It is -40°F on a cold night in the North Pole. When the sun is out the next day, it is -5°F. What is the difference in temperatures?

Answers

Answer 1

Answer: since -40 and -5 are both negative, you can pretty much ignore the negatives. do 40-5, and you get 35. that's your answer.

Answer 2

Answer: The difference is 35 degrees F.

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Find x if f(x) = 2x + 7 and f(x) = -1.

Answers

Answer: The required value of x is -4.

Step-by-step explanation: We are given to find the value of x if :

$f(x)=2x+7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\n\nf(x)=-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Since both the equations (i) and (ii) are the values of x, so comparing the equations, we get

$2x+7=-1\n\n\Rightarrow 2x=-1-7\n\n\Rightarrow 2x=-8\n\n\Rightarrow x=-(8)/(2)\n\n\Rightarrow x=-4.$

Thus, the required value of x is -4.

f(x) = 2x+7

-1 = 2x+7
-7 -7

-8 = 2x

-8/2 = 2x/2

-4 = x

x = -4

Solve the equation: x^2 - 6x = 7

A. x = 7 , 1
B. x = -7 , 1
C. x = 7 , -1

Answers

x^2 - 6x = 7
(x - 7)(x + 1)= 0
x = 7, - 1

The answer is: x = 7, -1.

Answer:

${x}^(2) - 6x = 7 \n {x}^(2) - 6x - 7 = 0 \n {x}^(2) + x - 7x - 7 = 0 \n x(x + 1) - 7(x + 1) = 0 \n (x + 1)(x - 7) = 0 \n \boxed{x = - 1} \n \boxed{ x = 7}$

A car travels 120km at a certain speed. If the journey takes 2 1/2{Two and the half hours}, find the average speed{Let the speed be v km/h}

Answers

Answer:

48 km/h

Step-by-step explanation:

Distance = 120 km

Time = 2½ h

Speed = ?

We know that

Speed = Distance/Speed

Let,

Speed = v km/h

=> v = 120/(2½)

=> v = 120/(5/2)

=> v = 120 × 2/5

=> v = 24 × 2

=> v = 48 km/h

Average speed is 48 km/h

Log4(x)+log4(x+15)=2

Answers

$D:x>0 \wedge x+15>0\nD:x>0 \wedge x>-15\nD:x>0\n\n\log_4x+\log_4(x+15)=2\n\log_4x(x+15)=2\n4^2=x(x+15)\n16=x^2+15x\nx^2+15x-16=0\nx^2-x+16x-16=0\nx(x-1)+16(x-1)=0\n(x+16)(x-1)=0\nx=-16 \vee x=1\n-16\not \in D \Rightarrow \boxed{x=1}$

Log4(x)+log4(x+15)=2
x>0;
x+15>0 => x>0
Log4(x)+log4(x+15)=2
Log4(x*(x+15))=Log4(16)x*(x+15)=16
x1=1
x2=-16
х=1

Use the following number line to determine if the expressions are true or false.

Answers

Answer:

${ \tt{a < b→true}} \n { \bf{reason :because \: - 1 \: is \: less \: than \: 4.5 }}\n \n { \tt{ |a| > b →false}} \n { \bf{reason :1 \: is \: not \: greater \: than \: 4.5 }}\n \n { \tt{a < |b| →true}}$

Answer:

true

false

true

Step-by-step explanation:

UnlimitedFactor by grouping (sometimes called the ac-method).
4x² + 3x - 10
First, choose a form with appropriate signs.
Then, fill in the blanks with numbers to be used for grouping.
Finally, show the factorization.
Form:
o
Ax? +
1 x + x - 10
Х
$
4x
+
x - l * - 10
4x?
[ x + x - 10
4x?
x - 10
Factorization:

Answers

Answer:

(4x - 5)(x + 2).

Step-by-step explanation:

4x^2 + 3x - 10

4 * 10 = -40

We need 2 numbers whose product is -40 and whose sum is +3.

Theses are = - 5 and + 8.

So we write:

4x^2 + 8x + -5x - 10

= 4x(x + 2) - 5(x + 2)

= (4x - 5)(x + 2).

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