Answers
Answer:
y =x^2 +8x +15
factories form
y =( x+5 )( x+3 )
x intercept where the graph meet the x axis
y = x^2 +8x +15
let y =0
0 = x^2 +8x +15
0 = ( x + 5) (x+3)
o = x+5 or 0 = x+3
-5 = x or x = - 3
x intercept
(-5;0)
(-3 ;0)
axis of symmetry : where you will cut the graph into two half
x = - b/2a
x = - 8/2(1)
x = - 8/2
x = - 4
Domain
XER
Range
y > -1
Related Questions
You are buying candles for an outdoor event. The candles you want come in boxes of 10, and you have enough money to purchase 20 boxes. How many candles can you buy?
Answers
Answer:
200 candles
Step-by-step explanation:
20*10 = 200
$14,038 is invested, part at 14% and the rest at 12%. If the interest earned from the amount invested at 14% exceeds the interest earned from the amount invested at 12% by $984.34, how much is invested at each rate? (Round to two decimal places if necessary.)
Answers
Answer:
492.99
Step-by-step explanation: x = amount invested at 12%
y = amount invested at 9%
---
x + y = 20287
0.12x = 0.09y + 492.99
---
put the system of linear equations into standard form
---
x + y = 20287
0.12x - 0.09y = 492.99
The amount invested at 14% is $4144 and the amount invested at 12% is $9894.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
We are given that;
Investment at 14%= $14,038
Investment at 12%= $984.34
Now,
Let x be the amount invested at 14% and y be the amount invested at 12%. Then we have:
x + y = 14038 (total amount invested)
0.14x - 0.12y = 984.34 (difference in interest)
We can solve this system of equations by substitution or elimination. For example, by elimination, we can multiply the first equation by 0.12 and subtract it from the second equation to get:
0.02x = 82.88
x = 4144
Then we can plug x into the first equation and get:
y = 14038 - 4144
y = 9894
Therefore, the simple interest will be $4144 and $9894.
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Simplify:
(a^-2)^-3 divided by (a^5)^-1
Answers
Hi,
.
[tex]( { {a}^{b} })^{c} = {a}^{b \times c} [/tex]
.
[tex] \frac{ {a}^{b} }{ {a}^{c} } = {a}^{b - c} [/tex]
=>
[tex]\frac{ { ({a}^{ - 2} })^{ - 3} }{ { {(a}^{5}) }^{ - 1} } = \frac{ {a}^{ 6} }{ {a}^{ - 5} } = {a}^{ 11} [/tex]
.
.
I hope it helped ✅(•‿•)
a wall that is 1.4m long has started lean and makes an angle of 80’o with the ground. A 2.0m board is jammed between the top of the wall and the ground to help prop the walk up. What angle does the board make with the
ground?
Answers
Which of the following is equal to 42.736 ? Select all that apply
Answers
Answer:
sorry but i need more information on the question to answer it.
Step-by-step explanation:
Hope this helps you!
Mrs. Hill went to get an oil change, because she has a 20% off coupon. If the oil change is 35.00, how much is the discount?
In problem #1, how much does Mrs. Hill have to pay?
Answers
Answer:
28.00
Step-by-step explanation:
Hi, anyone help me with this, please
A television addic can buy either two televisions and three video recorders for $1750 or four televisions and one recorder for $1250. Find the cost of one television and one video recorder
Answers
Answer: helloooo
Step-by-step explanation:
Television = $200 and Video Recorder = $450
sory if im wrong this is just what I think
What is the initial value of the exponential function shown on the graph?
A : 0
B : 1
C : 2
D : 4
Answers
BRANLIEST FOR CORRECT ANSWER
Complete the pairs of corresponding parts if △RST ≅ △TXY.
∠S =
∠ TXY
∠ XTY
∠ XYT
Complete the pairs of corresponding parts if △RST ≅ △TXY.
∠STR =
∠ XYT
∠ TXY
∠ XTY
Complete the pairs of corresponding parts if △RST ≅ △TXY.
RS =
TX
XY
TY
Complete the pairs of corresponding parts if △RST ≅ △TXY.
ST =
TY
XY
TX
Complete the pairs of corresponding parts if △RST ≅ △TXY.
RT =
TX
XY
TY
Complete the pairs of corresponding parts if △ABD ≅ △EFC.
∠A =
∠ FCE
∠ FEC
∠ EFC
Why is ▲MAE ≅ ▲TON?
HL
HA
LL
All of the following are ways to prove triangles congruent except
SAS
SSA
ASA
SSS
Answers
Answer:
Step-by-step explanation:
△ RST ≅ △ TXY
We are given ΔRST and ΔTXY are congruent to each other.
If two triangles are congruent to each other then their corresponding parts are equal.
Please see the attachment of two triangles.
∠R is corresponding to ∠T
∵ ∠R=∠T By CPCT
∠XYT is corresponding to ∠STR
∵ ∠XYT=∠STR By CPCT
∠XTY is corresponding to ∠SRT.
∵ ∠XTY=∠SRT By CPCT
∠TXY is corresponding to ∠RST
∵ ∠TXY=∠RST By CPCT
CPCT: Congruent part of congruence triangle.
8. Select all the expressions that represent "10% more than x."
A. 10 + x
B. 0.10 + x
C. 0.1x + x
D. 0.1x + 10
E. 1.1x
F. X(1 + 0.1)
Answers
Answer:
B
Step-by-step explanation:
10/100 = /0.1. it should be more than x so add x to it to be 0.1+X
PLEASE HURRY!!!!!! WILL MARK BRAINLIEST TO FIRST ANSWER!!!!!!
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answers
Answer:
Step-by-step explanation:
PLZ HELP 100 POINTS AND BRAINLIEST PLZ HELP
Answers
Answer:
Step-by-step explanation:
number 6. (1-2+3) - 4 + 5 = 3
Number 7. (1+2) +( 3+4 ) - 5 = 5
number 8. (1+2+3) - 4(5) = 10
5: (1+2)3 - 4 / 5 = 1
Answer:
5 --- 1 + 2 - 3 - 4 + 5 = 1
6 --- 1 - 2 + 3 - 4 + 5 = 3
7 --- [1 + (2 x 3 x 4)] / 5 = 5
8 --- [1 + 2 + (3 x 4)] - 5 = 10
Step-by-step explanation:
I didn't know if you needed brackets/parenthesis for the first two, that's just what I came up with
graph y= -4/3 x+2 using the slope and y-intercept
Answers
Answer:
i hope this helps or some-what helps
Step-by-step explanation:
- Nelton spent $44.75 on 5 tickets to the football game.
What was the cost of one ticket?
Answers
Answer:
8.95
Step-by-step explanation:
when you divide it 44.75 divided by 5 it willl appeer the price of only one
Answer:
$8.95
Step-by-step explanation:
44.75/5=8.95
A line through which two points would be perpendicular to the line y = 2/5x - 5/2 ?
Answers
Answer:
Step-by-step explanation:
c
The points in the table lie on a line. Find the slope of the line.
Answers
Hope this helps!
One package of blueberries cost $3. How many packages of blueberries can you buy for $9?
Round the answer to the nearest whole number!
Answers
Answer:
3 packages
Step-by-step explanation:
To find how many packages you can buy for $9, you have to divide 9 by 3.
Since each package costs $3.
So, 9/3 = 3
So you can buy 3 packages of blueberries.
Answer:
3 Packages
Step-by-step explanation:
1 package costs $3
2 packages cost $6 (because 3+3=6)
3 packages cost $9- And we have exactly $9 so we can buy 3 packages.
A small cup holds 75% as much as a large cup. If the small cup holds 36 units, how much does the large cup hold?
Answers
Answer:
48
Step-by-step explanation:
75/100 = 36/x
x = 48
i need help with this!!
Answers
Answer:
Answer: x <-4Step-by-step explanation:
you need to do it step by step and use something that will help
8x-4<-36
8x<-36+4
8x<-32
Answer: x<-4
Simplify (5^3)^6 leaving your answer in index form.
Answers
Answer:
5^18.
Step-by-step explanation:
By the law of indices:
(a^b)^c = a^(bc)
So (5^3)^6
= 5^(3*6)
= 5^18.
12 cm
5 cm
4 cm
15 cm
The area of the trapezium shown
above is
Answers
Answer:
120cm
Step-by-step explanation:
hope it helps pls mark brainliest
120cm² is the area of the trapezium. The two pairs of different sides of a parallelogram are parallel, making it a specific example of a trapezium.
What is trapezium?A trapezium is indeed a quadrilateral having four straight sides, four corners, and one pair of opposing sides that are parallel to the other pair and the other pair that are not1,2,3,4,5. Bases refers to the parallel sides, whereas Legs 1, 2, 3, and 4 refer to the non-parallel sides.
The two pairs of different sides of a parallelogram are parallel, making it a specific example of a trapezium4. The Trapezium is one of the most popular shapes; when drawn on paper, it creates a two-dimensional shape that resembles a table. A water glass, a lighting fixture, a flower pot, or boats are examples of items that have a trapezium shape.
Area of trapezium =1/2×(sum of parallel sides)×height
= 1/2×(5+4)×12
= 120cm²
Therefore, 120cm² is the area of the trapezium.
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Your question is incomplete but most probably your full question was,
The area of the trapezium shown below is
Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha.Which expressions both calculate the number of hours Demetrius works in a 5-day work week?
Answers
The expressions that calculate the number of hours that Demetrius works in a week are [tex]5(x+1)\text{ and }5x+5[/tex]
If Latisha works [tex]x[/tex] hours each day
Demetrius works one more hour than Latisha each day. Algebraically, Demetrius works [tex](x+1)[/tex] hours each day
So for a [tex]5[/tex]-day working week, Demetrius will work
[tex](x+1)+(x+1)+(x+1)+(x+1)+(x+1)\\=5\times (x+1)\\=5(x+1)hours[/tex]
If we remove the brackets, we have the equivalent expression
[tex]5(x+1)=5x+5[/tex]
So the expressions that calculate the number of hours that Demetrius works in a week are [tex]5(x+1)\text{ and }5x+5[/tex]
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A cell phone company charges 30 per month plus 0.07 per minute if Mr franklin cell phone bill was 59.40 how many minutes did he talk for that month
Answers
Answer:
420 minutes
Step-by-step explanation:
first I subtracted 30 from 59.4 and got 29.4
then I divided 29.4 by .07 and got 420
so there you go hope it helped
Answer these also with standard pls
Answers
a. Slope 2 and y-intercept 3
Slope-intercept form: [tex]\bold{y=2x+3}[/tex]
Standard form: [tex]\bold{2x-y=-3}[/tex]
b. Slope [tex]\frac{3}{5}[/tex] and y-intercept -6
Slope-intercept form: [tex]\bold{y=\frac{3}{5}x-6}[/tex]
Standard form: [tex]\bold{3x-5y=30}[/tex]
c. Slope [tex]-\frac{3}{2}[/tex] and y-intercept 9
Slope-intercept form: [tex]\bold{y=-\frac{3}{2}x+9}[/tex]
Standard form: [tex]\bold{3x+2y=18}[/tex]
d. Slope -3 and y-intercept 0
Slope-intercept form: [tex]\bold{y=-3x}[/tex]
Standard form: [tex]\bold{3x+y=0}[/tex]
Write the equation of the line in fully simplified slope-intercept form.
Answers
HELP! I WILL NOT TAKE SPAM ANSWERS! IF U SEND ME AA LINK I'M GONNA GET MAD!
An electrician cut 3 5/8 yards of wire into six equal sections. After cutting, how long was each piece?
Answers
Answer:
29/48
Step-by-step explanation:
3 5/8 Divided By 6= 29/48
Dividing fractions is simple if you know what to do, and how to multiply.
Here's how:
-----------------------------
1. convert any whole number or mixed number into a fraction.
6 = 6/1.
Whole number x denominator + numerator = 29/8
(3) (8) (5) (answer/original denominator)
-----------------------------
2. Keep, Change, Flip (KCF)
29 1
__ x __
8 6
With KCF, we keep the first fraction, change the division to multiplication, and flip the second fraction.
---------------------------------------
3. Multiply numerators and denominators
29 x 1 = 29
__
8 x 6 = 48
29/48 is in it's simplest form.
Hence, your answer.
Each wired piece was 29/48 of a yard.P.S - Please let me know if i made any mistakes.express the radical using the imaginary unit i
Answers
Answer:
[tex]i[/tex][tex]\sqrt{30}[/tex]
Step-by-step explanation:
[tex]\sqrt{-30}[/tex]
= [tex]\sqrt{30 * -1}[/tex]
= [tex]\sqrt{30} * \sqrt{-1}[/tex] Separate the two numbers into 2 radicals.
= [tex]i\sqrt{30}[/tex] Simplify, knowing that [tex]i = \sqrt{-1}[/tex].
Help help correct answers only
Answers
is the circumference
Wilson Green sells home security systems. He earns an 13% commission on every system he sells. Wilson's sales for this month totaled $6425. What is Wilson's commission? *
Answers
Answer
$835,25
Explanation
Total sales = $6425
Commission = 13%
100% - $6425
13% - x
13 * 6425 = 83525
83525 \ 100 = 835,25
Graph the point (−1, 5/2) on the coordinate plane.
PLEASE HELP ASAP
Answers
Answer:
The answer is 2 1/2
Step-by-step explanation:
The graph of point (-1,5/2) will be 1 unit left and 2.5 units up from the origin and has been plotted below.
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinate is the denotation of horizontal and vertical distinctions in a coordinate plane with actual distance as per a given scale factor.
The general form of coordinate (x,y) shows x distance far from the origin in the horizontal direction and y distance far from the origin in the vertical direction.
(-1,5/2) → -1 units refer to 1 unit left due to the minus sign.
5/2 = 2.5 its positive so 2.5 units up.
Hence "The graph of point (-1,5/2) will be 1 unit left and 2.5 units up from the origin".
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