Consider the following two functions: f(x) = -.25x+4 and g(x)= .5x-1. State:

a. The y-intercept, x-intercept and slope of f(x)

b. The y-intercept, x-intercept and slope of g(x)

c. Determine the point of intersection. State your method used.

Answers

Answer 1

Answer:

f(x)= -25x+4

y-inter x=0

y= -25(0)+4

=4

x-inter y=0

0= -25x+4

-4= -25x

x=4/25


Related Questions

Help me out plsssssss

Answers

120 the answer is 120

Answer:

125

Step-by-step explanation:

the bearing of b to a is equal to 85+45

Find a function whose graph is a parabola with vertex (1, −2) and that passes through the point (5, 14)

Answers

Answer:

[tex]f(x)=(x-1)^2-2[/tex]

Step-by-step explanation:

Equation of a parabola:

[tex]y=a(x-h)^2+k[/tex]

The vertex is given as [tex](h,k)[/tex] -> [tex](1, -2)[/tex]

Plug in both the given point and vertex to find the value of [tex]a[/tex]:

[tex]y=a(x-h)^2+k[/tex]

[tex]y=a(x-1)^2-2[/tex]

[tex]14=a(5-1)^2-2[/tex]

[tex]14=a(4)^2-2[/tex]

[tex]14=16a-2[/tex]

[tex]16=16a[/tex]

[tex]1=a[/tex]

[tex]a=1[/tex]

Therefore, the final function is [tex]f(x)=(x-1)^2-2[/tex]

See attached graph below for a visual of the function.

I will give BRAINLIEST to whoever answers correctly first!!!

Sophie wants to buy a pair of scissors that cost $1.82. If she gives the cashier a five dollar bill, how
much change should she get back?

Answers

$3.18

Explanation: I am a cashier hahaha

Answer:

Sophie will get $3.18 back in change.

Step-by-step explanation:

You do 5.00-1.82 and you get 3.18, which is equal to the change that Sophie will get.

Mark the angles and sides of each pair of triangles to indicate that they are congruent. NO LINKS!!!​

Answers

Answer: See the attached image below

=========================================================

Explanation:

The order of the lettering is important because the order tells us how the letters pair up.

For DCB and CDJ, we have D and C as the first letters. So that means angle D and angle C are congruent between the triangles. I've marked this in red. The other angles are handled the same way.

The congruences for the segments are then built up from the angles.

A + B + C = 4
step by step please​

Answers

Step-by-step explanation:

Let's solve for a.

a+b+c=4

Step 1: Add -b to both sides.

a+b+c+−b=4+−b

a+c=−b+4

Step 2: Add -c to both sides.

a+c+−c=−b+4+−c

a=−b−c+4

Answer:

a=−b−c+4

(hope this helped plz mark brilliant)

explain why triangles in the figure are similar. then find the missing length x

Answers

Answer:

∨∨∨∨see below∨∨∨∨∨∨

Step-by-step explanation:   6  26  18  13

The two outside angles are congruent.  The two inside angles are supplemental thus they are equal.  The last two angles the high one and the lower one must sum to 180° in their respective triangles so they are equal since their similar angles are equal.

find x

4 is to x as 5 is to 7.5

   4/x = 5/7.5      solve for x

   4 × 7.5 / 5  = x

    30 / 5  =  x

       6 = x

how can i solve the following
4(5x-2) = 2(9x + 3

Answers

20x-18x=6+8
2x=14
X=7
Answer

What is the result of subtracting the second equation from the first

Answers

I didn’t undertand the question... mayb ur attachment isnt added! Plz check!

Find the center and radius of x^2 + y^2 +6x - 7=0

Answers

Answer:

The center (-3, 0)

9514 1404 393

Answer:

center: (-3, 0)radius: 4

Step-by-step explanation:

The desired parameters can be found by putting the equation into the standard form for the equation of a circle:

  (x -h)^2 +(y -k)^2 = r^2 . . . . . circle centered at (h, k) with radius r

The values of h and k will be half the coefficients of the linear x- and y-terms, respectively.

  x^2 +6x +9 +y^2 -7 = 9 . . . . . add 9 to complete the square

  (x +3)^2 +y^2 = 16 . . . . . . . . . add 7 to get the desired form

This equation shows us (h, k) = (-3, 0) and r = 4.

The center is (-3, 0), and the radius is 4.

Instructions: Find the value of x
Please help

Answers

The two chords are the same length given by the 4 short lines through each section.

Because the chords are the same length they need to be equal distance from the center of the circle

X = 9

Please help meeeeeee!!​

Answers

Since m is parallel to n, the angle opposite to 4x-23 will be 2x+17. These are vertical angles, meaning they’re the same.
4x-23=2x+17
2x=40
x=20
Problem:-

Find x so that m || n. Show your work.

Solution:-

Since m || n, 4x – 23 = 2x + 17 by the Converse of alternate exterior angles theorem.

Solve for x.

[tex]\sf{4x-23=2x+17}[/tex]

[tex]\sf{4x-2x-23=2x-2x+17}[/tex]

[tex]\sf{2x-23=17}[/tex]

[tex]\sf{2x-23+23=17+23}[/tex]

[tex]\sf{2x=40}[/tex]

[tex]\sf{\frac{2x}{2}={\frac{40}{2}}}[/tex]

[tex]\sf{x={\color{magenta}{20}}}[/tex]

========================

#Hope it helps!

(ノ^_^)ノ

What is the area of this???

Answers

9.09(m2)??
I think so

if △ABC = △DEF, which side is congruent to EF?
A. AB
B. BC
C. AC

Answers

Answer:

BC

Step-by-step explanation:

BECAUSE BC IT'S EQUAL TO EF

Answer:

B. BC

Step-by-step explanation:

By SSS rule in ∆ ABC and DEF,

AB = DEBC = EFCA = FD

What is the value of log √10?

Answers

Answer:

0.5

Step-by-step explanation:

Answer:

.5

Step-by-step explanation:

calculator

The product of 4 and the depth of the pool

Answers

Answer:

product means multiplication (×) so what ever is the depth of the pool is multiplied by 4

Step-by-step explanation:

what is the depth of the pool?

PLEASE HELP ME FAST I WILL GIVE BRAINLYEST

Answers

7.)

cbrt(1200)

10.63

8.)

sqrt(112)

10.58

Answer:

1.) because 10^3=1000 and 11^3 = around 1330  we know that the answer must fall between 10 and 11. Because they're pretty much equal distance I would estimate it to be around 10.5 (if you need an exact answer it's 2∛150)

2.) because 11^2=121 and 10^2= 100 we know that it must fall between 10 and 11. Because these are pretty much equal distance as well I would estimate it to be around 10.5 as well (if you need an exact answer it's 4√7)

Step-by-step explanation:

pls help for both 12 and 13!!

Answers

Answer:

The answer to 12 is 40 cubic units

Step-by-step explanation:

A shipping carton is in the shape of a triangular prism. The base area of the triangle is 6 inches squared and the the height of the prism is 15 inches. how many cubic inches of space are in the carton?

Answers

51

Step-by-step explanation:

uajdnensjdkalsnnamakksls

in a system of equations why is the intersection the solution

Answers

9514 1404 393

Answer:

  It satisfies both equations.

Step-by-step explanation:

The points on the graph of an equation are the values of the variables that satisfy the equation (make it true).

In a system of equations, you're generally looking for values of the variables that satisfy all of the equations in the system. That is, the solution will be a point on the graph of every equation in the system.

For a point to be on more than one graph, it must lie at a point of intersection of the graphs. If all of the graphs of a system go through the point of intersection, that point satisfies all of the equations, so is a solution of the system of equations.

Sadie and Connor both play soccer. Connor scored 2 times as many goals as Sadie. Together they scored 9 goals. Could Sadie have scored 4 goals? Why or why not?

Answers

Answer:

no

the goal total would be too high

Step-by-step explanation: If Sadie had scored 4 goals, Connor would have scored 2 times 4 = 8 goals. Their goal total would then be 4+8 = 12, not 9. Sadie cannot have scored 4 goals.

__

If we let s represent the number of goals Sadie scored, then 2s is the number Connor scored. Their total is ...

 s + 2s = 9

 3s = 9 . . . . . . collect terms

 s = 9/3 = 3 . . . divide by the coefficient of s

Sadie scored 3 goals. (s=4 is not the solution to the problem)

PLS HELP ASAP !!! PLSSS !!

Answers

Answer:

74

Step-by-step explanation:

the lines r parallel and the angle on the same side

Answer:

74°

Step-by-step explanation:

..........................

Helpp please… due at 12:00

Answers

Answer:alternate exterior angles

Step-by-step explanation:

Since they’re on the outside of the parallel lines that makes them exterior

The correct answer is C. Alternate Exterior Angles

I need help with #3. Please help. I have to show all work so please explain

Answers

Answer:

a = 2

Step-by-step explanation:

Use Pythagorean Theorem:

[tex]a^2+b^2=c^2\\a^2+2.1^2=2.9^2\\a^2+4.41=8.41\\a^2=4\\\sqrt{a^2}=\sqrt{4}\\a=2[/tex]

Therefore, a is 2 meters.

determine the value of a in the figure shown

Answers

Answer:

d

Step-by-step explanation:

180-149= 31.

31+ 122= 153

180-153= 27

a= 27


in rectangle ABCD above,
1. How many opposite sides are equal?
2. Name the parallel opposite sides.
3. Name the opposite angles that are equal.
4. How many right angles can you identify?
5. Identify the equal opposite sides.
6. How many triangles can you identify?
7. Line AB and CD are adjacent to each other.
true or false?
8. the dotted lines AC andBD are called what?

Answers

Answer and Step-by-step explanation:

1. 2 pairs (aka 4 sides) of Opposite Sides are equal

2. AB and DC are parallel, and AD and BC are parallel  

3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal

4. 4 right angles

5. AB and DC are equal, and AD and BC are equal

6. 4 Triangles

7. False

8. Diagonals of a rectangle.

#teamtrees #PAW (Plant And Water)

expand 3e(e+4)
Hhhhhhh

Answers

Answer:

[tex]3e^{2} + 12e[/tex]

Step-by-step explanation:

[tex]3ee+3e4[/tex]

[tex]3ee+3 * 4e[/tex]

[tex]3e^{2} + 12e\\[/tex]

[tex]3 \: {e}^{2} + 12 \: e[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3 \: e \: ( \: e + 4 \: ) \\ \\ = 3 \: e \times \: e + 3 \: e \times 4 \\ \\ = 3 \: {e}^{2} + 12 \: e[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]

A manufacturer claims that the mean lifetime,u , of its light bulbs is 51 months. The standard deviation of these lifetimes is 7 months. Sixty bulbs are selected at random, and their mean lifetime is found to be 53 months. Can we conclude, at the 0.1 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 51 months?
Perform a two-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.)
the null hypothesis:
The alternative hypotehsis:
The type of test statistic (choose Z, t, Chi-square, or F)
The value of the test statistic (round to at least three decimal places:
Can we conclude that the mean lifetime of the bulbs made by this manufacture differ from 51 months?

Answers

Answer:

We reject  H₀, and conclude thet the mean lifetime of the bulbs differ from 51 month

Step-by-step explanation:

Manufacturing process under control must produce items that follow a normal distribution.

Manufacturer information:

μ  =  51 months     mean lifetime

σ  =  7 months       standard deviation

Sample Information:

x  =  51 months

n  =  60

Confidence Interval  =  90 %

Then significance level  α  =  10 %  α  =  0.1    α/2  =  0,05

Since it is a manufacturing process the distribution is a normal distribution, and with   n = 60 we should use a Z test on two tails.

Then from z- table z(c) for  α = 0,05  is  z(c)  = 1.64

Hypothesis  Test:

Null Hypothesis                              H₀            x  =  μ

Alternative Hypothesis                  Hₐ            x ≠  μ

To calculate z statistics  z(s)

z(s)  =   (  x   -  μ )  / σ /√n

z(s)  =   (  53  -  51 ) / 7 /√60

z(s)  =  2 * 7.746 / 7

z(s)  = 2.213

Comparing  z(s)  and  z(c)

z(s)  >  z(c)   then  z(s)  is in the rejection region

We reject  H₀, and conclude thet the mean lifetime of the bulbs differ from 51 month

pls i need this one n i pass the class pls pls help me

Answers

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

The two triangles are similar by the ASA theorem. The ratio of long side to short side in each right triangle is the same:

  x/3 = 7.5/4.5

  x = 3(7.5/4.5) . . . . multiply by 3

  x = 5

a + b = 300 pls help i cant find out the answer

Answers

Answer:

a= 250

b= 50

250 + 50 = 300

Step-by-step explanation:

There's many solutions but this was the first one I could come up with.

Answer:

my opinion is seince a+b=300 then the sqaure of 300= 17.3?

Step-by-step explanation:

please help picture included
Match the verbal expression (term) with its algebraic expression (definition). Match Term Definition Some number A) a = 2 increased by two A variable decreased B) b + 2 by two Product of an C) y2 unknown value and two D) X - 2 Quotient of some number and two An unknown value E) 22 squared​

Answers

9514 1404 393

Answer:

  B, D, E, A, C

Step-by-step explanation:

The main idea here is to use your English comprehension skill to determine the meaning of the phrase, then use your math understanding to write it in symbols. Turning off your brain at the sight of a "word problem" will not be productive.

The wording "some number" or "a variable" or "unknown value" all refer to a variable, typically represented by a single letter. Letters commonly use are {a, b, c, x, y, z}, but variables are not restricted to that set (nor to single letters, nor lower case letters).

In most cases, the math expression is a direct translation of the English expression using the usual math symbols. Values are generally increased by addition, decreased by subtraction, squared using an exponent of 2. A product is the result of multiplication, and a quotient is the result of division.

Top-to-bottom, the boxes on the left will be filled with B, D, E, A, C.

Other Questions
Owen bought 4 pizzas for a class party. If each person ate 1/5 of a pizza, how many people could be served? Division and multiplecation please right the correct equation. Help!! Please also explain how you got your answer Put the verbs in correct form Sadie and Connor both play soccer. Connor scored 2 times as many goals as Sadie. Together they scored 9 goals. Could Sadie have scored 4 goals? Why or why not? PLS HELP ASAP !!! PLSSS !! first answer gets most brainley explain why triangles in the figure are similar. then find the missing length x Name & describe the six essential activities of the digestive tract. Which is NOT a propositionA. Marlon is eating his lunch B. Will you be at school tomorrow.C. The earth is rectangularD. 10 + 5 = 15 if ABC = DEF, which side is congruent to EF?A. ABB. BCC. AC Jessie borrowed $1800 from the bank at a rate of 7.5% simple interest per year. Over the course of 4 years, how much interest did he pay? scenarios that describe a country with a healthy economy Rewrite this paragraph and make it better: My father is a teacher. I admire him a lot. I am considering becoming a teacher too. My older brother works for a big company. My father really loves learning, so he is a natural teacher. My father always helped me with my homework. I guess I will become a teacher. * Re write: "She never seems to succeed even though she works hard." with However WRITE A PARAGRAPH ABOUT INTRESTING FACTS ABOUT IDAHO/FUN FACTS Solve the equation 6x^2 + 15x + 3= 2x^2 to the nearest tenth. somebody please help meeWhich two sources are secondary sources for an essay on World War II? 1) a history textbook on the events of World War ll2) a book about the effects of World War ll 3) The Diary of Anne Frank (the experiences of Jewish family during World War II) 4) the Constitution of France 5) letter written by a soldier who fought the Germans What ideology did the robber barons use to justify their excesses?A The Social ContractB Social DarwinismC The Social GospelD Social Capital A manufacturer claims that the mean lifetime,u , of its light bulbs is 51 months. The standard deviation of these lifetimes is 7 months. Sixty bulbs are selected at random, and their mean lifetime is found to be 53 months. Can we conclude, at the 0.1 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 51 months?Perform a two-tailed test. Then fill in the table below.Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.)the null hypothesis:The alternative hypotehsis:The type of test statistic (choose Z, t, Chi-square, or F)The value of the test statistic (round to at least three decimal places:Can we conclude that the mean lifetime of the bulbs made by this manufacture differ from 51 months? The viscid silk produced by the European garden spider (Araneus diadematus) has a resilience of 0.35. If 10.0 J of work are done on the silk to stretch it out, how many Joules of work are released as thermal energy as it relaxes?