Answer:
x=6.566084 or x=−1.066084
Step-by-step explanation:
Let's solve your equation step-by-step.
−4
x
−1=
7
2
−x+
3
x
+1
−4
x
+−1=
7
2
+−x+
3
x
+1
Multiply all terms by x and cancel:
−4+−1x=
7x
2
+(−x)(x)+3+1x
−x−4=−x2+
9
2
x+3(Simplify both sides of the equation)
−x−4−(−x2+
9
2
x+3)=−x2+
9
2
x+3−(−x2+
9
2
x+3)(Subtract -x^2+9/2x+3 from both sides)
x2+
−11
2
x−7=0
For this equation: a=1, b=-5.5, c=-7
1x2+−5.5x+−7=0
x=
−b±√b2−4ac
2a
(Use quadratic formula with a=1, b=-5.5, c=-7)
x=
−(−5.5)±√(−5.5)2−4(1)(−7)
2(1)
x=
5.5±√58.25
2
x=6.566084380618436,−1.0660843806184368
Check answers. (Plug them in to make sure they work.)
x=6.566084(Works in original equation)
x=−1.066084(Works in original equation)
Answer:
x=6.566084 or x=−1.066084
I need hep with the range
Answer:
[-7, 6]
Step-by-step explanation:
The range is the y values that the equation/line covers.
The line's lowest point is -7 and the line's highest point is 6. The value is defined at both -7 and 10 since there is a closed circle in both locations- so we use brackets.
5. What is the equation of a line that is perpendicular to -x + 2y = 4 and passes through the point (-2,1)?
a.
Write the equation -x + 2y = 4 in slope-intercept form
b. Identify the slope of the line represented in part a.
C.
What is the slope of the line perpendicular to the line in steps a and b?
d. Write the equation of the perpendicular line in slope-intercept form.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
[tex]-x + 2y = 4[/tex]
a) writing the equation in the slope-intercept form
We know that the slope-intercept form of the equation of the line is
[tex]y=mx+b[/tex]
where m is the slope of the line
so writing the equation in the slope-intercept form
[tex]-x + 2y = 4[/tex]
[tex]2y=4+x[/tex]
[tex]y=\frac{1}{2}x+2[/tex]
b) Identify the slope of the line represented in part a
As the equation in slope-intercept form is
[tex]y=\frac{1}{2}x+2[/tex]
Here,
m = slope = 1/2 ∵ [tex]y=mx+b[/tex]
c) What is the slope of the line perpendicular to the line in steps a and b
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
As the slope = 1/2
So the slope of the perpendicular line will be: -2
d. Write the equation of the perpendicular line in slope-intercept form.
Therefore, the point-slope form of the equation of the perpendicular line that goes through (-2,1) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = -2 and the point (-2,1)
[tex]\:y-1=-2\left(x-\left(-2\right)\right)[/tex]
[tex]y-1=-2\left(x+2\right)[/tex]
Add 1 to both sides
[tex]y-1+1=-2\left(x+2\right)+1[/tex]
[tex]y=-2x-3[/tex]
Mia pays $178 every 4 months for her piano lessons. At this rate, how much will Mia pay for 3 years of piano lessons?
Answer:
I think the answer is 734.
Step-by-step explanation:
You do $178 x 4 months = 716
716 x 4 years is 734
Solve by factoring. Check your answer.
[tex]x^2-4x=0[/tex]
Please show all your work and explain all steps. Thanks :)
Answer:
[tex]x=0,4[/tex]
Step-by-step explanation:
Factor out the common terms from the given terms:
[tex]x^2-4x=0[/tex]
You can factor out x from both:
[tex]x(x-4)=0[/tex]
Rewrite, setting each equal to 0:
[tex](x)(x-4)=0\\\\x=0\\\\x-4=0[/tex]
Simplify the second equation by solving for x:
[tex]x-4=0\\\\x-4+4=0+4\\\\x=4[/tex]
Therefore, x=0 or x=4
:Done
Of the 50 students in Mr.Mitchell’s classes, 60% are girls.On Friday, 20% of the girls in the class wore jeans.How many girls wore jeans
Answer:
6 girls
Step-by-step explanation:
60/100 x 50 = 30
30 girls in class
20/100 x 30 = 6
6 girls are wearing jeans
Line b passes through (3, 4) and (0, 2).
is it parallel?
Answer:
no perpendicular
Step-by-step explanation:
х- 1, 2, 3 ,4
y-20, 18,-7, -2.
James modeled the data with a linear best-fit equation. Which X-value
has the largest residual?
A 1
B. 2
C. 3
D. 4
If the circumference of a circle and the perimeter of a square are equal, then
(a) Area of circle = Area of the square
(b) Area of circle > Area of the square
(c) Area of circle < Area of the square
(d) Nothing definite can be said about the relation between the areas of the circle and square
Answer:
nothing definite can be said and square
Answer:
option no b is correct area of circle>area of square.
Step-by-step explanation:
А A
B
D
If m_ABD = 64°, and mZCBD = 30°,
then m ABC = [?]°
Answer:
34 degrees
Step-by-step explanation:
If ABD = 64, and CBD is 30, we can use PWP( Part Whole Postulate)
Step 1.CBD + ABC = ABD
Step 2. Substitute
30 + ABC = 64
Step 3. Isolate ABC
34 = ABC
ABC is 34 degrees
9514 1404 393
Answer:
34°
Step-by-step explanation:
It should be fairly intuitive that the two smaller angles add to give the value of the larger one. (Even if it's not, the angle sum theorem tells you this is true.)
∠ABC + ∠CBD = ∠ABD
∠ABC + 30° = 64°
∠ABC = 34° . . . . . . . . . subtract 30° from both sides of the equation
In a survey of 2,700 people who owned a certain type of car, 1,485 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car
Answer:
35%
Step-by-step explanation:
Jack added 6.5 sales tax to the price, , of a new cell phone. What is another way to find the total cost of the cell phone?
can someone please help me
Answer:
a. h(t) = 5t + 10
b. 70
c. h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.
Step-by-step explanation:
a. Since the elevator is already 10 feet of the ground, u have to add that in the equation. And since it's 5 feet per second, 5 will be a multiplier so:
h(t) = 5t + 10
b. We have the equation already and in the equation it said that "t" represents the seconds so just replace 1 with 12:
h(12) = 5(12) + 10
h(12) = 60 + 10
h(12) = 70
c. Refer to b that we just did if u will, "t" represents seconds so h(t) becoming h(5) means 5 seconds. So h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.
What is the image of the point (0, -1) after a rotation of 180° counterclockwise
about the origin?
Step-by-step explanation:
(x,y)=(-x,-y)
(0,-1)=(-0,1)
does anyone know how to do this
Can someone please help ASAP!!
Pleaseee I’ll give brainliest!!!
Answer:
all real numbers
Step-by-step explanation:
The graphs of positive and negative x^2 parabolas will always have a domain of all real numbers. Even though you only have a portion of the graph and see a "restriction" on your domain values, it is incorrect to assume that the domain is limited to what you can see. As the branches of the parabola keep going up and up and up, the values of x keep getting bigger and bigger and bigger. Again, this is true for all + or - parabolas. ....... Can consider brainlist*:)
Elizabeth can type 250 words in 5 minutes. What are the units?
Your answer
Answer: 50 words per minute
Step-by-step explanation:
250 words per 5 minutes DIVIDE BOTH NUMBERS BY 5
50 words per 1 minute
If Osa is in a submarine that is 275 feet below sea level and Jill is hiking a mountain and is at 250 feet above sea level, which person is closest to sea level? Explain how you used math to determine your answer.
Answer:
Jill
Step-by-step explanation:
Since 250 is closer to 0 (which is the sea level) on the number line compared to 275, Jill is closer to sea level.
Help with 10 c). Plssss
Answer: It’s B or E I would go with id say E
Step-by-step explanation:
Pls I Need Help Fastttt
Answer:
2
Step-by-step explanation:
How do I solve this and check all the solutions?
Answer:
x = 2
Step-by-step explanation:
(Square both sides)
20 - 8x = x^2
(Solve 20 - 8x = x^2)
x = 2 , x = 10
x = 10 is false, so the answer is x = 2.
Answer:
x=2
Step-by-step explanation:
√20-8x=x
2√5-2x=x (by simplfing redical expression)
4(5-2x)=x^2 (square both side)
20-8x=x^2
20-8x-x^2=0
-x^2-8x+20=0
x^2+8x-20=0
x=2
Note:There is a another answer x=-10 But it's wouldn't fit out with this equation
I need help please!!!!
Answer:
a. 10%
b. 80%
c. 20%
Step-by-step explanation:
Hope this helps!
Can some one help me in less then five minutes??
Answer:
x>dy-c
Step-by-step explanation:
There are 4 tablespoons in cup. There are 2 cups in 1 pint. How many tablespoons are there in 1 pint?
Answer:
there are 32 tablespoons in 1 pint .
Step-by-step explanation:
beacause i asked siri .
working on a song for someone I used to love
I'll go through all of the realities to find you
(If I need you)
Just so I can hold your hand...
Even if they think it's fake...
I want you to understand
that there's a certain miss
and a certain love
and a heartache in my chest
every time i hear your name
and im still lying in my bed
without you....
Answer:
wowww!! it's very sad and wonderfull
Please help!!!!!!!!!
Answer:
1/8 or 0.125
Step-by-step explanation:
hope this helped
355 divided 14 hiksdjkndndf
Answer:
Rounded to the nearest whole number is 25
Hannah finds that the amount of time she spends studying for her history tests affects her grade on the test. Which statement describes the relationship Hannah is observing?
Answer:
Step-by-step explanation:
There are not statements. But...
If she studies more her grade is better.
The more she studies, the more her grade goes up.
The less she studies, the more her score goes down.
Just some guesses for you. Match up with your statements.
Hannah is observing he following relation {G} [tex]$\alpha[/tex] {1/T}
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is that Hannah finds that the amount of time she spends studying for her history tests affects her grade on the test.
Let the amount of time she spends studying for her history tests is denoted by the variable {T}.
Let her grade is denoted by the variable {G}. So, we can write -
{G} [tex]$\alpha[/tex] {1/T}.
Therefore, Hannah is observing he following relation -
{G} [tex]$\alpha[/tex] {1/T}.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ5
A litter of puppies had 2 white puppies and 5 brown puppies. What percent of white puppies are in the litter? Round to the nearest whole number
Answer:
29%
Step-by-step explanation:
0.28571428571 as an approximate percent is 29%. There are 2 white puppies and 7 total puppies(2 white + 5 brown)
Hope this helps!
Answer:
29%
Step-by-step explanation:
0.28571428571 is the original number which makes 29%
Hope this helps! Have a great day :)
If the expression 4c + 2b + 4d is subtracted from 3c + 4b + 5d then the answer will be
Answer:
1c 2b 1d
Step-by-step explanation:
did the math
Answer:
c - 2b - d
Step-by-step explanation:
(4c + 2b + 4d) - (3c + 4b + 5d) =
4c + 2b + 4d -3c - 4b - 5d =
c - 2b - d
please someone help asap i will give brainliest
Answer:
Step-by-step explanation:
c≥ -1.95
[-1.95,∞)
solid circle on -1.95 and go right