Answer:
The two numbers are: - 36 and 100
Step-by-step explanation:
let the smaller number = x, let the larger number = y
then...
x + y = 64
5x + 2y = 20
use substitution: y = (64 - x)
5x + 2(64 - x) = 20
3x = 20 - 128 = - 108
x = - 36
So the two numbers are: - 36 and 100
Tell me If I'm wrong
For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts?
m greater-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 49 Over 12 EndFraction
m greater-than StartFraction 49 Over 12 EndFraction
Answer: m> 49/12
Step-by-step explanation:
The graph is a parabola . The Parabola with minimum point. So, Substitute the minimum value in the equation. Thus the graph of have two x-intercepts when.
The graph is a parabola with the minimum where x= -b/2a = -7/6.
To have 2 x intercepts, the value at the minimum point must be less than 0, i.e.
3(49/36) - 49/6 + m < 0
49/12 - 49/6 + m < 0
(49-98)/12 + m < 0
-49/12 + m < 0
m < 49/12
The values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
It is given that:
The equation of the graph:
y = 3x² + 7x + m
If the above quadratic function has two x-intercepts that means:
D > 0
b² - 4ac > 0
On comparing:
a = 3
b = 7
c = m
7² - 4(3)(m) > 0
49 - 12m > 0
12m < 49
m < 49/12
Or
m ∈ (-∞, 49/12) for which graph of a function have two x-intercepts
Thus, the values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.
Learn more about quadratic equations here:
brainly.com/question/17177510
#SPJ6
solve the equation
v-9 =14
Answer:
the answer for this euqation is 23
Step-by-step explanation:
Answer:
or,v=14-9 ...v=5,so v=5
Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch's 200 cows. Instead of weighing all of the cows: Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50) Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50) What is Jo's margin of error, rounded to the nearest whole number? (The formula is 1.96 straight x left parenthesis StdDev right parenthesis divided by square root of straight N)
Answer:
The value is [tex]E =19.6 [/tex]
Step-by-step explanation:
From the question we are told that
The mean of Jo cows is [tex]\= x_1 = 1350[/tex]
The standard deviation of Jo cow is [tex]s_1 = 50[/tex]
The mean of Val cows is [tex]\= x_2 = 1420 [/tex]
The standard deviation of Val cows is [tex]s_2 = 50[/tex]
The sample size for both Val and Jo is n = 25
Let assume that the level of significance is [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
Hence margin of error for Jo is
=> [tex]E = 1.96 * \frac{50}{\sqrt{25} }[/tex]
=> [tex]E =19.6 [/tex]
Writing proportional equations from tables
CCSS.Math: 7.RP.A.2
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The following table shows a proportional relationship between j and m?
j
m
4
3
12
9
20
15
Write an equation to describe the relationship between j and m.
Answer:
4+12+20=j
3+9+15=m
j(answer) + m(answer)
Step-by-step explanation:
find the mean of the given data 8,7,5,9,6,13
The mean of the data is 8.
Mean :Given data are,
[tex]8,7,5,9,6,13[/tex]
Mean is computed as divide the sum of all data by total number of data.
Sum of all the data[tex]=8+7+5+9+6+13=48[/tex]
Number of data[tex]=6[/tex]
[tex]Mean=\frac{48}{6}=8[/tex]
Learn more about the mean here:
https://brainly.com/question/19243813
Solve the equation in the interval from 7pi/2 to 13pi/2
All choices are rounded to the nearest hundredth.
Your answer should be in radians.
sin(x) = 0.95
Choose all answers that apply:
Answer:
Step-by-step explanation:13.82, 14.47, 20.10
List the names and measures for pairs of alternate Interior angles. Group them together. Then list the names and measures for pairs of alternate
exterior angles.
Answer:
The two pairs of alternate interior angles are CHG and HGB and DHG and HGA.
mCHG = mHGB = 48.81°
mDHG = mHGA = 131.19°
The two pairs of alternate exterior angles are EHC and BGF and EHD and AGF.
mEHC = mBGF = 131.19°
mEHD = mAGF = 48.81°
Step-by-step explanation:
STRAIHGT FROM PLATO BOOOOIIIIII
Solution to the equation 3x-4y-8=12
Answer:
There is no possible answer. there are 2 variable
Step-by-step explanation:
At the grocery store, Miranda weighs 2 pound of green beans for a recipe she wants to make. How many ounces of green beans did Miranda weigh?
Answer:
32
Step-by-step explanation:
Hope it helps!!
A salt mixture hss 7 parts water and 1 part salt. Suppose another part of salt is added. What is the new ratio of salt to water?
A) 7 to 1
B) 1 to 7
C) 2 to 7
D) 2 to 8
Answer:a
Step-by-step explanation:
Answer:
C) 2 to 7
Step-by-step explanation:
1 part salt:7 parts water
Add 1 part salt
2 part salt: 7 Parts water
Solve: 3(2x + 4) = 5x - 2
Answer:
= -14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(2x+4)=5x−2
(3)(2x)+(3)(4)=5x+−2(Distribute)
6x+12=5x+−2
6x+12=5x−2
Step 2: Subtract 5x from both sides.
6x+12−5x=5x−2−5x
x+12=−2
Step 3: Subtract 12 from both sides.
x+12−12=−2−12
x=−14
what is x ?
what is y ?
Answer:
x = 100º
y = 100º
Step-by-step explanation:
180º = 80º+y
180º-80º = 80º-80º+y
100º = y
x and y are equal so x is also 100º
Identify the slope and y- intercept of the linear equation.
y = -2x + 5
Slope:
y-intercept:
Answer:
Slope= -2
y-intercept= 5
Step-by-step explanation:
Represent the following sentence as an algebraic expression, where "a number" is the letter x. The product of 8 and a number.
Answer:
x times 8 I'm pretty sure
If a chicken has 4kg of corn, how many days will it last it if it eats 1/8 of a kg of corn a day.
I need full working
Answer:
32 days
Step-by-step explanation:
please walk me through this
Answer:
X is 160. because you can add all the value of x. But first substrate 540 with 100 which is 440. then 1/2x + 1/2x+ (x-15) + (x-25) which is further simplified as x + 2x - 40. then it's further simplified as 3x - 40 = 440. then add 40 with 440 which is 480 then divide it by 3 which is 160. therefore X= 160.
What is the solution to the linear equation?
4b + 6 = 2 – b + 4
Answer:
b = 0
Step-by-step explanation:
Subtract 6 from both sides:
4b = 2 - b - 2
Subtract 2 from two, and get 0.
4b = -b
this means that the only possible case where the equation is satisfied is when b = 0, because -0 is 0, and 4x0 is still 0.
how can i get more points on here, and by that i mean where do i go to answer questions?
Answer:
Go to the botom of the page
Step-by-step explanation:
A record store was selling 3 used CD's for $12.51.
Online you
could buy 5 used CD's for $20.70.
Which place has a lower unit price?
Answer:
Answer: Online
Step-by-step explanation:
Find the unit price
(multiply 12.51 and 20.70 by 100 to make it easier to divide)
12.51 divided by 3 = 417
20.70 divided by 5 = 414
Hope this helps!
whats 105 to the power of 20 pls help its big question
Answer:
lol is this possible i tried doing it but couldnt haha i googled it and well it said 2.6532977e+40
Step-by-step explanation:
Answer:
2.65329771×10 to the power of 40
Step-by-step explanation:
Use scientific notation to get the simplest answer
On a certain day, the exchange rate was 60 U.S. dollars for 50 euro. How many U.S. dollars were 80 euro worth that day?
URGENT!
Answer: 90 U.S. dollars
If 60 U.S. dollars represwnt 50 euros, we will add.
80 euros represent 90 dollars because: there are 10 more euros than dollars.
Hope this helps!
Answer: 90
50:60 = 5:6
80:90 = +10
I need help, giving brainliest.
Answer:
1) C
Step-by-step explanation:
I don't think any of the answer choice below no. 2 is correct
no.2) -22/-31
whole numbers are _____ Intergers
Answer:
I believe the answer is positive
Step-by-step explanation:
There's no specific type of integer, but whole numbers are integers but also only positive. So positive integers
Jonathan has a board that is 12 1/2 feet long that he needs cut into 5 equal pieces how long should each piece be
Answer:
2 1/2 per piece
Step-by-step explanation:
Please help me with this question!
What is the solution to
the following equation?
-x - 6(x-5) = 86
Answer:
Step-by-step explanation:
Simplify the terms first also what is the question asking what x is equal to? or just to simplify the terms~ if u answer this i can help more dm me maybe~!
Answer:
x = -8
Step-by-step explanation:
-x -6(x-5) = 86
Distribute
-x -6x +30 = 86
Combine like terms
-7x + 30 =86
Subtract 30 from both sides
-7x = 56
Divide by -7
x = -8
Can someone help me with number 12 ASAP please
Answer:
[tex]x > 1[/tex]
x is greater than 1
multiply the polynomials below. SHOW ALL WORK
(x−7)(2x−5)
Which equation represents a line with a slope
of 2 that passes through the point (1, 5)?
Answer:
y=2x+3
Step-by-step explanation:
Point-Slope Equation: y=m(x-x1)+y1
y=2(x-1)+5
2x-2+5
2x+3 (y=mx+b)
Laura is planning a party for her son. She has $50 dollars remaining in her budget and wants to provide one party favor per person to at least 10 guests. She found some miniature stuffed animals for $6.00 each and some toy trucks for $4.00 each. Which system of inequalities represents this situation, where x is the number of stuffed animals and y is the number of toy trucks?
Answer:
The system of inequalities that represents this situation is:
x+y≥10
6x+4y≤50
Step-by-step explanation:
As the statement says that Laura wants to provide one party favor per person to at least 10 guests, the first inequality would indicate that the number of stuffed animals plus the number of toy trucks should be equal or greater than 10:
x+y≥10
Also, the statement indicates that miniature stuffed animals cost $6.00 each and the toy trucks cost $4.00 each and that Laura has $50. From this, you would have an inequality that indicates that 6 for the number of miniature stuffed animals and 4 for the number of toy trucks would be equal or less than 50:
6x+4y≤50
The answer is that the system of inequalities that represents this situation is:
x+y≥10
6x+4y≤50