Answer: y = 4x-3
slope = 4, y intercept = -3
=================================================
m = 4 is the slope
[tex](x_1,y_1) = (-2,-11)[/tex] is the point the line goes through
Using point slope form, we can say,
[tex]y - y_1 = m(x - x_1)\\\\y - (-11) = 4(x - (-2))\\\\y + 11 = 4(x + 2)\\\\y + 11 = 4x + 8\\\\y + 11-11 = 4x + 8-11\\\\y = 4x - 3\\\\[/tex]
The equation is in slope intercept form y = mx+b
m = 4 = slope
b = -3 = y intercept
------------------------
As an alternative, you can use y = mx+b to get the same answer. We'll plug in m = 4 and (x,y) = (-2,-11) to solve for b
y = mx+b
-11 = 4(-2)+b
-11 = -8+b
-11+8 = -8+b+8
-3 = b
b = -3 we get the same y intercept value as above
------------------------
To check the answer, plug x = -2 into the equation. We should get y = -11
y = 4x-3
y = 4(-2)-3
y = -8-3
y = -11 we get the proper y value. The answer is confirmed.
Answer:
y = 4x-3
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b
The slope is 4
y = 4x+b
Substitute the point into the equation
-11 = 4(-2)+b
-11 = -8+b
Add 8 to each side
-11+8 = b
-3 = b
y = 4x-3
PLEASE HELP!!!!
Find the product. Write your answer in
exponential form.
2^6•2^-5
Answer:
2^1
According to the product of powers with the same base, a^m * a^n = a^m+n.
Basically, when you're multiplying exponents with the same base, you can add the powers together to get the answer.
2^6 * 2^-5
The bases are the same, so we can apply this rule.
6 + -5 = 1
This gives you the answer of 2^1.
Find the value of $B - A$ if the graph of $Ax + By = 3$ passes through the point $(-7,2),$ and is parallel to the graph of $x + 3y = -5.$
Answer:
A=-3
B=-1
ans:-1-(-3)=2
Step-11by-step explanation:
Ax+By=3,m1= -A/B
x+3y= -5,m2= -1/3
A/B=1/3(parallel)
3A=B
(-7,2)
-7A+2B=3
-7A+6A=3
A= -3
B=-3/3= -1
-1-(-3)=2
PLEASE HELP!! I will award Brainliest and give 55 POINTS!!! THANK YOU
Answer:
79
Step-by-step explanation:
If we square m + 1/m we get (m + 1/m)² = m² + 2 * (m * 1/m) + 1/m² = m² + 2 + 1/m². Since m + 1/m = 9, (m + 1/m)² = 81 so that means that m² + 1/m² = 81 - 2 = 79.
Answer:
79 is correct
What is the product of (7/8)(-16)(-7)(- 1/14)
Answer:
-7
Explanation:
7/8 x - 16 x -7 x -1/14 = -7
Answer: -7
7/8 x -16 = -14
-14 x -7 = 98
98 x 1/14 = -7
ANSWER IS -7
9 cans of paint are needed to
paint 4 rooms. Exactly how
many cans of paint are needed to
paint 10 rooms? How many cans
of paint should be purchased?
Exact:
Purchased:
Answer:
Step-by-step explanation:
Write and solve an equation of ratios:
9 4
----- = -----
x 10
Then 4x = 90, and x = 22.5
It will take exactly 22.5 cans of paint to cover 10 rooms. The painter must buy 23 cans.
Find the area of this circle. Area = _______ in2. Use 3.14 for pi and round to the nearest tenth. A. 35.8 B. 28.3 C. 254.3 D. 1017.4
Answer:
A ≈ 254.5 in²
Option C
Step-by-step explanation:
Area of a Circle Formula: A = πr²
d = 2r
Since we are given diameter d, we simply divide by 2 to get radius r:
r = 18/2 = 9
Then we simply plug it into the formula:
A = π(9)²
A = 81π
A = 254.469
A circle with a radius of 9 inches has an area of 254.3 square inches. The of aarea circle is calculated using the formula πr², where π is a mathematical constant approximately equal to 3.14 and r is the radius of the circle.
Hence, the correct option is C.
The area of a circle is calculated using the formula A = πr², where A is the area and r is the radius of the circle. In this case, the radius is 9 inches, so the area is given by:
In this case, the radius is 9 inches, so the area of circle is given by,
Area = pi × [tex]9^{2}[/tex]
Area = 3.14 × 81
Area= 254.3
The value of pi is approximately 3.14, so the area of the circle is approximately 254.3. However, the question asks for the area rounded to the nearest tenth, so the answer is 254.3.
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One serving of a certain brand of yogurt contains 9 g of fat. The low-fat version contains 36.75% less fat per serving. How many grams of fat does one serving the low-fat yogurt contain?
Answer:
Answer Choices??
Step-by-step explanation:
There is $500 in each of three envelopes. The first envelope contains only $10 bills, the second envelope contains only $20 bills, and the third envelope contains only $50 bills. One bill is taken out of one of the envelopes, two bills are taken out of another envelope, and three bills are taken out of the remaining envelope (in any order). What is the least possible amount, in dollars, that can be taken out?
Answer:
order:
-3 bills from first envelope (-30 dollars)
-2 bills from second envelope (-40 dollars)
-1 bill from third envelope (-50 dollars)
total least possible amount that can be taken out: 120
Step-by-step explanation:
Any other ways results in more than 120 being taken away. Need to have the least taken away from the 50 bill envelope because 50 is the largest bill. Take away the most from the 10 bill envelope because 10 is the smallest bill.
Answer:
$120
Step-by-step explanation:
So this question isn't hard either
We can cross out excess information and just find the main points.
a. 3 Envolopes containing 10 bills, 20 bills, and 50 bills
b. 1-3 bills are taken out of each envolope
c. It wants you to find the least possible amt. that could have been token out.
So since we want the least, we must take the smallest out of the largest
In order, 1 from 50 (largest)
2 from 20 (middle)
and 3 from 10 (smallest)
this leaves us the equation (1x50) + (2x20) + (3x10) => 50+40+30 => 120
Thus, we have our answer 120
Hope this helps!
Help please, I'm not timed
Answer:
B 30% you can divide 160 the total by 10then multiply and you can check B and C
what is the recursive formula for this geometric sequence? 2,-10,50,-250,...
Answer:
an = an-1 * (-5)
a1= 2
Step-by-step explanation:
The recursive formula is
an = an-1 * r
a1= initial term
where a1 is the initial term and r is the common ratio
a1 =2 or the starting term
r = second term / first term = -10/2 = -5
an = an-1 * (-5)
a1= 2
Answer:
The correct answer is D
Step-by-step explanation:
2 and -5
What shape will you get if you take a cross section of a square pyramid parallel to its base? ANSWERS: A rectangle A triangle A square A parallelogram
Answer:
A square
Step-by-step explanation:
Since the base is a square, any plane of the pyramid parallel to the base is shaped like a square (except the very top one which is a point).
Square shape will you get if you take a cross section of a square pyramid parallel to its base
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
'A square pyramid is a three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid.'
According to the given problem,
If a square pyramid is cut along the plane, then the cross-section of the solid is square. Because it is a square pyramid.
Hence, we concluded that square could be formed by slicing the square pyramid by a plane.
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Find the vertex of the function given below.
y= x2 - 6x +1
Answer:
V( 3, -8 )
Step-by-step explanation:
Parable equation is of the form:
( x - h )² = 4p*(y - k)
In that expression, vertex has coordinates V ( h, k )
Then all we have to do is transform the given equation
y = x² - 6x + 1 or x² - 6x = y - 1 (1)
We can get a perfect square trinomial in the first member of the equation according to:
x² - 6x = ( x - 3 )² - 9
(x - 3 )² = x² - 6x + 9
By substitution en equation (1)
( x - 3 )² - 9 = y - 1
( x - 3 )² = y -1 + 9
( x - 3 )² = y + 8
( x - 3 )² = (y + 8 )
Then vertex coordinates are
V( 3 , -8)
Help please. (Given: y ∥ x Prove: m∠5 + m∠2 + m∠6 = 180)
Answer:
Step-by-step explanation:
Concepts used :
sum of angles at a point on straight line is 180
if a transversal intersects two parallel lines then alternate angles are equal.
____________________________________________
∠∠∠∠∠
m∠1 + m∠2 + m∠3 = 180 ____________(A)
reason :sum of angles at a point on straight line is 180
these angles lie on LAM at point A
m∠1 = m∠5
Reason: alternate angles y ∥ x and AC is transversal
m∠3 = m∠6
Reason: alternate angles y ∥ x and AB is transversal
Substituting m∠1 with m∠5 and m∠3 with m∠6
in equation A---m∠1 + m∠2 + m∠3 = 180
m∠5 + m∠2 + m∠6 = 180
Hence proved.
Answer:
The answers are below. Hope this helped. I sacrificed my answers ˙-˙ :)
Step-by-step explanation:
<1 congruent to <5 Given
<3 congruent to <6 Alternate Interior Angles theorem
m<1 = m<5 Alternate Interior Angles theorem
m<3 = m<6 Definition of congruent angles
m<1+m<2+m<3=m< LAM Definition of congruent angles
m<1+m<2+m<3=180 Angle additon postulate
m<5+m<2+m<6=180 Definition of straight angle
Martina creates the graph of function g by applying a transformation to function f
f(x) = 4^x-2
g(x) = 4^x+7
Which transformation did Martina apply?
Answer:
A
Step-by-step explanation:
f(x)=4^x-2
g(x)=4^x+7
it is horizontal shift 9 unit to the left
hope it works
Answer:
A: A horizontal shift of 9 units left
Hope this helps! :D
Step-by-step explanation:
A father requires his son to do chores for 4 to 6 hours a week. If the son wants to do
chores daily, how many hours per day is this (in interval notation)?
Answer: 5 hours and 15 mins
Step-by-step explanation: 45 mins x 7 = 5 hours and 15 mins. I checked so it should be correct. [tex]45x2= 1[/tex]hour and 30 mins.So I multiplied 1 hr 30 x 3 which gave me 4 hr 30 then added 45 mins, then I got 5 hr 15 min.
So in conclusion the answer is 5 hours and 15 mins.
Thank You
Which Anna quality graft is the solution to X/ < -3
Answer:
Well the following inequality [tex]x<-3[/tex] as a graph is in the image below.
This year at the state fair they held two hot dog eating contests. The first contest had 19 contestants and the winner would be the person that ate the most regular-sized hot dogs in 15 minutes. The second contest had 23 contestants and the winner would be the person that ate the most jumbo-sized hot dogs in 15 minutes. The data from both contests are shown in the box-and-whisker plots above. Using the box-and-whisker plots, the results for the____-sized hot dog contest has greater variability. The difference in the medians of the two contests is approximately _____times the interquartile range.
Answer:
*regular-sized hot dog contest has greater variability
*The difference in the medians of the two contests is approximately 2 times the interquartile range.
Step-by-step explanation:
Variability of the data from both contests can be compared using the range or interquartile range of each set of data from both contests.
The greater the value of the range or interquartile range, the greater the variability.
Range for regular-sized hot dog contest = 32 - 17 = 15
Range for Jumbo-sized hot dog contest = 22 - 8 = 14
Interquartile range for regular-sized hot dog contest = 27 - 22 = 5
Interquartile range for jumbo-sized hot dog contest = 16 - 11 = 5
Median for regular-sized hot dog contest = 23
Median for jumbo-sized hot dog contest = 14
The difference in the median of both contests = 23 - 14 = 9, which is approximately 2 times the interquartile range (5)
Thus, results for the regular-sized hot dog contest has greater variability, be side its range is 5, which is greater than that for jumbo-sized contest.
The difference in the medians of the two contests is approximately 2 times the interquartile range.
The interquartile range of both contests is 5. The median difference between both contests is 9, it is approximately 2 times 5. (i.e. 9/5 = 1.8 ≈ 2).
Calculate the final cost: Original price $125 Discount 25%
Tax 6.5%
Please help me
Answer:
99.84
Step-by-step explanation:
Take the original price and subtract the discount
125 - .25 * 125
125 -31.25
93.75
Now add in the tax
93.75+.065*93.75
93.75+6.09375
99.84375
Rounding to the nearest cent
99.84
solve the math problem please
Answer:
B, x≥2
Step-by-step explanation:
54 - 10x ≤ 20 + 7x - subtract 20
34 - 10x ≤ 7x - add 10x to 7x
34 ≤ 17x - divide 34 by 7
2 ≤ x - flip the equation - x ≥ 2
Hope this is helpful!
Answer:
Choice B
Step-by-step explanation:
TRUST ME. IF YOU WANT EXPLANATION:
54 - 10x < = 20 + 7x
54 - 20 < = 7x + 10x
34 < = 17x
34/17 < = x
2 < = x.....or x > = 2....its B trust me
Please help with this
PLEASE HELP
Prison M and pyramid N and have the same base area and the same height. Cylinder P and prism Q have the same height in the same base perimeter. Come Z has the same base area of cylinder y, but its height is three times the height of the cylinder y. The figures? And? Have the same volume
9514 1404 393
Answer:
Cone Z, cylinder Y
Step-by-step explanation:
Pointy objects such as pyramids and cones have 1/3 the volume of a prism (or cylinder) with the same base area. So, for a cone and cylinder of the same base area to have the same volume, the cone must be 3 times as high.
The figures described as having that relationship are ...
cone Z, cylinder Y
_____
Additional comment
The perimeter of a prism is not sufficient to define its base area, unless the shape of the base is well-enough defined. However, the perimeter of the base is useful for determining the lateral surface area. Unfortunately, that is not of any interest in this problem.
Which of the following best describes the slope of the line below?
O A. Undefined
O B. Negative
O c. Positive
O D. Zero
Answer:
zero or undefined
Answer:
it's d zero.
Step-by-step explanation:
just took the test
Can someone help me out please :)
Students in a class sit two major exams.
75% of students pass the maths exam.
80% of those who pass
the maths exam
also pass the science exam. 40% of those
who fail the maths exam pass the science
exam. Find the probability that a student
chosen at random:
(b) fails both exams.
%
Answer:
15%
Step-by-step explanation:
25% fail math
60% of the 25% above fail science
thus,
[tex] \frac{25}{100} \times 60\%[/tex]
=15% of total student
Algebraically find the point where the cable and the strut intersect. Interpret your answer. (10 points)
Answer:
√2x+8=x-8
2x+8=x^2-16x+64
-x^2+18x-56=0
x^2-18x+56=0
x(x-4)-14(x-4)=0
(X-4)(x-14)=0
x=4(extraneous) ,x=14
—> x=14
Step-by-step explanation:
Answer: (14,6)
Step-by-step explanation:
Right on edg 2022.
The diagram shows a solid shape.
The volume of the cone is 270 cm.
Work out the volume of the solid shape.
Give your answer in terms of pi
Answer:
[tex]756\pi[/tex]
Solution,
Volume of cone=270 pi cm^3
[tex] \frac{1}{3} \pi \: {r}^{2} = 270\pi \\ or \: {r}^{2} \times 10 = 270 \times 3 \\ or \: {r}^{2} \times 10 = 810 \\ or \: {r}^{2} = \frac{810}{10} \\ or \: {r}^{2} = 81 \\ or \: r = \sqrt{81} \\ or \: r = \sqrt{ {9}^{2} } \\ r = 9 \: cm[/tex]
Volume of semisphere:
[tex] \frac{2}{3} \pi {r}^{3} \\ = \: \frac{2}{3} \times \pi \times 9 \times 9 \times 9 \\ = 486\pi[/tex]
Total:
[tex]270\pi + 486\pi \\ = 756\pi[/tex]
hope this helps...
Good luck on your assignment..
If there are 50 cups of rice for a group of five people who have a combined weight of 880 pounds, determine how many cups each person should get per 100 pounds. Round to the nearest tenth of a cup.
Answer:
28.4 cups
Step-by-step explanation:
If 5 people have a combined weight of 880 pounds, each person sould have a weight of 880/5 = 176 pounds.
Now, we can set up a proportion:
[tex]\frac{176}{50} =\frac{100}{x}[/tex]
Cross Multiply:
176x = 5000
x = 5000/176 = 28.4 cups
The required number of cups that each person has 5.6 cups per 100 pounds.
There are 50 cups of rice and group of 5 combined weight of 880 pounds. To determine how many cups each person should get per 100 pounds.
Fraction is defined as the number of composition constitute the whole.
average wait of people = 880/5 = 176 pounds
Each person can have cup beside the 100 pound weight = 50/5 = 10(max)
Number of cups per 100 pounds = 50/880*100
= 5.6 cups per 100 pound
Thus, the required number of cups that each person has 5.6 cups per 100 pounds.
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Graph the line that passes through the points (4, 3) and (1,6) and determine the equation of the line.
Answer:
y = -x + 7
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Step 1: Find slope
m = (6 - 3)/(1 - 4)
m = -1
Step 2: Find b
y = -x + b
6 = -1 + b
b = 7
Step 3: Rewrite linear equation
y = -x + 7
Answer:
y = -x + 7
Step-by-step explanation:
(x1, y1) = (4 , 3)
(x2, y2) = (1 , 6)
[tex]slope=\frac{y_{2}-y{1}}{x_{2}-x_{1}}\\\\=\frac{6-3}{1-4}\\\\=\frac{3}{-3}\\\\=-1\\\\y-y_{1}=m(x-x_{1})\\\\[/tex]
m = - 1; (4,3)
y - 3 = (-1)(x -4)
y - 3 = -x + 4
y = -x + 4 + 3
y = -x + 7
Solve the system of equations and choose the correct ordered pair. 3x-5y+2=21 and 2y=7x+4
Answer:
(-2 ; -5)
Step-by-step explanation:
2*y = 7*x + 47*x - 2*y = -4
(7/2)*x - (2/2)*y = -4/2
(7/2)*x - y = -2
(7/2)*x + 2 = y
3*x - 5*y + 2 = 213*x - 5*y = 21 - 2
3*x - 5*y = 19
3*x - 5*[(7/2)*x + 2] = 19
3*x - 35/2*x - 10 = 19
- 29/2*x = 29
- 1/2*x = 1
x = -2
⇒ y = -5
Answer : (-2 ; -5)
Help ASAP. what is this asking me to do
Answer:
It's asking you to write the function in a factored form for example g(x) or f(x) that's why its asking for you to use the x as the variable.
Step-by-step explanation:
PLs help me pls ssssssssssssssssss
Answer:
The answer is p/6-4/5.
hope it helps
Answer:
no
Step-by-step explanation: