Answer:
Step-by-step explanation:
There appears to be a problem with your equation as it can be reduced to
y = (a + b)x + 3
which is a line of slope (a + b) and y intercept of 3
plugging in our points
10 = -1(a + b) + 3
7 = -1(a + b)
a + b = -7
13 = 2(a + b) + 3
10 = 2(a + b)
a + b = 5
a + b cannot equal both 5 and -7 at the same time.
I will GUESS that you mean y = ax² + bx + 3
10 = a(-1)² + b(-1) + 3
10 = a - b + 3.
b = a - 7
13 = a(2)² + b(2) + 3
13 = 4a + 2b + 3
10 = 4a + 2b
10 = 4a + 2(a - 7)
10 = 4a + 2a - 14
24 = 6a
a = 4
b = 4 - 7
b = -3
helppppppppppppppppppppppppppp
Answer:
14 cm
Step-by-step explanation:
One side of the composite has a length of 6 and the other side has a length of 8.
If we add these two numbers, we'll get the missing side length of the rectangle
6 + 8 = 14 cm
which property is illustrated by the following ?
if a = b + 7 and b + 7 = 9, then a = 9
Step-by-step explanation:
Associative property
We know
a + (b + c) = (a + b) + c
a = b + 7
b + 7 = 9
Rearrange Eq. 2
9 = b + 7
a = b + 7
Hence,
Value of a is 9
Select two ratios that are equivalent to 27 : 9.
Answer:
the ratio are missing
Step-by-step explanation:
27 : 9 can be written as
3:1
54 :18
Answers:
3 : 1
54 : 16
Solve the equation.
6(x + 7) = 5(x - 7) + x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is
(Simplify your answer.)
OB. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)
Answer:C
Step-by-step explanation:
6(x+7)=5(x-7)+x
⇔6x+42=5x-35+x
⇔6x-5x-x=-35-42
⇔0x=-77
8 more than the product of 7 and a number t
Write an algebraic expression
Answer:
7t + 8
Step-by-step explanation:
What is the determinant of the image shown?
–74
–51
51
69
The determinant of the matrix given in the image is -61
Determinant of matrixA = -2 2 -5
4 -1. -2
1 3 -5
A = -2{(-5× -1) - (3 × -2)} + -2{(-5×4) - (-2×1)} + -5{(4×3) - (-1×2)}
= -2{(5-(-6)} + -2{(-20 -(-2)} + -5{(12-(-2)}
= -2(5 + 6) + -2(-20+2) + -5(12+2)
= -2(11) + -2(-18) + -5(14)
= -22 + 36 -75
= -61
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Answer:
b)-51
Step-by-step explanation:
just took test.
Can someone that's very good at math please help me?
35: Problem Solving:You deposit $2000 in an account that earns simple interest at an annual rate of 4%.How long must you leave the money in the account to earn $500 in interest?
36: Problem Solving: A flight averages 460 miles per hour.The return flight averages 500 miles per hour due to a tailwind.The total flying time is 4.8 hours.How long is each flight?
Answer:
35 :
t = 6.25 years
(about 6 years 3 months)
Equation:
t = (1/r)(A/P - 1)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
t = (1/0.04)((2500/2000) - 1) = 6.25
t = 6.25 years
The time required to get a total amount, principal plus interest, of $2,500.00 from simple interest on a principal of $2,000.00 at an interest rate of 4% per year is 6.25 years (about 6 years 3 months).
36:
The two distances are the same (out and back), so set them equal.
That is done by having a (rate)(time) equal a (rate)(time).
One time is “x” and the other is “4.8-x.”
One rate is 460 and the other is 500.
460 x = 500 (4.8 -x)
460 x = 2400 - 500x
900 x = 2400
x = 2.5 hours for the slower plane.
4.8- x = 2.3 hours for the faster plane.
Please simplify 6p-2q+4r-2p+3s+5q
Answer:
[tex]6p - 2q + 4r - 2p + 3s + 5q[/tex]
group the like terms together:
[tex] = (6p - 2p) + ( - 2q + 5q) + 4r + 3s[/tex]
simplify:
[tex] = { \boxed{ \boxed{4p + 3q + 4r + 3s}}}[/tex]
what does answer on her sceen mean? 9e+10
Answer:
19e
Step-by-step explanation:
Triangle A’ B’ C’ is the image of triangle A B C under a rotation about the origin, (0,0)
Answer:
The triangle A B C will be the image of triangle of A B C in origin (0,0)
In October the amount of snowfall was 1/2feet in January the amount of snowfall was 5 3/8 feet what was the amount of snowfall in the two months combined
People who have a vitamin D deficiency also tend to have high blood pressure.
1. Identify the correct interpretation of the statement.
a. Vitamin D deficiency and high blood pressure have a cause-effect relationship in both directions.
b. Taking vitamin D will decrease your likelihood of developing high blood pressure.
c. Vitamin D deficiency causes high blood pressure.
d. Among people who have a vitamin D deficiency, a larger proportion have high blood pressure than not.
2. If there were something genetic which made people simultaneously more susceptible to both vitamin D deficiency an' high blood pressure, that would be an instance of : _________
a. the placebo effect.
b. common response.
c. confounding.
d. direct causation.
Find the volume of the following solid. Using cylindrical coordinates
z = 4 - 4(x^2 + y^2)
z = (x^2 + y^2)^2 -1
In cylindrical coordinates, the equations of the surfaces become
[tex]z = 4 - 4r^2 \\\\ z = (r^2)^2 - 1 = r^4 - 1[/tex]
These surfaces intersect on the cylinder of radius 1 with cross sections parallel to the x,y-plane:
[tex]4 - 4r^2 = r^4 - 1 \\\\ \implies r^4 + 4r^2 - 5 = (r-1)(r+1)(r^2+5) = 0 \\\\ \implies r=1[/tex]
Then in cylindrical coordinates, the volume of the space bounded by these surfaces is
[tex]\displaystyle \int_0^{2\pi}\int_0^1\int_{r^4-1}^{4-4r^2}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta = 2\pi \int_0^1 \int_{r^4 - 1}^{4-4r^2}r\,\mathrm dz\,\mathrm dr \\\\ = \pi \int_0^1 (4-4r^2)^2 - (r^4-1)^2 \,\mathrm dr \\\\ = \pi \int_0^1 (15-32r^2+18r^4-r^8)\,\mathrm dr = \boxed{\frac{352\pi}{45}}[/tex]
If x = 2 , y = 3 and z = 4 , find the value of y2 Z2 -x2
Answer:
y²z²-x²
3*3*4*4-2*2
3*16-4
48-4
44
Step-by-step explanation:
* means multiply
Answer:
[tex]here \: we \: want \: to \: find \: {x}^{2} {y}^{2} {z}^{2} \\ x = 2 \\ y = 3 \\ z = 4 \\ then \: {2}^{2} \times {3}^{2} \times {4}^{2} \\ = 4 \times 9 \times 16 \\ = 36 \times 16 \\ = 576 \\ thank \: you[/tex]
Erin is buying produce at a store. She buys c cucumbers at $0.69 each and a apples at $0.89 each. What does the expression 0.69c + 0.89a represent?
The expression represents the
(select)
.
Answer:
It represents the total amount that Erin is going to spend at the store.
Step-by-step explanation:
Find the third term in the expansion of (a+b)^9 in the simplest form
Answer:
[tex]The\ third\ term\ is\ \boxed{36a^7b^2}\\[/tex]
Step-by-step explanation:
[tex]\left(\begin{array}{c}9\\ 1\end{array}\right)=\dfrac{9}{1} =9\\\\\left(\begin{array}{c}9\\ 2\end{array}\right)=\dfrac{9*8}{2*1} =36\\\\\\(a+b)^9=a^9+\left(\begin{array}{c}9\\ 1\end{array}\right)a^8b+\left(\begin{array}{c}9\\ 2\end{array}\right)a^7b^2+....+b^9\\\\\\The\ third\ term\ is\ \boxed{36a^7b^2}\\[/tex]
The given expression is:
[tex](a+b)^9[/tex]According to the question,
→ [tex]\binom{9}{1} = \frac{9}{1}[/tex]
[tex]= 9[/tex]
→ [tex]\binom{9}{2} = \frac{9\times 8}{2\times 1}[/tex]
[tex]= \frac{72}{2}[/tex]
[tex]= 36[/tex]
Now,
→ [tex](a+b)^9 = a^9+\binom{9}{1}a^8b+\binom{9}{2}a^7b^2+...+b^9[/tex]
hence,
The third term is "[tex]36a^7b^2[/tex]".
Thus the approach above is appropriate.
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A triangle has side lengths of (7n-2p)(7n−2p) centimeters, (2n+4q)(2n+4q) centimeters, and (q-5p)(q−5p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
(7n-2p)(7n−2p) + (2n+4q)(2n+4q) + (q-5p)(q−5p) OR
53n² +29p² +17q² -14np +8nq -10pq
Step-by-step explanation:
The perimeter is found by adding all the side lengths.
P = (7n-2p)(7n−2p) + (2n+4q)(2n+4q) + (q-5p)(q−5p)
We know that (a+b)(a+b) = (a+b)², and (a-b)(a-b) = (a-b)²
P = (7n-2p)² + (2n+4q)² + (q-5p)²
We know that (a+b)² = a²+b²+2ab, and (a-b)² = a²+b²-2ab
P = 49n² + 4p² - 14np +4n² +16q² + 8nq +q²+25p² -10pq
Combine like terms
P = 53n² +29p² +17q² -14np +8nq -10pqWhen multiplying 16 by a number greater than 1 which of the following is always true? When multiplying 16 by a number greater than 1 which of the following is always true?
A
The product will be less than 16.
B
The product will equal the first factor.
C
The product will be greater than 16.
D
The product will be between 1 and 16.
Answer:
c
Step-by-step explanation:
16* a number greater than one will increase the number to a number higher than 16. the product is the result of multiplication and multiplication increases your value.
Answer:
C
Step-by-step explanation:
for example if you do 16n (n=2)
the answer would be 32
Or another example is 16y (y=12)
the answer is 192
The formula for the surface area of a cylinder with radius r and height h is at times twice the product of the
radius and height plus twice the product of t and the square of the radius. Translate this verbal expression into
an algebraic expression.
Answer:
[tex]2\pi \: rh + 2\pi {r}^{2} = 2(t \times {r}^{2} )[/tex]
Step-by-step explanation:
The TSA of the cylinder
[tex]2\pi \: rh + 2\pi {r}^{2} [/tex]
In Mathematics, 'is' is =
Twice means 2( )
Product means ×
So we have
[tex]2\pi \: rh + 2\pi {r}^{2} = 2(t \times {r}^{2} )[/tex]
as the answer.
Get brainlest if correct
Answer:
2 is the slope
Step-by-step explanation:
rise over run
up 2, over 1
up = rise
run = 1
2/1=2
Hope it helps!
Answer:
2
Step-by-step explanation:
→ Take 2 coordinates
( 20 , 20 ) and ( 30 , 40 )
→ Substitute into the gradient formula which ( x₂ - x₁ ) ÷ ( y₂ - y₁ )
[tex]\frac{40-20}{30-20}[/tex]
→ Simplify
[tex]\frac{20}{10} =2[/tex]
Which digit is in the ten billions place? 163,097,000,452
Answer:
The digit 6 is in the ten billions place.
It's value is 60,000,000,000
Hope it helps :)
Based on the data which table shows a constant of proportionality of 3 for the ratio of Amos and guitars?
The relationship between adult dog weight x in pounds and the daily recommended amount of dog food y in cups is proportional.
Write an equation for the relationship. How much dog food is recommended for a 25- pound adult dog?
please help me
no links or files
thank you !
Using proportional relations, it is found that:
The equation for the relationship is [tex]\frac{x}{60}[/tex].[tex]\frac{5}{12}[/tex] cups is recommended for a 25- pound adult dog.-------------------------------
The amount of cups of food y is proportional to the weight of a dog, which is of x pounds, and thus, the following equation models the situation:
[tex]y = cx[/tex]
In which c is the constant of proportionality.
-------------------------------
[tex]\frac{1}{6}[/tex] of a cup is needed to feed a dog of 10 lbs.This means that when [tex]x = 10, y = \frac{1}{6}[/tex]This is used to find c.[tex]y = cx[/tex]
[tex]\frac{1}{6} = 10c[/tex]
[tex]60c = 1[/tex]
[tex]c = \frac{1}{60}[/tex]
Thus, the equation for the relationship is:
[tex]y = \frac{x}{60}[/tex]
-------------------------------
The amount of cups needed for a 25-pound dog is y when x = 25, thus:
[tex]y = \frac{25}{60} = \frac{5}{12}[/tex]
[tex]\frac{5}{12}[/tex] cups is recommended for a 25- pound adult dog.
A similar problem is given at https://brainly.com/question/22846068
The radius of a circle is 8cm. What is the circumference?
I got 12 for this but can someone go over it and show the steps please & thanks!!
Answer:
=12
Step-by-step explanation:
2 × {4 ÷ 2 -5}^2 -6
Solve the brackets first
2 × { 2 -5}^2 -6
2 ×{ [tex]-3^{2}[/tex]} -6
2 × 9 -6
18 -6
= 12
Answer:
12
Step-by-step explanation:
Solve the bracket
2* (4÷2-5)^2 -6
2× (2-5)^2 -6
2×(-3)^2 -6
2×(-3×-3)-6 (- × - = +) Negative × Negative = Positive
2×(9)-6
18-6
12 is the final answer
3x2 + 5x - 7(x2 + 4)
Answer:
-4x^2+5x-28
Step-by-step explanation:
Expand -7(x^2 +4) = 3x^2+5x-7x^2-28
Simplify 3x^2+5x-7x^2-28 = -4x^2+5x-28
Answer: -4x² + 5x - 28
Step-by-step explanation:
Given expression
3x² + 5x - 7 (x² + 4)
Expand parentheses and apply the distributive property
=3x² + 5x - 7x² - 28
Combine like terms
=(3x² - 7x²) + 5x - 28
=[tex]\boxed{-4x^2+5x-28}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
What is the equation of the line that passes through the point (6,-5) and has a
slope of -3/2?
Answer:
y = -3/2x + 4
Step-by-step explanation:
y = -3/2x + b
-5 = -3/2(6) + b
-5 = -9 + b
4 = b
Factor by using the perfect square trinomial formula
x^2+4x+4
A. x^2 +4x+4=__
B. The poly. is prime
What was the first inverse operation to find the answer of -4(3x -5) < 2(3x+ 4)
Answer:
First operation is Parathenses or Grouping. In this case, you need to use distrubtion to go past this operation
Step-by-step explanation:
Round the following numbers to the nearest
tenth:
3.568409
-1.293857291
Answer:
Answer:
I
110.254
2.932789
Answer:
Answer:
Answer:
3.6
- 1.3
110.3
2.9
Step-by-step explanation:
