Answer:
A. 150 miles
B. 200 miles further
Step-by-step explanation:
Multiply 30 by 5 to find how far he traveled the first day
30 x 5 = 150 miles
For the second day, convert km to miles by making a proportion
[tex]\frac{5}{8}[/tex] = [tex]\frac{x}{560}[/tex]
x = 350 miles
Then, to find the difference, subtract the 350 - 150 = 200
What is the equation of a line passing through (-3, 7) and having a slope of -1 ?
5
O A.
y = -5x + 22
OB. y= 5x + 22
O C.
1 32
yaX+
5 5
32
y = --X+
5 5
OD
1
O E.
y ---X+
x + 22
Answer:
Using the information given, we can use the point-slope form:
y - y1 = m(x - x1)
y - 7 = -1(x + 3)
y - 7 = -x - 3
+7 +7
y = -x + 4, this is slope-intercept form
x + y = 4, this is standard form
A circular rug has a radius of 10 feet. What is the area of the rug? Use 3.14 for π.
Enter your answer
Answer:
A=314 feet
Step-by-step explanation:
[tex]A=\pi r^{2}[/tex]
[tex]A=3.14*10^{2}[/tex]
[tex]A=3.14*100[/tex]
[tex]A=314 feet[/tex]
Which expression can be used to find 38 percent of 22?
Answer:
[tex]0.38 \times 22[/tex]
Step-by-step explanation:
The correct expression used to find 38 percent of 22 is
[tex]0.38 \times 22[/tex]
The graph shown is a scatter plot:
Which point on the scatter plot is an outlier?
Point S
Point T
Point U
Point V
Answer:
B
Step-by-step explanation:
I am not good at math, but I know because it's basically out and not with the other dots lol.
Which of these choices are quadratic equations? Check all that apply.
A. 2x – 1 = 0
B. 2x2 - 1 = 0
C. 2x2 - 1
D. 3x2 + 5x - 1 = 0
E. x - x² +5=0
F. - 4x2 + x = 0
Answer:
Quadratic Equations ⇒ D, E, F
Step-by-step explanation:
Let us say that each of these equations can only be defined as a quadratic equation if it can be factored / solved through completing the square / application of quadratic formula as solve for the value of x;
[tex]A. 2x - 1 = 0, Add + 1 to either side,\\2x = 1, Divide sides by 2,\\x = 1 / 2 ; Not Quadratic Equation[/tex]
[tex]B. 2x^2 - 1 = 0, Add + 1 to either side,\\2x^2 = 1, Divide sides by 2,\\x^2 = 2, Take | | of x, \sqrt{x} - either side \\\| x | = \sqrt{1 / 2},\\x = \sqrt{1 / 2} = - \sqrt{1 / 2} ; NotQuadraticEquation[/tex]
[tex]C. 2x^2 - 1, NotInForm - ax^2 + bx + x = 0 ; NotQuadraticEquation[/tex]
[tex]D. 3x^2 + 5x - 1 = 0, Add 1 to either side,\\3x^2 + 5x = 1, Divide sides by 3,\\x^2 + 5x / 3 = 1 / 3, Solve for a,\\2ax = 5 / 3x, Divide sides by 2x,\\a = 5 / 6, Add a^2 - ( 5 / 6 )^2 to either side,\\x^2 + ( 5x / 3 )^2 + ( 5 / 6 )^2 = 1 / 3 + ( 5 / 6 )^2, simplify,\\( x + 5 / 6 )^2 = 37 / 36, solve for x,\\x = ( \sqrt{37} - 5 ) / 6 = ( - \sqrt{37} - 5 ) / 6 ; QuadraticEquation[/tex]
[tex]E. x - x^2 + 5 = 0, Similar Form ; QuadraticEquation\\[/tex]
[tex]F. - 4x^2 + x = 0, Factor the Expression,\\- x * ( 4x - 1 ) = 0, Apply Zero Product Property,\\x = 0, and, 4x - 1 = 0,\\x = 0 = 1 / 4 ; QuadraticEquation[/tex]
The quadratic equations are:
2x² - 1 = 0
2x² - 1
3x² + 5x - 1 = 0
x - x² +5 = 0
-4x² + x = 0
Options B, C, D, E and F are the correct answer.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
A polynomial with degree 2 is called a quadratic equation.
A.
2x – 1 = 0
This is not a degree 2 equation.
B.
2x² - 1 = 0
This has degree 2.
C.
2x² - 1
This has degree 2.
D.
3x² + 5x - 1 = 0
This has degree 2.
E.
x - x² +5 = 0
-x² + x + 5 = 0
This has degree 2.
F.
- 4x² + x = 0
This has degree 2.
Thus,
B, C, D, E, and F are quadratic equations.
Learn more about polynomials here:
https://brainly.com/question/2284746
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The dimensions of a box are x, 2x, and 3x. Each dimension is increased by 3. Calculate the volume of the box.
Answer:
The volume of the box would be 6x³+33x²+54x+27.
Step-by-step explanation:
The new dimensions of the box would be (x+3), (2x+3), and (3x+3). Since the volume of a rectangular prism are calculated by multiplying the length, width, and depth, we can just multiply all three of these dimensions together to come up with the answer.
Using foil on the first two terms originally you get (x+3)×(2x+3)= 2x²+3x+6x+9 which can be simplified to 2x²+9x+9.
Then you multiply this equation by (3x+3). (2x²+9x+9)×(3x+3)= 6x³+6x²+27x²+27x+27x+27 which can be simplified to 6x³+33x²+54x+27.
Answer:
6x³+33x²+54x+27
Step-by-step explanation:
dimensions are now:
x+3, 2x+3, 3x+3
Volume
V=lwhV= (x+3)(2x+3)(3x+3)= 3(x+1)(x+3)(2x+3)= 3( x² + 4x+3)(2x+3)= 3(2x³+11x²+18x+9)=6x³+33x²+54x+27What is the solutions for x in the equation -2x+14+10x=34
Answer:
x=2.5
Step-by-step explanation:
Put the like terms together, like so:
10x-2x=34-14
The result is this:
8x=20
Simplify to get:
x=2.5
Answer:
x= 2 1/2 or x=2.5
????????????????????
Answer:
A) DEBBIE: 1p+4t=29
B) JOEY: 5p+2t=28
Step-by-step explanation:
Emma needs 40 pieces of string to wrap presents. Each piece of string is 7.5 inches. If the ribbon is only available in feet, how many feet of ribbon does Emma need?
Answer:
2635*'fhhdgjvsvaksgwksygwi at gwjsksgeieh egg ejei
What is the slope of the line that passes through the points (-8, -3) and
(-12, -3)? Write your answer in simplest form.
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8, - 3) and (x₂, y₂ ) = (- 12, - 3)
m = [tex]\frac{-3+3}{-12+8}[/tex] = [tex]\frac{0}{-4}[/tex] = 0
Slope is rise per run. Rise is difference of y ordinates and run is difference of corresponding x abscissa.
The slope of the line that passes through the given points is 0
Given that:The two specified points are: (-8,-3), and (-12, -3)To find:
Slope of the line that passes through given points.
In graphing, we use Cartesian plane and assume y axis to be perpendicular and mostly we take height or depth related stuffs on y axis, that's why y ordinates will be considered to calculate the rise and x axis is like flat ground, thus x abscissa will be used to calculate the run.
Let the points' coordinates are denoted by symbols as:
[tex](x_1, y_1) = (-8,-3)\\ (x_2, y_2) = (-12, -3)\\ [/tex]
[tex]slope = \dfrac{rise}{run} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{(-3) - (-3)}{(-12)-(-8)} = \dfrac{0}{-4} = 0[/tex]
Slope is zero means you run whatever, the rise is 0, which means the line is not going to rise and stay flat (horizontal).
Learn more about slope of straight lines here:
https://brainly.com/question/1892775
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Answer:
x^2+6x+9
Step-by-step explanation:
x^2 +6x
Take the coefficient of x
6
Divide by 2
6/2 = 3
Square it
3^2 = 9
Add 9 to each side
x^2+6x+9
Emma spent $21.23 on two thousand bagels and a gallon of iced tea the price of the gallon of iced tea with $5.25 the following equation can be used to find d the price of the each dozen of bagels
Answer:
$21.23 - $5.25 = d
Step-by-step explanation:
Lliana started to evaluate the function f(x)=2x^2-3x+7 for the input value 2. What is the value of the function when x=2?
Answer:it is 9 because you subtract 6 from the 8 and then you add 2 and 7 to get 9
Step-by-step explanation:
Question 1 (1 point)
What is the solution set to the equation x+1=2
Question 2 (1 point)
Consider the equation x +1 = 2.
Rewrite the equation by multiplying both sides by x +1
DO NOT USE A MULTIPLICATION SYMBOL
Question 3 (1 point)
Solve the equation for
5(2x - 4) - 11 = 4 + 3x
please answer all if possible. Thanks
Answer:
See below
Step-by-step explanation:
1) x=2-1
x=1
2) (x+1)(x+1)=2(x+1)
3) 10x-20 -11 = 4+3x
10x-3x=20+11+4
7x=35
x=5
Find the value of n 5^10 ÷ 5^8=(1/5)^n
Answer:
5^10 / 5^8 = 5^2 = 25 so the equation becomes 25 = (1/5) ^ n. This means that n = -2.
Answer:
[tex]n=-2[/tex]
Step-by-step explanation:
[tex]\frac{5^{10}}{5^8}=(\frac{1}{5})^n[/tex]
Use the law of exponents.
[tex]5^{10-8}=\left(\frac{1}{5}\right)^n[/tex]
1/5 can be written with a base of 5.
[tex]5^{10-8}=\left(5^{-1}\right)^n[/tex]
Cancel the base 5 on both sides.
[tex]10-8=-1\times \:n[/tex]
[tex]2=-n[/tex]
Multiply both sides with -1.
[tex]n=-2[/tex]
How many solutions is this 2x+8=-2x+8
Answer:
Step-by-step explanation:
4x + 8 = 8
4x = 0
x = 0
onw
Answer:
One solution x=0
Step-by-step explanation:
2x+8=-2x+8
Add 2x to each side
2x+2x+8=-2x+2x+8
4x+8=8
Subtract 8 from each side
4x+8-8=8-8
4x = 0
x=0
There is one solution
x=0
PLZZZ HELPP 3+7 - 1/2 is an example of A. a numerical equation B. an algebraic equation C. a numerical expression D. an algebraic expression
Answer:
A. a numerical equation
Step-by-step explanation:
determine the kinetic energy of 745-kg roller coaster car that is moving with a speed of 14.9 m/s
Answer:
≈82698.73 kg m²/s
Step-by-step explanation:
K.E.=1/2mv²=1/2×745×14.9²=82698.725 kg m²/s
if p(x) = x^99 + 99 , then find p(1)
Answer:
p(1)=100
Step-by-step explanation:
p(1) just means "substitute the value (1) in for (x) in the equation"
So,
[tex]1^{99}[/tex]+99= 100
(1 to any power is always equal to 1, including 0)
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
The discriminant is 0
That means there is one real zero
Step-by-step explanation:
3x^2 + 24x + 48
This in the form
ax^2 +bx+c
a=3 b=24 c = 48
The discriminant is
b^2 - 4ac
24^2 - 4(3)(48)
576-576
0
The discriminant is zero
That means there is one real zero
Verticle angles must have ?
Answer: Verticals angles are when 2 line intersect at a point forms 2 pairs of angles. The pairs will be opposite of each other.
The picture I have attached should give a good representation of what I mean.
The A angles are the same and the B angles are the same in the picture.
Evaluate the expression for p = 4.
p^2=
4^2 = 4 * 4.
4 * 4 = 16.
Therefore, p ^2 = 16.
Answer:
16
Step-by-step explanation:
i showed the work in the picture above
Which of the following describes the translation of the graph of y=x? to obtain the graph of y=-x2+3?
reflect over the x-axis and shift right 3
o reflect over the x-axts and shift up 3
reflect over the y-axis and shift down 3
Answer:
Reflect over the x-axis and shift up 3.
Answer:
Reflect over the x-axis and shift up 3
Step-by-step explanation:
Please answer correctly !!!!!! Will mark brianliest !!!!!!!!!!!
Answer: 2
Step-by-step explanation:
Find the value of x in the triangle shown below
Answer:
28°
Step-by-step explanation:
every Triangle equals to 180°
85+67=152
180-152=28
Which of the following choices evaluates -2x2 + 4x, when x = -2?
Answer:
x = -2
-2(-2^2) + 4(-2)
-2(4) + -8
-8 + -8Answer = -16 is the answer.What Is the fraction 2/8+4/8
Answer:
6/8 which simplifies to 3/4
Step-by-step explanation:
2/8 + 4/8
Since the denominator is the same, we can just add the numerators
2+4 =6
6/8
Simplifying the fraction by dividing the top and bottom by 2
3/4
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
et's solve your equation step-by-step.
(x+3)2−1=35
Step 1: Simplify both sides of the equation.
x2+6x+8=35
Step 2: Subtract 35 from both sides.
x2+6x+8−35=35−35
x2+6x−27=0
Step 3: Factor left side of equation.
(x−3)(x+9)=0
Step 4: Set factors equal to 0.
x−3=0 or x+9=0
x=3 or x=−9
Answer:
x=3 or x=−9
Answer:
Add 1 to each side
Take the square root of each side
Subtract 3 from each side
Step-by-step explanation:
(x+3)^2 -1 = 35
Add 1 to each side
(x+3)^2 -1+1 = 35+1
(x+3)^2 = 36
Take the square root of each side
sqrt ((x+3)^2) =±sqrt (36)
x+3 = ±6
Subtract 3 from each side
x+3-3 = -3±6
x = -3±6
x = -3+6 x = -3-6
x = 3 x = -9
For which x is f(x)?=-3
Answer:
[tex]-7[/tex]
Step-by-step explanation:
[tex]f(-3)=-7[/tex]
Alina and Skyla are both solving the equation 2x = 128.
Alina knows the solution to the equation because she knows a power of 2 that equals 128.
Skyla does not know a power of 2 that equals 128, so she graphs two equations, y = 2x and y = 128.
Use the drop-down menus to complete the explanation about how Skyla can use her graph to solve the equation 2x = 128.
Answer:
Skyla looks for the x-value at which the graph of the function [tex]2^x[/tex] intersects the horizontal line defined by the constant function: [tex]f(x)=128[/tex]
Step-by-step explanation:
Look for an answer that involves something like:
By looking for the point where both functions intersect, Skyla can find for which x value the following equation is verified: [tex]2^x=128[/tex]
She must read at which x-value the intersection occurs, and that is the answer.
Answer: Intersect at (7,128) and x=7
Step-by-step explanation: