Answer:
x= -3, x = 1
Step-by-step explanation:
Zeros are values of x, when f(x) = 0.
0=(x+3)(x-1)
x+3 = 0, x - 1=0
x= -3, x = 1
Answer:
x = -3, x = 1
Step-by-step explanation:
To determine the zeroes of the factored quadratic equation, we need to look back at its definition. The zeroes are a function are specific x-values that result in a y-value of 0.
In this case, we want the numbers inside of the parantheses to equal 0. If we substitute in x = -3, we get (0)(x - 1), and we know that is just 0. Similarly, if we substitute in x = 1, we get (x + 3)(0), and we know that is just 0.
As such, these are your solutions.
If a ray _______ an angle of a triangle, it divides the opposite side into segments proportional to the lengths of the other two sides. An angle bisector divides an angle into two _______ halves. A perpendicular bisector is the line perpendicular to a segment passing through the segment’s _______.
Answer:
bisects, equal, midpoint
Step-by-step explanation:
According to the "Angle Bisector" Theorem, an angle bisector of a triangle divides the opposite side into segments proportional to the lengths of the other two sides of the triangle.
If a ray bisects an angle of a triangle, it divides the opposite side into segments proportional to the lengths of the other two sides. An angle bisector divides an angle into two equal halves. A perpendicular bisector is the line perpendicular to a segment passing through the segment’s midpoint.
Find the volume of a right circular cone that has a height of 18.8 inches and a base with a diameter of 14.3 inches. Round answer to the nearest tenth of a cubic inch.
Answer:
The volume of the right circular cone is [tex]1005.9\ \text{inch}^2[/tex].
Step-by-step explanation:
It is given that,
Height of a right circular cone is 18.8 inches and its diameter is 14.3 inches. We need to find the volume of the cone. The volume of cone is
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]
So,
[tex]V=\dfrac{1}{3}\times 3.14\times (\dfrac{14.3}{2})^2\times 18.8\\\\V=1005.9\ \text{inch}^2[/tex]
So, the volume of the right circular cone is [tex]1005.9\ \text{inch}^2[/tex].
Answer:1006.5
Step-by-step explanation:
Which of the following options have the same value as %70, percent of 80?
Answer:
A, C and E.
Step-by-step explanation:
[tex]70 \% \times 80[/tex]
[tex]70/100 \times 80[/tex]
[tex]560/10[/tex]
[tex]=56[/tex]
[tex]0.7 \times 80[/tex]
[tex]=56[/tex]
[tex]7/10 \times 80[/tex]
[tex]=56[/tex]
please help me with math
Answer:
6. composite figure
7. 60+432=492
Hodel just got her driver's license. Her parents offer her two options. 1. They'll buy her a used car that will cost her $0.50 per mile in gas and maintenance fees. 2. They'll buy her a new hybrid car but she'll have to contribute $5,000 to the cost. The new car will then cost her an additional $0.10 per mile in gas and maintenance fees. If she plans to keep the car until she graduates from college in six years and she intends to drive it 10,000 miles each year, which option will cost her less?
Answer:
The second option will cost her less than the first one.
Step-by-step explanation:
In order to solve this problem we will create two functions to represent the cost of the car in function of the miles drove by her.
For the first option we have:
[tex]cost_1(x) = 0.5*x[/tex]
For the second option we have:
[tex]cost_2(x) = 5000 + 0.1*x[/tex]
Since she intends to drive it for 10,000 miles per year for 6 years, then the total mileage she intends to drive her car is 60,000 miles. Applying this to the formula of each car and we have:
[tex]cost_1(60000) = 0.5*60000 = 30000[/tex]
[tex]cost_2(60000) = 5000 + 60000*0.1 = 11000[/tex]
The second option will cost her less than the first one.
Jack picked 60Apples from an apple tree he uses 12 of them to make applesauce replaces the remaining apples equally into six gift basket which equation can be used to determine the number of Apples place is in to each gift basket?
Answer
60 apples minus how many she picked (12) or 60-12 divided by 6 baskets. The answer will be 60-12=48. 48 divided by 6 equals 8. The ANSWER IS 8
Step-by-step explanation:
The formula used to calculate how many apples should be included in each gift basket is as follows:
6x = 48
What are permutation and combination?A permutation is an orderly arrangement of things or numbers. Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.
Jack has 48 apples left after using 12 of the 60 apples he took from the tree to make applesauce.
The leftover apples will be distributed equally among six gift baskets, he said. He puts x apples in each present basket, where x is the number of apples. Then he adds six times as many apples to each of the six gift baskets.
He has to fill the gift baskets with 48 apples, thus we can create an equation:
6x = 48
We may divide both sides of the equation by 6 after finding the value of x:
x = 8
Hence, Jack needs to fill each of the six gift baskets with 8 apples.
Learn more about Permutation and combination here:
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What is the exact value of sin(5π/12)?
(please give steps)
Answer:
0.966053748
Step-by-step explanation:
[tex] \sin \bigg( \frac{5\pi}{12} \bigg) \\ = \sin \bigg( \frac{5 \times 180 \degree}{12} \bigg) \\ = \sin ( 5 \times 15 \degree) \\ = \sin ( 75 \degree) \\ = \sin ( 45 \degree + 30 \degree) \\ = \sin 45 \degree \times \cos 30 \degree + \cos 45 \degree \times \sin 30 \degree \\ \\ = \frac{1}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2} + \frac{1}{ \sqrt{2} } \times \frac{1}{2} \\ \\ = \frac{ \sqrt{3} }{2 \sqrt{2} } + \frac{1}{2 \sqrt{2} } \\ \\ = \frac{ \sqrt{3} + 1}{2 \sqrt{2} } \\ \\ = \frac{1.732 + 1}{2 \times 1.414} \\ \\ = \frac{2.732}{2.828} \\ \\ = 0.966053748[/tex]
Please help
Destiny wants to purchase a handbag that is on sale. The regular price is $175 but the discount is currently $20 dollars an item. What will the sales price be?
Answer:
the
Step-by-step explanation:
sale would be $20 for every item, duh
Which is the graph of f(x) = + (4)?
Answer:
Step-by-step explanation:
The graph of f(x) = + (4) is the same as that of g(x) = 4; it's a constant function defined for all x values but its range is just one number: 4.
Write a phrase for the algebraic expression:
s +7
There are many possible answers for this.
One example is below.
S = the number of stations included when a person orders basic cable, write an expression for the number of stations a person has if he ordered basic cable and 7 premium channels.
We can represent this as s + 7.
The value that we don't know is the number of
stations included when a person orders basic cable.
So we can represent that as s.
Then, since the person ordered 7 premium channels, that means he
is adding an additional 7 channels to his basic cable plan.
So we can represent this as s + 7.
Answer:
a number plus 7
Step-by-step explanation:
s+7
Let s represent an unknown number
a number plus 7
If the length of AC equals 50, what is the length of the midsegment DE?
Answer:
Length of DE is 25.
Step-by-step explanation:
Right, so this is something called midsegment theorem. ΔDBE is similar (but not congruent) to ΔABC because of the angles they share. Since DE is described as a midsegment, this means BE=EC and BD=DA; so ΔDBE is half the size of ΔABC, meaning its side lengths are also half that of the larger triangle.
(Sorry if this information was unnecessary. Just got an answer deleted because I wasn't detailed enough.)
Over what interval is the function in this graph increasing?
Answer:
B. -4 ≤ x ≤ 1.
Step-by-step explanation:
The function is increasing when the slope of the line is rising to the right.
Each division on the x axis has a value of 2
what is the equation of the line of best fit for the following data (4,3) (6,4) (8,9) (11,12) (13,17)
Answer:
The table of data is shown below
The equation of line best fit is given in the form y=mx+b
to find the slope 'm', follow these steps:
STEP 1
Mean (X) = \frac{4+6+8+13+11}{5}=8.4
Mean(Y)= \frac{17+12+9+4+3}{5}=9
STEP 2
Refer to Picture 2 and Picture 3 for the working out of ( x_{i} -mean(X)) and ( y_{i} -mean(Y))
( x_{i}-X)( y_{i}-Y) =(-4.4)(8)+(-2.4)(3)+(-0.4)(0)+(2.6)(-5)+(4.6)(-6)
( x_{i}-X)( y_{i}-Y) =(-35.2)+(-7.2)+0+(-13)+(-27.6)=-83
STEP 3:
( x_{i}-X) ^{2} = (-4.4)^{2}+ (-2.4)^{2}+ (-0.4)^{2}+ (2.6)^{2}+ (4.6)^{2}=53.2
STEP 4:
To find slope, divide answer in STEP 2 by the answer in STEP 3
m= \frac{-83}{53.2} =-1.56
STEP 5:
b=Mean(Y)-[slope*mean(X)]
b=9-(-1.56*8.4)=22.105
We have the slope, m=-1.56 and y-intercept of 22.105
The equation of line is
y=22.105-1.560x
Correct answer: Last statement
Step-by-step explanation:
A house valued at £210,000 correct to 2 significant figures. A) What is the lowest value of the house? B) What is the highest value of the house?
Answer:
Range could be 205000 to 214999. Any number in this range, when rounded to two signnificant digits will yield 210000.
The upper-left coordinates on a rectangle are (-8,8)(−8,8)left parenthesis, minus, 8, comma, 8, right parenthesis, and the upper-right coordinates are (-3,8)(−3,8)left parenthesis, minus, 3, comma, 8, right parenthesis. The rectangle has an area of 151515 square units.
Draw the rectangle on the coordinate plane below.
Answer:
The other two co-ordinates are (-3, 5) and (-8, 5).
Step-by-step explanation:
Consider the rectangle ABCD.
A = upper-left coordinates = (-8, 8)
B = upper-right coordinates = (-3, 8)
C = lower-left coordinates
D = lower-right coordinates
Let the side AB form the length of the rectangle.
Compute the distance between the points A and B as follows:
[tex]AB=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]=\sqrt{(-3+8)^{2}+(8-8)^{2}}\\=\sqrt{(5)^{2}}\\=5[/tex]
The length of the rectangle ABCD is 5 units.
The are of ABCD is given as 15 square units.
Compute the breadth of the rectangle as follows:
[tex]\text{Area}=\text{l}\times\text{b}\\15=5\times\text{b}\\b=3[/tex]
So, the breadth of the rectangle is 3 units.
Then from point B, 3 units below would be (-3, 5).
And from point A, 3 units below would be (-8, 5).
The rectangle on the coordinate plane is attached below.
Answer: look downer
Step-by-step explanation: The other answer makes no sense, so here is a better view.
The line AB has midpoint (2, 5).
A has coordinates (1, 7).
Find the coordinates of B.
Answer:
(3,3)
Step-by-step explanation:
Answer:
(3,3)
Step-by-step explanation:
To find the midpoint add the x coordinates together and divide by 2
(1+ xb)/2 = 2
1+ xb = 4
xb = 4-1
xb =3
To find the midpoint add the y coordinates together and divide by 2
(7+ yb)/2 = 5
7+ yb = 10
yb = 10-7
yb =3
Solve for m.
m − 10 + 6m = 10 + 2m
m =
Answer:
m = 4
Step-by-step explanation:
m−10+6m=10+2m
7m-10=10+2m
Subtract 2m from both sides
5m-10=10
Add 10 to both sides
5m=20
Divide both sides by 5
m=4
Answer:
m=4
Step-by-step explanation:
m − 10 + 6m = 10 + 2m
7m - 10 = 10 + 2m (subtract 2m from both sides)
7m - 10 - 2m = 10
5m - 10 = 10 (add 10 to both sides)
5m = 10 + 10
5m = 20 (divide both sides by 5)
m = 20/5
m = 4
If mike reads 50 pages an hour how long would it take him to read 1225 pages
What is the value of this expression when a = 7 and b = -4? | 2a | - b/3 A.) -6 B.) -3 1/3 C.) 3 1/3 D.) 6
The answer to the question what is the value of this expression when a = 7 and b = -4? | 2a | - b/3 it is D.) 6
The value of this expression (|2a| - b)/3 when a = 7 and b = -4 is 6. So, option D is correct.
What is the modulus function?The absolute value of a number or variable is returned by a modulus function. It is defined as
|x| = x, x > 0
= -x, x < 0
= 0, x = 0
How to solve this problem?The given expression is (|2a| - b)/3. Here, we have to put a = 7 and b = -4 to get the value.
Now, (|2a| - b)/3 = (|2×7| - (-4))/3 = (|14| + 4)/3 = (14 + 4)/3 [Since 14 is a positive integer]
i.e. (|2a| - b)/3 = 18/3 = 6
Therefore, the value of this expression (|2a| - b)/3 when a = 7 and b = -4 is 6. So, option D is correct.
Learn more about the modulus function here -
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A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $ 31,905 . The variable costs will be $ 8.50 per book. The publisher will sell the finished product to bookstores at a price of $ 19.75 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answer:
Step-by-step explanation:
Let x = no. of books
:
Cost = 12.50x + 54150
:
Revenue = 25x
:
Rev = cost
25x = 12.5x + 54150
25x - 12.50x = 54150
12.5x = 54150
x = 54150%2F12.5
x = 4332 books need to be sold to cover production costs
:
:
Check:
c = 12.50(4332) + 54150
c = 54150 + 54150
c = 108300
:
r = 25(4332)
r = 108300
I want to know what is 600 minutes to days
Answer:
Not even a whole day. To be exact, it is .416667 of a day
Step-by-step explanation:
Since 60 minutes are in 1 hour, than 600 minutes would be 10 hours.
24 hours in a day, so you are 14 hours short, about 840 minutes.
Answer:
~0.42 days
Step-by-step explanation:
60 minutes in one hour
60 times 24 = 1440 minutes in a day
600 minutes divided by 1440 = 0.4166666667...
Rounded up to 0.42
technically not a whole day but yeah
Brainliest question please help me please
Answer:47 units
Step-by-step explanation:Gay
Simplify
2 * (3 - 1) + 3
7
8.
10
11
Answer:
7.
Step-by-step explanation:
Follow the order of operations.
We do the operation in the bracket first. So we are left with:
2 * (2) + 3
We multiply before we add, so:
4 + 3.
Finally, we add.
7.
I hope this helps!
Find all solutions for a triangle with C = 130°, c = 17, and b = 5. Round to the nearest tenth.
a.A= 37.0°, B = 15.0°, a = 15.2
c.A = 37.0°, B = 13.0°, a = 13.4
b. A= 35.0°, B = 13.0°; a = 15.4
d no solutions
Answer:
C
Step-by-step explanation:
Use sine rule
17/sin130=5/sinB
(5×sin130)÷17=sinB
sinB=0.2253017892
B=sin^-1ans above
=13.4
A=(130+13) subtracted from 180=37°
a/sin37=17/sin130
=13.4
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
smaller r = ( 6.5 , 0)
larger r = ( 21.5 , 0)
vertex = ( 14, -56.25)
Step-by-step explanation:
f(r) = (r -14)² -56.25 square (r-14)
f(r) = r² -28r +196 -56.25 simplify
f(r) = r² -28r + 139.75
use quadratic formula
x=−b±√(b²−4ac)/ 2a
a = 1, b =-28, c = 139.75
x=−(−28)±√(−28)2−4(1)(139.75)2(1)
x=(28±√225)/2
x=43/2 or x=13/2
or 21.5 and 6.5
This parabola is given in vertex form f (r) = a(r - h)² + k, where (h, k) is the vertex of the parabola so just write the given numbers ( 14, -56.25)
What is the factorization of the polynomial below?
- x2 - 15x - 56
A. (X + 8)(x + 7)
B. (x+3)(x - 7)
C. -1(x+8)(x + 7)
D. (-x+3)(x-7)
Answer:
C
Step-by-step explanation:
When you multiply -1(x+8)(x+7)
(-x-8)(x+7)
-x(x+7)-8(x+7)
[tex]-x^{2}-15x-56[/tex]
pls help for brainliest
Answer:
70cm2
Please mark
Step-by-step explanation:
Answer:
396 cm²
Step-by-step explanation:
The figure is composed of 2 rectangles.
The vertical rectangle on the left has area (A) calculated as
A = 27 × 10 = 270 cm²
The horizontal rectangle on the right has area (A) calculated as
A = 9 × (24 - 10) = 9 × 14 = 126 cm²
Thus area of figure = 270 + 126 = 396 cm²
Find Sn for the given arithmetic series.
01 = -40, d = -7, n = 22
Answer:
[tex]\large \boxed{-187}[/tex]
Step-by-step explanation:
The formula for the sum of n terms of an arithmetic sequence is
aₙ = a₁ + (n-1)d
If a₁ = -40, d = -7, and n = 22
[tex]\begin{array}{rcl}S_{22} & = & -40 + (22 - 1)(-7)\\& = &-40 + 21(-7)\\& = & -40 - 147\\& = & \mathbf{-187}\\\end{array}\\ \text{The sum of the first 22 terms is $\large \boxed{\mathbf{-187}}$}[/tex]
Zak paid 450 dorllarsfor a motor at discount of 10% find the actual selling price of the motor I need it ASAP
Answer:
hey. Answer is $495 as the actual price of the motor without discount.
Step-by-step explanation:
So you would multiply 450 by .10 and you get 45. So he got $45 off. Then add 450 to 45. Yoy get $495!
A virus is spreading around Summerfield. At the moment, 800 people are infected. If the virus is spreading at a rate of 15% each day, how many people in all will have caught the virus in 12 days? Write an equation to
represent the situation. *
A y=800(0.85)^12
B y=800(0.15)^12
C y=800(1.15)^12
D y=0.85(800)^12
E y=0.15(800)^12
F y=1.15(800)^12
G y=(0.85•800)^12
H y=(0.15•800)^12
I y=(1.15•800)^12
Answer:
C y=800(1.15)^12
Step-by-step explanation:
