A curve with equation
[tex]y = a {x}^{2} + bx + c[/tex]
crosses the x-axis at (-4,0) and (9,0) and it also passes through the point (1,120).

where does the curve cross the Y axis​

Answer:

[tex]y -7 = -\frac{7}{5}(x-5)[/tex]

or

[tex]y = -\frac{7}{5}x +14[/tex]

Step-by-step explanation:

Parallel lines are lines which have the same slope. To write the equation of the line parallel, find the slope of the equation 7x + 5y = 12 through conversion into slope intercept form.

7x + 5y = 12 becomes y = -7/5x + 12/5. The slope is -7/5.

Substitute\ m =-7/5 and the point (5,7) into the slope intercept form.

[tex]y-y_1=m(x-x_1)\\y -7= -\frac{7}{5}(x - 5)[/tex]

Convert the equation to slope intercept form by applying the distributive property.

[tex]y -7 = -\frac{7}{5}(x-5)\\y -7 = -\frac{7}{5}x +7\\y = -\frac{7}{5}x +7+7\\y = -\frac{7}{5}x +14[/tex]

170 the answer isn't therr

Answer:

212.5 miles on 25 gallons.

Step-by-step explanation:

Set up a proportion

85 miles on 10 gallons

x miles on 25 gallons.

85/10 = x / 25                   Multiply both sides by 25

85*25 / 10 = x                   Simplify the left

2125 / 10 = x

x = 212.5 miles in 25 gallons.

Write the written problem into an equation to get:

3x +2 = 5x -4

To solve:

Add 4 to each side:

3x+6 = 5x

Subtract 3x from each side:

2x = 6

Divide both sides by 2:

x = 6/2

x = 3

You didn't list the options so it could like like any of the equations I show above.

To solve such problems we need to know about expressions.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which are dependent on the context.

The complete equation is 3x+2 = 5x-4 and the value of x is 2.

Given information,

Solution

We can solve the information by dividing the statements into parts,

part A: "The sum of",

Meaning we need to add the two numbers.

part B:  "3 times the value of x",

the first number is 3 times the value of x, therefore, 3x.

part C:  "and 2 is equal to",

the second number is 2. also, "equal" shows that one side of the equation is over and explained.

So, till now we have got

3x + 2

part D:  "4 less than"

meaning 4 is been deducted from a number.

part E: "5 times the value of x",

Now, it is showing us the number from which 4 is been deducted. therefore, the number is 5x.

Thus, the complete equation is 3x+2 = 5x-4.

Further, solving the equation,

[tex]3x+2=5x-2\\+2+2 = 5x-3x\\4 = 2x\\2x =4\\x =2[/tex]

Hence, the value of x is 2.

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Length of more string needed to fly the kite 10 feet higher is 15.55 ft.

The angle of elevation is the angle between the horizon and the line of sight. If the line of sight is above the horizon, the angle formed is the elevation angle.

Given,

Height of the string above the ground = 4 feet

Angle of elevation = 40°

length of the string = 90 ft

sin 40° = x/90

0.643 = (x)/90

x = 57.87 ft

For 10 ft higher, let the length be 90 + y

sin 40° = (57.87 + 10)/(90 + y)

0.643 = (57.87 + 10)/(90 + y)

57.87 + 0.643y = 57.87 + 10

0.643y = 10

y = 10/0.643

y = 15.55 ft

Hence, 15.55ft more string is needed to let out kite to fly 10 ft higher.

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Final answer:

To find the extra string needed to raise the kite by 10ft, we can use trigonometry and set up an equation based on the sine function. By plugging in the values and solving the equation, we find that you would need 37.7ft of extra string.

Explanation:

To find how much more string you would need to let out for the kite to fly 10ft higher, we can use trigonometry. First, let's find the height of the kite above the ground when 90ft of string is let out. We can use the sine function: sin(40°) = height / 90ft. Rearranging the equation, we find height = sin(40°) * 90ft = 57.7ft. Now, to find the extra string needed to raise the kite by 10ft, we can set up a similar equation: sin(40°) = (height + 10ft) / (90ft + x), where x is the extra string. Rearranging the equation, we get x = ((height + 10ft) / sin(40°)) - 90ft. Plugging in the values, we have x = ((57.7ft + 10ft) / sin(40°)) - 90ft = 37.7ft.

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept → (0, b)

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (7, 4) and (0, -3) → b = -3.

Substitute to the formula of a slope:

[tex]m=\dfrac{-3-4}{0-7}=\dfrac{-7}{-7}=1[/tex]

Finally we have the equation:

[tex]y=1x-3[/tex]

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{2},\stackrel{y}{-10})~~ \textit{we know } \begin{cases} x=2\\ y=-10 \end{cases}\implies -10=k2\implies \cfrac{-10}{2}=k\implies -5=k \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=-5x~\hfill[/tex]

Answer:   d) 4

Step-by-step explanation:

[tex]\bigg(-\dfrac{2}{5}x\bigg)(5y)(-2x)\\\\\\=\bigg(-\dfrac{2}{5}\bigg)(5)(-2)\cdot x^2y\\\\\\=(-2)(-2)\cdot x^2y\\\\=4\cdot x^2y[/tex]

The first one is: 785cm^3

Working out:

[tex]volume \: of \: cylinder = \pi {r}^{2}h[/tex]

[tex]3.14 \times {5}^{2} \times 10[/tex]

[tex] = 785[/tex]

[tex]answer = 785 {cm}^{3} [/tex]

Step-by-step explanation:

2 days= 24 hours in 1 day, so multiply that by 2 to get 48 hours total.

Now find the amount of time the wild fire doubles by dividing 48 total hours by 6. So it will double 8 times

The size was 1 acre. Let's multiply by 2, 8 times

1

2

4

8

16

32

64

128

The fire will cover 128 acres in two days.

The wildfire, which is doubling every 6 hours, would cover 256 acres of land over a two day period.

The problem involves exponential growth, which is a concept in mathematics where a quantity increases exponentially over time. According to the problem, the size of the fire is doubling every 6 hours. So, we have 24 hours in a day, and two days would give us 48 hours.

Now, divide the total hours (48) by the hours it takes for the fire to double in size (6), we get 8. This is the number of times the fire doubles in size over a 2 day period.

Since the fire was initially 1 acre, after 8 doubles or in 2 days, it would cover 28 or 256 acres of land.

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Answer:

50.45

Step-by-step explanation:

Pythagoras theorem

32^2 + 39^2 =x^2

1024+ 1521 =x^2

2545=x^2

[tex]\sqrt{2545} =x[/tex]

x= 50.45

The length of x is 50.44

According to Pythagorean theorem

Putting the values

Hyp² = 39² + 32²

Hyp² = 1521 + 1024

Hyp² = 2545

Taking square root on both sides we get

Hyp = 50.44

Answer:

f and b

Step-by-step explanation:

if you put them in y-intercept form, both slopes are 3

In b. it's easy to see that 3x has a slope of 3.

In f. it's not so obvious. Just solve for y or use the shortcut m = -a/b where a is the coefficient of x and  b is the coeff of y.

hence -(6/-2)=3

Answer:

Step-by-step explanation:

assuming you know how to put the equations into y = m x + b already.  All equations have to be put in that format to identify the slope.  Parallel lines have the same slope.

a.  y = -2x - 1; slope -2

b.  y = 3x - 1; slope 3

c.  y = 2x - 3; slope 2

d.  y = 4x + 3; slope 4

e.  y = x/2 - 1; slope 1/2

f.  y = 3x; slope 3

g.  y = x/3 + 4/3; slope 1/3

h.  y = -x/2 + 5; slope -1/2

There are only 2 that are alike.  b and f both have a slope of 3.  all the other slopes are different.

the relationship between angle H and angle L is that they are corresponding angles.

Answer:

Its 3 triangles that are connected!

Step-by-step explanation:

The 3 points of the FIRST TRIANLE  (closest to the left side of the page) has the points of -4, 2 and -4, -5 and -2, -3.

The 2 points of the SECOND TRIANGLE(connected to the first triangle and third triangle,.... and the third triangle makes the second triangle possible!!) and the points are -2, -3 and -1, -6

The 4 points to the THIRD TRIANGLE (The closest to the right side of the page) the points are 6, 6 and 6, -2 and 4, -3 and 1, -6

Answer: 7 units

Step-by-step explanation: Because when you plot (6,6) and(-1,6) you make a line that is 7 units long. Hope this helps if you have the same question i did :)

Answer:

120%

Step-by-step explanation:

See how much % of 15 and increase to 33 is.  

33 - 15 = 18, so there is a change of 18 feet.  

18/15 = 1.2

1.2 is 120% as a percent.  So there is a 120% change from 15 to 33

Final answer:

The percent of change from 15 feet to 33 feet is found by dividing the difference between the values by the original value and then multiplying by 100, which results in a 120% change.

Explanation:

To calculate the percent of change from 15 feet to 33 feet, first, find the difference between the two values. The difference is 33 feet - 15 feet = 18 feet. Then, divide this difference by the original value (15 feet) and multiply the result by 100 to get the percentage. Thus, the percent of change is (18 feet / 15 feet) × 100 = 120%.

➷ Following the rule of PEMDAS, you would do the multiplication first

2* 0 = 0

2 + 0 = 2

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

Step-by-step explanation:

DMAS rule

Division

Multiplication

Addition

Subtraction

So 2 would be multiplied by o first then added to 2 thats why 2+2*0=2

Hope this helps :)

Answer:

D) y-2x-5

Step-by-step explanation:

Answer:

[tex]y=-2^x[/tex]

Step-by-step explanation:

The parent function of the given graph is y=2^x because all the given options have basic exponent 2^x

LEts take the basic function as [tex]y=a(2)^x[/tex]

To find the value of 'a', pick a point from the given graph

LEts pick (0,-1), plug in the values and find out 'a'

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

[tex]-1=a(2)^0[/tex]

a=-1

The equation becomes

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

[tex]y=-2^x[/tex]

Answer:

X=4

Step-by-step explanation:

2X - 10 = -2

2X = 8

X = 8/2

X = 4

Best regards

Answer:

x=4

Step-by-step explanation:

2x-10= -2

add 10 to -2

which makes it     2x= 8

then divide by 2

x=4

Answer:

I got this.

Step-by-step explanation:

A+B=C+D. SO YOU WANT TO DATE ME?

Answer:

2

Step-by-step explanation:

The mode is 2, because it appears most.

Answer: 2 because there are more X's than the rest

Step-by-step explanation:

Answer: A

Step-by-step explanation:

It’s going right which means that it must be greater. And so it would be greater than -2.

Answer:

A y+5 > -2

Step-by-step explanation:

We have an open circle at -7.  An open circle means greater than

y >-7

We want to add 5 to each side since all of our inequalities have +5 on the left

y+5 > -7+5

y+5 > -2

Answer: First option

Step-by-step explanation:

By definition, the horizontal shift depends on the value of h and the vertical shift depends on the value of k.

[tex]f(x)=(x-h)^3[/tex] indicates that the function if shifted to the right h units.

[tex]f(x)=(x+h)^3[/tex] indicates that the  function if shifted to the left h units.

[tex]f(x)=f(x)-k[/tex] indicates that the  function if shifted  down k units.

[tex]f(x)=f(x)+k[/tex] indicates that the  function if shifted up k units.

Then:

If h is positive, the graph will shift to the right.

If k is negative, the graph will shift down.

 As you can see in the graph, the function is shifted 4 units to the right and 2 units down. Therefore g(x) has the form:

 [tex]g(x)=(x-4)^3-2[/tex]

Where:

[tex]h=4\\k=-2[/tex]

Answer:

A

Step-by-step explanation:

edge 2021

Answer:

10 cubic meters^3

Step-by-step explanation:

10*10*10=1000 cubic meters

Answer:the answer is factor because took a study island and i put a answer that the one below this put and it was wrong but i told me whitch one was correct

Step-by-step explanation:

The number 7 in the expression is defined as the product.

A product is the result of multiplication or an expression that indicates factors that are to be multiplied, in mathematics.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given expression is 2 × 5 + 7(2 + 11) here the expression number 7 in the expression is defined as the product.

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♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷You could arrange them 5040 ways.

You could use 7! which will have you get 7*6*5*4*3*2*1.

That equals to 5040, so you get 5040 ways

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

The number of ways Scott can do the seven chores, on this Saturday is 5040 ways.

The product of a whole number 'n' with every whole number until 1 is called the factorial. The factorial of 4 is, for example, 43221, which equals 24.

The number of ways Scott selects the first chores to do is 7, since, there are seven chores. Similarly, for the next chores, he will have 6 choices, and so on for the fifth, fourth, and the other as well.

Therefore, the number of ways Scott can do the seven chores, this Saturday is,

[tex]\text{Number of ways} = 7 \times 6\times 5\times 4\times 3\times 2\times 1 = 5040[/tex]

Hence, the number of ways Scott can do the seven chores, on this Saturday is 5040 ways.

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there is one bag of chips in each box when they equal 8

2 bags in each when equal to 16

4 bags in each  when equal to 32

and 6 bags in each when equal to 48

To gauge how many free throws a player would make out of 60 attempts, we need to know the player's free throw success rate. Assuming similar conditions to the example given where Carlos, the soccer player has a success rate of 65%, the basketball player would make approximately 39 successful free throws from 60 attempts.

The question seems to be asking how many free throws a player would be expected to make if he attempted 60 free throws. The missing information here would be the player's free throw success rate which isn't provided. However, let's use the example of Carlos from college soccer as an analogy; if Carlos has a success rate of 65%, then for every 100 attempts, he would make 65 goals. Now if the basketball player followed the same trend and had a success rate of 65%, and he attempted 60 free throws, we would calculate 65% of 60. This equals 39, therefore we would be expecting the player to make approximately 39 free throws.

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For one real (double) root, set discriminant [tex]\( \Delta \)[/tex] to zero: [tex]\( 144 - 36k = 0 \)[/tex]. Solve to get [tex]\( k = 4 \)[/tex].

To find the value of [tex]\( k \)[/tex] so that the equation [tex]\( 9x^2 + 12x + k = 0 \)[/tex] has one real number (double) root, we use the discriminant [tex](\( \Delta \))[/tex] of the quadratic equation. For a double root, [tex]\( \Delta = 0 \)[/tex].

The discriminant is given by [tex]\( \Delta = b^2 - 4ac \)[/tex], where [tex]\( a = 9 \)[/tex], [tex]\( b = 12 \)[/tex], and [tex]\( c = k \)[/tex].

Substitute these values into the discriminant formula:

[tex]\[ \Delta = (12)^2 - 4(9)(k) \][/tex]

[tex]\[ = 144 - 36k \][/tex]

For a double root, [tex]\( \Delta = 0 \)[/tex], so:

[tex]\[ 144 - 36k = 0 \][/tex]

[tex]\[ 36k = 144 \][/tex]

[tex]\[ k = \frac{144}{36} \][/tex]

[tex]\[ k = 4 \][/tex]

Therefore, [tex]\( k = 4 \)[/tex] to have one real number (double) root.

Answer:

the answer i got was £46,000

Step-by-step explanation:

how i got this answer was that i multiplied £2300 • 5 and got £11,500 then i multiplied £11,500 • 4 and got £46,000

i hope this helps you.