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2 years ago

Yesterday , between noon and midnight the temperature dropped 29.6. If the temperature was -5.4 at midnight what was it at noon

Mathematics

2 answers:

vivado [14]2 years ago

8 0

Answer:

-35°

Step-by-step explanation:

add the original temperature to the amount it dropped, then add a negative sign

In-s [12.5K]2 years ago

3 0

Answer:

24.2

Step-by-step explanation:

-5.4 + 29.6 is 24.2

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Sum of positive roots of the equation (x2 - 12x + 35) (x2 + 10x + 24) = 504 is

Digiron [165]

Answer:

(3)11

Step-by-step explanation:

We are given that

$(x^2-12x+35)(x^2+10x+24)=504$

We have to find the sum of positive roots of the equation.

$x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504$

$x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504$

$x^4-2x^3-61x^2+62x+840-504=0$

$x^4-2x^3-61x^2+62x+336=0$

Factor of 336

2,3,4,6,8,7,

Let x=2

$2^4-2^4-61(2^2)+62(2)+336\neq0$

x=2 is not the root of equation

x=-2

$(-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0$

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

$3^4-2(3^3)-61(3^2)+62(3)+336=0$

Therefore, x=3 is the root of equation.

$(x+2)(x-3)(x^2-x-56)=0$

$(x+2)(x-3)(x^2-8x+7x-56)=0$

$(x+2)(x-3)(x(x-8)+7(x-8))=0$

$(x+2)(x-3)(x-8)(x+7)=0$

$x-8=0\implies x=8$

$x+7=0\implies x=-7$

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

4 0

2 years ago

Please answer these questions! Need help!

astra-53 [7]

Answer:

Question 2 is $500 and Question 3 is 5

Step-by-step explanation:

3 0

2 years ago

A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the

horsena [70]

Answer: distributive property

Step-by-step explanation:

$5(18)=2(18)+3(18)$

$18(2+3) = 2* 18+ 3*18$

$18*5 = 2* 18+ 3*18$

5 0

2 years ago

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X + 5 > 7<br> it’s inequalities

Hatshy [7]

Answer:

X>2

Step-by-step explanation:

X+5>7

X>2

7 0

3 years ago

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WILL GIVE BRAINLY IF QUICK. 40 POINTS!!!!

sdas [7]

Answer:

x = $\sqrt{1}$

Step-by-step explanation:

(x + 6 )^2 = 49

get rid of the square , by square rooting the 49

x + 6 = $\sqrt{49}$

x = $\sqrt{49}$ -6

x = $\sqrt{1}$

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therefore the answer is = or - 1

hence in terms of roots .. answer is :

$\sqrt{1}$

3 0

3 years ago

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