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3 years ago

What is the product ?

Mathematics

1 answer:

rjkz [21]3 years ago

6 0

Answer:

Step-by-step explanation:

[4 2] * -2 5 = [ 4*-2 + 2*7 4*5+2*-1]

7 -1

= [-8+14 20-2]

= [6 18]

You might be interested in

Solve for x: 1 1/5x−2 1/3<1/7x+1 1/2

Mashcka [7]

Answer: $x$

Step-by-step explanation:

$1\frac{1}{5}x-2\frac{1}{3}$

Add $2\frac{1}{3}$ on both sides and subtract $\frac{1}{7}x$ on both sides to leave x's on the left side and independent values on the right.

$(2\frac{1}{3}-\frac{1}{7}x) +1\frac{1}{5}x-2\frac{1}{3}$

$1\frac{1}{5}x-\frac{1}{7}x$

Solve the fractions.

$1(\frac{1}{5}-\frac{1}{7})x$

$1(\frac{(1)(7)-(5)(1)}{(5)(7)} )x$

$1(\frac{7-5}{35} )x$

$1(\frac{2}{35} )x$

$1\frac{2}{35}x$

Convert the mixed fraction $1\frac{2}{35}$ to an improper fraction. You can do this by multiplying 1 times 35 and adding 2.

$\frac{37}{35}x$

Now use the reciprocal (inverse fraction) and multiply on both sides to isolate x.

$(\frac{35}{37}) (\frac{37}{35})x$

$x$

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

Based only on the information given in the diagram, it is guaranteed that ДАВС дXYZ. A. True B. False

EastWind [94]

Answer:

True

Step-by-step explanation:

They both have a 90 degree angle
90+38=128
180-128=52
The triangles are similar by AAA(Angle Angle Angle)

6 0

3 years ago

Each angles of an equilateral traingle is 60, proove it experimentally

MArishka [77]

Answer:

True

Step-by-step explanation:

We knwo this is true because a triangle angle theorem is that the sum of the angles in a triangle is equal to 180 degrees.

Since tri = 3 then,

=> 180/3 = 60

Equal = same --> def. of equilateral triangle

Thus, we know it is true that in an equilateral triangle, each angle is 60 degrees

Hope this helps!

5 0

3 years ago

Solve for x: 9(x+1) = 25+X

Inessa [10]

Answer:

$x=2$

Step-by-step explanation:

$9(x+1) = 25+x$

Distribute the 9:

$9x+9=25+x$

Subtract x on both sides:

$8x+9=25$

Subtract 9 on both sides:

$8x=16$

Divide both sides by 8:

$x=2$

5 0

3 years ago

Read 2 more answers