Step-by-step explanation:
Let's rewrite the original equation as
[tex]y - 2 = 2x + 6 \Rightarrow y = 2x + 8[/tex]
or in standard form, our equation becomes
[tex]2x - y = -8[/tex]
where A = 2, B = -1 and C = -8
Noah’s remote control car moved 12 feet in 6 seconds. Which graph has a slope that best represents Noah’s car’s average rate of speed?
We want to find a graph that represents Noah's average speed.
We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:
s = 12ft/6s = 2ft/s
Then we can define a linear equation:
y = (2ft/s)*x
As the distance that Noah travels in x seconds.
The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.
If you want to learn more, you can read:
https://brainly.com/question/11897796
If measure angle 4 is equal to 35 degrees, find the measure angle 2 and measure angle 3.
Answer:
< 2 = 35 degrees and
<3 = 55 degrees
Step-by-step explanation:
<3 = 90-35
= 55 degrees
<1 = 90 degrees
<2 = 180 - 90 - 55
= 35 degrees
C increased by 8 can I get help
Answer:
the answer based on the information provided is c + 8
Step-by-step explanation:
8 added to C is c + 8, since they are unlike terms
1/2 : 10 = 2 12 : x
What is the value of x
Joseph takes his little brother to the local frozen yogurt shop. he doesn't want his brother to spoil his dinner, so he can get no more than three ounces bought. the function consists only of the ordered pairs (0, 0.35), (1,1.35), (2,2.35) and (3,3.35) what is the domain and range of the function?
Answer:
Domain: (0,1,23)
Range: (0.35,1.35,2.35)
Step-by-step explanation: The domain is the set of all the first components of the ordered pairs, and the range is the set of all the second components of the ordered pairs.
OMG I NEED HELP WITH THIS ANSWER RN
The temperature in Little Rock, Arkansas, is 66°F, and the temperature in Lincoln, Nebraska, is 82°F. Which of the following is true?
A.
Little Rock's temperature > Lincoln's temperature
B.
Little Rock's temperature = Lincoln's temperature
C.
Little Rock's temperature < Lincoln's temperature
Answer:
C) Little Rock’s temperature < Lincoln’s temperature
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
The answer would be C.
Little Rock's temperature is less than Lincoln's temperature.
66 < 82
Please help I’ll give brainliest
Answer:
ITS D GOOD LUCK WITH YOUR HMK
This graph represents 2x+y=−4.
Which ordered pair is in the solution set of 2x+y≤−4?
Question 6 options:
(2, −2)
(−2, −2)
(2, 2)
(−2, 2)
Answer:
(-2, -2)
Step-by-step explanation:
a positive real number is 4 less than anther of the sum of the squares of the two numbers is 72 then find the numbers.
Answer:
3.657 and 7.657 to the nearest thousandth.
Step-by-step explanation:
x - y = 4
x^2 + y^2 = 72
From equation 1
x = y + 4 so
(y + 4)^2 + y^2 = 72
y^2 + 8y + 16 + y^2 - 72 = 0
2y^2 + 8y - 56 = 0
y^2 + 4y - 28 = 0
y = 3.657.
so x = 7.657.
Once the high temperature was 30°F. Then at night the temperature dropped by 23 degrees. does the expression 30 + (-23) mean the temperature at night? explain.
Answer:
7°
Step-by-step explanation:
simple arithmetic duh
I need help with this math problem
Answer:
F(x)=(x+6)^2
Step-by-step explanation:
Hope this helps!
solve the system x+2y-5z=10, y+2z=2, z=-1
Answer:
x=-3,y =4 z=-1
Step-by-step explanation:
x+2y-5z=10
y+2z=2
z=-1
Since z = -1, substitute into the second equation
y + 2(-1)=2
y -2 =2
y = 2+2
y=4
We can substitute into the first equation
x+2(4) -5(-1) =10
x+8+5=10
x+13 = 10
x = 10-13
x=-3
Given that [tex]I_0 = 10^-12[/tex] watts/[tex]meters^2[/tex], what is the intensity of a sound for which the decibel level of the sound measures 156? Round off your answer to three decimal places.
The intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²
Decibel level, dB = 10log₁₀(I/I₀) where dB = decibel level = 156, I = intensity at 156 dB and I₀ = 10⁻¹² W/m².
Since we require I, making I subject of the formula, we have
dB/10 = log₁₀(I/I₀)
[tex]\frac{I}{I_{0} } = 10^{\frac{dB}{10} } \\I = I_{0} 10^{\frac{dB}{10} }[/tex]
Substituting the values of the variables into the equation, we have
[tex]I = I_{0} 10^{\frac{dB}{10} }\\I = 10^{-12} 10^{\frac{156}{10} }\\I = 10^{-12} 10^{15.6}\\I = 10^{15.6-12} \\I = 10^{3.6} W/m^{2}[/tex]
I = 3981.072W/m²
I = 3.981 × 10³ W/m²
So, the intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²
Learn more about intensity of sound here:
https://brainly.com/question/4431819
solve pls branliest !
Answer:
72
Step-by-step explanation:
8×3²
=8×9
=72
so it is the answer
A line that includes the point (3, 2) has a slope of 0. What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=0x+2
Step-by-step explanation:
equation of the parabola in vertex form that passes through (4,-7) and has a vertex of (1,-6)
[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]
Step-by-step explanation:
The vertex form of the equation for a parabola is given by
[tex]y = a(x - h)^2 + k[/tex]
where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as
[tex]y = a(x - 1)^2 - 6[/tex]
Also, since the parabola passes through (4, -7), we can use this to find the value for a:
[tex]-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6[/tex]
or
[tex]a = -\frac{1}{9}[/tex]
Therefore, the equation of the parabola is
[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]
find the value of x 4x + 3 = -5x + 21
4x + 3 = -5x + 21
9x + 3 = 21
9x = 18
x = 2
Hope this helps!! :)
Answer:
x=2
Step-by-step explanation:
4x + 3 = -5x + 21
add 5x on both sideswhich will get u to 9x +3 = 21subtract 3 from both sideswhich will get u to 9x = 18divide 9 from both sides and the answer is x = 2A student bought 44 pencils for school. if he sharpened 8 of the pencils before school, what is his ratio of unsharpened pencils to sharpened pencils
Answer:
8:36
Step-by-step explanation:
if you sharpened 8 pencils out of 44 that means 8 pencils are sharpened and the other 36 aren't
Which of the following fractions is equivalent to 4/20? 1/10
3/15
3/19
2/12
Answer:
your answer is 3/15
Step-by-step explanation:
if im wrong pls let me know
HELP SOLVE PLEASEEE
Answer:
d. -6x + 2 = -15
Suppose z varies directly with x and inversely with the square of y . If z=18 when x=6 and y=5 , what is z when x=11 and y=10?
pls help I will put brainliest
26
the number line ticks count by 2
hope this helped :)
p(x) = 3(x + 10x + 5) - 5(x - k)
In the polynomial p(x) defined above, k is a
constant. If p(x) is divisible by x, what is the value
of k?
First, you should simplify the function expression.
3(x2 + 10x + 5) - 5(x-k) = 3x2 + 30x + 15 - 5x + 5k = 3x2 +15x +15 +5k
In order for the polynomial to be divisible by x, all terms need to divide by x with no remainder. The first two terms clearly divide by x. However, the last two do not. In order for this to work out where k is constant, 5k would have to cancel out the +15 term, leaving nothing to divide by x.
So: 15 + 5k = 0
5k = -15
k = -3
What is the length of ef in the right triangle below?
Answer:
24
Step-by-step explanation:
You're given a side and a hypotenuse in a right triangle, so you're able to use the Pythagorean Theorem.
[tex]a^{2} + b^{2} = c^{2}\\\\a^{2} + (7)^{2} = (25)^{2}\\[/tex]
Now isolate a on one side and solve for a.
[tex]\\a^{2} = (25)^{2} - (7)^{2}\\\\a = \sqrt{(25)^{2} - (7)^{2}} \\\\a = 24[/tex]
Estimate a 15% tip on a dinner bill of $39.42 by first rounding the bill amount to the nearest ten dollars.
50×54+35-44
Simplification
no spam
steps must
Answer:
=2691
Step-by-step explanation:
=2700+35−44
=2735−44
=2691
Write and simplify an expression for the difference between the perimeters of the rectangle and the hexagon
Answer:
hey man i need a screenshot or something
Step-by-step explanation:
You deposit $200 in a savings
account that pays a simple
interest rate of 3.25% per year.
How much interest will you earn
after 5 years?
Answer:
$32.50
Step-by-step explanation:
The equation for simple interest is
Simple Interest=P×r×n
where:
P=Principal amount
r=Annual interest rate
n=Term of loan, in years
so
P=200
r=0.0325
n=5
so 200*0.0325*5=32.5
what is the distance between the two numbers on a number line
−7,−3 2/3
Answer:
5/21
Step-by-step explanation:
Take -3/7 and -2/3 subtract them. (-3/7) - (-2/3) find a common denominator and alter fractions based on it. -9/21 + (14/21)
17 in 24 in. 12 in) what is the area of the parallelogram??
Answer:
53 in.
Step-by-step explanation:
17 + 24 + 12=53
don't forget the in.