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Step-by-step explanation:

y=-2x²-25x+10

=x²+25/2x-5

Answer:3b+10

Explanation:Distribution:5(b+2)-2b

5b+10b-2b

Combine like terms:5b+10b-2b

=3b+10

Answer:

3b+10

Step-by-step explanation:

Answer:

7= -3c - 2

7+2= -3

9= -3c

c=9/-3

c= -3

Answer:

I dont know

Step-by-step explanation:

Equation/Question:

Solve for b. 3(b + -2)-8=-5 what is the answer?​

Answer/Steps to answer:

1.Simplify  b+-2 to b−2.

3(b−2)−8=−5

2. Add 8 to both sides.

3(b-2)=-5+8

3. Simplify  -5+8  to  3.

3(b-2)=3

4. Divide both sides by 3.

b-2=1

5. Add 2 to both sides.

b=1+2

6. Simplify  1+2 to 3.

b=3

Done by NeighborhoodDealer

Answer:

negative

1

4,6

Step-by-step explanation:

Answer:

A&C

Step-by-step explanation:

Answer:   1

the first intercept is (1,2) & the second is (3,4)

Step-by-step explanation:  4-2/ 3-1 = 2/2 = 1

formula   2y-y1/ x2-1x which basically means, 1st y intercept - y intercept and 1st x intercept - 2nd x intercept

Answer:

0.08

Step-by-step explanation:

Answer:

0.8=x

Step-by-step explanation:

4x+8=7.2+5x

Subtract 4x from both sides of the equation. This eliminates 4x from one side of the equation and leaves the other side with just 1x or x.

Subtract 7.2 from both sides of the equation to isolate x.

So this concludes that 0.8=x

To check your answer, substitute 0.8 into x.

Answer:

Total surface area of the prism = 920 cm²

Step-by-step explanation:

Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.

Area of one triangular side = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

Area of 2 similar sides = Base × Height

                                     = 8 × 15

                                     = 120 cm²

Area of rectangular side with dimensions 17cm × 20cm

Area of the side = 17 × 20 = 340 cm²

Area of the second rectangular side with dimensions 8cm × 20cm

Area of the side = 8 × 20 = 160 cm²

Area of third rectangular side with dimensions 20cm × 15cm

Area of the side = 20 × 15 = 300 cm²

Total surface area of the given triangular prism = 120 + 340 + 160 + 300

                                                                               = 920 cm²

you have to find a number they are both divisible by to get it to simplest form. 18:225.

divide both by 3. 6:75.

you can divide it by 3 again.

answer: 2:25

The ratio of two quantities can be obtained by writing them as a fraction. The ratio in the form of  1 : n is given as 225 / 18.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

Given that,

The number of staff in the school = 18

And, the number of students in the school = 225

Since, the ratio of two numbers a and b is given as a : b = a / b.

In the form of 1 : n it can be written as, a : b = 1 / (b / a).

Similarly, the ratio of staff and students n the form of 1 : n can be written as,

Staff : Students = 18 : 225

=> Staff : Students = 1 / (18 / 225)

=> Staff : Students = 225 / 18.

Hence, the ratio Staff : Students can be written in the form 1 : n as 225 / 18.

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Answer:

The answer is C

Step-by-step explanation:

Answer:

C. 10/17

Step-by-step explanation:

10/17 is less than the correct answer 1.7 so it is C.

Given:

The two points on a coordinate plane are C(-5,-1) and D(0,3).

To find:

The distance between C and D.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between C(-5,-1) and D(0,3) is

[tex]CD=\sqrt{(0-(-5))^2+(3-(-1))^2}[/tex]

[tex]CD=\sqrt{(0+5)^2+(3+1)^2}[/tex]

[tex]CD=\sqrt{(5)^2+(4)^2}[/tex]

[tex]CD=\sqrt{25+16}[/tex]

On further simplification, we get

[tex]CD=\sqrt{41}[/tex]

[tex]CD=6.40312424[/tex]

[tex]CD\approx 6.40[/tex]

Therefore, the distance between C and D is 6.40 units.

Answer:

The median is 2

Step-by-step explanation:

The middle number of the data set(highlighted dots) is 2.

Hope this helps!

:)

Answer:

Step-by-step explanation:

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Answer:

180-165= 15

(They tried to throw you off with the second line)

Answer is 15 degrees

Answer:

2.4 hr. = time working together

Step-by-step explanation:

Let x = time working together

x/6 = work done by Martin

x/4 = work done by Victor

Martin's part + Victor's part = 1 jog done

x/6 + x/4 = 1  Multiply thru by 12

2x + 3x = 12

5x = 12

x = 2.4 hr.

The time taken to pour concrete on the walkway using their combined rate is 2 hours 24 minutes.

To solve :

Time taken by Martin = 6 hours

Time taken by Victor = 4 hours

Recall :

Rate = 1 ÷ time

Hence ;

Working together :

Therefore, the time taken if they work together will be :

Therefore, The time taken if they work together will be 2.4 hours.

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Answer:

The operation is commutative

Step-by-step explanation:

Operations

The * operation is defined on the set of real numbers R by

[tex]a * b=a^3+b^3-3ab[/tex]

For the operation to be commutative a*b should be equal to b*a.

Computing b*a:

[tex]b * a=b^3+a^3-3ba[/tex]

Rearranging:

[tex]b * a=a^3+b^3-3ab[/tex]

It's apparent that a*b=b*a, thus the operation is commutative

Answer:

What?

Step-by-step explanation:

Answer:

The numbers which have definite value is known as constant. The numbers which don't have a definite value is known as variables.

Answer:

Survey every student participating in after-school sports.

Step-by-step explanation:

Answer:

x = [tex]\frac{b-7}{a-2}[/tex]

Step-by-step explanation:

Given

ax + 7 = 2x + b ( subtract 2x from both sides )

ax - 2x + 7 = b ( subtract 7 from both sides )

ax - 2x = b - 7 ← factor out x from each term on the left side

x(a - 2) = b - 7 ← divide both sides by (a - 2)

x = [tex]\frac{b-7}{a-2}[/tex]

Answer:

=177

Step-by-step explanation:

The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (10³⁶ + 26/18)

The sum of the digits in the expansion is given as,

⇒ 1 + 0 + 2 + 6 + 1 + 8

⇒ 18

The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.

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Answer:

16 miles

Step-by-step explanation:

If 1.5 inches is equal to 4 miles, it would also mean that  3 inches is equivalent to 8 miles, since 4*2=8 and 1.5*2=3. Since we need to find it for 6 inches, we just double the number again to get 6 inches = 16 miles. (3*2=6; 8*2=16)

Answer:

2/3

Step-by-step explanation:

You first multiply 4x1/3 which equals 4/3. Now you do -2/3+4/3=2/3. Hope this helps!

Answer:

2/3

Step-by-step explanation:

[tex]\frac{-2}{3}+4*\frac{1}{3}=\frac{-2}{3}+\frac{4}{3}\\\\=\frac{(-2) + 4}{3}\\\\\\= \frac{2}{3}[/tex]

Answer:

- 32

Step-by-step explanation:

Given a quadratic equation in standard form, ax² + bx + c = 0 ( a ≠ 0 ), then

the discriminant is

Δ = b² - 4ac

- x² + 2x - 9 = 0 ← is in standard form

with a = - 1, b = 2, c = - 9 , so

b² - 4ac

= 2² - (4 × - 1 × - 9)

= 4 - (36)

= - 32

Answer:

Step-by-step explanation:

Answer:

- 1

Step-by-step explanation:

[tex]\frac{1}{\cot ^2\left(x\right)}-\frac{1}{\cos ^2\left(x\right)}\\\\\mathrm{Use\:the\:basic\:trigonometric\:identity}:\quad \frac{1}{\cos \left(x\right)}=\sec \left(x\right),\\\frac{1}{\cot ^2\left(x\right)}-\sec ^2\left(x\right)\\\\\mathrm{Use\:the\:basic\:trigonometric\:identity}:\quad \frac{1}{\cot \left(x\right)}=\tan \left(x\right),\\\tan ^2\left(x\right)-\sec ^2\left(x\right)\\\\=> \frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)}-\frac{1}{\cos ^2\left(x\right)}\\[/tex]

[tex]=> \frac{\sin ^2\left(x\right)-1}{\cos ^2\left(x\right)}\\\\=> -\frac{\cos ^2\left(x\right)}{\cos ^2\left(x\right)}\\=> - 1[/tex]

Hope  that  helps!

By using trigonometric identities,  [tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex] = -1

"Trigonometric identities are equations that relate to different trigonometric functions and are true for any value of the variable that is there in the domain."

Given expression

[tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex]

We know the trigonometric identity

[tex]{cot^{2}(x) } =( \frac{sinx}{cosx})^{2}[/tex]

= [tex]\frac{1}{(\frac{cosx}{sinx} )^{2} } -\frac{1}{cos^{2}(x) }[/tex]                    

= [tex]\frac{sin^{2} (x)}{cos^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex]

= [tex]\frac{sin^{2}(x)-1}{cos^{2}x }[/tex]

= [tex]\frac{-(1- sin^{2}(x))}{cos^{2}x }[/tex]

We know the trigonometric identity

[tex]sin^{2}(x) +cos^{2}(x) = 1[/tex]

= [tex]\frac{-(cos^{2}x)}{cos^{2}x }[/tex]

= -1

Hence, [tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex] = -1

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Answer:

25,300

Step-by-step explanation:

Its already rounded.