Using the graph, determine the coordinates of the y-intercept of the parabola.

Answer:

Common factor

5x^{2}+35x

5(x^{2}+7x)

2

Rewrite in factored form

5(x^{2}+7x)

5x(x+7)

Solution

5x(x+7)

Step-by-step explanation:

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Answer:

[tex]x = 2~\text{and} ~x = -3[/tex]

Step-by-step explanation:

[tex]~~~~~~f(x) = g(x)\\\\\implies -x +4 =x^2 -2\\\\\implies x^2 -2+x -4=0\\\\\implies x^2 +x -6 = 0\\\\\implies x^2 +3x -2x -6 =0\\\\\implies x(x+3) - 2(x+3) = 0\\\\\implies (x-2)(x+3) = 0\\\\\implies x = 2,~ x = -3[/tex]

Answer:

x = -3 and x = 2

Step-by-step explanation:

Plotting the graphs :

f(x)

⇒ Find two points (preferably the x and y intercepts)

⇒ 0 = -x + 4

⇒ x = 4

⇒ Point 1 : (4, 0)

⇒ f(x) = 0 + 4

⇒ f(x) = 4

⇒ Point 2 : (0, 4)

g(x)

⇒ g(x) = 0 - 2

⇒ g(x) = -2

⇒ Point 1 : (0, -2)

⇒ g(x) = 2² - 2

⇒ g(x) = 2

⇒ Point 2 : (2, 2)

* Graph with both functions is attached below *

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Finding the solutions :

⇒ Equate f(x) and g(x)

⇒ -x + 4 = x² - 2

⇒ x² + x - 6 = 0

⇒ x² + 3x - 2x - 6 = 0

⇒ (x + 3)(x - 2) = 0

⇒ x = -3 and x = 2

Answer:

What you need to remember for answering this question is that the probability of any event is the number of sample points in the event divided by the number of sample points in the sample space.

If you have multiple trials and if the sampling is with replacement then, no matter how many samples are drawn, the probabilities remain the same for each trial.

Answer:

1233cm^2

Step-by-step explanation:

a of triangle = 1/2 bh

1/2 x 12 x 9 = 54

108 x 2 = 108

a of regtangle = l x w

25 x 15 = 375

375 x 3 = 1125

total surface area = 1125 + 108 = 1233cm^2

Answer:

3/2 + 3/2 + 3/2 = 3/1

so 3 over 1 times 1 over 2

[tex]\\ \rm\Rrightarrow 77x+93=360[/tex]

[tex]\\ \rm\Rrightarrow 77x=360-93[/tex]

[tex]\\ \rm\Rrightarrow 77x=367[/tex]

[tex]\\ \rm\Rrightarrow x=4.77[/tex]

[tex]\\ \rm\Rrightarrow x=4.8[/tex]

Aswer with Nina ^-^

Don't report my answer ✅

Answer:

See below

Step-by-step explanation:

y = -3 x^7   is NOT a parabola....   y = -3x^2  IS a parabola that opens downward due to the negative coefficient (-3)

Answer:

-1.5

Step-by-step explanation:

h(-1/2)=2 [tex](\frac{-1}{2})^{2}[/tex] -2

h(-1/2)= [tex]\frac{1}{2} -2\\[/tex]

h(-1/2)=-1.5

Total courses =5

Each course has 3 options

5 courses has

Hence

Answer: m = 15

Explanation:

Each (1 course) has 3 options

By multiplication,

5 courses shall have: (5 × 3) = 15 choices

By addition,

Sum of choices for 5 courses: (5 + 5 + 5) = 15 choices

Answer:

21.99

Step-by-step explanation:

Answer:

$42 would be the correct answer.

Polynomial is an expression that consists of indeterminate(variable) and coefficients. The roots of the given polynomial are -2, -1, 0, and 2.

Polynomial is an expression that consists of indeterminate(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponential.

The roots of the given polynomial when plotted on graph are the point at which the graph intersect the x-axis. Therefore, the roots of the given polynomial is,

x = -2, -1, 0, 2

Hence, the roots of the given polynomial are -2, -1, 0, and 2.

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Answer:

It's A. -2, -1, 0, 2

Step-by-step explanation:

Answer:

D) y = 1x + 2

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this equation, "m" stands for the slope and "b" stands for the y-intercept. You can substitute the given value of the slope into the equation. Since you are not given "b", you can plug the value of the points into the half-completed equation (with the slope) and isolate "b".

slope = m = 1

y = (1)x + b

(3,5) ------> y = 5 and x = 3

5 = 1(3) + b

5 = 3 + b

2 = b

Final Equation:

y = 1x + 2

The price per share of the stock of the high-tech firm that was purchased by Jake is  $50.

Percentage is a measure of frequency that calculates the fraction of an amount out of hundred.

What is the price per share of the stock purchased by Jake = current value / ( 1 + percentage increase)

61 / 1.22 = $50

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The figure (i) have a distance of 15.996 meters and a displacement of 13.892 meters and (ii) a distance of 480 centimeters and a displacement of 339.411 centimeters

The distance is the sum of the lengths that form a trajectory and the displacement is the distance between the initial and final point of a trajectory. Then, we have the following results for each case:

Case I

Distance

d = 5 m + 0.5π · (7 m)

d ≈ 15.996 m

Displacement

[tex]D = \sqrt{(12\,m)^{2}+(7 m)^{2}}[/tex]

D ≈ 13.892 m

Case II

Distance

d = 8 · (60 cm)

d = 480 cm

Displacement

[tex]D =\sqrt{(240\,cm)^{2}+(240\,cm)^{2}}[/tex]

D ≈ 339.411 cm

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Answer:

A money market fund is a type of mutual fund that invests in high-quality, short-term debt instruments and cash equivalents.

8x+72.8=5x+84.5

8x-5x = 84.5-72.8

3x = 11.7

x = 3.9

x = {3.9}

Answer:

4

Step-by-step explanation:

Given :

f(x) = x² - 6x + 8

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

Solving :

Splitting the middle term :

⇒ f(x) = x² - 6x + 8

⇒ f(x) = x² - 2x - 4x + 8

⇒ f(x) = x (x - 2) - 4 (x - 2)

⇒ f(x) = (x - 4)(x - 2)

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

Solutions :

⇒ x - 4 = 0 ⇒ x = 4

⇒ x - 2 = 0 ⇒ x = 2

Answer:

[tex]\sf 2 x-5y +25=0[/tex]

Explanation:

Equation:

[tex]\dashrightarrow \sf y - y_1 =m(x - x_1)[/tex]

[tex]\dashrightarrow \sf y - 1 = \dfrac{2}{5} (x - (-10))[/tex]

[tex]\dashrightarrow \sf y = \dfrac{2}{5} x +4 + 1[/tex]

[tex]\dashrightarrow \sf y = \dfrac{2}{5} x +5[/tex]

[tex]\dashrightarrow \sf 5y = 2 x +25[/tex]

the answer is 40 minute's 250-210 is 40

Answer:

3.6%

Step-by-step explanation:

Because the two events are independent, their probabilities are multiplied, so the probability of a student being born in March and having a blood type of O+ is 9% * 40% = 0.09 * 0.40 = 0.036 = 3.6%

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The principal at the end of 3 years is $248.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = (P × R × T)/100

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

The principal at the end of 3 years is,

Principal after 3 years = P + (P × R × T)

= $200 + ($200 × 0.08 × 3)

= $200 + $48

= $248

Hence, the principal at the end of 3 years is $248.

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Answer:

See below

Step-by-step explanation:

Basically, the associative property states that when an expression has three terms, they can be grouped in any way to solve that expression.

For example, [tex](8*4)*5=8*(4*5)[/tex] if you're doing multiplication, or [tex](8+4)+5=8+(4+5)[/tex], if you're doing addition.

The length of DE in the triangles is 5.9

The given parameters are:

DB = 6.3

AC = 9.4

AD : DB = 3 : 5

Substitute DB = 6.3 in AD : DB = 3 : 5

AD : 6.3 = 3 : 5

Express as fraction

AD / 6.3 = 3 / 5

Multiply both sides by 6.3

AD = 3.78

The length DE is then calculated using the following ratio:

BD : DE = BA : AC

Where:

BA = BD + AD

This gives

BD : DE = BD + AD : AC

Substitute known values

6.3 : DE = 6.3 + 3.78 : 9.4

Simplify

6.3 : DE = 10.08 : 9.4

Express as fraction

DE/6.3 = 9.4/10.08

Multiply both sides by 6.3

DE = 5.9

Hence, the length of DE is 5.9

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Answer:

[tex]\textsf{Mean}\:\overline{X}=\sf \dfrac{\textsf{sum of all the data values}}{\textsf{total number of data values}}[/tex]

[tex]\implies \sf Mean\:(Nilo)=\dfrac{5+6+14+15}{4}=\dfrac{40}{4}=10[/tex]

[tex]\implies \sf Mean\:(Lisa)=\dfrac{8+9+11+12}{4}=\dfrac{40}{4}=10[/tex]

[tex]\displaystyle \textsf{Standard Deviation }s=\sqrt{\dfrac{\sum X^2-\dfrac{(\sum X)^2}{n}}{n-1}}[/tex]

[tex]\begin{aligned}\displaystyle \textsf{Standard Deviation (Nilo)} & =\sqrt{\dfrac{(5^2+6^2+14^2+15^2)-\dfrac{(5+6+14+15)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{482-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{82}{3}}\\\\& = 5.23\end{aligned}[/tex]

[tex]\begin{aligned}\displaystyle \textsf{Standard Deviation (Lisa)} & =\sqrt{\dfrac{(8^2+9^2+11^2+12^2)-\dfrac{(8+9+11+12)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{410-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{10}{3}}\\\\& = 1.83\end{aligned}[/tex]

Nilo has a mean score of 10 and a standard deviation of 5.23.

Lisa has a mean score of 10 and a standard deviation of 1.83.

The mean scores are the same.

Nilo's standard deviation is higher than Lisa's.  Therefore, Nilo's test scores are more spread out that Lisa's, which means Lisa's test scores are more consistent.

Looking at the problem, what we must do to complete this question is to completely factor the expression that was provided.  The expression that was provided is [tex]15c^2 - 5c[/tex].

The first step that we must do is to take a look at the expression and see what the two pieces of the expression have in common.  We can see that both [tex]15c^2[/tex] and [tex]-5c[/tex] have the number 5 and the variable c associated with them so we can factor out those two.

Factor out 5c

Now we have completely factored out the expression that was provided in the problem statement and we came to final answer of [tex]5c(3c - 1)[/tex].

Answer:

5c(3c - 1)

Step-by-step explanation:

Take out the 5c to factor out completely

Answer:

A its becuase im rewlly smart