[tex]4a + {4a}^{2} [/tex]
Step-by-step explanation:
1) Remove parentheses.
[tex]2a + {5a}^{2} + 2a - {a}^{2} [/tex]
2) Collect like terms.
[tex](2a + 2a) + ( {5a}^{2} - {a}^{2} )[/tex]
3) Simplify.
[tex]4a + {4a}^{2} [/tex]
Therefor, the answer is, 4a + 4a².
Solve. You must factor first.
5x^2+ 17x+ 14=0
Please show work
Answer:
the answer is X=-3
1) 5x^2+17x+14=0
2)5x^2+17x=-14+0
3)25x+17x=-14
4)42x=-14
5)42x/-14
6)x=-3
Can someone help me solve this
And what does complementary,
supplementary,vertical,
And adjacent angles mean!?!?!
Answer:
angle 6 and 5.
complementary means 2 angles whose sum is 90° and supplementary means 2 angles whose sum is 180°. a way to remember is that is: c(from complementary) is way before s(from supplementary) in the alphabet so you know that complementary has the smaller amount. adjacent angles share the same endpoint of and angle and vertical angles are pairs of the opposite angles made by intersecting lines
A right triangle has a rise of 16 and a run of 4.
A similar right triangle with a run of 5 will have
a rise of what
Answer:
5/4
Step-by-step explanation:
Make a proportion:
16/4 = 5/x
Cross Multiply:
20 = 16x
x = 5/4
Angles 1 and 2 are complementary. If m<1 = 56°, what is the measure of <2?
Answer:
34°
Step-by-step explanation:
complementary means they equal 90° so you just have to subtract 56 from 90 and then you get your answer.
Slove the following:
Answer:
let required no be x
[tex] \frac{1}{7} = \frac{x}{42} [/tex]
by doing crisscrossed multiplication
[tex]42 \times 1 = 7 \times x[/tex]
42=7x
dividing both side by 7
[tex] \frac{42}{7} = 7x \div 7[/tex]
6=x
therefore x=6
therefore value of remaining no.is 6
Step-by-step explanation:
solution
here,
let, the required number be x
1/7=x/42
or, 42= 7x
or, x= 42/ 7
therefore, x= 6
hope this helps u...
What is the solution to the expression -2-3-(-4)?
-9
-3
-1
5
Answer:
-1
Step-by-step explanation:
−2−3−(−4)
Surface Area of 20,30,80 and combine like terms 18h + 30hk will give brainliest to correct answers
Answer:
48000 surface area and 6h(5k+3) Like Terms equation
Step-by-step explanation:
Surface Area steps
20×30×80
Multiply 20 and 30 to get 600.
600×80
Multiply 600 and 80 to get 48000.
48000
Combine Like Terms Steps
18h+30hk
Factor out 6.
6(3h+5hk)
Consider 3h+5hk. Factor out h.
h(3+5k)
Rewrite the complete factored expression.
6h(5k+3)
What is 2/5 as a decimal and percent
I need help with this If right
Answer:
14° I think sorry if its wrong this was quick one
Answer:
[tex]10^0[/tex]
Step-by-step explanation:
the sum of all angles should add to a straight line, a straight line has an angle of 180 so add 92 and 78 subtracting the total from 180
[tex]92+78=170\\180-170=10\\answer =10^0[/tex]
One number exceeds another by 8. The sum of the numbers is 46. What are the numbers?
[tex]x + x +8 = 46 \\ 2x = 46 - 8 \\ x = 48 \div 2 \\ x = 24[/tex]
What is the inequality shown?
This type of graph is called a segment.
To write the solution set which represents the graph
of a segment, read the segment from left to right.
If you take a look at the segment shown here, we would start with the endpoint on the left which is a -4, our variable x would be in the middle, and we would finish things off with the endpoint on the right, which is 5.
Since we have an open dot at -4, we use a less than sign between the -4 and the x and since we have a closed dot at 5, we use a less tan or equal to sign between the x and the 5.
It's important to understand that when representing a segment by reading it from left to right, you will only use "less than" or "less than or equal to" between the parts, never "greater than" or "greater than or equal to."
So the solution for this graph is read {x: -4 < x ≤ 5}.
Find three consecutive even integers such that the product of the first and the second is 8
greater than - 10 times the third integer.
2. Find the missing variable
(2x + 5)
(x + 9)
(3x - 2)
tomas works for a cellphone company. he has a base salary of $350 each month and earns an additional $40 for each cellphone he sells. write a function (linear equation) in slope-intercept form (y = mx + b) that represents tomas' total earnings (y) for one month for selling (x) number of cellphones.
Use the linear equation from question 1 to determine Tomas' earnings for a month where he sold 30 cellphones. *
Answer:
The function is [tex]y = 40x + 350[/tex]
When he sold 30 cellphones, he earned $1550.
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope(how much y changes when x changes by 1), and b is the y-intercept, that is, the value of w when x = 0.
Base salary of $350 each month and earns an additional $40 for each cellphone he sells.
If he sells 0 cellphones, he earns $350, so [tex]b = 350[/tex].
For each cellphone he sells, he earns $40, so [tex]m = 40[/tex]
The function is:
[tex]y = mx + b = 40x + 350[/tex]
Tomas' earnings for a month where he sold 30 cellphones.
This is y when [tex]x = 30[/tex]. So
[tex]y = 40*30 + 350 = 1550[/tex]
When he sold 30 cellphones, he earned $1550.
would this be 90? with steps please
Answer:
K so the added measure of all the angles in a rhombus should be 360 degrees so the answer is 90.
Step-by-step explanation:
i dunno how else to explain.
Which expressions are equivalent to 7(-3/4x-3)? Select two options.
Answer:
7(-3/4x-3) is the same as
7(-3/4x)-7(3) and
-5 1/4x-21
Step-by-step explanation:
Answer:
A and D
Step-by-step explanation:
got 100 on the quiz
how do you find the equation to lines or a line on a graph??
Answer:
The point on the Y goes at the end of the equation. The dimensions of the point on the Y is the slope. So Y=2/3x+6
Step-by-step explanation:
Hope this helps! :)
If f(x) = 3(x+ 5) +4/x, what is f(a+2)?
A. 3(f (a) + 5) +4/f(a)+2
B. 3(a + 7) + 4/a+2
C. 3(a + 2) + 4/a + 2
Answer:
B. 3(a + 7) + 3/(a + 2)
Step-by-step explanation:
Just substitute (a+2) in for every (x) in the equation:
f(a + 2) = 3 ((a + 2) + 5) + 4/(a+2)
= 3 (a + 7) + 4/(a+2)
What is the circumference of a circle with a radius of 3
inches? Use
3.14
Answer:
C= 18.85 if you want circumference, A= 28.27 if you want area.
Step-by-step explanation:
For circumference, you would want to multiply the radius with pi (pi x 3.14). The formula for it that you could keep in mind is, "C = 2 pi r" For area, the formula of the circle is, "A = pi r^2" or "Area equals pi r squared"
The circumference of a circle with a radius of 3 inches is 18.84 inches.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
We have to find the circumference of a circle with a radius of 3 inches.
The formula for circumference of circle is 2πr
Where r is the radius of the circle.
Given radius is 3 inches
Circumference=2π(3)
=6π
The value of π is 3.14
=6×3.14
=18.84 inches
Hence, the circumference of a circle with a radius of 3 inches is 18.84 inches.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ2
PLEASE HELP answer this and explain will mark brainliest
Answer:
7.
a) n + 1 represents the next larger integer
b) n + n + 1 + n + 2 + n + 3
c) s = n + n + 1 + n + 2 + n + 3
d) n = [tex]\frac{s-6}{4}[/tex]
e) n = 2174 - 6 / 4 = 2168 / 4 = 542
Step-by-step explanation:
Could you help with this question?
(X-2)= -5.5
Answer:
-3.5 i believe
Step-by-step explanation:
Answer : X=-3.5
Step-by-step explanation:
Help me pls pls pls
Answer:
J
Step-by-step explanation:
Multiply each term in the parentheses by 4.After that you will multiply the numbers and get *4y+8*
Which equation represents the relationship between the x-values and the y-values in the table?
Answer:
y = 10x + 5
Step-by-step explanation:
Remember when x = 0 that is when you get your y-intercept. So when you look at the chart you can see that your answer has to have a +5 so now you are down to only to answers.
Now slope is the change of Y over the change of X , so 5 to 55 is 50
and 0 to 5 is 5
[tex]\frac{y}{x}[/tex]=[tex]\frac{50}{5}[/tex] and that equals 10
put both parts together and
y = 10x + 5
Evaluate the function, f(m)=4+2.5m, when m=3
Answer:
11.5
Step-by-step explanation:
its up there
Simplify 9р – 2р +р
Answer:
8P
Step-by-step explanation:
Answer:
8p
Step-by-step explanation:
9р – 2р +р
7p+p
8p
At a store,a basketball has been discounted 20% off the regular price. The sale is $15 .What was the original price of the basketball? Show your work and explain your answer.
Answer:
$18
Step-by-step explanation:
Since there was a 20% discount all we have to do is add 20% to the sale price.
15 increase 20% =
15 × (1 + 20%) = 15 × (1 + 0.2) = 18
can you help me with this
Answer:
85
Step-by-step explanation:
180-(67+28)
180-95
85
please mark brainliest
APPLICATION
3. Use the first principle of derivatives to determine the equation of tangent to the
curve y = 1/radical7x at
x = 5
Answer:
[tex]\displaystyle y - \frac{\sqrt{35}}{35} = \frac{-\sqrt{35}}{350}(x - 5)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Coordinates (x, y)
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinatey₁ - y coordinatem - slopeAlgebra II
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
The definition of a derivative is the slope of the tangent line.Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Chain Rule: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \frac{1}{\sqrt{7x}} \\x = 5[/tex]
Step 2: Differentiate
[Function] Rewrite: [tex]\displaystyle y = \frac{1}{(7x)^\frac{1}{2}}[/tex][Function] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y = (7x)^{-\frac{1}{2}}[/tex][Derivative] Chain Rule [Function]: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{1}{2} - 1} \cdot \frac{d}{dx}[7x][/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{3}{2}} \cdot \frac{d}{dx}[7x][/tex][Derivative] Basic Power Rule: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{3}{2}} \cdot 1 \cdot 7x^{1 - 1}[/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{-7}{2}(7x)^{-\frac{3}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{-7}{2(7x)^{\frac{3}{2}}}[/tex]Step 3: Find Slope of Tangent Line
Substitute in x [Derivative]: [tex]\displaystyle y'(5) = \frac{-7}{2[7(5)]^{\frac{3}{2}}}[/tex][Tangent Slope] [Brackets] Multiply: [tex]\displaystyle y'(5) = \frac{-7}{2[35]^{\frac{3}{2}}}[/tex][Tangent Slope] Evaluate exponents: [tex]\displaystyle y'(5) = \frac{-7}{2(35\sqrt{35})}[/tex][Tangent Slope] Multiply: [tex]\displaystyle y'(5) = \frac{-7}{70\sqrt{35}}[/tex][Tangent Slope] Simplify: [tex]\displaystyle y'(5) = \frac{-1}{10\sqrt{35}}[/tex][Tangent Slope] Rationalize: [tex]\displaystyle y'(5) = \frac{-\sqrt{35}}{350}[/tex]Step 4: Find Tangent Line Equation
Point (x, y)
Substitute in x [Function]: [tex]\displaystyle y(5) = \frac{1}{\sqrt{7(5)}}[/tex][Function] [√Radical] Multiply: [tex]\displaystyle y(5) = \frac{1}{\sqrt{35}}[/tex][Function] Rationalize: [tex]\displaystyle y(5) = \frac{\sqrt{35}}{35}[/tex]Define point: [tex]\displaystyle (5, \frac{\sqrt{35}}{35})[/tex]Equation
Substitute in variables [Point-Slope Form]: [tex]\displaystyle y - \frac{\sqrt{35}}{35} = \frac{-\sqrt{35}}{350}(x - 5)[/tex]Topic: AP Calculus AB/BC
Unit: Derivatives
Book: College Calculus 10e
Determine the price of a $35 basketball that is on sale for 50% off the regular price.
Answer:
$17.5
Step-by-step explanation:
50 is 1/2 of 100, so just divide 35 by 1/2
Please help ASAP ......
Answer:
Closed 11 shaded to the right
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
X is equal to or greater than 12