Answer:
5.25
Step-by-step explanation:
Solve the simultaneous equations
2x – 3y = 12
3x + 4y = 1
Answer:
x=3 and y=−2
Step-by-step explanation:
Multiply the first equation by 4,and multiply the second equation by 3.
4(2x−3y=12)
3(3x+4y=1)
Becomes:
8x−12y=48
9x+12y=3
Add these equations to eliminate y:
17x=51
Then solve17x=51for x:
17x=51
17x
17
=
51
17
(Divide both sides by 17)
x=3
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
2x−3y=12
Substitute3forxin2x−3y=12:
(2)(3)−3y=12
−3y+6=12(Simplify both sides of the equation)
−3y+6+−6=12+−6(Add -6 to both sides)
−3y=6
−3y
−3
=
6
−3
(Divide both sides by -3)
y=−2
Answer:
[tex](3,-2)[/tex]
Step-by-step explanation:
[tex]2x-3y=12[/tex]
[tex]2(3)-3(-2)=12[/tex]
[tex]6--6=12[/tex] Two negative signs together makes a addition
[tex]3x+4y=1[/tex]
[tex]3(3)+4(-2)=1[/tex]
[tex]9-8=1[/tex]
The slope of the line that represents the data Nicholas collected is -63, and the y-intercept is 825. Explain what these represent in the context of the situation. Remember that x is the number of days, and y is the number of canned goods.
Find the slope and y-intercept of the line.
m =
b =
Answer:
Step-by-step explanation:
They tell you the slope of the line is -63 :/ m= -63
and then they tell you the y-intercept is 825 b= 825
Why did you even need to ask about this ?
pls help me on this i don't know what to do
Answer:
D.
Step-by-step explanation:
Standard Form (Quadratic): [tex]y=ax^2+bx+c[/tex]
Vertex Form (Quadratic): [tex]y=a(x-h)^2+k[/tex]
Intercept Form (Quadratic): [tex]y=a(x-p)(x-q)[/tex]
p,q are x-intercepts
x-intercepts given in graph: -2,4
[tex]y=a[x-(-2)](x-4)[/tex]
eqn 1: [tex]y=a(x+2)(x-4)[/tex]
Plug in the given point to find 'a' : (3,-5)
[tex]-5=a(3+2)(3-4)[/tex]
[tex]-5=a(5)(-1)[/tex]
[tex]1=a[/tex]
Substitute 'a' in to eqn 1.
[tex]y=1(x+2)(x-4)[/tex]
eqn 2: [tex]y=(x+2)(x-4)[/tex]
Expand eqn 2. (can use FOIL)
[tex]y=x^2-2x-8[/tex]
Raymond is four times as old as christine plus 5 years.Write an algebraic expression for Raymonds age in terms of christine age
Answer:
4c + 5 = R
Step-by-step explanation:
This should help you
Need this in now like ASAP.
Fill the blanks in with yes or no
Answer-
a. no
b. yes
c. no
9) Solve for w:
W +12
2w
Answer:
w = 26
Step-by-step explanation:
set up an equation; since this is a right angle, it equals 90 degrees
90 = w + 12 + 2w
90 - 12 = w + 2w
78 = 3w
78/3
w = 26
Answer:
w = 26
Step-by-step explanation:
2w +w + 12 =90
3w +12 = 90
-12 -12
3w = 78 then 3w/3 = 78/3
w=26
An angle is bisected by a segment forming two new angles find m
Answer:
60
Step-by-step explanation:
Note that angle ZXY is the bisected angle which was split into angle 1 and 2
Also note that bisectors split angles into to separate congruent angles ( So if angle ZXY was bisected into angle 1 and angle 2 then angle 1 = angle 2 )
If angle 2 = 30 then angle 1 also = 30
Like stated multiple times angle ZXY is made up of angle 1 and 2
Hence, Angle ZXY = Angle 1 + Angle 2
Angle ZXY = 30 + 30 = 60
Question 2: *
What is an equation of a line that is perpendicular to the line whose
equation is 2y + 3x = 1?
Answer:
[tex]y = \frac{2}{3} x[/tex]
Step-by-step explanation:
Hope it is helpful...
19.
Which of the following equations has a graph that crosses the y-axis at a point lower than the graph of y= -2x2 - 1?
A. y= 3x2 - 3
B. y= -3x2 + 3
C. y= -3x2 + 1
D. y= -3x2 - 1
Answer:
B. y= -3x2 + 3
Step-by-step explanation:
y= -3^2+3
The given equations has a graph that crosses the y-axis at a point lower than the graph is option (C) is correct.
To find the equation/
What is quadratic equation?Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.
Given that:
By definition, the graph of Quadratic function is a parabola.
The Standard form of a Quadratic function is the following:
[tex]f(x)=ax^{2} +bx+c[/tex]
Where "a", "b" and "c" are real numbers (a≠0)
It is important to remember that if the value of the leading coefficient "a" is larger, then the parabola will be narrower.
So, given the following Quadratic equation:
[tex]y=-2x^{2} -1[/tex]
You can identify that:
IaI=2
Therefore, the equation that has a graph that crosses the y-axis at a point lower than the graph, must have a leading coefficient larger than 2.
[tex]y=-3x^{2} +1[/tex]
Where:
IaI=3
Notice that:
3>2
Learn more about quadratic equation here:
https://brainly.com/question/23957028
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12. The local regional transit authority of a large city was interested in determining the mean
commuting time for workers who drive to work. They selected a random sample of 125
workers who drive to work and asked them how long they spent commuting to work in
minutes). A 95% confidence interval was constructed and reported as (27.74, 30.06).
(a) Show that the conditions for calculating a confidence interval for a mean are satisfied.
(b) Interpret the interval in the context of this problem.
1. We conclude that the conditions for calculating a confidence interval for a mean are satisfied.
2. Since interval was constructed and is reported, we assume that distribution of the sample mean is normal.
Do the conditions for a mean confidence interval calculation hold?Let x be the sample mean
Let s be the sample standard deviation
Let n be the sample size
Let α be the significance level
Let Z be the standard normal distribution value.
To determine if conditions for calculating confidence interval for a mean are met, we have to check the followings:
1. Random sampling:
The sample of 125 workers was selected randomly.
2. Independence:
We assume that each worker's commuting time is independent of each other.
3. Sample size:
n = 125 > 30. This satisfies the condition for the central limit theorem to apply.
4. Normality:
The 95% confidence interval was constructed using the formula x ± Zα/2(s/√n).
Since interval was constructed and is reported, we can assume that the distribution of the sample mean is approximately normal. Therefore, we can conclude that the conditions for calculating a confidence interval for a mean are satisfied.
Read more about confidence interval
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Help asap please im failing
Step-by-step explanation:
Convert each fraction by setting up proportion out of 100.
[tex] \frac{60}{90} = \frac{?}{100} [/tex]
[tex] \frac{78}{150} = \frac{?}{100} [/tex]
[tex] \frac{75}{120} = \frac{x}{100} [/tex]
Cross multiply each fraction. let x represent the missing number.
[tex]6000 = 90x[/tex]
[tex]7800 = 150x[/tex]
[tex]7500 = 120x[/tex]
Solve for x
For the first equation.
[tex]x = 66.66666[/tex]
For the second equation
[tex]x = 52[/tex]
For the third equation,
[tex]x = 62.5[/tex]
Round each missing value to the nearest whole value and add the % sign.
60/90=67%
78/150=52%
75/120=63%
He scored the highest on his English test.
What value of n makes the equation true?
Answer:
10
Step-by-step explanation:
When multiplying numbers of the same base the exponents are added
therefor
n + 10 = 20
n = 10
Answer:
10
Step-by-step explanation:
y^n × y^10 = y^20
y^(n+10) = y^20
n+10 = 20
n = 20-10
n = 10
For question 12, use the graph to guess one zero for the polynomial whose graph is shown. Then, factor completely.
12) f(x) = x³ - 6x² + 6x + 8
Answer:
x³ - 6·x² + 6·x + 8 = (x - 4) × (x - (1 + √3)) × (x + 1 + √3)
Step-by-step explanation:
From the given graph of the polynomial, x³ - 6·x² + 6·x + 8, we have that one of the zeros of the polynomial, which is one point the graph cuts the x-axis is given as follows;
At a zero, we have, x = 4
∴ x - 4 = 0 is a factor of the polynomial
Dividing the given polynomial by (x - 4), gives;
x² - 2·x - 2
(x³ - 6·x² + 6·x + 8)÷(x - 4)
x³ -4·x²
-2·x² + 6·x + 8
-2·x² + 8·x
-2·x + 8
-2·x + 8
0
∴ (x³ - 6·x² + 6·x + 8)÷(x - 4) = x² - 2·x - 2
∴ (x - 4) × (x² - 2·x - 2) = x³ - 6·x² + 6·x + 8
Factorizing x² - 2·x - 2, gives;
x = (2 ± √((-2)² - 4×1×(-2)))/(2 × 1) = (2 ± 2·√(3)/(2) = (1 ± √(3)
Therefore, x = 1 + √3, (x - (1 + √3)) = 0 or x = 1 - √3, (x - (1 - √3)) = 0 which gives the factors, after factorizing completely as follows;
x³ - 6·x² + 6·x + 8 = (x - 4) × (x - (1 + √3)) × (x + 1 + √3)
Luis put out 6 different pies at a picnic at the end of the picnic, he noticed this about the pies: one whole apple pie was eaten, and 3/4 of another apple pie was eaten 1/2 of the blackberry pie was eaten 1/8 of the blueberry pie was eaten 5/8 of the cherry pie was eaten 3/4 of the peach pie was eaten. What is the total amount of pies that where left over
Answer:
2 1/4
Step-by-step explanation:
amount left of apple pie = 1 - 3/4 = 1/4
amount left of blackberry pie = 1 - 1/2 = 1/2
amount left of blueberry pie = 1 - 1/8 = 7/8
amount left of cherry pie = 1 - 5/8 = 3/8
amount left of peach pie = 1 - 3/4 = 1/4
add this figures together
1/4 + 1/2 + 7/8 + 3/8 + 1/4
2 4 + 7 + 3 + 2
8
Mr. Hayes is having friends over to watch basketball and needs to buy snacks T buys five boxes of crackers in each box there are three saves of 24 crackers how many crackers did he buy all together this is a two step problems try multiplying numbers in different orders do you get the same answer
Answer:
120 crackers
Step-by-step explanation:
Given
[tex]Box = 5[/tex]
[tex]Crackers = 24/box[/tex]
Required
The total number of crackers
To do this, we simply multiply the number of box by the crackers per box
[tex]Total = Box * Crackers[/tex]
[tex]Total = 5 * 24[/tex]
[tex]Total = 120[/tex]
A company that makes hair-care products had 7,000 people try a new shampoo. Of the 7,000 people, 28 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer: 0.4%
Step-by-step explanation:
First, a porportion needs to be set up.
part/whole = percent/100
28/7,000 = x/100
Second, cross multiply.
2800=7,000x
x=0.4
. Which of these could be the side lengths of a right triangle? Highlight all possible answers. A. 4-7-10 B. 36-48-60 C. 6-10-14 D. 14-48-50
Answer:
B. ) 36-48-60
Step-by-step explanation:
From Pythagoras theorem, we can determine the sides of the triangle by testing the options
a^2 + b^2 = c^2
Then test the options
B. ) 36-48-60
36^2 + 48^2 = 60^2
3600 + 2304 = 3600
3600= 3600
Since both sides have equal values, then OPTIONS B express a correct sides of the triangle
C.) 6-10-14
6^2 + 10^2 = 14^2
36+ 100= 196
136= 196( it doesn't make an equality then it's not the answer
What is the sum of 4.2 × 10^5 and 5.3 × 10^5
Answer:
4.2 x 10^5 = 420,000
5.3 x 10^5 = 530.000
Step-by-step explanation:
SOMEBODY PLEASE HELPPP ME!!!!
Answer:
15.6
Step-by-step explanation:
We see a dilation. So the ratio between UT and XW is 2:7.8. That is 1:3.9. If we put 4 in the 1 place, then we get 15.6
Please give brainliest
Hope this helped
Write the equation of a line with a slope of-5/7 and a y-intercept of 1.
Answer:
y = -5/7x + 1
Step-by-step explanation:
y = -5/7x + 1
Does anybody know 5.4.7: Teenagers CodeHs. Please help I am stuck in this
Answer:
The program in Python is as follows:
age = int(input("Age: "))
if age>=13 and age <=19:
print("Teenager")
else:
print("Not a teenager")
Step-by-step explanation:
This gets input for age
age = int(input("Age: "))
This checks if age is between 13 and 19 (inclusive)
if age>=13 and age <=19:
If yes, the age is teenage
print("Teenager")
If otherwise, the age is not teenage
else:
print("Not a teenager")
When x=3 and y=-1, what is the value of this expression?
Answer:
what expression
Step-by-step explanation:
Which graph represents the solution set of the inequality x + 2 greater-than-or-equal-to 6 A number line goes from negative 9 to positive 9. A solid circle appears on positive 3. The number line is shaded from positive 3 through negative 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 3. The number line is shaded from positive 3 through positive 9. A number line goes from negative 9 to positive 9. A closed circle appears at positive 4. The number line is shaded from positive 4 through positive 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 4. The number line is shaded from positive 4 through negative 9.
15 feet tree cast a shadow that is 15 feet long. What is the distance from the top of the tree to the tip of its shadow?
Answer: Hi. The height of the tree is 27 ft
Step-by-step explanation:
Answer link- https://socratic.org/answers/601885
High school geometry
Answer:
It would be 12. Do you need me to explain or are you good?
Step-by-step explanation:
Answer:
6√2
Step-by-step explanation:
LMNO is a parallelogram. If sides NM=2x+5, OL=x+10,and NO=7x-3. Find the value of X and then find the length of NM and NO
You want all of the answers or just one?
Answer:
Step-by-step explanation:
opposite sides of a parallelogram are equal . So,
NM = OL
2x + 5 = x + 10
2x - x = 10 - 5
x = 5
substitute the value of x
NM = 2x + 5
=2*5 + 5
=15
for NO also substitute 5 inplace of x
The hire purchase price of a fridge is 16400. 25% is paid as deposit, the rest is spread over 12 equally monthly instalments. If the cash price is 20% less the hire purchase pries, (a) find the costs price of the fridge (b) calculate the deposit (c) what is the monthly installments (d) what is the differences between the cash price and the hire purchase prie
Answer: a. 13120
b. 4100
c. 1025
d. 3280
Step-by-step explanation:
(a) find the costs price of the fridge
Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:
= (100% - 20%) × 16400
= 80% × 16400
= 0.8 × 16400
= 13120
(b) calculate the deposit
Since 25% is paid as deposit, the deposit will be:
= 25% × 16400
= 0.25 × 16400
= 4100
(c) what is the monthly installments
Monthly installments will be:
= (16400 - 4100)/12
= 12300/12
= 1025
(d) what is the differences between the cash price and the hire purchase price.
This will be:
Hire purchase price = 16400
Cash price = 13120
= 16400 - 13120
= 3280
Please help me with these questions
Answer:
A. <EKH and <EKF
B. <EKH and <FKG
C. <HKJ and <GKJ
Step-by-step explanation:
A. A linear pair are two adjacent angles that forms a straight line that equals 180°.
<EKH and <EKF is a linear pair
B. A pair of vertical angles are opposite angles formed when two straight lines intersect. They share a common vertex.
<EKH and <FKG
C. Adjacent angles share a common vertex and a common side. The pair of adjacent angles that are not a linear pair will not form a straight line.
<HKJ and <GKJ are adjacent angles that share the same vertex (<K) and the same side (KJ). However they do not form a straight line. Therefore, <HKJ and <GKJ are a pair of adjacent angles that are not a linear pair.
The function C(x) = 400x - 0.2x ^ 2 represents the total costs for a company to produce a product, where in dollars and x is the number of units sold. Which statement is true? is the total cost
Answer: it b y’all
Step-by-step explanation: I took the test
Answer:
B
Step-by-step explanation:
To determine the maxima and minima of the polynomial, differentiate the given based on x and equate to 0. C(x) = 400x - 0.2x² dC(x) / dt = 400 - 0.4 x = 0 The value of x is 1000. This is the value of the maxima. As the value of C(x) continously becomes lesser as the value of x is set higher, the minima is not identified. Substitute x to the original equation, C(x) = (400)(1000) - 0.2(1000²) = $ 200,000Thus, the answer is letter B.
Please give real answers with an explaination. I will follow + I will give the brainliest. No Docs/No Files/No Links only answer with explaination.
Answer:
129 = x
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
47+82 = x
129 = x
Answer:
47+82 = x
129 = x
hope it helps