Answer:
[tex]f(x)=-0.5x+40[/tex]
Step-by-step explanation:
To solve this problem, we need to find the linear function. We know that the constant rate of change is -0.5° Celsius per minute. Also, after 60 minutes the temperature was 10° Celsius. So, we have a one point and the slope of the linear function, let's use the point-slope formula
[tex]y-y_{1} =m(x-x_{1} )\\y-10=-0.5(x-60)\\y=-0.5x+30+10\\y=-0.5x+40[/tex]
Where the y-intercept is at (0, 40).
Now, we have two points to graph the relation between minutes and Celsius degrees.
Therefore, the room's temperature as a function of time is
[tex]f(x)=-0.5x+40[/tex]
Its graph is attached.
Answer:
Put one of the dots 2 spaces obove 60 and the other dot 3 spaces above 50.
Step-by-step explanation:
Find the distance between A (4. - 1) and B (-3,0)
Answer:
hope this is correct
PLZ HELP AND AWSWER!
Answer:
rectangular pyramid
Step-by-step explanation:
Ive had a question like that and i put that and got it right and because it makes the nost sense because its squares and they are going up if you get it
A coach travels from the station to the beach a distance of 576 km away in 6 hours . The coach is only allowed to travel at a maximum speed of 90km/h. Did the coach break the speed limit
Answer:
Yes he did break the speed limit
Step-by-step explanation:
If he stuck to the speed limit it would have taken him 6 hours to go 540 kilometers
What is the value of X?
Answer:
The answer is 68 degrees.
Step-by-step explanation:
Angles of a triangle add up to 180 degrees. So you have to subtract 75 and 37 from 180. (180 - 75 - 37 = 68)
Answer:
C. 68°
Step-by-step explanation:
The angles in a triangle should all add up to 180°, so...
75°+37°+x°=180°
112°+x°=180°
x°=68°
RS = 6(x - 2) + 6 and RT = 4(2x - 6)
Step-by-step explanation:
rs= 6x-18 +6
= 6x-12
12 = 6x
12/6 =x
x=2
rt= 8x-24
24=8x
24/8=x
3=x
i hope this helps u
A student lives 3 miles from the library . He is riding his bike to the library . The distance he has remaining y is a function of how long he has been riding his bike
Would the answer be 6? or 9?
pls answer. will mark as branliest
Answer:
80°
Step-by-step explanation:
Angle CBD = 100°
Angle ABC = 180° - 100° = 80°
Angles on a straight line add up to 180°.
Angle ABC and angle EFB are corresponding angles, so they are equal.
= 80°
Answer:
A) x = 80 degrees
B) <CBD = <BFH because of corresponding angles theorem. After that, To find the value of x, We subtract 100(The measure of <BFH) from 180 because x and <BFH were lying on a straight line.
Help me please!!! URGENT!!
option B
i pretty sure it is
I don’t know how to solve this. Can I have help please?
Answer:
X=twenty four
Step-by-step explanation:
Answer:
if its referring to line rather than angle x should be 12
Step-by-step explanation:
the answer to a is c but i'm really struggling to find its area (as you can probably tell area not my strongest point) hope you can help
Answer:
a)c
Step-by-step explanation:
i dunno about b
The two triangles below are similar.
What is the ratio of the corresponding side lengths?
4:9
4:2
26:26
4.5:2
Answer:
4:2
Step-by-step explanation:
edge2020
write 14 out of 20 as a fraction and percentage please show working.
Answer:
Percent = 70%
fraction = 7/10
Step-by-step explanation:
Percent
14 / 20 = 0.7
0.7 x 100 = 70%
Fraction
14 / 20
7 / 10
(just simplify 14/10 by dividing by 2 on the numerator and demotinator.)
14 out of 20 can be written as the fraction 7/10 and as the percentage 70%.
To write 14 out of 20 as a fraction, we can simply write it as a ratio of 14 to 20.
Fraction: 14/20
However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
Dividing 14 by 2, we get 7, and dividing 20 by 2, we get 10.
So, the simplified fraction is:
7/10
To express this fraction as a percentage, we can convert it by multiplying it by 100.
Percentage: (7/10) x 100 = 70%
Therefore, 14 out of 20 can be written as the fraction 7/10 and as the percentage 70%.
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The table represents a function who’s is f(5)
Answer:
F(5) is the same as x = 5
Step-by-step explanation:
F(5) is just saying that the function of x is equal to 5
solve the equation 12x-14=4x+10
Answer:
x=3
Step-by-step explanation:
12x-14=4x+10
Subtract 4x from each side
12x-4x-14=4x-4x+10
8x - 14 = 10
Add 14 to each side
8x - 14+14 = 10+14
8x = 24
Divide each side by 8
8x/8 = 24/8
x = 3
Answer: x = 3
Explanation: This problem can be done either of two ways.
By putting the variables together on the left and
the numbers together on the right or vice versa.
If we put our variables together on the left and our
numbers together on the right, we would start by
subtracting 4x from both sides to get 8x - 14 = 10.
Next, we add 14 to both sides to get 8x = 24.
Finally, we divide both sides by 3 to get x = 3.
HURRY 10 POINTS!!!!
Answer:
[tex]4\sqrt{7}[/tex]
Step-by-step explanation:
Its a 45, 45, 90 triangle, which means that the hypotenuse is always the equals sides length by [tex]\sqrt{2}[/tex].
[tex](2\sqrt{14} )*\sqrt{2} = 4\sqrt{7}[/tex]
Answer:
[tex]4\sqrt{7}[/tex]
Step-by-step explanation:
The lines on the two sides of the triangle represent congruency (meaning that they both are worth the same value)
Use pythagorean theorem [tex]a^{2} + b^{2} = c^{2}[/tex]. a and b are both the same value
Square root to find c
The answer is then [tex]\sqrt{112}[/tex] now we need to simplify it further into radical form
Find the greatest set of numbers that include one perfect square and the other a normal number. These numbers should multiply to be 112
These numbers are 16 and 7
16 is the perfect square number because when you square root it, it is a clean number... 4!
The perfect square root always goes outside the radical and the other number (which is 7 in this case) always goes inside the radical
Estimate a 15% tip on a dinner bill of $57.86 by first rounding the bill amount to the nearest ten dollars.
Answer:
$70
Step-by-step explanation:
To add a tip, we must multiply the cost of the bill by 1.15. This will give us the total amount including the tip.
57.86 x 1.15 = 66.539
Because this is money, and it wants us to round to the nearest ten dollars, the cost would be $70. (66.539 is closer to 70 than it is to 60)
What I said 4 3/6 - 2 5/6
Answer:
1 2/3
Step-by-step explanation:
The denominators are the same, so we have to borrow from the 4
Borrow 1 in the form 6/6
3 + 6/6+3/6 - 2 5/6
3 9/6 - 2 5/6
1 4/6
Simplify the fraction by dividing the top and bottom by 2
1 2/3
Step-by-step explanation: To subtract mixed numbers, first subtract the fractions.
Notice here however that we have 3/6 - 5/6
which will give us a negative fraction.
Since this will cause us a lot of trouble, instead,
let's rewrite the first mixed number.
We can do this by thinking of 4 and 3/6 as 3 + 1 and 3/6
or 3 + 9/6 by changing 1 and 3/6 to an improper fraction.
So 4 and 3/6 can be written as 3 and 9/6.
So we have 3 and 9/6 - 2 and 5/6.
Now subtract the fractions.
9/6 - 5/6 is 4/6.
So we have 1 and 4/6 or 1 and 2/3.
As an improper fraction, the answer is 5/3.
Together bob and tom take 4 hours to get the yard work done. If bob works alone it takes him 6 hours . How long would it take tom working alone to do all of the yard work
Answer:
6 hours
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
What is true about 5–√?
Answer:
The last one (For Imagine Math)
5–√ is irrational. Its decimal equivalent does not terminate or repeat.
The number √5 is an irrational number
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = √5
Now , the number √5 is expressed as
Since the square root of 5 is irrational, there is no pattern to the decimal expansion and it never ends. It also indicates that it cannot be expressed as a fraction with an integer denominator and numerator.
Consequently, it is impossible to calculate the precise value of the square root of 5
Hence , the number √5 is an irrational number
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Find the product of 85 and 25
Answer: The product of 85 and 25 is 2125 .
85x25 = 2125
Step-by-step explanation:
Hope it works out !please please please help me with this question
which is the correct answer
Answer:
(a) (a² +3a -1)(a² -3a -1)
Step-by-step explanation:
The constant term of the product of the factors will be equal to the product of their constants. Since you want that product to be +1, the signs of the factor constants must be the same. That eliminates choices (c) and (d).
__
To tell which of choices (a) and (b) is correct, we can compute the squared term in their product. Let's do it in a generic way, with the constant (±1) being represented by "c".
We want the a² term in the product ...
(a² +3a +c)(a² -3a +c)
That term will be the result of multiplying both sets of first and last terms, and adding the product of the middle terms:
(a²·c) +(a²·c) -9a² = a²(2c-9)
So, we want the factor (2c-9) to be -11, which means c=-1, not +1.
The correct factorization of the given expression is ...
(a² +3a -1)(a² -3a -1) . . . . matches choice A
2) Evaluate:
a.
70
b. 152
c. 43
What are the solutions of x^2 + 6x -6 = 10
Answer:x=2,-8
Step-by-step explanation:
X^2+6x-6-10=0
x2+6x-16=0
x2-2x+8x-16=0
X(x-2)+8(x-2)=0
(x+8)(x-2)=0
X-2=0 x+8=0
X=2,-8
Can someone help me?
$10 a month fixed plus $0.10 for each message.
Variable:
m - number of text messages per month
Function:
c(m) - cost per month in dollars of Text-Pay Plan for m messages
Answer: c(m) = 0.10 m + 10
The Frequent text plan costs $20 for 0 messages (that's the fixed cost) and has a slope of (30 - 20)/200 = 1/20 = 0.05 dollars per message.
f(m) = 0.05 m + 20
How many text messages per month make these equal?
c(m) = f(m)
0.10 m + 10 = 0.05 m + 20
0.10 m - 0.05 m = 20 - 10
0.05 m = 10
m = 10/0.05 = 200
Check:
c(200) = .1(200)+10 = 20+10 = 30
f(200) = .05(200) + 20 = 10 + 20 = 30, good
Answer: 200 messages
Please answer correctly !!!! Will mark brainliest !!!!!!!!
Answer: (x + 3)(x + 3)
Answer:
(x + 3) ^2
Step-by-step explanation:
Solve 4(x - 3) - 2(x - 1) >0.
{x I x > -5}
{x I x > 5}
{x l x < 5}
{x I x < -5}
Answer:
x >5
Step-by-step explanation:
4(x - 3) - 2(x - 1) >0
Distribute
4x -12 -2x +2 > 0
Combine like terms
2x -10 >0
Add 10 to each side
2x-10+10 > 10
2x>10
Divide each side by 2
2x/2 > 10/2
x >5
The answer is: [C]: " {x | x > 5} " .
__________________________________________
Explanation:
__________________________________________
Given: " 4(x − 3) − 2(x − 1) > 0 " ;
__________________________________________
Note the "distributive property of multiplication" :
__________________________________________
a(b+c) = ab + ac ;
a(b−c) = ab − ac ;
___________________________________________
So, given:
_________________________________________________
→ 4(x − 3) − 2(x − 1) > 0 ;
_________________________________________________
Let us simplify; and rewrite:
_________________________________________________
Start with:
______________________________________________________
→ -2 (x − 1) = (-2*x) − (-2 *1) = -2x − (-2) = -2x + 2 ;
______________________________________________________
Now, continue with:
→ 4(x − 3) = (4*x) − (4*3) = 4x − 12 ;
______________________________________________________
So, given the original problem:
______________________________________________________
→ 4(x − 3) − 2(x − 1) > 0 ;
______________________________________________________
Rewrite;
Replacing: "4(x − 3)" ; with: "4x − 12" ;
and replacing "− 2(x − 1)" ; with: " -2x + 2" ;
______________________________________________________
as follows: → " 4x − 12 − 2x + 2 " > 0 ;
______________________________________________________
On the "left-hand side", combine the "like terms", and simplify ;
______________________________________________________
+4x −2x = +2x ; −12 +2 = -10 ; and rewrite:
______________________________________________________
→ 2x − 10 > 0 ; Add "10" to EACH SIDE of the inequality;
______________________________________________________
→ 2x − 10 + 10 > 0 + 10 ;
______________________________________________________
to get: → 2x > 10 ;
______________________________________________________
→ Now, divide EACH SIDE of the inequality by "2";
to isolate "x" on one side of the inequality; & to "solve"/"simply" for "x" ;
_______________________________________________________
→ 2x / 2 > 10 / 2 ;
_______________________________________________________
→ x > 5 ; which is:
_______________________________________________________
→ Answer choice: [C]: " {x | x > 5} " .
_______________________________________________________
please help! i’m confused
Answer:
Applying the theorem of intersected chords inside a circle:
AR x RB = DR x RC
=> RB = DR x RC/AR = 3 x 5/2 = 7.5
=> Option B is correct
Hope this helps!
:)
Frederick wants to buy a car, but doesn't have enough money. What is it called when he borrows money from the bank?
Answer:
The answer is Personal loans or Installment loans.
can someone please help me solve?
Answer:
(C)
Step-by-step explanation:
p - q/2 = 3
p - q = 6
rp - rq = 12
r (p - q) = 12
r × 6 = 12
r = 12/6
r = 2
Given:
p - q/2 = 3rp - rq = 12To find out:
Find the value of r ?
Solution:
p - q / 2 = 3
⇒ p - q = 3 × 2
⇒ p - q = 6
Now,
rp - rq = 12 [ Given ]
⇒ r ( p - q ) = 12
⇒ r ( 6 ) = 12
⇒ r = 12/6
⇒ r = 2
Hence, the value of r is 2.
How do you solve with the elimination method??
Answer: 2=x
Step-by-step explanation: -x+3 = 2x + 1 , 2 = x