Answer:
y = m x + b standard form of straight line
y = 2 x + 5
The slope is m and = 2
the y intercept is 5 because when x = o y = 5
if y = 0 then x = -2/5 and would be the x intercept
x is the independent variable and y is the dependent variable
I am not familiar with your definitions for domain and range but
both x and y can vary from -∝ to = ∝
plz answer fast i will mark as brainlist
Answer:
36 is the answer
Step-by-step explanation:
Hope it will help you
Two positive numbers are in the ratio 2 : 3. Find the numbers if (a) their sum is 55 and (b) their product is 384.
say the numbers are "a" and "b", we know that they're in the ratio of 2:3, or namely that
[tex]\stackrel{\textit{in the ratio of 2 to 3}}{a~:~b\qquad \qquad 2:3}\qquad \qquad \implies \qquad \cfrac{a}{b}=\cfrac{2}{3}\implies \cfrac{3a}{2}=b \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{their sum is 55}}{a + b = 55}\implies a + \cfrac{3a}{2}=55\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( a + \cfrac{3a}{2} \right)=2(55)} \\\\\\ 2a+3a=110\implies 5a=110\implies a = \cfrac{110}{2}\implies \boxed{a = 22}[/tex]
[tex]\stackrel{\textit{we know that}}{\cfrac{3a}{2}=b}\implies \cfrac{3(22)}{2}=b\implies \boxed{33=b} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{their product is 384}}{ab=384}\implies a\left( \cfrac{3a}{2} \right)=384\implies \cfrac{3a^2}{2}=384\implies 3a^2=768 \\\\\\ a^2=\cfrac{768}{3}\implies a^2=256\implies a=\sqrt{256}\implies \boxed{a=16} \\\\\\ \stackrel{\textit{we know that}}{\cfrac{3a}{2}=b}\implies \cfrac{3(16)}{2}=b\implies \boxed{24=b}[/tex]
The positive numbers for both the parts are obtained as 22,33 and 16,24 respectively.
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
(a) As per the question, the numbers can be considered as 2x and 3x respectively.
Then, the equation for their sum can be written as follows,
3x + 2x = 55
⇒ 5x = 55
⇒ x = 11
The numbers are obtained as 2 × 11 = 22 and 3 × 11 = 33.
(b) Similarly, the equation for the product of numbers can be written as,
3x × 2x = 384
⇒ 6x² = 384
⇒ x² = 64
⇒ x = 8
The numbers are obtained as 2× 8 = 16 and 3 × 8 = 24.
The required number for both the cases are 22,33 and 16,24 respectively.
To know more about linear equation click on,
https://brainly.com/question/11897796
#SPJ5
Which answer best describes the complex zeros of the polynomial function?
f(x) = 13 - 22 + 6x - 6
The function has two real zeros and one nonreal zero. The graph of the function intersects the x-axis at exactly one
location.
The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly two
locations.
The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one
location.
The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.
Answer:
The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one
location.
Plz help me i will give u 50pts^_^ and brainliest<3
Answer:
y/x^2=-2x+3
Step-by-step explanation:
Find the whole number equal to the fraction below. Enter your answer in the
space provided
Answer:
7
Step-by-step explanation:
42/6= 7
---
its a sort of memorization thing youll know when you do enough of them.
if not, you can divide by smaller parts.
3*2=6 so you can divide 42 by 2, and then 3 if that is easier
42/2
=21
then divide by 3 =7
Answer: 7
Step-by-step explanation: If you simplified 42/6 you would get 7 and 42/6 is basically 42 ÷ 6 which equals 7.
Find the least common denominator for these fractions.
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
My answer is 8, but I'm not completely sure, if I'm wrong could someone please explain how to find the length.
By knowing that S is bisected by the line shown, we will conclude that PD = 8
So here we know that PC = 8, we also can see that:
PCS is a right trianglePDS is a right triangle.Notice that because the blue line bisects S, the angle at "S" on both of these right triangles is the same, and because both of these are right triangles, both must have a 90° angle.
Finally, if two angles are equal, then the 3 angles must be equal between these two triangles.
And notice that both of these triangles share one side, then:
Triangles we know for sure that triangles PCS and PDS have the same angles and one equal side.
This implies that the triangles are congruent, thus, the measures of the corresponding sides must be the same.
Then the length of the shorter side of both triangles must be the same, in triangle PCS the short leg measures 8 units, then in triangle PDS the short leg, PD, also must measure 8 units.
So you are correct.
If you want to learn more about congruent triangles, you can read:
https://brainly.com/question/12077512
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 515 randomly selected adults showed that 55% of them would erase all of their personal information online if they could. Find the value of the test statistic.
The value of the test statistic is______
Answer:
257.5 of the 515
Step-by-step explanation:
A projectile is thrown upward so that its distance above the ground after t seconds is h = -156 + 510t. What is its maximum height?
For the parabola:
h(t) = -at2 + bt, the maximum occurs at -b/2a
For h(t) = -16t2 + 576t that is -576/(-2)(-16), or -576/32, or 18.
The projectile is at its highest point at 18 seconds.
Can someone solve this, please?
AND FAST
Answer: 40
Step-by-step explanation: yes make me brainlist (its the crown)
5x squared +1=4x-7 solve the equation using the quadratic formula
Answer:
Step-by-step explanation:
- B ± √ B2-4AC
x = ____________
2A
which will be
4 ± √ -144
x = _______
10
x =(4-√-144)/10=(2-6i)/5= 0.4000-1.2000
The question in the picture
1/27
Explanation:
You would multiply to get to the answer.
The owner of a small store buys coats for 55.00 each
He sells the coats for 66.00 each
he must buy 24 jackets to get atheist 260 dollars
0.081 to the nearest hundredth
Answer:
0.08
Step-by-step explanation:
a 1 in the thousandths place is dropped in standard rounding to the nearest hundredth.
Answer:
0.08
Step-by-step explanation:
In 0.081, 0 is the tenth, 8 is the hundredth, and 1 is the thousandth. So as you want to approximate to the nearest hundredth, you have to look at the number behind 8 which is 1. And, 1 is less than 5, so you don't have to round up.
Help help please …thanksss
Help help help help math
$145.75 marked up by 33% (round to the nearest cent)
Answer:
$189.48
Step-by-step explanation:
$145.75 + 30% × 145.75 = $145.75×1.30 ≈ $189.48
To make cupcakes Leah uses 1/2 cup of chocolate chips for evry 1 1/3 cups of batter if Leah uses 3/4 cups of chocolate chips how many cups of batter should she use
Answer:
2
Step-by-step explanation:
Leah uses 1/4 cup of chocolate chips for 2/3 cups of batter, so if Leah uses 3/4 cup of chocolate chips, she should use 2 cups of batter.
Noah starts with 0 and then adds the number 5 four times. Diego starts with 1 and then multiplies by the number 5 four times. For each expression, decide whether it is equal to Noah’s result, Diego’s result, or neither.
Answer:
Diego's result is the same as Noah's result.
Step-by-step explanation:
Noah: 5+5+5+5=20
Diego: (1x5) + (1x5)+(1x5)+(1x5)= 20
factorise
28q+35
pls help
Answer:
7(4q+5)..................
Kesha went for a drive in her new car. She drove at a speed of 51.2 miles per hour for 2 hours. For how many miles did she drive?
Answer:
102.4
Step-by-step explanation:
51.2 x 2 = 102.4
A car traveled 133 miles in 4 3/4 hours. What was the cars average speed in miles per hour?
4 3/4 = 19/4
133/(19/4) = 133(4/19) = 1197/19 = 63 mph
2 answers each for 8-15
Answer:
luh jusko kalisod ba search mo yan sa goohle
A rectangle has a length of x + 7 and a width of x-2. Which equation below describes the perimeter, P, of
the rectangle in terms of x?
Answer:
P = 4x + 10
Step-by-step explanation:
perimeter of a rectangle = 2( width + length )
P = 2 ( x - 2 + x + 7 )
P = 2 ( x + x + 7 - 2 )
P = 2 ( 2x + 5 )
P = 4x + 10
Sophia was measuring the height of her Christmas tree. The
first part she measured was 36 inches tall. The second part
was 2 feet tall. How tall was her Christmas tree?
Answer:
60 inches or 5 feet
Step-by-step explanation:
36 inches + 2 feet (24 inches) = 60 inches, also 5 feet
Help help help math math help
An investor makes an investment of $1,000,000.00 to buy a small, select service hotel in Daytona Beach. She achieves a
$200,000 profit on that investment. In this example, what was her ROI?
Anyone??
Answer:
In terms of %, it's 20%.
Step-by-step explanation:
Used an ROI calculator:
Express the dollowing fraction in decimal form as a terminating decimal or as a infinite repeating decimal 3/16
Answer:
3/16 as a decimal is equal to 0.1875.
Let's convert the given fraction to a decimal number.
Explanation:
To convert any fraction to decimal form, we just need to divide its numerator by denominator.
Here the fraction is 3/16 which means we need to perform 3 ÷ 16.
So, 3/16 is equal to 0.1875.
Hope that helps you in some way.
It is estimated that world reserves of oil currently stand at 2625
billion units. Oil is currently extracted at an annual rate of 45.5
billion units and this is set to increase by 2.6% a year. After how
many years will oil reserves run out
Answer:
35.4 years
Step-by-step explanation:
The annual consumption (in billions of units) is described by the exponential function ...
f(t) = 45.5·1.026^t
The accumulated consumption is described by the integral ...
[tex]\displaystyle\int_0^t{f(x)}\,dx=45.5\int_0^t{1.026^x}\,dx=45.5\left(\dfrac{1.026^t-1}{\ln{1.026}}\right)[/tex]
We want to find t such that the value of this integral is 2625, the estimated oil reserves.
2625 = 45.5/ln(1.026)·(1.026^t -1)
2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t
Taking natural logs, we have ...
ln(2.480832) = t·ln(1.026)
t ≈ ln(2.480832)/ln(1.026) ≈ 35.398
After about 35.4 years, the oil reserves will run out.
If xy + xb + ya + ab = 32 and x + a = 4 , then x + b =
and i will give BRAINLIEST
Answer:
Step-by-step explanation:
If you're actually looking for y + b rather than x + b
Then
xy + xb + ya + ab = (x + a)(y + b) = 32
4(y + b) = 32
y + b = 8
otherwise we have a situation with only two equations and four unknowns. This cannot be resolved without further information.