MATHEMATICS HIGH SCHOOL

the highest recorded temperature in the uk is 39° c. the lowest recorded temperature in the uk is - 27° c What is the difference between these two amounts?

Answers

Answer 1

Answer: since one is negative and you have to find the absolute value you add, getting 66 degrees celcius difference

Answer 2

Answer:

Answer:

Step-by-step explanation:

Related Questions

A newspaper ad includes a telephone number 1-555-dial vsw. How many seven letter arrangements are possible for the phone number using the 26 letters of the alphabet of no letter is ised more than once? Express your answer using scientific notation.
Margaritas is a very popular restaurant. Occasionally, the restaurant provides lunch and/or dinner for a local charity house. Each lunch costs $6.50. Each dinner costs $10.25. The restaurant's expenses for providing the meals cannot exceed $1,183 per trimester. If x represents the number of lunches and y represents the number of dinners, what domain best fits the situation
9 students volunteer for a committee. how many different 2-person committees can be chosen?
an angle measure x degrees. what is the measure of its compliment? what is the measure of its supplement?
Find an equation for a quartic function containing the following points: (2, 60), (-3, 0), (-1, 0), (4, 0), (1, 0).Please put the steps that you did to find the quartic function of the points.

Susie is solving the quadratic

Answers

Answer:

Option (D)

Step-by-step explanation:

Standard equation of a quadratic function is,

ax² + bx + c

Comparing this function with the given quadratic function,

f(x) = 2x² - 4x - 3

a = 2, b = -4 and c = -3

By using quadratic formula to get the value of x,

x = $(-b\pm √(b^2-4ac) )/(2a)$

= $(-(-4)\pm √((-4)^2-4(2)(-3)) )/(2(2))$

= $(4\pm√(16+24))/(4)$

= $(-4\pm √(40))/(4)$

= $(-2\pm √(10))/(2)$

Therefore, Susie made a mistake in step IV.

Option (D) is the answer.

holly earns 30 babysitting 5hours she earns 28 dollars when she does chores 4 hours witch compares the unit rates

Answers

Answer:

Step-by-step explanation:

Final answer:

Holly earns $6 per hour for babysitting and $7 per hour for chores, meaning she earns more per hour when doing chores.

Explanation:

The question is about comparing the unit rates between Holly's babysitting job and her chore earnings. Unit rate refers to the amount of money earned per hour. Here's how we calculate it:

For babysitting, Holly earns $30 for 5 hours. So, the unit rate for babysitting would be $30/5 = $6 per hour.
For chores, Holly earns $28 for 4 hours. So, the unit rate for chores would be $28/4 = $7 per hour.

So, Holly earns more per hour when she is doing chores compared to when she's babysitting.

Learn more about Unit Rate here:

brainly.com/question/11258929

#SPJ12

If €1 = £0.72 what would is the exchange rate £ - €

Answers

We know that 1 euro equals 0.72 pounds. To deduce the inverse conversion, we have to manipulate this equation so that it looks like

"x euros = 1 pound"

If you divide both sides of the equation by 0.72, the pounds coefficient will become 1, and you'll get the amount of euros that equal 1 pound.

Answer:

Step-by-step explanation:

Determine the value of k so that 2x^2+kx+5=0 has each type of solutions: 2 real solutions:
2complex,nonreal solutions:
Exactly 1 real solution:

Answers

$2x^2+kx+5=0 \n \na=2 \n b=k \n c=5 \n \Delta=b^2-4ac=k^2-4 * 2 * 5=k^2-40$

When the discriminant Δ is greater than 0, the equation has 2 real solutions:
$k^2-40 > 0 \nk^2>40 \nk>√(40) \ \lor \ k<-√(40) \nk>2√(10) \ \lor \ k<-2√(10) \n\boxed{k \in (-\infty,-2√(10)) \cup (2√(10), +\infty)}$

When the discriminant Δ is less than 0, the equation has 2 complex and no real solutions:
$k^2-40<0 \nk^2<40 \nk<√(40) \ \land \ k>-√(40) \nk<2√(10) \ \land \ k>-2√(10) \n\boxed{k \in (-2√(10),2√(10))}$

When the discriminant Δ is equal to 0, the equation has exactly 1 real solution:
$k^2-40=0 \nk^2=40 \nk=√(40) \ \lor \ k=-√(40) \nk=2√(10) \ \lor \ k=-2√(10) \n\boxed{k \in \{ -2√(10), 2√(10) \} }$

transform the quadratic function y=-2x^2-12x-10 into vertex form. find the vertex, x and y intercepts.

Answers

$The\ vertex\ form\ of\ y=ax^2+bx+c:y=a(x-h)^2+k\n\nwhere\ h=(-b)/(2a)\ and\ k=f(h)=(-(b^2-4ac))/(4a)\n-----------------------------\n\ny=-2x^2-12x-10\n\na=-2;\ b=-12;\ c=-10\n\nh=(-(-12))/(2(-2))=(12)/(-4)=-3\n\nk=f(-3)=-2(-3)^2-12(-3)-10=-2\cdot9+36-10=-18+26=8\n\ntherefore:y=-2(x-(-3))^2+8\to\boxed{y=-2(x+3)^2+8}\leftarrow The\ vertex\ form$

$y-intercept\to f(0)=-2(0^2)-12(0)-10=\boxed{-10}\leftarrow y-intercept$

$x-intercept\ if\ y=0\n\n-2x^2-12x-10=0\ \ \ \ \ |divide\ both\ sides\ by\ (-2)\nx^2+6x+5=0\nx^2+x+5x+5=0\nx(x+1)+5(x+1)=0\n(x+1)(x+5)=0\iff x+1=0\ or\ x+5=0\n\n\boxed{x=-1\ or\ x=-5}\leftarrow x-intercept$

y=-2x^2-12x-10
to find the x value of the vertex find the axis of symmetry which is
-b/2a
=12/2(-2)
=-3
to find the y value of the vertex sub the axis of symmetry back into the original equation.
y=-2(-3)^2-12(-3)-10
y=8
vertex=(-3,8)
to put it into vertex form use y=a(x-h)^2 +k where h and k are the x and y values of the vertex respectively.

y=-2(x--3)^2 +8
y=-2(x+3)^2+8

to find the x intercept let y=0

-2x^2-12x-10=0
x^2+6x+5=0
use quad formula and you will get
x=-5 and -1

to find the y intercept let x=0

y= -2(0)^2-12(0)-10
y=-10

An airplane ticket is 17 centimeters long and 9 centimeters tall. what is its perimeter?

Answers

Answer:

Perimeter = 52 centimeters.

Step-by-step explanation:

Perimeter = 2(long + tall)

In this case:

Perimeter = 2(17+9)

Perimeter = 2(26)

Perimeter = 52 centimeters

...

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A polynomial function has a root of -5 with multiplicity 3, a root of 1 with multiplicity of 2, and a root of 3 with multiplicity 7. If the function has a negative leading coefficient and is of even degree which statement about the graph is true?a) function is positive on (-∞,-5)b) fuction is negative on (-5,3)c) function is positive on (-∞,1)d) function is negative on (3,∞)