Factor: 10m^3 + 12m^2-35m -42
we are doing factoring trinomials and factor by grouping

-5a²+13ab should be subtracted.

Based on the given conditions, formulate,

[tex]→- {a}^{2} - 4 {a}^{2} + 13ab[/tex]

[tex]→-({a}^{2} - 4 {a}^{2}) + 13ab[/tex]

Taking the coefficients or numbers, we get,

[tex]→(- 1 - 4) {a}^{2} + 13ab[/tex]

[tex]→ - 5 {a}^{2} + 13ab[/tex]

Given :

What should be subtracted from a² – 7ab + 3b² to get – 4a² + 6ab + 3b² ?

Solution :

Let the required expression to be subtracted be x

⇢ a² – 7ab + 3b² – x = – 4a² + 6ab + 3b²

⇢ a² – 7ab + 3b² – (– 4a² + 6ab + 3b²) = x

⇢ a² – 7ab + 3b² + 4a² – 6ab – 3b² = x

Combining the like terms :

⇢ a² + 4a² – 7ab – 6ab + 3b² – 3b² = x

⇢ 5a² – 13ab = x

⇢ x = 5a² – 13ab

Therefore,

5a² – 13ab should be subtracted from a² – 7ab + 3b² to get – 4a² + 6ab + 3b².

Angle 1 = 54.

Step-by-step explanation:

54+36= 90 or 90-36=54

Answer:

30%

Step-by-step explanation:

Purchases:

Coat £20

Hat £15

Gloves for £5

Total amount of purchases: £20 + £15 + £5 = £40

Sales:

Coat at 50% profit: 150% × £20 = 1.5 × £20 = £30

Hat: £18

Gloves at a 20% loss: 80% of £5 = £4

Total amount of sales: £30 + £18 + £4 = £52

Amount of profit: £52 - £40 = £12

Percent of profit: £12 / £40 × 100% = 30%

Answer:

a    8 parts     b    8    3|4 =  3×2|4×2=b|8

Step-by-step explanation:

Answer:

18.90

Step-by-step explanation:

Answer:

Take the values in the box:

IQTR = 16 - 7

= 9

Answer:

55

Step-by-step explanation:

The Distance between (-2, -5) and (-2, 6) is 11 and the distance between (-2, 5) and (3, 5) [the altitiude] is 5. 11 x 5 is 55 so therefore the area is 55 :)

Answer:

y = [tex]\frac{4}{3} x + 2[/tex]

Answer:

Y=4/3x+2

Step-by-step explanation:

The slope is 4/3 because i counted 3 spaces to the right and 4 spaces up which is 4/3 and the starting point is 2 which is where it crosses on the y intercept hope this helps! :)

The radius of the circle expressed as a mixed number is:  [tex]3\frac{11}{12}[/tex] inches.

Radius of a circle = half the measure of the diameter of a circle.

Given:

diameter of a circle = [tex]7\frac{5}{6}[/tex] inches

Therefore:

Radius of the circle = 1/2([tex]7\frac{5}{6}[/tex])

= 1/2(47/6)

= (1 × 47)/(2 × 6)

= 47/12

= [tex]3\frac{11}{12}[/tex] inches.

Therefore, the radius of the circle expressed as a mixed number is:  [tex]3\frac{11}{12}[/tex] inches.

Learn more about radius of a circle on:

https://brainly.com/question/24375372

Step-by-step explanation:

for x = 2

a = 500 × (3/5)²

for x = 4

b = 500 × (3/5)⁴ = 500×(3/5)²×(3/5)²

so,

a/b = (500 × (3/5)²) / (500 × (3/5)² × (3/5)²) =

= 1/(3/5)² = 1/(9/25) = 25/9 = 2.777777778...

Answer:

315 dm3

Step-by-step explanation:

[tex]V=\frac{lwh}{3} \\\V=\frac{9*7*15}{3} \\V=\frac{945}{3} \\V=315[/tex]

Answer:

4 ( n + 2 )

[tex]4(n + 2)[/tex]

Using sampling concepts, it is found that the sampled is biased because only parents who attend the school's musical show are surveyed, hence they are not very likely to support the decrease, and the population proportion should be greater than the one found in the show.

Samples may be classified as:

A sample has to take into account all aspects of the population, otherwise it is biased. In this problem, either people support the decrease, or they do not. Only people that went to the show were surveyed, that is, people who are unlikely to support the decrease, which generates bias, as the population proportion should be greater than the one found in the show.

More can be learned about sampling concepts at https://brainly.com/question/25122507

The dilation which represented by the line is enlargement and the scale factor of dilation is 2.

Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.

The distance from O to A is 3. Therefore,

[tex]OA=3[/tex]

The distance from A to A prime is 3. Therefore,

[tex]AA'=3[/tex]

Here, the new length of the line segment is,

[tex]OA'=OA+AA'\\OA'=3+3\\OA'=6[/tex]

The scale factor of dilation is,

[tex]r=\dfrac{OA'}{OA}\\r=\dfrac{6}{3}\\r=2[/tex]

The scale factor is 2 and the image is enlarged.

Hence, the dilation which represented by the line is enlargement and the scale factor of dilation is 2.

Learn more about the dilation of the figure here;

https://brainly.com/question/3457976

Answer:

enlargement

2

Step-by-step explanation:

Answer:

  x = 3

Step-by-step explanation:

The Pythagorean theorem tells you the sum of squares of the legs is equal to the square of the hypotenuse. In this geometry, a radius from the circle center to point T is length x, and is one leg of the right triangle.

  x^2 +4^2 = (x +2)^2

  x^2 +16 = x^2 +4x +4 . . . . . expand

  12 = 4x . . . . . . . . . . . . . subtract (x^2 +4)

  3 = x . . . . . . . divide by 4

The radius of the circle is 3 cm.

Answer:

Janelle can ride her bike at a rate of 9.32 miles per hour

Step-by-step explanation:

15 kilometers is 9.32 miles

Answer:

ok so lets find the difference on the table

from 5 to 8 is goes up 250.5(668-417.5)

so that means 3 tickets goes 250.5 so lets divide by 3

250.5 divide by 3=83.5 per ticket

83.5*6=501

501

Hope This Helps!!!

Answer:

Equation : $83.50x = Cost of the tickets

(where x = number of tickets)

Cost of 6 tickets : $501

Step-by-step explanation:

I'm not sure if this is the way they want you to do it, but what I did is :

1) Solve a proportion to figure out the cost of 1 ticket

5/417.50 = 1/x

5x = 417.50(1)

5x/5 = 417.50/5

x = 83.50

So, the cost of 1 ticket is $83.50

2) Create an equation

If x equals the number of tickets :

83.50x = Cost of the tickets

3) Solve for 6 tickets

83.50(6) = Cost of the tickets

501 = Cost of the tickets

Substitute x for the number of tickets, which is 6 and you'll get $501 :)

Answer:

1800-35%=1170

1170-35%=760,5

760,5-35%=494,325

494,325-35%=321,31

311,31-35%=208,85

after round it is 209

Answer:

$209

Step-by-step explanation:

1800-(1800*.35)=1170

1170-(1170*.35)=760.5

760.5-(760.5*.35)=494.325

494.325-(494.325*.35)=321.31125

321.31125-(321.31125*.35)=208.8523125

$209 after 5 years

Hope this helps

Answer:

24 feet

Step-by-step explanation:

a yard is 3 feet

8 yards is

8 × 3

24 feet

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{4}}}\implies \cfrac{1+1}{-7}\implies -\cfrac{2}{7}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-\cfrac{2}{7}}(x-\stackrel{x_1}{4})\implies y+1=-\cfrac{2}{7}(x-4) \\\\\\ y+1=-\cfrac{2}{7}x+\cfrac{8}{7}\implies y=-\cfrac{2}{7}x+\cfrac{8}{7}-1\implies y=-\cfrac{2}{7}x+\cfrac{1}{7}[/tex]

Answer:

vertex: -2,1

Step-by-step explanation:

You need to graph it.

Answer:

8

Step-by-step explanation:

If we write this as an expression it looks like [tex]16^{\frac{3}{4} }[/tex]

Multiply the top number of the fraction by itself to find its square. Write the result and place the fraction line below it.

Answer:

y-intercept: -0.8

x-intercept: 1.333

Answer:

x < 38 represents that there is less than 38 cubic meters of water in the pool.

Step-by-step explanation:

" < " sign represents less than.

" > " sign represents more than.

" ≥ " sign represents at least or more than.

" ≤ "sign represents at least or less than.

Answer:

B

Step-by-step explanation:

The sign < means less than

Given x is the volume of the pool

Therefore, x < 38 means the volume of the pool is less than 38 m³

For information, the statements written as inequalities would be

A: x > 38

B: x < 38

C: x ≥ 38

D: x ≤ 38

Answer: A

Step-by-step explanation:

Looks like A, since it's the altitude.

Answer:

Here is the answer......hope u understand...