Answer: 17
Step-by-step explanation:
Given: [tex](ax+b)(2x+3)=20x^2+44x+21[/tex], where a and b are two distinct integers.
First simplify left hand side as
[tex](ax+b)(2x+3)=ax\cdot \:2x+ax\cdot \:3+b\cdot \:2x+b\cdot \:3\\\\=2axx+3ax+2bx+3b\\\\=2ax^2+(3a+2b)x+3b[/tex]
Then comparing left side and right side
[tex]2ax^2+(3a+2b)x+3b=20x^2+44x+21[/tex]
we get 2a = 20 (coefficient of [tex]x^2[/tex]) , and 3b = 21 (constant term)
⇒ a= 10 and b= 7
Then, a+b= 10+7=17
Hence, the value of sum a+b is 17.
What is the solution to the proportion? Round the answer to the nearest tenth if necessary.
Answer:
problem please
Step-by-step explanation:
Find the lowest number between 200 & 500 which leaves a reminder of three in each case when divided by 8,10,12&30. Also I want the whole formula
Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "X" or "y" to describe the unknowns.
the product of a number and eight
Answer:
8X
Step-by-step explanation:
it says the product, which is multiplication
of a number (lets call it X) and 8
so its 8*X
Answer:
8x
Step-by-step explanation:
it says the product, which is basically multiplication of a number (which lets call X) and 8
so its 8*X
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
If h(x)=-(square root) of x-3 (outside square root) plus 5, then what is the value of h(7)?
Answer:
h(7) = 3
Step-by-step explanation:
h(x) = -[tex]\sqrt{x-3}[/tex] + 5
h(7) = -[tex]\sqrt{(7)-3}[/tex] + 5
h(7) = -√4 + 5
h(7) = -2 + 5
h(7) = 3
PLEASE HELP Which of the following expressions is equal to-4x^2-36? A:(-4x-9i)(x-4i) B:(-4x+9i)(x-4i) C:(-4x-12i)(x+3i) D:(-4x+12i)(x+3i)
Answer:
C is equal to -4[tex]x^{2}[/tex] - 36
Step-by-step explanation:
C: ( -4x -12) ( x + 3)= multiply -4x × x = -4[tex]x^{2}[/tex]= multiply -4x × 3 = -12x= multiply -12 × x = -12x= multiply -12 × 3 = -36= -4[tex]x^{2}[/tex] -24x -36, simplified to (-4[tex]x^{2}[/tex] - 36)divide 5kg in the ratio 13:7
Answer:
1.75 kg
Step-by-step explanation:
13/20 of 5 = 13/20 x 5= 3.25 kg
and, 7/20 of 5 = 7/20 x 5=1.75 kg
so, divide, 5 kg in ration of 13:7 is:
3.25 kg : 1.75 kg
Answer:
3.25 Kg : 1.75 Kg
Step-by-step explanation:
Sum the parts of the ratio, 13 + 7 = 20 parts
Divide the amount by 20 to find the value of one part of the ratio.
5 Kg ÷ 20 = 0.25 Kg ← value of 1 part of the ratio, thus
13 parts = 13 × 0.25 =3.25 Kg
7 parts = 7 × 0.25 = 1.75 Kg
If a truck travels at a constant speed and travels 238 miles in 3.5 hours then at what speed did the truck travel
Answer: Hi! Here we're trying to find the unit rate.
So we know that the truck travels 238 miles in 3.5 hours. To find the unit rate, the speed of miles per hour, all we need to do is divide the miles by the total time!
238 ÷ 3.5 = 68
So, the truck travels at 68mph.
Hope this helps!
What is the sum of -2-(-17)
Answer: Hi!
Remember, when you're subtracting a negative, that's equal to adding a positive. So -2-(-17) is actually equal to -2 + 17!
-2 + 17 = 15
The expression -2-(-17) is equal to 15.
Hope this helps!
What is: -(-8)+6-(-5) equal?
Solve x2 + 2x =1 for x by completing the square.
The quadratic formula is:
[tex]y = ax^{2} + bx + c[/tex]
To complete the square, take half of the b coefficient and square it. Zero it out in the equation by adding and subtracting it. Use the order of operations (PEMDAS) and solve for x.
I hope this helps. Let me know if you want me to clarify anything or if you have any questions!
The solution of the given quadratic equation is x = -1 ±√2
What is a solution for a quadratic equation?Suppose that we've a function y = f(x) such that f(x) is quadratic.
When y = 0, then the values of x for which f(x) = 0 is called the solution of quadratic equation f(x) = 0. This solution gives values of x, also when we plot x and f(x), we will see that the graph intersects the x-axis at its solution points.
The quadratic formula is given as;
x² + 2x =1
Then its solutions are given as;
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \dfrac{-2 \pm \sqrt{2^2 - 4(-1)}}{2}\\\\x = \dfrac{-2 \pm \sqrt{4 + 4}}{2}\\\\\\x = \dfrac{-2 \pm \sqrt{8}}{2}\\\\x = \dfrac{-2 \pm 2\sqrt{2}}{2}\\\\\\x = \dfrac{-1 \pm 1\sqrt{2}}{1}[/tex]
Therefore, the solution is x = -1 ±√2
Learn more about quadratic equations here:
https://brainly.com/question/3358603
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What is 56/128 (Fraction) added to 1 (whole number)
best and accurate will be marked as brainliest
Answer:
23/16
Step-by-step explanation:
simplify, 56/128 = 7/16
7 + 16 over 16
add together 7 and 16= 23
=23/16
Answer:
[tex]\Large \boxed{\frac{23}{16} }[/tex]
Step-by-step explanation:
56/128 + 1
56/128 is a fraction.
1 is a whole number.
1 can be rewritten as a fraction.
1 = 128/128
56/128 + 128/128
Add the fractions since denominators are equal.
(56+128)/128
184/128
Simplify the fraction.
8(23)/8(16)
23/16
11 + (3)(9) Step 1: 11 + (9)(3) Step 2: (11 + 9)(3) Step 3: 20(3) Step 4: 60 Analyze the work to find the error. In Step 1, the commutative property of multiplication was not done correctly. In Step 2, the associative property cannot regroup addition and multiplication. In Step 3, the multiplication must be done first In Step 4, the product is incorrect.
Answer:
This is the answer In Step 2, the associative property cannot regroup addition and multiplication.
Step-by-step explanation:
Hope this helped.
Answer:
In Step 2, the associative property cannot regroup addition and multiplication.
Step-by-step explanation:
11 + (3)(9)
Step 1: 11 + (9)(3)
Step 2: (11 + 9)(3) <- wrong
Step 3: 20(3)
Step 4: 60
hope this help!
PLEASE ANSWER ASAP! I REALLY NEED THIS ANSWER :( WILL MARK BRAINLIEST!Which sum will be irrational? a) 3+2 b) square root 19 + 7 over 2 c) 18 over 3 + 11 over 10,000 d) -6+(-3.251)
Answer:
[tex]\huge\boxed{Option \ B}[/tex]
Step-by-step explanation:
1) 3 + 2 = 5 [Since the result is a natural number, it is a rational number]
2) [tex]\sqrt{19} + \frac{7}{2}[/tex] [ It has a square root that cannot be simplified further so the sum of this is an irrational one ]
3) [tex]\frac{18}{3} + \frac{11}{10000}[/tex] [The sum of it is rational i.e. in the form of p/q ]
4) -6+ (-3.251) = -6-3.251 = -9.251 [ Since the result is an integer, it is a rational number]
Answer:
[tex]\Huge \boxed{\sqrt{19} +7}[/tex]
Step-by-step explanation:
Rational numbers can be integers, fractions, and whole numbers.
Rational numbers can be expressed as fractions p/q, where p and q are whole numbers.
[tex]3+2=5[/tex]
5 is whole number, it is a rational number.
[tex]\sqrt{19} +7= 11.358899....[/tex]
[tex]\sqrt{19}[/tex] is an irrational number, it cannot be expressed as a fraction p/q, where p and q are whole numbers.
[tex]\displaystyle \frac{18}{3} +\frac{11}{10000} =\frac{60011}{10000}[/tex]
The result is rational, it can be expressed as a fraction p/q, where p and q are whole numbers.
[tex]-6+(-3.251)=-9.251[/tex]
The result is rational, it can be expressed as a fraction p/q, where p and q are whole numbers.
What is the value of the expression when y = 2? StartFraction 2 minus y Over 4 plus y EndFraction plus StartFraction 3 (y plus 2) Over y EndFraction 3One-half 6 6One-sixth 12
Answer:
6Step-by-step explanation:
Given the expression [tex]\frac{2-y}{4+y} + \frac{3(y+2)}{y}[/tex], we are to look for the value of the expression when y = 2. To do that we are going to substitute y as 2 into the given expression and simplify the resulting expression as shown.
[tex]f(y) = \frac{2-y}{4+y} + \frac{3(y+2)}{y}\\\\if \ y = 2;\\\\f(2) = \frac{2-2}{4+2} + \frac{3(2+2)}{2}\\\\f(2) = \frac{0}{6} + \frac{3(4)}{2}\\\\\\f(2) =0 + \frac{12}{2}\\\\\\f(2) = 6[/tex]
Hence the value of the expression when y = 2 is 6
Answer:
The answer is 6
How you get this answer is by plugging in the number 2 in as y and following the order of operations.
Help pls 30 points given
Answer:
draw a diagonal line from (0,0) to (10,100) then find the output then you will get your answer
Step-by-step explanation:
what property is this 5(2+3)=(2+3)5
4 - c = -1/3 Can someone pls answer this question ASAP
4-c=-1/3
3[4-c]= -1
12-3c= -1
12+1=3c
13=3c
c=13/3
c=4 1/3
If the grass in Jamie’s yard grew 16 centimeters in 10 days and it was growin at a constant rate. How many days did it take the grass to grow 1 centimeter How many centimeters did the grass grow in one day
Rectangle ABCD is shown. A is at negative 5, 1. B is at negative 5, 3. C is at negative 1, 3. D is at negative 1, 1. Rectangle ABCD is rotated 180°. What rule shows the input and output of the rotation, and what is the new coordinate of A′? (x, y) → (−x, −y); A′ is at (5, −1) (x, y) → (−y, x); A′ is at (−1, −5) (x, y) → (y, −x); A′ is at (1, 5) (x, y) → (x, −y); A′ is at (−5, −1)
Answer:
(x, y) ⟶ (−x, −y); A′ is at (5, −1)
Step-by-step explanation:
When you rotate a point 180° about the origin, it travels along the circumference of a circle and ends up in a diagonally opposite location.
The x and y values of its coordinates become the negatives of the original values.
The rule is
(x,y) ⟶ (-x,-y)
If the coordinates of A are (-5,1),
The coordinates of A' are (5,-1).
The figure below shows the graph or your rectangle and its rotated image.
Answer:
(x, y) ⟶ (−x, −y); A′ is at (5, −1)
Step-by-step explanation:
just took the FLVS test and got a 100% :)
how to do this question plz answer my question plz
Answer:
Take the information given and create an equation that add up to 360.
Step-by-step explanation:
You might assume the smallest angle to be the given 55, so that would make the third term 120+55. The fourth angle is unknown, x
The equation sets up as
55+65+(55+120)+x = 360
Add all the numbers to get 295.
295+x=360
Subtract 360-295 = x
x=65
The four angles are 55°,65°,175° and 65°
I hope this answers your question!
W/5=3 what does w equal
Answer:
w=15
Step-by-step explanation:
w/5=3
multiply by 5 on both sides
w=3*5
∴ w=15
Answer:
15
Step-by-step explanation:
If something over 5 is 3, that means w divided by 5 equals 3.
That can bve translated to W=3 times 5, which is 15.
Therefore, W= 15.
It took a skydive 6 seconds to drop 720feet. What is the rate (in feet per/second) of the skydive's drop?
Answer:
120ft/sec
Step-by-step explanation:
Assuming that there is no acceleration, divide the amount of feet (720) with the time (6 seconds):
720 ft/6 sec = 120 ft/1 sec
For every second, the skydiver drops 120 ft.
120ft/sec.
~
94.7 or 94.70
please dont put 120 i kept getting it wrong
If r(x) = 3x - 1 and s(x) = 2x + 1, which expression is equivalent to
(6)?
Answer: It would be all of the above.
Step-by-step explanation:
Can someone help me I can’t understand this
Solve the literal equation 2xy -xz = 4 for x
Answer: x = 4 / 2y-z
Step-by-step explanation: Move all of your terms to the left and then set your equal as 0. Then, set each of your factors equal to 0, as well.
I hope this helps you out.
3(2c+d)-4(c-d)+d squared when c=1 d=3
please explain steps
Answer:
3(2c+d)-4(c-d)+d^2.
6c+3d-(4c+4d)+d^2.
6×1+3×3-4×1+4×3+9.
6+9-4+12+9=32.
Let the function f be continuous and differentiable for all x. Suppose you are given that f(−1)=−3, and that f'(x) for all values of x. Use the Mean Value Theorem to determine the largest possible value of f(5).
Answer:
Step-by-step explanation:
By MVT,
[tex]f'(c) = \frac{f(5)-f(-1)}{5-1}[/tex]
[tex]4f'(c)= f(5) + 3\rightarrow f(5) = 4f'(c) - 3[/tex]
Moreover, [tex]f'(x)\leq 4~~~~~~ \forall x,[/tex]
[tex]f(5) \leq 16 - 3 =13[/tex]
Hence the largest possible value of f(5) is 13
A coin flipped 10 times and shows tails each time. Is there statistical significance to say that the coin is not a fair coin
Answer:
no because Chance is likely to account the result.
In general, the value measured by the
variable __________
axis is called the dependent
Answer:
y
Step-by-step explanation:
When doing graphing, the y axis is dependent because its position relies on the placement of the x axis.
Find the midpoint of the segment with the following endpoints. (-4, -9) (-10,-3)
Answer:
Step-by-step explanation:
(x1, y1) = (-4 , -9) ; (x2, y2) = (-10, -3)
[tex]Midpoint(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\\\=(\frac{(-4)+(-10)}{2},\frac{(-9)+(-3)}{2})\\\\\\=(\frac{-14}{2},\frac{-12}{2})\\\\\\=(-7 , -6)[/tex]
(sin x) (2 sin x cos x)
Answer:
(sinx) (sin2x)
Step-by-step explanation:
2 sinx cosx = sin 2x