.02

Then cost of 9 pound of mix seed = $4.02*9

combining all three parts, we get equation:

4.80x+3.50y=4.02*9

4.80x+3.50y=36.18...(ii)

plug (i) into (ii)

4.80x+3.50y=36.18

4.80x+3.50(9-x)=36.18

4.80x+31.5-3.50x=36.18

4.80x-3.50x=36.18-31.5

1.3x=4.68

x=3.6

Now plug x=3.6 into (i)

y=9-x=9-3.6=5.4

Hence final answer is given by:

Let number of pounds of Bermuda seeds he should buy = 3.6 pounds

Let number of pounds of Fescue seeds he should buy = 5.4 pounds

5 0

3 years ago