Let g(x) = 4x - 20 and h(x) = -1/2x + k. For what value of k is the zero of h(x) equivalent to the zero of g(x)
Answer:
Step-by-step explanation:
The zero of a function is also known as the x-intercept of a function. The x-intercept of a function exists where y = 0. So we will begin by setting each of those lines = 0:
4x - 20 = 0 and -1/2x + k = 0 and then solve each for x:
4x = 20 so
x = 5 and
-1/2x = -k and
1/2x = k so
x = 2k. Now we set the 2 x expressions equal to each other and solve for k:
5 = 2k so
k = 5/2
The value of the K in the given equation is 5/2.
The zero of a function is also known as the x-intercept of a function.
The x-intercept of a function exists where y = 0. So we will begin by setting each of those lines = 0:
4x - 20 = 0 and
-1/2x + k = 0 and then solve each for x:
What is the substitution method?The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
4x = 20 so
x = 5 and
-1/2x = -k and
1/2x = k so
x = 2k. Now we set the 2 x expressions equal to each other and solve for k
5 = 2k so
k = 5/2
Therefore the value of the K in the given equation is 5/2.
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20.
Determine the type and number of solutions of 7x2 + 3x + 8 = 0.
two imaginary solutions
two real solutions
one real solution and one imaginary solution
one real solution
two real solutions
b2-4ac>0
one real solutions and one imaginary solution
b2-4ac=0
no real solution
b2-4ac<0
a=7
b=3
c=8
(3)^2-4(7)(8)=-215 no real solution
find the solution to the equation 5x^2+7x-6=0
when solved by factoring..
the answer is
x= 3/5, -2
If the scale factor from figure A to figure B is 3:8, find the value of X (giving brainliest and thanks to all!)
Answer:
x = 9
Step-by-step explanation:
Corresponding sides are in proportion, that is
[tex]\frac{x}{24}[/tex] = [tex]\frac{3}{8}[/tex] ( cross- multiply )
8x = 72 ( divide both sides by 8 )
x = 9
(y = −4x−3) ( y = -2x+1 )
Ralph borrows $360 at 0.7% simple interest per month. When Ralph pays the loan back 3 months later, how much interest does Ralph pay?
can someone plzz help . Write and solve an the equation to find the value of x and the missing angle measures
Answer:
x=9
Angles = 50
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal
4x+14 = 6x-4
Subtract 4x from each side
4x+14-4x = 6x-4-4x
14 = 2x-4
Add 4 to each side
14+4 = 2x-4+4
18 =2x
Divide by 2
18/2 =2x/2
9 =x
The angles are equal
4x+14 = 6x-4 = 4(9)+14 = 36+14 = 50
1 In a farm, there are x chickens and pigs. If the total number of chickens and pigs in the farm is 71 and the total number of legs as 180
,
Answer:
Step-by-step explanation:
I don’t know the question so, please tell me the question in the comments and i will try to answer it!
30 ≥ 5(6n) Choose the correct answer. n ≤ 2 or
n ≤ 1
Answer:
1 ≥ n
Step-by-step explanation:
30 ≥ 5(6n)
Distribute
30 ≥ 30n
Divide each side by 30
30/30 ≥ 30n/30
1 ≥ n
30 >= 5(6n)
Divide both sides. Y 5:
6 >= 6n
Divide both sides by 6:
1 >= n
Rewrite as: n ≤ 1
The Hernandez family budget is shown in the graph.
A circle graph titled Family Budget. Housing is 23 percent, Food is 21 percent, Savings is 10 percent, Transportation is 16 percent, medical is 12 percent, clothing is 13 percent, emergency fund is 5 percent.
Which 3 categories make up more than half of the Hernandez family budget? Select two choices..
clothing, medical, and emergency fund
clothing, housing, and savings
housing, savings, and food
housing, food, and transportation
food, transportation, and emergency fund
Answer:
c and d
Step-by-step explanation:
c) Housing, savings and food = 54%
d) Housing, food and transportation = 60%
Answer:
c and d
Step-by-step explanation:
Sofia works at Cowboy Corner. She receives 10% commission on all of the cowboy hats she sells in a month. If Sofia sells $545 in total sales, what is her commission? (include steps or explanation in ur answer)
Answer:
$54.50
Step-by-step explanation:
10% = 10/100
=545 × 10/100
=5450/100
=54.5
In this formula,C represents the total charge for babysitting and represents the number of hours the child is kept. How much should Joe pay if his child is at the babysitting service for 3 hours?
C= $5:25 + $2:50H
Answer:
huh
Step-by-step explanation:
plz help asap. i beg
The answer is -15.
Because others are rational numbers but not integers.
-15 is the only rational number and integer.
Sabiendo que la tangente son 4/3 dime el cos y sen estando el angulo en el tercer cuadrante de la circunferencia
Answer:
sen α = - 4/5
cos α = - 3/5
Step-by-step explanation:
tang α = 4/3
De la relación fundamental de la trigonometría sabemos:
sen² α + cos²α = 1
Dividiendo la ecuación anterior por cos² α
sen²α/cos²α + cos²α / cos²α = 1 / cos² α
tang²α + 1 = 1/ cos² α
(4/3)² + 1 = 1/ cos² α ⇒ 16/9 + 1 = 1/ cos² α
1/ cos² α = ( 16 + 9 ) / 9
1/ cos² α = 25/9
cos² α = 9/25
cos α = 3/5
y para calcular el sen α
sen² α = 1 - cos²α
sen² α = 1 - 9/25
sen² α = ( 25 - 9 )/ 25
sen² α = 16/25
sen α = 4 / 5
Ahora bien el angulo α está en el tercer cuadrante, en ese cuadrante tanto el seno como el coseno son negativos.
Respuesta:
sen α = - 4/5
cos α = - 3/5
how do i solve this ?? please explain it to me
Answer:
the first thing that you need to know you need to know you invoice and then you will know how to calculate your equation
What is the Tenth term of 3n+2
The school band has a goal of raising $800 for some new uniforms. If they have raised $512 so far, what percent of their goal have they raised?
Answer:
64%
Step-by-step explanation:
Is this statement true or false?
It is a good idea to check the car history using an online site.
O true
O false
The stemplot below displays the arm spans, in centimeters, for 20 students.
A stemplot titled arm span (centimeters) has values 153, 155, 156, 160, 162, 162, 162, 163, 163, 165, 166, 167, 170, 173, 180, 181, 182, 189, 192, 202.
Identify the outliers, if they exist.
Answer:
189 and 202
Step-by-step explanation:
An outlier is a value that will have an effect on the mean of a set of values. It has an obvious difference compared to other values. They can be easily determined in a set of given data by mere observation.
From the given data in the question, it would be observed that the chronological difference among set of the data is either 1, 2, 3 or 4. But the two numbers that could be referred to as outliers are 189 and 202. This is because the have a wider range than others.
Answer:
Here are the answer choices you forgot:
There are no outliers.
153
202
192, 202
-----------
C & D are incorrect.
I think it is A : no outliers.
John has 8 cards that spell the word H O M E W O R K. She shuffles them and then places them face down. Assume she returns the card on each occasion.
b) What is the probability she will choose a consonant?
Answer:
The probability that I will choose a consonant is 62.50%.
Step-by-step explanation:
Given that John has 8 cards that spell the word H O M E W O R K, and he shuffles them and then places them face down, to determine what is the probability he will choose a consonant the following calculation must be performed:
Vowels: 3
Consonants: 5
5/8 = X
0.625 = X
0.625 x 100 = 62.50
Therefore, the probability that I will choose a consonant is 62.50%.
Find the degree of the polynomial function y=(x-5)(x+5)
Answer:
Step-by-step explanation:
y = (x + 5)(x - 5)
= x² - 5²
= x² - 25
Degree of this polynomial is 2.
Highest power of the variable x will be the degree of the polynomial.
The outer and inner diameters of a circular ring are
34 cm and 32 cm, respectively. Then, find the area of ring
Answer:
103.686cm^2
Step-by-step explanation:
Given data
Outer diameter= 34cm
Outer Radius= 34/2= 17cm
Area= πr^2
Area of outer ring= 3.142*17^2
Area of outer ring= 3.142*289
Area of outer ring= 908.038cm^2
inner diameter= 32cm
inner Radius= 32/2= 16cm
Area= πr^2
Area of outer ring= 3.142*16^2
Area of outer ring= 3.142*256
Area of outer ring= 804.352cm^2
Hence the radius of the ring is
=Area of outer - Area of inner
=908.038-804.352
=103.686cm^2
What is sin 45°? O A. 1/2 12 1 OB. NI O C. 1 O D. O E. 1 3 O F. 13 ap.ex
1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
Ravi bought 3 pens and 4 notebooks for $28. Lola bought 4 pens and 8
notebooks at the same store for $52. How much does one notebook cost?
Answer:
5.50 Each
Step-by-step explanation:
Answer:
Step-by-step explanation:
3P + 4N = 28
6P+ 8N = 56
4P +8N 52
2P = 4
P = 4/2 = 2 = $2
3(2)+4N = 28
4N = 28-6=22
N = 22/4 = 5.5= $5.50= cost of one notebook
Please answer with work shown (only if possible)
Answer:
103.2 km
Step-by-step explanation:
Hi there!
1) Draw a diagram
Please see the picture below.
2) Solve for the length of the diagonal
Because Jacob's path creates a right triangle, we can use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where c is the side opposite the right angle and a and b are the other sides
Plug in the known information
[tex]64^2+81^2=c^2\\64^2+81^2=c^2\\10657=c^2[/tex]
Take the square root of both sides to isolate c
[tex]10657=c^2\\103.2=c[/tex]
I hope this helps!
the diameter of a circle is 12 centimeters. What is the circumference?
Answer:
the circumference is 37.7 cm
Answer:
circumference = 37.7
Step-by-step explanation:
in the photo I explained the formula of how to find the circumference
Which sign makes the statement true?
9
No
12
12
<
=
Answer:
12=12Step-by-step explanation:
#hopeithelpsstay safe and keep wellmark me as brain liest plswhat is the gradient of the graph shown below. Give answer in simplest form
Answer:
slope = 3/1
Step-by-step explanation:
select two clear-cut points, i used (1,2 and (2,5)
use slope formula which is the difference of the y-values over the difference of the x-values to get:
(5-2) / (2-1) = 3/1
slope = 3/1 or 3
Check:
to get from point (1,2) to (2,5) you rise by 3 and go over to the right by one unit
Answer:
3
Step-by-step explanation:
Which linear function has the steepest slope?
Answer:
the graph... it's slope is |2| and the chart is |1|
the absolute values are there because the questions only says "how steep"
not the direction
Step-by-step explanation:
Ariana spent a quarter of her allowance on sweets and she put one third of the remainder in her piggy bank. If she had twenty dollars left, what was her allowance
Answer:
$40
Step-by-step explanation:
Ariana spent a quarter of her allowance
1 - 1/4 = 3/4 was left
put one third of the remainder in her piggy bank
1/3 * 3/4 = 1/4
She spent 1/4 and piggy banked 1/4
so the $20 she had left was half her allowance.
allowance was $40
Ariana gets a very large allowance!
