Solve with steps for this questions
solve with steps for this questions - 1

Answers

Answer 1
Answer:

Answer:

see explanation

Step-by-step explanation:

given

g(x) = 3x² - 5 then g(t) = 3t² - 5

Also g(t) = - (7)/(2) t, hence

3t² - 5 = - (7)/(2) t

multiply both sides by 2 to eliminate the fraction

6t² - 10 = - 7t ( add 7t to both sides )

6t² + 7t - 10 = 0 ← in standard form

(t + 2)(6t - 5) = 0 ← in factored form

Equate each factor to zero and solve for t

t + 2 = 0 ⇒ t = - 2

6t - 5 = 0 ⇒ t = (5)/(6)

Answer 2
Answer: 7/2t. That’s my answer but sorry I didn’t work it out

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Round 76340 to the nearest thousand

Find the measurements of

Answers

For x -

180 = 4x + 6 + 11x - 6

180 = 15x

(180)/(15) = x

x = 12

For m∠ABD -

4(12) + 6

48 + 6

m∠ABD = 54

For m∠DBC -

11(12) - 6

132 - 6

m∠DBC = 126

Answer:

x = 12° ;m∠ABD= 54°    ; m∠DBC=126°

Step-by-step explanation:

ABD + ∠DBC = ∠ABC

Here ,

∠ABC is a straight line .

We know,

A straight angle is 180 degrees.

So,

ABD + ∠DBC = 180°

⇒(4x+6)° + (11x-6)° =180°                        [given]

⇒15x =180°

⇒x = (180/15)°      [divide both sides by 15]

x = 12°

Now,

ABD = (4x+6)°         [given]

           ={(4 . 12) + 6 }°    

            =(48+6)°

            =54°  

And,

DBC = (11x-6)°                       [given]

           ={(11 .12)-6}°

           =(132 - 6)°

           =126°  

What number should be added to the expression to turn it into a perfect square trinomial x^2+2x

Answers

kinda like completing the square
if you have
ax^2+bx+c
a=1 for ease

take b and halve it then square that
then make c= that

x^2+2x+c
a=1 good
b=2
2/2=1
1^2=1
x^2+2x+1
(x+1)^2

the number 1 should be added

Solutions 

A Perfect Square Trinomial is the product of two binomials. Both the binomials are same. When you multiply an algebraic expression with two terms to itself, you will get a three-term expression called a perfect square trinomial. A perfect square trinomial is one that factors into two identical factors. The general forms of perfect square trinomial are = 

(ax - b)² = (ax)² - 2axb + b² and (ax + b)²= (ax)² + 2axb + b²

Calculations 

αx²+βx+c

The variable α = 1 for ease

Take the variable b and half it then square that
to make c = number

x²+2x+c

variable α = 1 

variable β = 2 

2 ÷ 2=1

1² = 1 

x²+2x+1

(x+1)² 

In conclusion the number (1) should be added to the expression to turn it into a perfect square trinomial . 

Explain how am estimate helps you to place the decimal point when multipling 3.7 X 5.1

Answers

well 3.7×5.1 put the decimals at the end so 37×51=1887 there is 2 decimals so it should be 18.87 you put it back 2 spaces since there's 2 decimals
Since 3*5=15, then the answer to 3.7*5.1 should be close to that same value. But if you were solving it by hand, and accidentally wrote the answer as 1.887 or 188.7. Estimating helps you know that you placed the decimal in the wrong area, Since the number isn't close to 15.3.7*5.1+18.87

What is 5/100 as a decimal

Answers

0.05 simple. Move the spaces to the left as the number of 0 in the decimal. Two 00 so move two space to the  left.
Your answer would be 0.05, because you MUST divide 5 into 100, which gets you 0.05.
I hope I helped! :-)

If the sum of the interior angles of a polygon equals 2700°, How many degrees are there in each interior angle of given polygon?

Answers

Answer:

17 angles

Step-by-step explanation:

(n - 2) * 180 = 2700 degrees - the sum of enterior angles,

where n is the number of angles of the given polygon

(n - 2) = 2700 / 180

n - 2 = 15

n = 15 + 2

n = 17

Answer:

17 sides

Step-by-step explanation:

Please can you fully factorise these equasions? 36x cubed - 6x
12x cubed + 15x squared
And 8x - 10x squared

Answers

36x^3-6x=6x(6x^2-1)=6x[(x\sqrt6)^2-1^2]=6x(x\sqrt6-1)(x\sqrt6+1)\n\n12x^3+15x^2=3x^2(4x+5)\n\n8x-10x^2=2x(4-5x)
1)\n 36x^3-6x=6x(6x^2-1)=6x[( √(6) \cdot x)^2-1^2]=6x(x √(6) -1)(x √(6) +1)\n \n2)\n12x^3+15x^2=3x^2(4x+3)\n \n3)\n8x-10x^2=2x(4-5x)