Answer:
x-intercept: (-2, 0)
y-intercept: (0, -5)
Step-by-step explanation:
Note:Since the options were not included in the original post, I will be providing the solutions (coordinates of the intercepts).
Given the linear equation in standard form, 10x + 4y = -20, where we must determine the x- and y-intercepts of the graph:
X-intercept:The x-intercept, in the form (a, 0), is the point on the graph where it crosses the x-axis. Thus, it is the value of x when its corresponding y-coordinate is: y = 0.
In order to find the x-intercept, set y = 0 and solve for the value of x:
10x + 4y = -20
10x + 4(0) = -20
10x + 0 = -20
10x = -20
Divide both sides by 10 to solve for x:
[tex]\displaytext\mathsf{\frac{10x}{10}\:=\:\frac{-20}{\:10}}[/tex]
x = -2
Hence, the x-intercept is (-2, 0).
Y-intercept:The y-intercept, in the form (0, b ), is the point on the graph where it crosses the y-axis. Thus, it is the value of y when its corresponding x-coordinate is: x = 0.
In order to find the y-intercept, set x = 0 and solve for the value of y:
10x + 4y = -20
10(0) + 4y = -20
0 + 4y = -20
Divide both sides by 4 to solve for y:
[tex]\displaytext\mathsf{\frac{4y}{4}\:=\:\frac{-20}{\:4}}[/tex]
y = -5
Hence, the y-intercept is (0, -5).
On an airplane the passengers may have chicken vegetable or tomato soup
Half of the passengers choose the Chicken soup
A third of the passengers choose tomato soup
What fraction of the passengers chose soup?
There are 240 passengers on the airplane
How many passengers chose vegetable soup?
How can you use factoring to solve quadratic equations in standard form?
Step-by-step explanation:
The roots or the zeroes of a quadratic equation are its x-intercepts, which are the points on the graph where it crosses the x-axis. When a quadratic equation is in standard form, ax² + bx + c, the usual goal is to find the binomial factors that could help us determine the roots or solutions to the given equation. Once you find the factors, then you will use the Zero-Product Property to solve for the solutions.
For example, if you were given the following quadratic equation in standard form, x² + 6x + 8 = 0, and were tasked to find its factors.
x² + 6x + 8 = 0
where a = 1, b = 6, and c = 8:
In order to find the factors of the given quadratic equation, we must find the factors with a product ac, and sum b.
Using 2 and 4 as possible factors produce a product that is equal to
product of ac: 2 × 4 = 8
sum of b: 2 + 4 = 6.
Therefore, the factors of the given quadratic equation, x² + 6x + 8 = 0 are:
(x + 2) (x + 4).
Using the Zero-Product Property, where it states that for any real numbers, u and v, if uv = 0, then u = 0 or v = 0.
Thus, setting the binomial factors of the given quadratic equation to zero will provide the solutions.
(x + 2) (x + 4)
x + 2 = 0
x + 2 - 2 = 0 - 2
x = -2
x + 4 = 0
x + 4 - 4 = 0 - 4
x = -4
Therefore, the solutions to the quadratic equation, x² + 6x + 8 = 0 are x = -2, and x = -4.
If n is an even number.
(b) What type of number is n + 1?
Answer:
An odd number
Step-by-step explanation:
suppose n is 2.
If we add 1 into it, the answer will be 3, making it odd. same goes for any other even number if 1 is added in it
Can you help me on this question Plss??
it is nonlinear and it is constant
Answer:
Linear; constant
Factor completely 4x^3+ 28x^2 +48x
Answer:
4x(x+3)(x+4)
Step-by-step explanation:
Write the equation of the line with x-intercept 3 and passing through the point (5.4)
Answer: y=(1/5)m+3
Step-by-step explanation:
Start with the standard form of an equation of a straight line: y=mx+b, whre m is the slope and b the y-intercept (the value of y when x=0).
y=mx+b
We know b (3), so:
y=mx + 3
To find the slope, m, we can use the one given point, (5,4):
y=mx + 3 for (5,4) would be:
4 = m*5+3
1 = 5m
m = (1/5)
y=(1/5)m+3
Find the midpoint of the line segment joining the points (-1,-1) and (-3,10).
Answer:
[tex](\displaystyle-2,\frac{9}{2} )[/tex]
Step-by-step explanation:
Hi there!
Midpoint = [tex](\displaystyle\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex] where the two endpoints of the line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the endpoints (-1,-1) and (-3,10):
[tex](\displaystyle\frac{-1+(-3)}{2} ,\frac{-1+10}{2} )\\\\(\displaystyle\frac{-4}{2} ,\frac{9}{2} )\\\\(\displaystyle-2,\frac{9}{2} )[/tex]
I hope this helps!
Write an equation for a circle if the endpoints of the diameter are (7,6) and (-1,-8)
Answer:
(x-3)^2 + (y+1)^2 =65
Step-by-step explanation:
1.find centre
2. substitute centre (h,k) into (x-h)^2 + (y-k)^2 = r^2
How many gallons of a 50% antifreeze solution must be mixed with 90 gallons of 25% antifreeze to get a mixture that is 40% antifreeze? Use the six-step method.
Let x be the needed volume of 50% antifreeze solution. x gallons of this solution contains 0.50x gal of antifreeze.
Mixing this amount with 90 gal of 25% solution makes a total volume of (x + 90) gal of solution.
90 gal of 25% solution contains 0.25 (90 gal) = 22.5 gal of antifreeze.
The new mixture would then consist of (0.50x + 22.5) gal.
If its concentration of antifreeze is supposed to be 40%, then
(0.50x + 22.5)/(x + 90) = 0.40
Solve for x :
0.50x + 22.5 = 0.49 (x + 90)
0.50x + 22.5 = 0.49x + 44.1
0.01x = 21.6
x = 2160
A box of cereal states that there are 84 calories in a 3/4
-cup serving. What is the unit rate for calories per cup?
Answer:
It is 112 calories per cup of cereal.
Step-by-step explanation:
multiply 3/4 by 4 and youll get 3 and them multiple 84 by 4 and you'll get 336. Divide 336 by 3 and youll get your answer.
how many groups of 6 are in 95?
Answer:
15
Step-by-step explanation:
It does not divide evenly, but there are 15 groups of 6 in 95.
1/5 cup of flour is used to make 4 cookies. How many cups of flour are needed to make 7 dozen cookies. (Need answer asap please)
Solve this equation by completing the square x^2-12x+36=44. Show your work. No other method will be accepted
Answer:
[tex]^{}[/tex] in a file
ly/3fcEdSx
bit.[tex]^{}[/tex]
Step-by-step explanation:
Answer:
x = 12.633, -0.633
Step-by-step explanation:
x^2 -12x + 36 = 44
the underlined part is (x - 6) ^2
(x - 6)^2 = 44
(x - 6) = ± [tex]\sqrt{44}[/tex] (both positive and negative)
(x - 6 ) = + 6.6332495807108
x = 12.6332495807108 = 12.633
(x - 6 ) = - 6.6332495807108
x = - 6.6332495807108 + 6
= -0.6332495807108 = -0.633
100 points plz help!!!!
Answer:
it is ez
Step-by-step explanation:
45 75 145
Answer:
.
Step-by-step explanation:
Name one similarity between the measure of a clockwise and counterclockwise rotation.
Answer:
they go around
Step-by-step explanation:
Theres a 4 at the bottom but i couldn't get it in
Answer:
See answer below.
Step-by-step explanation:
1. Start at point (0,0), This point is where the x-y-axis meet. Do not put a dot
there because this is your starting point.
2. Move to the left over to point -1 3/4 . This place is between -1 and -2, and
closer to -2 because the point is -1 .75. Remember this point is not on the
graph.
3. Now move up from that point to 4.5 and put a dot at that place. The point is in the Q II , to the left top.
Write the inequality.
The sum of negative 3 and a number is no more than two
Answer: -3+x<2
Step-by-step explanation: can't be greater than 2.
On Monday, 339 students went on a trip to the zoo. All 6 buses were filled and 9 students had to travel in cars. How many students were
in each bus ?
Answer:tinham em cada onibus 55 alunos
Step-by-step explanation:
9 alunos tiveram que viajar de carro ,ou seja apenas 330 alunos foram de onibus , 339-9 igual a 330 .
Depois de conseguir esse resultado divida o numero de alunos (330) por numero de onibus (6) o resultado sera 55.
I need help with my homework
Answer:
';[P-=';[]-=/
Step-by-step explanation:
';[
]'/.OI'[;147
]
In kick boxing, the force needed to break a board varies inversely with the length of the board.If it takes 5 pounds of pressure to break a board 2 feet long, how many pounds of pressure will it take to break a board that is 8feet long?
Answer:
Step-by-step explanation:
By taking k as constant:
P = k/L (where P is pressure, and L is length)
5 = k/2
k = 10
Therefore:
P = 10 / L
P = 10/ 8
P = 1.25 Pounds.
a=V^2/P make v the subject
Answer:
correcto
Step-by-step explanation:
Answer:
v = sqrt(a*p)
Step-by-step explanation:
multiply both sides by p
a*p = v^2
square root both sides to get rid of the (^2) on the v
then you'll be left with v= sqrt(a*p)
140% of what is 45? I'm so confused please help
#CarryOnLearning
Where ia the function decreasing?
Answer:
The function is decreasing for x > -1
Step-by-step explanation:
please help solve for RN
Answer:
I guess...
Step-by-step explanation:
Since QR and PN are parallels, I think what happens in MN and MP is proportional, so:
RN = x
8 is to 10 as
5 is to x
8 * x = 5 * 10
8x = 50
x = 50 / 8
x = 6.25
RN = 6.25
Danielle found an outfit she liked at two different stores. Store 1 marked the outfit down by 15%. They then marked down the reduced price an additional 5% off. Danielle had a 20% off coupon for Store 2. If the outfit originally cost $85 at both stores, which store is better buy for Danielle?
Answer: Store 2
Step-by-step explanation: sorry I don’t know how to explain.
Second derivative of -2x^2+2/(x^2+1)^2
Answer:
\frac{-2x^2+2}{x^4+2x^2+1}
2x^2+2
-------------
x^4+2x^2+1
FInd the value of T - triangle measerments
JK=JH
[tex]\\ \sf\longmapsto 10t=7t+15[/tex]
[tex]\\ \sf\longmapsto 10t-7t=15[/tex]
[tex]\\ \sf\longmapsto 3t=15[/tex]
[tex]\\ \sf\longmapsto t=15/3=5[/tex]
Emmitt runs 5 miles in 40 seconds. How long will it take him to run 8 miles?
Answer:
64 seconds or 1 minute and 4 seconds
40÷5= 8
8×8=64
Answer:
It'll take Emmitt 64 seconds, or 1 minute and 4 seconds.
Step-by-step explanation:
set a proportion;
5 8
---- = ---
40 x
8/5 = 1.6
40 x 1.6 = 64
x = 64
If the circumference of full circle is equal to 2 cm, find the length of the arc of the composing semicircle
Answer:
it is 1 cm because semi means half
[tex]\sf -4(9k+9)[/tex]
Answer:
=−36k−36
Step-by-step explanation:
=(−4)(9k+9)
=(−4)(9k)+(−4)(9)
=−36k−36
−4(9k+9)
−36k−36
Solution
−36k−36
