Answer:
2x + 3.
Step-by-step explanation:
x + x + 3
= 2x + 3.
Answer:
2x+3
Step-by-step explanation:
x+x+3=2x+3
sum means to add both expression together and we can see there are 2 x's so we can add them and get 2x+3
At a pizza restaurant it costs $4 to make a small pizza that sells for $12, and it costs $6 to make a large pizza that
sells for $15. In one week, the restaurant spent a total of $1100 to make pizzas and sold all of them for $2910. How
many small pizzas were sold?
small pizzas were sold?
Help please.. z zzz z Z z z z z z z z z z z z z zz
Answer:
B
Step-by-step explanation:
look at the graph, it is really easy with such basic numbers involved :
the red dotted line is
y = 2
since the line is dotted (= the points on the line are not included in the solution), the colored area is below the line is
y < 2
the blue line is clearly just a 45° basic line through the origin (0,0), and that means for every point in that line x is equal to y.
y = x
and the line is solid, so the points are included in the solution. the shaded area is above the line, so, we need to use the ">" relation :
y >= x
the required solution is the combination of both, and therefore, B is correct.
Triangle A B C is cut by line segment S T. Line segment S T goes from side A B to side C B. Lines S T and A C are parallel. The length of S B is 10 feet, the length of B T is 9 feet, and the length of C T is 2.7 feet.
What is the length of Line segment S A?
1.89 ft
2.43 ft
3 ft
7 ft
In the triangle ABC, the length of the line segment SA=3 ft ( 3rd option).
In triangle ABC,
SB=10ftBT=9ftCT=2.7ft &ST|| ABAccording to the triangle proportionality theory, we know that if a triangle has a line segment parallel to one of its sides, the line segment splits the other sides correspondingly.
Hence,
SA/SB=CT/BT
⇒SA/10=2.7/9
⇒SA=(2.7*10)/9
⇒SA=3
So, the length of SA is 3 ft.
Therefore the 3rd option is correct.
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Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she drinks in a week?
There are 16 cups in a gallon.
Answer:
D
Hope this helps!
12. How many grams is of of 800 g?
[tex] \frac{3}{8} [/tex]
of 800 g ?
Answer:
800
Step-by-step explanation:it's cuz g represents
If a polygon has an area of 25cm and is dilated by a factor of 3, what will be the area of the dilated polygon?
Answer:
225 cm²
Step-by-step explanation:
dilatation factor = 3 , then
area factor = 3² = 9
the area of the dilated polygon is then 9 times the area of the original so
area of dilated polygon = 9 × 25 = 225 cm²
My supersonic jet burns 4 gallons of jet fuel in 3 seconds. How many gallons of jet fuel do I need to fly for an hour?
What are the values of x and y for this equation?
(x+yi)+(8-5i)=4+3i
Step-by-step explanation:
ATTACHED IS THE SOLUTION. Don't hesitate to ask where you don't understand.PLs help answer ASAP
Answer:
The factors of the given equation are:
(11x−8)(11x+2)
Step-by-step explanation:
Since both terms are perfect squares,
Factorize using the difference of squares formula,
[tex]a^{2} -b^{2}[/tex][tex]=(a+b)(a-b)[/tex]
where a=11x−3 and b=5.
=> (11x-3+5)(11x-3-5)
=> (11x+2)(11x−8)
=>[tex](11x-3)^{2}-25[/tex]
Use the binomial theorem [tex](a-b)^{2}=a^{2} +b^{2} -2ab[/tex] to expand[tex](11x-3)^{2}-25[/tex]
=> [tex](11x^{2})+(3)^{2}- 2(11x)(3)-25[/tex]
=>[tex]121x^{2} + 9 - 66x -25[/tex]
=> [tex]121x^{2} -16+ 66x[/tex]
By the splitting method,
=> (11x−8)(11x+2)
The factors of the equation are (11x−8)(11x+2).
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please helpp (15 points)
We have:
vertex = (-1, 16)vertical intercept = (0, 14)x-intercepts = (-3,83, 0), (.1,83, 0).How to find the vertex of the parabola?
For a parabola like:
[tex]y = a*x^2 + b*x + c[/tex]
The vertex is at:
[tex]x = -b/2a[/tex]
In this case, we have:
[tex]y = -2x^2 -4x + 14[/tex]
So the vertex is at:
[tex]x = 4/2*(-2) = -1[/tex]
To get the y-value, we need to evaluate in x = -1.
[tex]y = -2*(-1)^2 - 4*(-1) + 14 = -2 + 4 + 14 = 16[/tex]
So the vertex is (-1, 16)
How to find the y-intercept?To do that we just evaluate in x = 0.
[tex]y = -2*0^2 -4*0 + 14 = 14[/tex]
The vertical intercept is (0, 14).
How to get the x-intercepts?Using Bhaskara's formula we get:
[tex]x = \frac{4 \pm \sqrt{(-4)^2 - 4*(-2)*14} }{2*-2} \\\\x = \frac{4 \pm 11.31 }{-4}[/tex]
So the two roots are:
x = (4 + 11.31)/(-4) = -3.83
x = (4 - 11.31)/(-4) = 1.83
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what is the square root of 36/196
√36/169
Answer:
The square root of 36/196 is 3/7.
The square root of 36/169 is 6/13.
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m - 1/2 = 2 + 1/4m
2
3
4
5
sin 30°-cos 30°÷ sin 60°
Answer:
-1/2
Step-by-step explanation:
sin(30 degrees) = sin (pi/6) = 1/2
cos(30 degrees) = cos (pi/6) = [sqrt(3)]/2]
sin (60 degrees) = sin(pi/3) = [sqrt(3)]/2]
1/2 - [sqrt(3)/2] / [sqrt(3)/2] = -1/2
1. What is the binomial expansion of (x + 3)5?
Answer:
5x + 15
Step-by-step explanation:
To expand the binomial, you need to multiply each term inside the parentheses by 5.
(x + 3)5
= (x * 5) + (3 * 5)
= 5x + 15
What is the area of this trapezoid?
340 cm²
427.5 cm²
440 cm²
487.5 cm²
Answer:
440cm²
Step-by-step explanation:
*Area= (a+b)/2×h
(19+25)/2*20
= _ * 440cm². *_
Answer:
440cm²
Step-by-step explanation:
I believe its right
(picture)⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
196
Step-by-step explanation:
70% multiply by 4/5(80%) which is 56%
56% times 350
dawn simplified a power correctly and came up with a value of 64. which could have been the original exponential form of the expression dawn simplified? check all that apply.
Answer:
below
Step-by-step explanation:
the second option is the only expression that came up with the value of 64
(2^6)
Answer:2,⁶ (–8)² and (–2)⁶ hope I helped. : )
Step-by-step explanation:
hi :)
can someone please help mee (20 points and i will give brainliest!!!)
Answer:
a. y-intercept:(0, -6), x-intercepts: (3, 0) and (-2, 0). vertex: (0.5, -6.25)
b. y-intercept: (0, 6), x-intercepts(3, 0) and (-2, 0). vertex: (0.5, 6.25)
Step-by-step explanation:
a:
So finding the y-intercept is really easy and is simply when x=0. If you plug in 0 as x it makes [tex]y=(0)^2-0-6[/tex] which simplifies to -6, which is the y-intercept. As for the x-intercepts you can calculate that by using the quadratic equation [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]. In this case a=1, b=-1, c=-6. So plugging those values in you get [tex]x=\frac{-(-1)\pm\sqrt{(-1)^2-4(1)(-6)}}{2(1)}[/tex], which simplifies to [tex]x=\frac{1\pm5}{2}[/tex]. This gives you the x-intercepts 6/2 and -4/2 which are 3 and -2. The vertex can be calculated by manipulating the equation so it's in the form of [tex]y=(x-h)^2+k[/tex] where (h, k) is the vertex of the parabola. This is done by moving c to the other side and then completing the square and the isolating y. So the first step will be
Move c to the other side
[tex]y+6=x^2-x[/tex]
Complete the square by adding (b/2)^2
[tex]y+6+0.25 = x^2-x+0.25[/tex]
Rewrite as square binomial
[tex]y+6.25 = (x-0.5)^2[/tex]
Isolate y
[tex]y=(x-0.50)^2-6.25[/tex]
(h, k) = 0.50, -6.25 which is the vertex
b: To identify the y-intercept you plug in 0 as x which will only leave c which in this case is 6 which is the y-intercept. (0, 6). To identify the x-intercepts you can simplify plug in the values a, b, c into the quadratic equation which was stated in the previous answer. In this case a, b, c = -1, 1, 6. Plugging these values in gives the equation [tex]y=\frac{-(1)\pm\sqrt{1^2-4(-1)(6)}}{2(-1)}[/tex]. which simplifies to [tex]x=\frac{-1\pm5}{-2}[/tex] which gives the values -2 and 3. To find the vertex it's the same process as before
Factor out -1
[tex]y=-(x^2-x-6)[/tex]
Add 6 to both sides (on the left side add -6 since -1 was factored out).
[tex]y-6=-(x^2-x)[/tex]
Complete the square by adding (b/2)^2 to both sides (add -(b/2)^2 to left side since -1 was factored out)
[tex]y-6-0.25 = -(x^2-x+0.25)[/tex]
Rewrite as square binomial
[tex]y-6.25=-(x-0.5)^2[/tex]
Add 6.25 to both sides
[tex]y=(x-0.50)^2+6.25[/tex]
(h, k) = (0.50, 6.25)
When you graph the parabolas you'll notice there just flipped relative to the x-axis. This can be deduced by simply looking at the two equations, since the two equations have the same absolute value coefficients, the signs are just different, and more specifically they're all opposite. If you took the first equation and multiplied the entire right side by -1 you would get the same equation. And since that equation really represents the value of y (since it's equal to y) you're reflecting it across the x-axis.
Answer:
a) y-intercept (0, -6); x-intercepts (3, 0) and (-2, 0); vertex (0.5, -6.25)
b) y-intercept (0, 6); x-intercepts (3, 0) and (-2, 0); vertex (0.5, 6.25)
Step-by-step explanation:
What is the difference of the polynomials?
(x² + x³ + x² + x) - (x²-x³+x²-x)
© 2x2
O 2x³+2x
O x6 +x²
O 2x5+2x²
Answer:
2x³ + 2x
Step-by-step explanation:
(x² + x³ + x² + x) - (x² - x³ + x² - x)
= x² + x³ + x² + x - x² + x³ - x² + x
Gathering like terms...
x³ + x³ +x² + x² -x² - x² + x + x
= 2x³ + 2x
The difference of the polynomials is 2(x³+x).
What is a polynomial?A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.
Given are two polynomials (x² + x³ + x² + x) and (x²-x³+x²-x), we need to find the difference,
So,
(x² + x³ + x² + x) - (x²-x³+x²-x)
= x² + x³ + x² + x - x²+x³-x²+x
= 2x²-2x²+x³+x³+x+x
= 2x³+2x
= 2(x³+x)
Hence the difference of the polynomials is 2(x³+x).
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What is the value of x?
(See attached image for details.)
Enter your answer in the box.
x = ...°
Answer:
x = 55°
Step-by-step explanation:
Hello!
The sum of angles in a triangle is 180°.
To solve for x, we have to subtract the given angles from 180°.
Solve for x180° = ∠1 + ∠2 + ∠x180° = 75° + 50° + x°180° - 75° - 50° = x°55° = x°The value of x is 55°.
Angle sum property of a triangle
Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.∠A + ∠B + ∠C = 180°
∠A = ?∠B = 75°∠C = 50°We need to find the value of ∠A
According to the angle sum property of a triangle
⇢∠A + ∠B + ∠C = 180°
⇢∠A + 75° + 50° = 180°
⇢∠A + 125° = 180°
⇢∠A = 180° - 125°
⇢∠A = 55°
What is the solution to x^3+ 4x^2>X+4?
04
O4
O4 < x < -1 or x> 1
Ox<-4 or-1
Thank yoooou!
The solution of the inequality x³ + 4x² > x + 4 will be -4 < x < -1 or x > 1. Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
x³ + 4x² > x + 4
Then the inequality can be written as
x³ + 4x² – x – 4 > 0
Then the factor will be
x²(x + 4) – 1(x + 4) > 0
(x² – 1)(x + 4) > 0
(x – 1)(x + 1)(x + 4) > 0
Then the solution will be
x – 1 > 0
x > 1
x + 1 < 0
x < -1
x + 4 > 0
x > -4
Then the correct option is C.
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30 POINTS PLEASE HURRY
Jonathan and Kevin each rewrote and evaluated the expression (SEE PICTURE BELOW) They arrived at different answers.
Answer:
B. took test
Step-by-step explanation:
Answer:
B. Jonathan is correct. Kevin made an error at step 3.
Step-by-step explanation:
Solve For x
[tex] \large \frak{5x + 15 = 30}[/tex]
Tysm!:)
[tex]\boldsymbol{5x+15=30}[/tex]
Subtract 15 from both sides.
[tex]\boldsymbol{5x=30-15 }[/tex]Subtract 15 from 30 to get 15.
[tex]\boldsymbol{5x=15 }[/tex]Divide both sides by 5.
[tex]\boldsymbol{x=\dfrac{15}{5} }[/tex]Divide 15 by 5 to get 3.
[tex]\boldsymbol{x=3 \ \ \to \ \ \ Answer}[/tex]VerificationLet x=3.
[tex]\bf{5\times3+15=30 \ \ \to \ \ \ Multiply }[/tex][tex]\bf{15+15=30 \ \ \to \ \ \ Add}[/tex][tex]\bf{30=30 \to \ The \ equality \ is \ fulfilled.}[/tex]Checked ✅
[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
What is the measure of the unknown angle?
image of a two hundred ninety seven degree angle and an unknown angle
60°
63°
64°
70°
Answer:
63
Step-by-step explanation:
A circle is 360 degrees
So, subtracting 297 from 360, we'd get 63 degrees
Graph the inequality -1 < y +5x<11
Answer:
b
Step-by-step explanation:
Given √b6.
What is the rational exponent form of this expression?
O b1/3
0 b3
O b6
O b3/2
The rational exponent form of the given expression is b³. The correct option is the second option b³
Evaluating an expressionFrom the question, we are to determine the rational exponent form of the given expression
The given expression is
[tex]\sqrt{b^{6} }[/tex]
From one of the laws of indices, we have that
[tex]\sqrt[n]{x^{m} } = x^{\frac{m}{n} }[/tex]
Thus,
[tex]\sqrt{b^{6} } = b^{\frac{6}{2} }[/tex]
= [tex]b^{3}[/tex]
∴√b⁶ = b³
Hence, the rational exponent form of the given expression is b³. The correct option is the second option b³
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how do i do this? i need to factor it conpletely with any method that goes with it
Answer:
(x-9)(x+8)
Step-by-step explanation:
Use the AC method
Find the quotient.
2^3 ÷ 5^2
Answer:
0.32
Step-by-step explanation:
2^3 = 2*2*2 = 8
5^2 = 5*5 = 25
------------------------------
8/25 = 0.32
HELPPPPP ITS AN EMERGENCY ITS MY FINAL GRADEEEEE
click on the photo
Answer:
D
Step-by-step explanation:
2 units right 1 unit down
Good luck
Answer:
(x-2, y+1)
Step-by-step explanation:
G(0, 4) -> G'(-2, 5)
H(2, 4) -> H'(0, 5,)
E(0, 2) -> E'(-2, 3)
F(-1, 2) -> F'(-3, 3)
Select the correct answer. What is the slope-intercept form of the equation of a line that passes through (5, -4) and has a slope of `3/4`? A. `y = -(3)/(4) x -(1)/(4)` B. `y = 3/4 x +(1)/(4)` C. `y = 3/4 x -(31)/(4)` D. `y = 3/4 x +(31)/(4)`
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{y = 3/4x - 7.75}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{Passes through (5, -4) with a slope of 3/4}[/tex]
Find: [tex]\textsf{The equation in slope-intercept form}[/tex]
Solution: In order to determine the equation we need to first plug the values into the point-slope form, simplify, distribute, and solve for y to get our final result.
Plug in the values
[tex]\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}[/tex][tex]\textsf{y - (-4) = 3/4(x - 5)}[/tex]Simplify the expression and distribute
[tex]\textsf{y + 4 = 3/4(x - 5)}[/tex][tex]\textsf{y + 4 = (3/4 * x) + (3/4 * -5)}[/tex][tex]\textsf{y + 4 = 3/4x - 3.75}[/tex]Subtract 4 from both sides
[tex]\textsf{y + 4 - 4 = 3/4x - 3.75 - 4}[/tex][tex]\textsf{y = 3/4x - 3.75 - 4}[/tex][tex]\textsf{y = 3/4x - 7.75}[/tex]The equation in slope-intercept form that follows the information that was provided is y = 3/4x - 7.75
