Answer:
=4x^2 + 3/2 x − 7
Step-by-step explanation:
Let's simplify step-by-step.
x /2 −3 + 4x^2 + x − 4
= 1 /2 x + −3 + 4x^2 + x + −4
Combine Like Terms:
= 1 /2 x + −3 + 4x^2 +x + −4
= (4x^2) + ( 1 /2 x + x) + ( −3+−4 )
= 4x^2 + 3 /2 x + −7
pls help asap asap!!!
need an answer now!
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The equation f(x) = g(x) has : (in box 1)
[tex]1[/tex]Box - 2 :
[tex]x = 1[/tex]Find the exact value of each variable that represents its side length in a right triangle. Please help me with this ASAP!
Answer:
[tex]h=6[/tex]
[tex]k=2.5[/tex]
[tex]m=\sqrt{21}[/tex]
[tex]n=3\sqrt{10}[/tex]
[tex]p=\sqrt{17}[/tex]
Step-by-step explanation:
We can use the Pythagorean Theorem in each case.
Pythagorean Theorem:
[tex]a^{2} +b^{2} =c^{2}[/tex]
Where [tex]a[/tex] and [tex]b[/tex] are two sides of a right-angle triangle and [tex]c[/tex] is Hypotenuse (the longest side opposite to the right angle)
For [tex]h[/tex]:
[tex]h^{2} +8^{2} =10^{2}[/tex]
[tex]h^{2} +64=100[/tex]
Subtract 64 from both sides:
[tex]h^{2} =100-64[/tex]
[tex]h^{2} =36\\[/tex]
[tex]h=\sqrt{36}[/tex]
[tex]h=6[/tex]
We follow the same process to find [tex]k,m,n[/tex] and [tex]p[/tex].
3x²-x+1 is a factor of ax⁴+bx³+12x² - 6x + 1 . Then a-b equals
Answer:
a-b = 31 (a ≠ b)
Step-by-step explanation:
(3x²-x+1)(px²+qx+1) = ax⁴+bx³+12x² - 6x + 1
3px⁴+(3q-p)x³+(3+p-q)x²+(q-1)x+1 = ax⁴+bx³+12x² - 6x + 1
q-1 = -6 q = -5
3+p-q = 3+p-(-5) = 8+p = 12 p = 4
b = 3q-p = 3*(-5) - 4 = -19
a = 3p = 3*4 = 12
a-b = 12 - (-19) = 31
10-ounce package of cashews costs $8.11, and a 16-ounce package of cashews costs $12.
a. What is the cost per ounce for the 10-ounce package of cashews?
b. What is the cost per ounce for the 16-ounce package of cashews?
c. Which package is the better buy?
Answer:
A. 81 cents per ounce
B. 75 cents per ounce
C. The 16 ounce package would be a better buy.
Step-by-step explanation:
A. 8.11/10 = 0.811
B. 12/16 = 0.75
C. Each ounce is cheaper in the 16 ounce package.
Jenny & Natasha are working on a problem together: Solve x/3 + 8 = −2. Natasha thinks the first step is to multiply by 3. Jenny explains that this is not the most efficient way to solve. Explain who is correct & justify your reasoning.
The individual that is correct is Natasha. This is because the answer can be gotten using Natasha's method
The given equation is [tex]\frac{x}{3} + 8 = -2[/tex]
Solving the equation using Natasha's method
the fist step is to multiply by 2
x + 24 = - 6
The second step is to combine and add similar terms
x = -24 - 6
x = -30
Second method of solving the equation
The equation the friends are trying to solve is [tex]\frac{x}{3} + 8 = -2[/tex]
The first step is to combine similar terms
[tex]\frac{x}{3}[/tex] = - 8 - 2
The second step is to add similar terms together
[tex]\frac{x}{3}[/tex] = - 10
The third step is to multiply both sides of the equation by 3
x = (-10 x 3)
x = -30
A similar question was answered here: https://brainly.com/question/18613652?referrer=searchResults
Which tool should Darla and Rob use to measure the force that pulls the car down the ramp?
Answer:
A balance scale.
Step-by-step explanation:
A device for weighing. It has a balanced beam and two pans. When the pans contain exactly the same mass the beam is in balance. You can place an object in one pan and standard weights in the other to find what the object weighs.
A boutique sold $127.50 worth of purses. How many purses did they sell?
$7.50
Answer:
They sold 17 purses
Step-by-step explanation:
solve 3(b-5) = 27
solve 2x/3 = 6
solve 2(n + 5) = 15
solve a + a + a + a = 24
solve 4c + 6 = 18
please answer with an explanation
50 points given with explanation
Step-by-step explanation:
♤ 3(b-5) = 27
=> 3b - 15 = 27
=> 3b = 27 + 15 = 42
=> b = 42/3
=> b = 14 (Ans)
♤ 2x/3 = 6
=> 2x = 6 × 3 = 18
=> x = 18/2
=> x = 9 (Ans)
♤ 2(n + 5) = 15
=> 2n + 10 = 15
=> 2n = 15 - 10 = 5
=> n = 5/2
=> n = 2.5 (Ans)
♤ a + a + a + a = 24
=> 4a = 24
=> a = 24/4
=> a = 6 (Ans)
♤ 4c + 6 = 18
=> 4c = 18 - 6 = 12
=> c = 12/4
=> c = 3 (Ans)
which of these numbers is a perfect square
10,50,81,20
Answer:
81
Step-by-step explanation:
I need help with my homework I’m not good at math. Anyways the question is
| -6|
Answer:
the answer is 6
Step-by-step explanation:
the absolute value is how far from 0 the number is on the number line. -6 is 6 away from 0
PLEASE ANSWER 9 AMD 10 I BEG YOU YOU DONT NO HOW MUCH IT WOULD HELP
9a: 1/5. She takes a 1/5 and puts it in each so your fraction is 1/5
9b: $105. 525 / 5 = 105
10: Option 1. He gains more money this way.
In option 1 if he gets his allowence for 4 weeks, he would make $15 (1+2+4+8).
But in option 2 he would only make $4 because the square of 1 is 1 (1+1+1+1)
Hope that helps and hope I did that correctly
Total amount = $525
Split by a fraction, divide by 5 and then again divide by 5:
525*1/5*1/5 = 525*1/25 = 21a) The fraction = 1/25b) The amount = $21#10Option 1 results in sequence:
1, 1*2=2, 2*2=4, 4*2=8, etcOption 2 results in sequence:
1, 1² = 1, 1² = 1, 1² = 1, etc.It's obvious that option 1 is a better choice.
For every pound a company spends an advertising it spends 26p on its website express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form
Answer:
£1 = 100p
100:26
÷2
=50:13 thats the answer
Write the equation of the line that passes through the given point and is perpendicular to the given line
please explain if you can, but if you dont want to its okay
Answer:
y = 5Step-by-step explanation:
The line x = 3 is parallel to y- axis, the perpendicular line is going to be parallel to x- axis and will have an equation:
y = aSince it passes through the point (-2, 5), it will have a = 5:
y = 5 is the line we needPlease help
Given: P(1, 3)P(1,3)
and
Q(3,7)Q(3,7)
What is the slope of PQPQJ
Answer:
Slope = 2
Step-by-step explanation:
(1,3) and (3,7)
m = (7-3)/3-1)
= 4/2
= 2
what is 100,000-3002
Answer:
96998
Step-by-step explanation: just minus
Simplify 3 10 +7 15- 6 10 -4 15
O 3/10-315
O 315-3110
O 3130 -3120
O 3120-3130
Answer:
B
Step-by-step explanation:
Judy hiked down the North Rim of the Grand Canyon until she was at an elevation of 1,245 meters below sea level. She stopped to rest, and then hiked down 475 meters more. What elevation is she at if she hiked 544 meters up?
Answer:
She would be at an elevation of 1314 meters.
Step-by-step explanation:
1245 - 475 + 544
helpppppppppp me plsssssssssssssssss
There are (3^5)2 ⋅ 3^0 leaves on a tree. What is the total number of leaves on the tree?
3^3
3^7
3^10
3^25
Answer:
65x
Step-by-step explanation:
Rewrite each polynomial in standard form then identify the leading coefficient, degree, and number of terms 5x^3+ 2x-1-10x^2+9x^5-3x^4
Answer:
9x⁵-3x⁴+5x³-10x²+2x-1
degree = 5
leading coefficient = 9
number of terms = 6 (many terms)
Step-by-step explanation:
click on file! need help with this too! <3 (:
Answer:
1. True
2. False
3. True
87 calories per 3/4 cup. How many calories per 1 cup
since 87 calories = ³/₄ cup
let x calories = 1 cup
⇒ 87 = ³/₄ x
x = (87)(⁴/₃)
x = 116 calories
∴ if 87 calories is in 3/4 cup, then 1 cup contains 116 calories.plz help me with this im so confused
Answer:
1.) x = -5
y = -4
Point to graph: (-5, -4)
2.) x = 0
y = -6
Point to graph: (0, -6)
3.) x = 5
y = 8
Point to graph: (5, 8)
Step-by-step explanation:
Substitute x for the given value, then find y.
1.) -2(-5)-5y = 30
10-5y = 30
-5y = 20
y = -4
2.) -2(0)-5y = 30
-5y = 30
y = -6
3.) -2(5)-5y = 30
-10-5y = 30
-5y = 40
y = -8
Answer:
y values are
-4
-6
-8
Step-by-step explanation:
Dr.Mann mixed 10.384 g of chemical A, 12.061 of chemical B, and 7.505 g of chemical C to make 5 doses of medicine. How many grams are in one dose of medicine?
Answer:
5.99g in one dose.
Step-by-step explanation:
Add up all the chemicals in the mix and divide by 5 to get how many grams are in one dose of medicine. We divide by 5 cause we get 5 doses out of the entire mixture.
[tex]\frac{10.384+12.061+7.505}{5} =\frac{29.95}{5}=5.99g[/tex]
Perform the indicated operation.
Answer:
[tex]4 {x}^{3} + 2 {x}^{2} - 8x - 4[/tex]
Step-by-step explanation:
it's simple, just multiply
f.g(x)=(x^2-2)(4x+2)=4x^3+2x^2-8x-4
Step-by-step explanation:
Hi there!
f(x) = x²-2
g(x) = 4x+2
Then;
f(x).g(x) = (x²-2)*(4x+2)
= x²(4x+2) -2 (4x+2)
= 4x³ + 2x² - 8x - 4
Therefore, the answer is f(x).g(x)= 4x³ + 2x² - 8x - 4.
Hope it helps!
The measure of the third angle in an isosceles triangle is 55.5 more than the measure of either of the two equal angles. Find the measure of the third angle
Answer:
The third angle is 97º
Step-by-step explanation:
a triangle has 180º total
so 180-55.5=124.5
124.5÷3=41.5
then add the 55.5 back
41.5+55.5=97
97º
Write an equation to represent a number increase by 4 is 7.
Answer:
x + 4 = 7
Step-by-step explanation:
{2x + 3y = 10 -6x + y = 20 si se resuelve por el metodo de igualación ¿ cual es la igualdad que resulta si se despeja la variable y de ambas ecuaciones?
Answer:
Step-by-step explanation:
So im gonna be using the substitution method because its easier
We divide the equations into two and solve for y
-6x+y=20
We add 6x to both sides
-6x+y+6x=20+6x
y=6x+20
Now we plug in 6x+20 for y into the other equation
2x+3y=10
2x+3(6x+20)=10 We can simplify now
20x+60=10
20x=-50
take 20 from both sides so its gonna be a fraction
-5/2
We plug in -5/2 for x
y=6(-5/2)+20
y=5
]so therefore x is -5/2 and y is 5
珠ɪᴢᴜᴍɪᴿᴬᴳᴱ
The equality of the expression after removing y by substituting y is 2x + 21 = 10 - 6x + 7 = 20.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
A formula known as an equation uses the same sign to denote the equality of two expressions.
In another word, the equation must be constrained with some constraints.
Given the expression,
2x + 3y = 10 -6x + y = 20
So,
2x + 3y = 20 and 10 - 6x + y = 20
To remove y we need to find y and substitute.
So by substituting,
10 - 6(20 - 3y)/2 + y = 20
y = 7
So,
2x + 21 = 10 - 6x + 7 = 20
Hence "The equality of the expression after removing y by substituting y is 2x + 21 = 10 - 6x + 7 = 20".
For more about the equation,
brainly.com/question/10413253
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The given question is in the Spanish language in English it is ;
{2x + 3y = 10 -6x + y = 20 if it is solved by the equalization method, what is the equality that results if the variable y is cleared from both equations?
Did I do this right?
Answer:
3CuCl2 + 2Ni → 3Cu + 2NiCl3
The length of a rectangle is 4ft longer than it’s width. If the perimeter of the rectangle is 68ft, find it’s length and width.
Answer:
Represent the length and width by L and W. Then L = W + 4.
Using the perimeter formula: P = 2L + 2W = 68 ft = 2W) + 2(W+4).
Solve for W: 68 = 2W + 2W + 8, or 4W = 60. Thus, W = 15 and L = 19.
The dimensions of the rectangle are 15 by 19 feet.
Hope this helps you
