Answer:
x^2+(4-1)x-4=0
x^2+4x-x-4=0
x(x+4)-1(x+4)=0
(x-1)(x+4)=0
either (x-1)=0 Or,(x+4)=0
x-1=0
x=0+1
x=1
x+4=0
x=0-4
x=-4
therefore x=-4,1
Step-by-step explanation:
The required solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
To solve for x in the quadratic equation x² + 3x - 4 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation (ax² + bx + c = 0).
In this case, a = 1, b = 3, and c = -4, so we have:
x = (-3 ± √(3² - 4(1)(-4))) / 2(1)
x = (-3 ± √(25)) / 2
x = (-3 ± 5) / 2
x₁ = (-3 + 5) / 2 = 1
x₂ = (-3 - 5) / 2 = -4
Therefore, the solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.
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Find the value of each variable.
a
59
72
A. a = 59°; b = 49°; c = 72°; d = 98°
B. a = 59°; b = 52°; c = 72°; d = 96°
C. a = 118°; b = 49°; c = 144°; d = 98°
O
D. a = 118°; b = 49°; c = 72°; d = 98°
Answer:
[tex]C. a = 118^o; b = 49^o; c = 144^o; d = 98^o[/tex]
Step-by-step explanation:
[tex]a=2(59)\\\\a=118^o[/tex]
---------------
[tex]b=180-(59+72)\\\\b=180-131=\\\\b=49^o[/tex]
---------------
[tex]C=2(72)\\\\C=144^o[/tex]
----------------
[tex]d=2b\\\\d=2(49)\\\\d=98^o[/tex]
--------------------
hope it helps...
have a great day!!
Question about forms of quadratics
pls add explanation for brainliest
Answer:
See below...
Step-by-step explanation:
Zeros of the function: [tex]f(x)=(x-8)(x+2)[/tex]
The zeros are 8 and -2
The coordinates of the vertex: [tex]f(x)=(x-3)^2-25[/tex]
The vertex is the point (3, -25)
The y-intercept: [tex]f(x)=x^2-6x-16[/tex]
The y-intercept is -16
The axis of symmetry: [tex]f(x)=(x-3)^2-25[/tex]
The axis of symmetry is x = 3 (it goes through the vertex)
The second doughnut glazing machine can glare 78 dozen doughnuts in
2 hours
Based on this rate, what is the total number of hours it will take the second
machine tolar 135 doren doughnuts Show or explain how you got you
answer
Answer:
t = 3.46 hours, or 3 hours 28 minutes
Step-by-step explanation:
78 dozen donuts in 2 hours immediately reduces to 39 dozen/hour.
Donuts produced as a function of time: D(t), where t is the number of hours the macine runs.
Set D(t) = 135 dozen = (39 dozen/hr)t.
Solving this equation for t, we get:
t = 135/39 hours, or t = 3.46 hours, or 3 hours 28 minutes
Janice has a pasta recipe that calls for 2oz. Of cheese for every 3 oz. of cooked pasta find the graph that shows their relationship between cheese and pasta
where is the graph ?
3. Find the length of the missing side given the information below.
A. 5
B. 25
C. 12.5
D. 157
=================================================
We apply the pythagorean theorem to find this answer.
a = 11 and b = 6 are the given legs
c = unknown hypotenuse
So,
a^2+b^2 = c^2
c = sqrt( a^2+b^2 )
c = sqrt( 11^2 + 6^2 )
c = sqrt( 121 + 36 )
c = sqrt( 157 )
c = 12.52996 approximately
c = 12.5
Side note: once you replace 'a' and b with 11 and 6, you can compute everything with a calculator in one single step more or less. The steps above are shown if you wanted to find the exact value sqrt(157).
60% of the books on a bookshelf are english books. If there are 35 english books on the bookshelf, find the number of the books in the book shelf
Answer: 58 books
Step-by-step explanation:
There are 35 English books on the shelf and this constitutes 60% of the total number of books on the shelf.
Denoting the total number as x, the total number is:
35 = 60% * x
x = 35 / 60%
= 58 books
I have no clue helppp me plz
Answer:
13 degrees
Step-by-step explanation:
Triangles have to equal to 180 degrees
Answer:
[tex]180 = 154 + 13 + x[/tex]
Step-by-step explanation:
180= 154° + 13° + X
X = 180° - 154°- 13°
X = 13°
The its an ISOCELES triangle
Find mMLK. IF YOU GIVE A LINK YOU WILL BE REPORTED.
Answer:where is the question
Step-by-step explanation:
25/24 as a decimal and round it to the nearest hundredth
Answer:
1.04
Step-by-step explanation:
25/24=1.04166667
round: 1.04
fnd the value of x................
If I can paint a wall in 20 min and my friend can paint a wall in 30 min. How many minutes would it take for us to paint a wall working together.
Answer: [tex]12\ \text{min}[/tex]
Step-by-step explanation:
Given
It takes 20 min and 30 min for a person and his friend to paint a wall individually i.e.
In 1 min they cover [tex]\frac{1}{20}[/tex] part and [tex]\frac{1}{30}[/tex] part of wall respectively.
If the work together, 1 minute work is
[tex]\Rightarrow \dfrac{1}{20}+\dfrac{1}{30}\\\\\Rightarrow \dfrac{3+2}{60}\\\\\Rightarrow \dfrac{5}{60}[/tex]
Time required will be reciprocal of it
[tex]\Rightarrow \dfrac{60}{5}=12\ \text{min}[/tex]
help please with this question
Answer: 70ft
Step-by-step explanation:
ht= (-3)^2 + 15(3) + 16
ht= 9 + 45 + 16
ht= 70
use a formula to find the area of the figure
Answer: C. 13.5
Step-by-step explanation:
9x3= 27
27 divided by 2= 13.5
The formula for the area of a triangle is: A = 1/2 * b * h
In this problem, we are given the base (9 ft) and the height (3 ft). Therefore, we can use the formula.
A = 1/2 * 9 * 3
A = 1/2 * 27
A = 13.5 ft^2
Hope this helps!! :)
The Space Club is having some
posters printed. The printer charges
$250 plus $2 per poster. How many
posters can be printed for $1000?
Answer:
375
Step-by-step explanation:
250+2/poster=1000
2/poster=750
poster =375
check answer
250+2(375)=1000
250+750=1000
1000=1000
Let e be the line through A (-4,5) and B (3. t) that is perpendicular to the line through
P (1, 3) and Q(-4, 2). Find the value of t.
Let l be the line through A (4, -3) and B (t, -2) that is parallel to the line through
P(-2, 4) and Q (4, -1). Find the value of t.
Determine the signs of sino coso and tane if O is an angle in standard position and
P (2,-5) is a point on its terminal side.
Answer:
Step-by-step explanation:
product of slopes of perpendicular lines=-1
(t-5)/(3+4)×(2-3)/(-4-1)=-1
(t-5)/7×(-1/-5)=-1
(t-5)/35=-1
t-5=-1×35=-35
t=-35+5
t=-30
2.
slopes of parallel lines are equal.
(-2+3)/(t-4)=(-1-4)/(4+2)
1/(t-4)=-5/6
t-4=-6/5
t=4-6/5=(20-6)/5=14/5
3.
x>0,y<0
so P lies in4th quadrant.
except cos and sec all are negative.
so only cos and sec are positive.
Given the system of linear equations:
2 – 2y = 4
4x + 3y = 5
What would be a possible FIRST STEP in the process of SOLVING by ELIMINATION?
Carter needs to wrap seven presents. He lays the ribbon out flat and says that I'll have just enough pieces if I make six equally spaced cuts, I can use one piece for each package. And I won't have any pieces left over. Does he have enough pieces to wrap all the presents?
Answer:
Yes, he has enough pieces to wrap the present
Step-by-step explanation:
Given
[tex]Presents = 7[/tex]
[tex]Cuts = 6[/tex]
Required
Is there enough pieces to wrap all presents
As a general rule;
When a piece is cut in 1 place, you get 2 pieces
When a piece is cut in 2 places, you get 3 pieces
When a piece is cut in 3 place, you get 4 pieces
This implies that:
n cuts gives n + 1 pieces
i.e.
[tex]n \to n + 1[/tex]
So, we have:
[tex]6\ cuts \to (6 + 1) pieces[/tex]
[tex]6\ cuts \to 7\ pieces[/tex]
Hence, there are enough pieces.
This scatter plot shows the relationship between the number of sweatshirts sold and the temperature outside.
1) The y-intercept of the estimated line of best fit is at (0,b). Enter the approximate value of the b in the first response box.
2) Enter the approximate slope of the estimated line of best fit in the second response box.
Answer:
Below.
Step-by-step explanation:
1) 245.
2) Approximate slope = -(245-200)/15 = -3.
The y intercept is 250 and the slope is -10/3.
What is equation of a line?The equation of a line is linear in two variables, usually x and y, that is satisfied by points of the line.
We have the following ordered pairs in the line given:
(0, 250) and (30, 150)
Calculating the slope:
m = 150 - 250/ 30 - 0
m = -100/30
m = -10/3
Therefore, the slope is -10/3
Finding the y-intercept:
The equation of a line has the form:
y = mx + b, where m is the slope
Replacing by the values we know:
150 = -10/3 * 30 + b
b = 150 + 100
b = 250
Therefore, the y intercept is 250.
Hence the y intercept is 250 and the slope is -10/3.
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classifying quadrilaterals
Answer:
D, E, F
Step-by-step explanation:
Answer:
D and F
Step-by-step explanation:
a parallelogram is a quadrilateral with two sets of parallel sides
a quadrilateral is a shape with 4 edges
There are 345 rows of flowers in a garden. Each row contains 48 flowers. Find the estimated number of flowers in the garden.
Please give the statements and explanation
Answer:
total no. of rows in garden= 345 each row contains= 48 flowers
total no. of flowers in the garden= 345*48=16560
Answer:
16,560
Step-by-step explanation:
No of rows = 345
No. of flowers in each row = 48
Estimated no of flowers in the garden
= No of rows * No of flowers in each row
= 345*48
= 16,560
The formula of the area of a square is
Answer:
Step-by-step explanation:
A=lw
Answer:
A = bh
Step-by-step explanation:
you multiply the base length by the height length.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
PLEASE ANSWER THIS: look at the pic for question. Thanks!!!
Answer:
[tex]\text{D. }b^2-4ac>0[/tex]
Step-by-step explanation:
The equation [tex]b^2-4ac[/tex] represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.
For any quadratic:
If the discriminant is positive, or greater than 0, the quadratic has two solutionsIf the discriminant is equal to 0, the quadratic has one distinct real solution (the solution is repeated).If the discriminant is negative, or less than 0, the quadratic has zero solutionsIn the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have [tex]b^2-4ac>0[/tex].
I will mark brainliest to the correct ans
A. a car travels for 4 hours and it covers a distance of 50km each hour. How many km does it cover for the four hours?
Step-by-step explanation:
distance covered by car each hour=50km
distance covered by car in four hours =4×50
200kmstay safe healthy and happy...200km for four hours
Just multiply 50km times 4
To make 12 cookies, you need 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda, what is the ratio of brown sugar is to baking soda is to butter to make 24 cookies is ?
Answer:
1 cup of brown sugar to 2 teaspoon of baking soda
Step-by-step explanation:
Given that 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda is needed to make 12 cookies. Therefore to make 24 cookies, double of this value would be needed.
Hence, 2.5 cups of flour, 220 grams of butter, 1 cup of brown sugar and 2 teaspoon of baking soda would be needed to make 24 cookies.
The ratio of brown sugar is to baking soda is to butter to make 24 cookies = 1 cup / 2 teaspoon = 1 cup of brown sugar to 2 teaspoon of baking soda
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (-6,3). What is the vertex of the function defined as
g(x) = f(x - 2) – 5?
Answer:
The vertex of g(x) is (-4, -2)
Step-by-step explanation:
Let's define general translations:
Vertical translation:
For a function f(x), a vertical translation of N units (So the whole graph of f(x) is translated N units in a given direction) is defined as:
g(x) = f(x) + N
such that:
If N is positive, the translation is upwards
if N is negative, the translation is downwards.
Horizontal translation:
Similar than before, for a function f(x) a horizontal translation of N units is written as:
g(x) = f(x + N)
Where, if N is positive, the translation is to the left
If N is negative, the translation is to the right.
Here, we have the transformation:
g(x) = f(x - 2) - 5
This is a transformation that moves the whole graph of f(x):
2 units to the right
5 units downwards.
So, if a point like (x, y) was in the graph of f(x)
After the translation, that point will be (x + 2, y - 5)
Then, if the original vertex was (-6, 3), the new vertex will be:
(-6 + 2, 3 - 5)
(-4, -2)
The vertex of g(x) is (-4, -2)
ANSWER ASAP!!!!!!!!!
Birthstones of students in your class
qualitative Or quantitative??
Pattern A starts at 0 and uses the rule "add 4." Pattern B starts at 30 and uses the rule "subtract 3."
What are the next four terms in each pattern?
Enter your answers in the boxes.
Answer: 0 4 8 12 16
30 27 24 21 18
Step-by-step explanation:
0 + 4 = 4 4 + 4 = 8 8 + 4 = 12 12 + 4 = 16
30 - 3 = 27 27 - 3 = 24 24 - 3 = 21 21 - 3 = 18
Answer:
Step-by-step explanation:
First column add 4 second column subtract 3
0,30
4,27
8,24
12,21
16,18
Find the polar equation of the conic with the focus at the pole, directrix x = -5, and eccentricity 2.
Step-by-step explanation:
Given that,
Directrix, d= -5, and eccentricity, e = 2.
The polar equation of the conic is given by :
[tex]r=\dfrac{ed}{1-e\cos\theta}[/tex]
Put all the values,
[tex]r=\dfrac{-5\times 2}{1-2\cos\theta}\\\\=\dfrac{-10}{1-2\cos\theta}[/tex]
As e>1, it is a hyperbola. Hence, this is the required solution.