draw a suitable line on the grid and use your graphs to solve the equation 2/x - x^2 =5x
Answer:
I graphed the answer above in the image
The equation x²– 8x – 5 = 0 can be transformed into the equation (x - p)² = q, where p and q are real numbers. What are the values of p and q?
The form (x - p)^2 = q is the form that completing the square will leave us with.
---Add 5 to both sides
x^2 - 8x = 5
---Divide the b term by 2, and square it. Then, add that number to both sides.
-8/2 = -4
(-4)^2 = 16
x^2 - 8x + 16 = 5 + 16
x^2 - 8x + 16 = 21
---Factor!
(x - 4)^2 = 21
p = 4
q = 21
Hope this helps!! :)
P and q have values of 4 and 21, respectively.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
The form (x - p)²= q is what we get when we complete the square.
Adding the number 5 on both sides,
x² - 8x = 5
After dividing by two, square the b term. Then divide both sides by that figure.
-8/2 = -4
(-4)² = 16
x² - 8x + 16 = 5 + 16
x² - 8x + 16 = 21
Solve the factors,
(x - 4)² = 21
p = 4
q = 21
As a result, the values of p and q are 4 and 21, respectively.
To know more about an expression follow
https://brainly.com/question/11000847
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Simplify 20+16➗2
Please answer ASAP
Answer:
28, trust me
Step-by-step explanation:
If a triangle has an area of 192 mm2, and the
height measures 12 mm, what is the measure
of the base?
Answer:32mm
Step-by-step explanation:
area of triangle = 1/2 *base * height
192mm2 = 1/2 *b* 12mm
192 =6b
base=192/6
base= 32mm
find the area
(not to scale)
Answer: no
Step-by-step explanation: no
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
(Please show your work)
Answer:
Below
Step-by-step explanation:
Use reverse pythagorean theorem
c^2 = a^2 + b^2
You can either rearrange the equations, or plug the values in an solve for b :
b^2 = c^2 - a^2
= 15.1^2 + 9.7^2
= 1339.2
Square root this number
= 11.5723809
x = 11.6 in
Hope this helps! Best of luck <3
___________
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[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = (15,1)² - (9,7)²
x² = 228,01 - 94,09
x² = 133,92
x = 11,6in✔
Yolanda would like to attend a 12-month program that will certify her as a court reporter. The program costs $8,500 in tuition, fees, and books and will allow her to make
about $31,250 a year when she becomes certified. She will not have time to work during the year of training. Assuming she could make $18,000 a year without the
training, how many years will it take her to recoup her investment? years
Answer:
15 months and 8 days
Step-by-step explanation:
31,250 / 12 = 2604.16667 8,500/ 2604.16667 = 3.264 months of second year 12 + 3.264 = 15.264 months days 30 * 0.264= 7.92 add the together = 15 months and 8 days
5. The length of a red rectangle is 12 cm more than its width, w. A blue
rectangle, which is 4 cm wider and 2 cm shorter than the red one, has
perimeter 72 cm. Make a sketch of the rectangles expressing all dimensions in
terms of w. Then find the dimensions of the red rectangle.
Answer:
For the red triangle the width is 9 cm and the length is 24 cm. For the blue triangle, the width is 14 cm and the length is 22 cm.
Step-by-step explanation:
Red triangle: width is 9 cm, length is 24 cm, blue one width is 14 cm and the length is 22 cm. hope this helps. did this quickly! <3
Answer:
Step 1. Perimeter P means adding up all 4 sides of a rectangle.
Step 2. Let w be the width of the red rectangle
Step 3. Let w+15 be the length of the red rectangle
Step 4. Let w+5 be the width of the blue rectangle
Step 5. Let w+15-2=w+13 be the length of the blue rectangle
Step 6. Then for the blue rectangle, P=w+5+w+5+w+13+w+13=4w+36=72
Step 7. Solving 4w+36=72
Subtract 36 from both sides of the equation
4w=36
Divide by 4 to both sides of the equation
ANSWER: For the red triangle the width is 9 cm and the length is 24 cm. For the blue triangle, the width is 14 cm and the length is 22 cm.
Alice is inventorying two different warehouses. In the first warehouse, she determines that there are 4.6X10 to the third power of boxes. In the second warehouse, she determines that there are 5X10 to the fourth power of boxes. What is the combined number of boxes in both warehouses?
PLEASE HELP!!!!
Answer:4.6 × 30= 138
5 × 40= 200
Step-by-step explanation:
Given the definitions of f(x)f(x) and g(x)g(x) below, find the value of (f\circ g)(2).(f∘g)(2). f(x)= f(x)= \,\,-5x-11 −5x−11 g(x)= g(x)= \,\,2x^2+2x-5 2x 2 +2x−5
ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!
Answer:
3) parallel
4) y = -1/2x +5
Step-by-step explanation:
3) Two equations are parallel if they have the same slope
The equations are written in y=mx+b (standard) form, where m is the slope. Both equations have a slope of 5/4
4) The two points that are plotted are (0,5) and (4,3).
We can find the slope by using the slope equation
(3) - (5) / (4) - (0) = -2/4 = -1/2
then we can plug it in both points to find b
-1/2(4) = -2
-2 + b = 3
b = 3
Alicia wants a pair of shoes that cost $68.48. If 17% sales tax must be added to the price, approximately
how much will the shoes cost including sales tax?
Answer:
$80.12; approx. $80
Step-by-step explanation:
- multiply 68.48 x 17% or 68.48 x 0.17 = 11.64
- the tax is 11.64
- add 68.48 + 11.64
- her total is $80.12
- rounded it would be $80
Hope this helped!
Which graph shows y=x^2+3x-4
Answer:
Third graph in the photo
Step-by-step explanation:
x^2+3x-4 can be factored as (x+4)(x-1). When y=0, x must be -4 or 1 to satisfy the equations, and thus the roots of the graph are at x=-4 and x=1. When x=0, y=(4)(-1)=-4. The only graph that satisfies both of these requirements is the third/last one.
multiply
4/7 x 4 3/8 x 5/6
Answer:
all of them together or eahc seperate
Step-by-step explanation:
please help me its due in 3 mins
Answer:
s = 19°Step-by-step explanation:
The angles that are directly opposite to each other are known as opposite angles. They are also termed as vertical angles or vertically opposite angles and are equal to each other.
so
106 = 6s - 8
106 + 8 = 6s
114 = 6s
s = 114 : 6
s = 19°
-----------
check
6 * 19 - 8 =
106°
the answer is good
Please help me ASAP
Answer:
x ≤ -17
Step-by-step explanation:
ndjsjdjdjdjdjjxndjxjusnsu j
Answer:
B
Step-by-step explanation:
bcoz sin and cos 45 have 1/root2
Answer:
B. 45°
Step-by-step explanation:
sin(45) = √2/2
cos(45) = √2/2
Find the slope, m, and y-intercept, b, for the graph of the linear equation represented by the table below.
Answer: m=1/2, b=-7
Step-by-step explanation:
(0,-7) is the y-intercept on the line...
Holly's soccer team is trying to raise $2,100 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $30 for the breakfast. How many people need to attend their breakfast in order to raise $2,100?
Answer:
70 people
Step-by-step explanation:
30 dollars for each person, so you divide 2,100 by 30 to find how many people.
2,100/30=70
Answer:
70
Step-by-step explanation:
Target=$2,100
Money Earned from a single person=$30
Number of persons=$2,100 /$30 = 70
Thus, 70 people need to attend their breakfast in order to raise $2,100
Which equation represents “fifteen more than r is sixty-one?”
Answer:
r + 15 = 61
Step-by-step explanation:
Somebody please help me !!
1. (-1, 1
2. (-2,-2)
3. (-3, 1)
hope this helps!!
Peyton made a 40% on her Math test. If she got 12 questions correct, how many total questions were on the test?
Answer: 30
Step-by-step explanation:
40% = 12 | 40% + 40% = 80% | 80% = 24 | 12 / 2 = 6 | 6 = 20% | 40% + 40% + 20% = 30 questions
Please note that i'm not a professor and i might have this wrong.
Please please help me with this question please now and show your steps
[tex]\sqrt4x -\sqrt9x\\\\[/tex]
Answer:
Step-by-step explanation:
Richard had 180 total minutes to do
homework, mow the grass, and walk the dog.
He spent 3(x + 4) minutes mowing the
grass.
He spent (x + 3) minutes working on
homework
He walked the dog for x minutes.
How many minutes did Richard spend
mowing the grass?
Can someone please help me with this I really need help.
Answer:
The angle mPQO is 86°
Step-by-step explanation:
123°-37°
factor completely p^3 -27z^6
Answer:
gb
Step-by-step explanation:
uhygt
Suppose f(x) = 3x*2 - 2x
Answer:
x=0
Step-by-step explanation:
0=6x-2x
0=4x
4x=0
and the answer is x=0
10 ft 8 ft 6 ft Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate n. A = [ ? ] ft?
Answer:
l×b×h-this is the order
10×8
=80 --area 1:maximum
10×6= 60--area2: minimum area
8×6=48--area3:middle area
if you follow the order
the answer is= 60ft
HELP IM IN THE MIDDLE OF A TEST!!
Choose the correct slope of the line that passes through the points (1, -3) and (3, -5).
A. -1
B. 1
C. 0
D. 1/2