9514 1404 393
Answer:
-5 or 7
Step-by-step explanation:
Let x represent the number. The problem statement tells us ...
x^2 -35 = 2x
x^2 -2x -35 = 0 . . . . subtract 2x to put in standard form
(x -7)(x +5) = 0 . . . . . factor
x = 7 or x = -5 . . . . solutions are values of x that make the factors zero
The number could be either -5 or +7.
Luis wants to buy Jordans for 75.23. He saves 10.27 per month. Write an equation to solve how many months he'll need to save. Use x for the variable and do not have any spaces.
Answer:
75.23=10.27x
Step-by-step explanation:
Around 7 months
Ramon earns $1,785 each month and pays $53.80 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Answer:
3.0%
Step-by-step explanation:
[tex](\frac{53.80}{1785}) * 100 = 3.01[/tex]
If p varies jointly as q and the cube of r, when
p=270 when q=6 and r=3, find the constant of
variation. Write your answer as a fraction.
y=kxz
The value of constant of variation is, 5.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
⇒ p varies jointly as q and the cube of r.
Since, p varies jointly as q and the cube of r.
Hence, We can formulate;
⇒ p = k × q × r²
Where, k is constant of variation.
Here, p = 270 when q = 6 and r = 3.
Substitute all the values, we get;
⇒ p = k × q × r²
⇒ 270 = k × 6 × 3²
⇒ 270 = 54k
⇒ k = 270 / 54
⇒ k = 5
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If the trip is 865 miles about how many miles will David drive
Answer:
865
Step-by-step explanation:
the trip is 865 miles so that is how many miles he will drive
How would I write f(x) = -4(x-2)+ 7 in standard form
Answer:
The standard form of the given equation is f(x) = 0x²-4x+15=0
Step-by-step explanation:
The standard form is ax²+bx+c=0
Given f(x) = -4(x-2)+ 7
we can write the standard form
= 0x² -4(x-2)+7 =0
⇒ 0x² -4x +8 +7 =0
⇒ 0x² -4x + 15 =0
now comparing the standard form ax²+bx+c=0
a = 0 , b= -4 and c =15
Can someone help me with number 7
Answer:
1. zach is 20'
2. zack is 13
Step-by-step explanation:
A copy machine produces six pages a print and six seconds how many pages are produced per second
Answer:
if the printer produces 6 pages in 6 seconds it would be 1 page per second.
mathematically: 6 pages/6 seconds= 1 page/second
Suppose a publishing company estimates that its monthly cost is C(x) = 600{x^2} + 300xC(x)=600x 2 +300x and its monthly revenue is R(x) = - 0.4{x^3} + 700{x^2} - 600x + 500R(x)=−0.4x 3 +700x 2 −600x+500, where x is in thousands of books sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
Answer:
the answer is A,
P(x) = -0.4x³+100x²-900x+500
Step-by-step explanation:
monthly cost:
[tex]c(x) = 600x {}^{2} + 300x[/tex]
monthly revenue:
[tex]r(x) = - 0.4 {}^{3} + 700x {}^{2} - 600x + 500[/tex]
profit function:
[tex]p(x) = r(x) - c(x)[/tex]
[tex]p(x) = ( - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500) - (600x {}^{2} + 300x)[/tex]
i) remove the first bracket
[tex]p(x) = - 0.4x {}^{3} + 700x {}^{2} - 600x + 500 - (600 {x}^{2} + 300x)[/tex]
ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket
[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500 - 600x {}^{2} - 300x[/tex]
iii) collect like terms
[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600 {x}^{2} - 600x - 300x + 500[/tex]
iv) simply the like terms
[tex]p(x) = - 0. 4{x}^{3} + 100 {x}^{2} - 900x + 500 [/tex]
what is the answer to (x+3)^5
(x + 3)⁵
= x⁵ + 3⁵
= x⁵ + 243
6a) Choose yes or no to tell whether the GCF of 9 and 15 is 3.
Yes
Or
No
Point Q lies on the circle and has an X-coordinate of 4. Which value could be the y-coordinate for point Q?
We are not given the radius of the circle or any other relevant data, so I assumed the radius of the circle r=5
Answer:
The y-coordinate of Q is 3
Step-by-step explanation:
Circles and Lines
The figure below shows a circle of radius r=5 and a segment that goes from the center of the circle to a point of the circumference, where x=4.
We can find the y-coordinate of that point by using Pithagora's theorem:
[tex]r^2=x^2+y^2[/tex]
Solving for y:
[tex]y^2=r^2-x^2[/tex]
[tex]y^2=5^2-4^2[/tex]
[tex]y^2=25-16=9[/tex]
[tex]y=\sqrt{9}=3[/tex]
The y-coordinate of Q is 3
What is an algebraic expression?
A. the operation between two number or letters
B. letters that represent numbers
C. a branch of mathematics
D. a combination of operations on letters and numbers
Answer:
d. a combination of operations on letters and numbers
Step-by-step explanation:
b is a variable and c can be all sort of things
Answer:
D. a combination of operations on letters and numbers.
Step-by-step explanation:
simplifyyyyyyyyyyyyyyyyyy
Answer:
Step-by-step explanation:
x^2 - 11x + 30 = (x - 6)(x - 5)
x^2 - 4 = (x + 2)(x - 2)
x^2 + 3x - 40 = (x + 8)(x - 5)
x - 2 = x - 2
Invert and multiply the right fraction.
(x - 6)(x - 5) (x - 2)
=========== x =======
(x - 2)(x + 2) (x + 8)(x - 5)
x - 5 on the top cancels with x - 5 on the bottom
x - 2 on the top cancels with x - 2 on the bottom left
So what's left?
(x - 6)
===============
(x + 2)(x + 8)
This is likely the answer.
Answer:
[tex]\frac{x-6}{x^{2} +10x+16}[/tex]
Step-by-step explanation:
to much to explain
5x+10y=5 -13x+4y=17 NEED HELP
WILL MARK THE RIGH ANSWER BRAINLIEST
Answer:
I think x = 1 and y = 1/2. For the second: x = -1 4/13 or -1.307692, y = 4 1/4 or 4.25
Step-by-step explanation:
[tex]\frac{r}{6} = 8[/tex]
what is r?
r = 48
My explanation~r/6 = 8 // - 8
r/6-8 = 0
1/6*r-8 = 0 // + 8
1/6*r = 8 // : 1/6
r = 8/1/6
r = 48
And to check~
48/6
48 ÷ 6
=
8
:PP hope i helped!!have a good day :3solve the system of linear equations. 3x+4y= -18 ; y= -4x -11
Answer:
(-2,-3)
Step-by-step explanation:
Which of the following exponential functions goes through the points (1, 12) and (236)
Answer:237 . 12
Step-by-step explanation:
pleas give me a BRAINLY pleas
Answer:
y = 4[tex](3)^{x}[/tex]
Step-by-step explanation:
For an exponential function in the form
y = a [tex]b^{x}[/tex]
Use the given points to find the values of a and b
Using (1, 12), then
12 = ab → (1)
Using (2, 36), then
36 = ab² → (2)
Divide (2) by (1)
[tex]\frac{36}{12}[/tex] = [tex]\frac{ab^2}{ab}[/tex] , then
3 = b
Substitute b = 3 into (1) for value of a
12 = 3a ( divide both sides by 3 )
4 = a
Thus
y = 4[tex](3)^{x}[/tex] ← is the exponential function
Can someone help me with this question
Enter the rate of change of the table below
This is the table
X. Y
1 73
2 96
3 119
4 142
What is the rate of change
which of the following is a quadratic function?
Answer:
A
Step-by-step explanation:
Y = ax2 +bx + c
Use a table of values to graph the function [tex]f(x) = -2\sqrt[3]{x}[/tex]. Select the correct graph below
Answer:
the correct graph is B
Step-by-step explanation:
to check, you can see that my graph and graph in answer B both intersects at (-1,2)
Find x and y
Classify the middle triangle by its sides
f(x) = 2x3 + 6x2 – 5x – 3
g(x) = 3x – 4
Find (f - g)(x).
O A. (f - g)(x) = 2x3 + 6x2 – 2x – 7
O B. (f - g)(x) = 2x3 + 6x2 – 2x + 1
O c. (f - g)(x) = 2x3 + 6x2 – 8x – 7
O D. (f - g)(x) = 2x3 + 6x2 – 8x + 1
Answer:
D) is the answer
Step-by-step explanation:
It is taught in 5th class in India
Mark as Brainliest.
Because I am Indian and solving your question from India.
The correct answer is option D which is (f - g)(x) = 2x³ + 6x² – 8x + 1.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given that:-
f(x) = 2x³ + 6x² – 5x – 3
g(x) = 3x – 4
The function (f-g)x will be calculated as follows:-
(f - g)(x) = f(x) - g(x)
(f - g)(x) = ( 2x³ + 6x² – 5x – 3 ) - ( 3x – 4 )
(f - g)(x) = 2x³ + 6x² – 5x – 3 - 3x + 4
(f - g)(x) = 2x³ + 6x² – 8x + 1
Therefore the correct answer is option D which is (f - g)(x) = 2x³ + 6x² – 8x + 1.
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1. Assume that men’s weights are normally distributed with a mean given by = 172lb and a standard deviation given by =29lb. Using the Central Limit Theorem to solve the following exercises(1) If 36 men are randomly selected, find the probability that they have a mean weight greater than 160lb.(2) If 81 men randomly selected, find the probability that they have a mean weight between 170lb and 175lb.
Answer:
1) 0.99348
2) 0.55668
Step-by-step explanation:
Assume that men’s weights are normally distributed with a mean given by = 172lb and a standard deviation given by =29lb. Using the Central Limit Theorem to solve the following exercises
When given a random number of samples, we use the z score formula:
z-score is z = (x-μ)/σ/√n where
x is the raw score
μ is the population mean
σ is the population standard deviation.
(1) If 36 men are randomly selected, find the probability that they have a mean weight greater than 160lb.
For x > 160 lb
z = 160 - 172/29/√36
z = 160 - 172/29/6
z = -2.48276
Probability value from Z-Table:
P(x<160) = 0.0065185
P(x>160) = 1 - P(x<160) = 0.99348
(2) If 81 men randomly selected, find the probability that they have a mean weight between 170lb and 175lb.
For x = 170 lb
z = 170 - 172/29/√81
z = 170 - 172/29/9
z = -0.62069
Probability value from Z-Table:
P(x = 170) = 0.2674
For x = 175 lb
z = 175 - 172/29/√36
z = 175- 172/29/6
z = 0.93103
Probability value from Z-Table:
P(x = 175) = 0.82408
The probability that they have a mean weight between 170lb and 175lb is calculated as:
P(x = 175) - P(x = 170)
0.82408 - 0.2674
= 0.55668
Water freezes at 32° Fahrenheit, which is 0° Celsius. Water boils at 212 Fahrenheit, which is 100 Celsius. Which temperature would be the best estimate for water at room temperature in Celsius
Answer:
20
Step-by-step explanation:
I don't really know how to explain this beyond either memorizing this or remembering that Fahrenheit is around 70 degrees and estimating it.
Find the product:
1.7
x 0.5
Answer:
0.85
Step-by-step explanation:
Find the value of x → x² = (Q - A)(Q - B)(Q - C) ….. (Q - Z)
Answer:
[tex]\boxed{0}[/tex]
Step-by-step explanation:
x² = (Q - A)(Q - B)(Q - C) ... (Q - Z)
x² = (Q - A)(Q - B)(Q - C) ... (Q - P)(Q - Q)(Q - R) ... (Q - Z)
x² = (Q - A)(Q - B)(Q - C) ... (Q - P)(0)(Q - R) ... (Q - Z)
x² = 0
x = 0
Answer:
t8y8 uv7g7 ug8 ugy ug h 7 v jvu utyc7 . hit u ut taj h
Step-by-step explanation:
fucjvjvi j jvu jvivu igigi ivigi iigihi ivigi igih
Please help me answer this :)
I will give braisnlt
Answer:
y = -1/2x + 4
Step-by-step explanation:
I got -1/2x because for every 2 spaces, the line goes down 1 (rise/run)
I got +4 because 4 is where x = 0, or the y intercept
WILL MAKE BRAINLIST
The booster club needs to raise at least $5000 for new football uniforms. So far they have raised 1,280 enter an inequality to find the a average amounts each of the 97 members can raise to meet the club's objectives
Answer:
Step-by-step explanation:
5000[tex]\geq[/tex]1280+97x
Question 13 (3 points)
Intel's microprocessors have a 1.2% chance of malfunctioning. Determine the
probability that a random selected microprocessor from Intel will not malfunction.
Write the answer as a decimal.
Answer:
sorry
Step-by-step explanation:
What is probability? Put simply, it is the chance of an event occurring. Probability is often expressed in quantifiable terms as either a percentage or a decimal: for example, the chance of a coin landing as heads is 50% . It is impossible to be certain you can correctly predict whether the coin will land heads or tails, which makes the act of flipping the coin a random event. We can however, calculate the probability of the coin landing heads or tails.
The probability that a random selected microprocessor from Intel will not malfunction 98.8% or 0.988
Given that Intel's microprocessors have a 1.2 % chance of malfunctioning
The chance or probability of happening ant event A is given by equation (1)
[tex]\rm Probability\; of \; happening \; of \; event \; A = P(A).........(1) \\The \; Probability \; of \; same \; event \; not \; happening = P(\bar A) = 100 - P(A) ........(2) \\Where \; P(A) \; is\; expressed \; in \%[/tex]
Let one Intel microprocessor be selected at random then from equations (1) and (2) we can write that
P( Malfunctioning of Intel's microprocessor) + P( Non malfunctioning of Intel's microprocessor) = 100 %
According to the given situation From equations (1) and (2) we can write that
[tex]\rm 1.2\% + P( Non\; malfunctioning\; of \; Intel's\; microprocessor) = 100\% \\ \\ P( Non \; malfunctioning\; of \; Intel's\; microprocessor) = 100\% - 1.2 \% \\P( Non \; malfunctioning\; of \; Intel's\; microprocessor) = 98.8\% = 0..988[/tex]
So we can conclude that the probability that a random selected microprocessor from Intel will not malfunction 98.8% or 0.988
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