Answer:
y= -2x -2
Step-by-step explanation:
slope-intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
Given that the slope is -2, m= -2.
Susbt. m= -2 into the equation:
y= -2x +c
To find the value of c, substitute a pair of coordinates.
When x= -4, y= 6,
6= -2(-4) +c
6= 8 +c (expand)
c= 6 -8 (-8 on both sides)
c= -2 (simplify)
Thus, the equation of the line is y= -2x -2.
Evaluate the expression when g=3 and h=39.
h-5g
Answer:
29
Step-by-step explanation:
g=3 h=39
h-5g
Substitute the values in for the variables :
39-5(3)
Order of operations: multiply first
39-15
=24
Hope this helps :)
Let sin(45°)=0.7071.Enter the angle measure (μ), in degrees for cos(μ)=−0.7071.
any value equivalent to 360n +
, wheren is an integer
Given :
Let sin(45°)=0.7071.
To Find :
The angle measure (μ), in degrees for cos(μ)=−0.7071 and value equivalent to 360n + , where n is an integer .
Solution :
We know , value of sin x and cos x is same at x = 45° .
Now , cos (-x) = cos(90°+x)
Therefore , μ in given question is :
μ =90°+45°
μ=135°
So , for angle of type 360°n + :
μ = 360°n + 135° .
Hence , this is the required solution .
what is the answer?
1/3x + 4 = x - 2
Answer:
The answer is x = 9
Step-by-step explanation:
(1/3)*x+4 = x-2 // - x-2
(1/3)*x-x+2+4 = 0
6-2/3*x = 0 // - 6
-2/3*x = -6 // : -2/3
x = -6/(-2/3)
x = 9
How do I simplify -11+5+6(-6+13)^2
Answer:
288
Step-by-step explanation:
To simplify use the mnemonic device PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction)
First simply -6 and 13 (since they are in the parenthesis)
-11+5+6(7)^2
Now find out what 7^2 is
-11 + 5 + 6(49)
Next multiply 6 and 49 (294)
Lastly add 5 then subtract 11 from it
299-11
288
Answer:
Hello! :) I hope I am correct!
Step-by-step explanation:
(The answer should be 288)
Below is the steps!!
Steps:
⇒-6+6(-6+13)^2
⇒-6+6(7^2)
⇒-6+(6)(49)
The answer would be 288 if you solve this equation.
The last step:
⇒-6+294
Which equals 288
Therefore your answer would be 288.
Hope this helps!
By:BrainlyAnime! ^-^
(Just in case you didn’t understand, I attached a picture!)
A runner completed a 26.2 mile marathon in 5 hours. a) What is her speed in miles per hour? b) What is her speed in feet per second? Note that there are 5280 feet in 1 mile.
Step-by-step explanation:
in this problem, we are expected to convert from miles per hour to feet per second
a). What is her speed in miles per hour?
we know that speed= distance/ time
given that
distance= 26.2 mile
time= 5 hours
substitute and solve for speed we have
speed= 26.2/5
speed= 5.24 miles per hour
b) What is her speed in feet per second?
1 mile per hour is 1.46667 feet per second
5.24 miles per hours will give x
cross multiply to solve for x we have
x= 5.24*1.46667
x= 7.68 feet per seconds
solve this please
[tex]5x - 2(4x + 11) = 14[/tex]
Answer:
Step-by-step explanation:
5x - 8x - 22 = 14
-3x - 22 = 14
-3x = 36
x = -12
Answer:
x = -12
Step-by-step explanation:
5x - 2(4x+11) = 14
5x - 2*4x -2*11 = 14
5x - 8x - 22 = 14
-3x = 14 + 22
-3x = 36
x = 36/-3
x = -12
Check:
5*-12 -2(4*-12 + 11) = 14
-60 -2(-48+11) = 14
-60 -2(-37) = 14
-60 + 74 = 14
Mr. Smith set aside 5/6 of an hour for homework after school each day. How many hours of homework does he do in 5 days?
4 1/6 hours
3 1/2 hours
4 1/2 hours
50 minutes
Evaluate each expression. 12k − h 2; use h = 2, and k = 3
I need help finding the Function notation
Answer:
1.5, -8, 0, 2f, 2/3
Step-by-step explanation:
j(x) = 2x means the function name is j, and it is a function of the variable x. To evaluate the function, you put the given value everywhere you see x, and do the arithmetic.
j(0.75) = 2(0.75) = 1.5
j(-4) = 2(-4) = -8
j(0) = 2(0) = 0
j(f) = 2f
j(1/3) = 2(1/3) = 2/3
Which number line have a point that is equal to point p? Check all that apply
A and C is the answer
Answer: A and C
Step-by-step explanation:
A bag of marbles contains 3 red marbles, 7 blue marbles, and 5 orange marbles. If a marble is drawn from the bag and not replaced, then a second marble is drawn. Calculate P(red then orange):
Answer:
[tex]\dfrac{1}{14}[/tex].
Step-by-step explanation:
It is given that,
Red marbles = 3
Blue marbles = 7
Orange marbles = 5
Total marbles = 3+7+5 = 15
Probability of getting a red marble is
[tex]P(Red)=\dfrac{\text{Red marbles}}{\text{Total marbles}}[/tex]
[tex]P(Red)=\dfrac{3}{15}[/tex]
[tex]P(Red)=\dfrac{1}{5}[/tex]
If a marble is drawn from the bag and not replaced. So remaining marbles is 15-1=14. Now,
Probability of getting an orange marble is
[tex]P(orange )=\dfrac{\text{Orange marbles}}{\text{Total remaining marbles}}[/tex]
[tex]P(orange)=\dfrac{5}{14}[/tex]
Now,
[tex]P(\text{red then orange})=P(Red)\times P(orange)[/tex]
[tex]P(\text{red then orange})=\dfrac{1}{5}\times \dfrac{5}{14}[/tex]
[tex]P(\text{red then orange})=\dfrac{1}{14}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{14}[/tex].
Write x < -3 in set-builder notation
Answer:
{x is a set of Z, x<-3}
Step-by-step explanation:
Z-integer
If 26 out of 100 high school students plays high school sports, what fraction
and what percentage of high school students do not play sports?
Check all that apply
Answer:
26%, 26/100
Step-by-step explanation
The total students will your denominator, and the number "out of" the total will be your numerator, so the fraction is 26/100. Next, convert the fraction into a decimal by dividing 26 by 100, making it 0.26. To convert a decimal into a percent, move the decimal two places to the right, ie, 0.26 becomes 26%.
Answer:
74/100 and 74%
Step-by-step explanation:
the difference of a number x and 5
Answer:
x-5
Step-by-step explanation:
"difference" means subtraction. since there isn't a specific number given then we can use x. "and" indicates where the symbols goes.
Susie and Peggy arrive at the fair with $32.50. The entrance fee per person is $7.50 and each ride costs $2.50 per person. What is the total number of rides they can go on if they each pay the entrance fee? Write and solve an equation for this situation
32.50 - (7.50*2) = 17.50
17.50 / 2.50 = 7
Can someone please help me I need help
Answer:
C and B.
Step-by-step explanation:
f(x) = 4 - x^2.
The degree of f(x) is 2, which means it is a quadratic graph. The coefficient of x^2 is negative, which means the curve is pointing downwards. The only curve that satisfies this is Graph C.
f(x) = 2^x + 5.
Notice that 2^x is positive for all real values of x. Therefore the answer is Graph B.
Evaluate the following function over the domain {0,1,2,3}. What is the range? g (x) = -2x^{2} + 2
Answer:
the range= {-16, -6, 0, 2}
Step-by-step explanation:
domain={0,1,2,3}
g(x)= -2x^{2} + 2
g(0)= -2(0)^{2} + 2 =2
g(1)= -2(1)^{2} + 2 =0
g(2)= -2(2)^{2} + 2= -6
g(3)= -2(3)^{2}+ 2= -16
the range = {-16, -6, 0, 2}
Last month, Jim ate 4 strawberries. Finn ate 1/8 as many strawberries as Jim did. How many strawberries did Finn eat?
Answer:
He ate 0.5 strawberry
Step-by-step explanation:
4÷8 or 4×(1/8) =0.5 strawberry
Edit 1: Typo
Answer:
1/2 or half a strawberry
Step-by-step explanation:
1/8*4
Frank has a sample of steel that weighs 80 grams. If the density of his sample of steel is 8 g/cm3, what is the sample’s volume?
Answer:
volume of the sample is 10 cm³
Step-by-step explanation:
volume = 80 g / 8 g/cm³
volume = 10 cm³
I hope this helps you :)
-KeairaDickson
- 3c = - 5 — 4с
I want to know the answer
Answer:
c=-5
Step-by-step explanation:
An adults heart beats about 2100 times every 30 minutes.A baby beats about 2600 times every 20 minutes. How many more heart beat i 60 minutes than an adults hearts?
Given :
An adults heart beats about 2100 times every 30 minutes.
A baby beats about 2600 times every 20 minutes.
To Find :
How many more heart beat baby have than adult in 60 min .
Solution :
Now , total number of heart beats of adult in 60 min , [tex]T_a=2100\times 2=4200[/tex]
Also , total number of heart beats of adult in 60 min , [tex]T_b=2600\times 3=7800[/tex]
Difference between them , [tex]7800-4200=3600[/tex] beats .
So , baby have 3600 more heart beats than adult .
Hence , this the required solution .
Question /
Alice is three more than twice Emma's age. The sum of their ages is 48. How old is Alice?
Answer:
Alice is 33 years old.
Step-by-step explanation:
Alice is 3 more than twice Emma's age:
E = Emma
A = Alice
A = 3 + 2E
Sum = 48 years
So,
A + E = 48
(3+ 2E) + E = 48
3 + 2E + E = 48
3 + 3E = 48 (-3 both sides)
3E = 45
E = 45/3
E = 15
Emma is 15 years old.
A = 3 + 2E
A = 3 + 2(15)
A = 3 + 30
A = 33
Alice is 33 years old.
JUST ANSWER ME PLEASE
Do the ratios 20/10 and 1/2 form a proportion?
Answer:
no
Step-by-step explanation:
they do not form a proportion because they are not equivalent to each other.
what is 18 less than the quotient of a number and 3 as an expression
Answer:
n/3 - 18
Step-by-step explanation:
"quotient of a number and 3" is n/3, and so
"18 less than the quotient of a number and 3" as an expression is:
n/3 - 18
If a car travels 600 meter in 20 seconds how fast is it going
Answer:
30 meters per second
Step-by-step explanation:
Step 1:
600 ÷ 20 = 30
Answer:
30 meters per second
Hope This Helps :)
Answer:
30 m /s
Step-by-step explanation:
We are looking for the speed
d/t = speed
600m / 20 second
30 m /s
Write the improper fraction 33/10 as a mixed number
the answer is 3 3/10
hope this helps
A factory uses 1/3 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 2/3 of a barrel of raisins. How many batches of granola bars did the factory make yesterday?
Answer:
2
Step-by-step explanation:
since it takes 1/3 to make one batch then you have 2/3 it means yesterday they made 2 batches
1. 6(8+7)=6∙8+6∙7 (this is an example of which property?)
A) Associative (addition)
B) Associative (multiplication)
C) Commutative
D) Distributive
Answer:
d: distributive
Step-by-step explanation:
8 ( 8 + 7 ) = 6 x 8 + 6 x 7, it may seem like commutative, except it pulls the parentheses out making it distributive.
Is 8/5
an irrational number?
If a/\2+1/a/\2=11, then a+1/a=?
Answer:
[tex] \pm \sqrt{13} [/tex]
Step-by-step explanation:
[tex] \bigg(a + \frac{1}{a} \bigg)^{2} = {a}^{2} + \frac{1}{ {a}^{2} } + 2 \times a \times \frac{1}{a} \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 11 + 2 \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 13 \\ \\ \bigg(a + \frac{1}{a} \bigg) = \pm \sqrt{13} [/tex]